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How to use get_center method in toolium

Best Python code snippet using toolium_python

fermatscenes.py

Source:fermatscenes.py

...33		self.wait(3)3435		def shifter(x,y,z):36			self.play(37				ApplyMethod(x.move_to,y.get_center()),38				ApplyMethod(y.move_to,z.get_center()),39				Rotating(z,radians=PI,about_point=y.get_center()),40				rate_func=smooth,run_time=1.641			)4243		shifter(r_dot,b_dot,b2_dot)44		45		self.wait(2)4647		shifter(b2_dot,r_dot,b_dot)4849		self.wait(2)5051		shifter(b_dot,b2_dot,r_dot)5253		self.wait(2)5455		self.play(ApplyMethod(dots.shift,UP*1.5))5657		#####58		#New set of dots5960		_r_dot=Dot()61		_b_dot=Dot()62		_r2_dot=Dot()6364		scale=46566		_r_dot.set_color(RED)67		_b_dot.set_color(BLUE)68		_r2_dot.set_color(RED)6970		_r_dot.scale(scale)71		_b_dot.scale(scale)72		_r2_dot.scale(scale)7374		_r_dot.next_to(_b_dot,LEFT,1)75		_r2_dot.next_to(_b_dot,RIGHT,1)7677		_dots=VGroup(_r_dot,_b_dot,_r2_dot)7879		_dots.shift(DOWN)8081		self.play(82			ShowCreation(_r_dot),83			ShowCreation(_b_dot),84			ShowCreation(_r2_dot)85			)8687		self.wait(3)8889		shifter(_r_dot,_b_dot,_r2_dot)90		91		self.wait(2)9293		shifter(_r2_dot,_r_dot,_b_dot)9495		self.wait(2)9697		shifter(_b_dot,_r2_dot,_r_dot)9899		self.wait(2)100101		self.play(ApplyMethod(dots.shift,DOWN*0.5))102103		self.wait()104105		reds1=Dot(color=RED)106		reds2=Dot(color=RED)107		reds3=Dot(color=RED)108109		blues1=Dot(color=BLUE)110		blues2=Dot(color=BLUE)111		blues3=Dot(color=BLUE)112113		reds=VGroup(reds1,reds2,reds3)114		reds.scale(4)115		reds1.next_to(reds2,LEFT,1)116		reds3.next_to(reds2,RIGHT,1)117118		reds.move_to(dots.get_center()+UP*2)119120		blues=VGroup(blues1,blues2,blues3)121		blues.scale(4)122		blues1.next_to(blues2,LEFT,1)123		blues3.next_to(blues2,RIGHT,1)124125		blues.move_to(_dots.get_center()+DOWN*2)126127		self.play(ShowCreation(reds))128		self.wait()129		self.play(ShowCreation(blues))130131		self.wait(2)132133		self.play(FadeOut(reds),FadeOut(blues))134135		self.wait(2)136137		self.play(FadeOut(_dots))138139		self.wait()140141		sh11=Dot(color=BLUE)142		sh12=Dot(color=RED)143		sh13=Dot(color=BLUE)144145		sh11.scale(4)146		sh12.scale(4)147		sh13.scale(4)148149		sh11.next_to(sh12,LEFT,1)150		sh13.next_to(sh12,RIGHT,1)151152		sh1_g=VGroup(sh11,sh12,sh13)153154		sh1_g.move_to(ORIGIN+DOWN)155156		arr1=TextMobject("$$\\rightarrow$$")157		arr1.rotate(about_point=arr1.get_center(),angle=-PI/2)158		arr1.scale(1.9)159		c_point=VGroup(dots,sh1_g)160		arr1.move_to(c_point.get_center())161162		self.wait()163164		self.play(ShowCreation(arr1))165166		self.play(ShowCreation(sh1_g))167168		self.wait()169170		sh21=Dot(color=BLUE)171		sh22=Dot(color=BLUE)172		sh23=Dot(color=RED)173174		sh21.scale(4)175		sh22.scale(4)176		sh23.scale(4)177178		sh21.next_to(sh22,LEFT,1)179		sh23.next_to(sh22,RIGHT,1)180181		sh2_g=VGroup(sh21,sh22,sh23)182183		sh2_g.move_to(ORIGIN+DOWN*3)184185		self.wait()186187		arr2=TextMobject("$$\\rightarrow$$")188		arr2.rotate(about_point=arr2.get_center(),angle=-PI/2)189		arr2.scale(1.9)190		c_point=VGroup(sh1_g,sh2_g)191		arr2.move_to(c_point.get_center())192193		self.play(ShowCreation(arr2))194195		self.play(ShowCreation(sh2_g))196197		self.wait(4)198199		self.play(200			FadeOut(arr1),201			FadeOut(arr2),202			FadeOut(dots),203			FadeOut(sh1_g),204			FadeOut(sh2_g)205			)206		self.wait()207208209#python -m manim MITintegral\Fermat\fermatscenes.py ShiftFour -pl210class ShiftFour(MovingCameraScene):211	def setup(self):212		MovingCameraScene.setup(self)213	def construct(self):214		self.camera_frame.scale(1.3)215		a=Dot(color=RED)216		b=Dot(color=RED)217		c=Dot(color=BLUE)218		d=Dot(color=BLUE)219220		scale=3221222		a.scale(scale)223		b.scale(scale)224		c.scale(scale)225		d.scale(scale)226227		a.next_to(b,LEFT,1)228		c.next_to(b,RIGHT,1)229		d.next_to(c,RIGHT,1)230231		s_dots=VGroup(a,b,c,d)232233		s_dots.move_to(ORIGIN)234235		s_dots.shift(UP*3)236237		self.play(ShowCreation(s_dots))238239		self.wait()240241		arrows=[]242243		dots=[]244245		def shift_down(a,b,c,d):246			scale=3247			a_new=Dot(color=d.get_color())248			b_new=Dot(color=a.get_color())249			c_new=Dot(color=b.get_color())250			d_new=Dot(color=c.get_color())251252			a_new.scale(3)253			b_new.scale(3)254			c_new.scale(3)255			d_new.scale(3)256257			a_new.move_to(a.get_center()+DOWN*1.8)258			b_new.move_to(b.get_center()+DOWN*1.8)259			c_new.move_to(c.get_center()+DOWN*1.8)260			d_new.move_to(d.get_center()+DOWN*1.8)261262			arr=TextMobject("$$\\rightarrow$$")263			arr.scale(1.9)264			arr.rotate(about_point=arr.get_center(),angle=-PI/2)265			f_g=VGroup(b,c,b_new,c_new)266			arr.move_to(f_g.get_center())267268			arrows.append(arr)269270			dots.append(a_new)271			dots.append(b_new)272			dots.append(c_new)273			dots.append(d_new)274275			self.play(ShowCreation(arr))276			self.play(277				ShowCreation(a_new),278				ShowCreation(b_new),279				ShowCreation(c_new),280				ShowCreation(d_new)281				)282283284		shift_down(a,b,c,d)285286		self.wait()287288		shift_down(dots[0],dots[1],dots[2],dots[3])289290		self.wait()291292		shift_down(dots[4],dots[5],dots[6],dots[7])293294		self.wait()295296		shift_down(dots[8],dots[9],dots[10],dots[11])297298		self.wait(2)299300		self.play(301			FadeOut(dots[12]),302			FadeOut(dots[13]),303			FadeOut(dots[14]),304			FadeOut(dots[15]),305			FadeOut(arrows[3])306			)307308		self.wait(3)309310		self.play(311			FadeOut(a),312			FadeOut(b),313			FadeOut(c),314			FadeOut(d),315			FadeOut(dots[0]),316			FadeOut(dots[1]),317			FadeOut(dots[2]),318			FadeOut(dots[3]),319			FadeOut(dots[4]),320			FadeOut(dots[5]),321			FadeOut(dots[6]),322			FadeOut(dots[7]),323			FadeOut(dots[8]),324			FadeOut(dots[9]),325			FadeOut(dots[10]),326			FadeOut(dots[11]),327			FadeOut(arrows[0]),328			FadeOut(arrows[1]),329			FadeOut(arrows[2])330			)331332		self.wait(2)333334335#python -m manim MITintegral\Fermat\fermatscenes.py ShiftFour2 -pl336class ShiftFour2(MovingCameraScene):337	def setup(self):338		MovingCameraScene.setup(self)339	def construct(self):340		self.camera_frame.scale(1.3)341		a=Dot(color=RED)342		b=Dot(color=BLUE)343		c=Dot(color=RED)344		d=Dot(color=BLUE)345346		scale=3347348		a.scale(scale)349		b.scale(scale)350		c.scale(scale)351		d.scale(scale)352353		a.next_to(b,LEFT,1)354		c.next_to(b,RIGHT,1)355		d.next_to(c,RIGHT,1)356357		s_dots=VGroup(a,b,c,d)358359		s_dots.move_to(ORIGIN)360361		s_dots.shift(UP*3)362363		self.play(ShowCreation(s_dots))364365		self.wait()366367		arrows=[]368369		dots=[]370371		def shift_down(a,b,c,d):372			scale=3373			a_new=Dot(color=d.get_color())374			b_new=Dot(color=a.get_color())375			c_new=Dot(color=b.get_color())376			d_new=Dot(color=c.get_color())377378			a_new.scale(3)379			b_new.scale(3)380			c_new.scale(3)381			d_new.scale(3)382383			a_new.move_to(a.get_center()+DOWN*1.8)384			b_new.move_to(b.get_center()+DOWN*1.8)385			c_new.move_to(c.get_center()+DOWN*1.8)386			d_new.move_to(d.get_center()+DOWN*1.8)387388			arr=TextMobject("$$\\rightarrow$$")389			arr.scale(1.9)390			arr.rotate(about_point=arr.get_center(),angle=-PI/2)391			f_g=VGroup(b,c,b_new,c_new)392			arr.move_to(f_g.get_center())393394			arrows.append(arr)395396			dots.append(a_new)397			dots.append(b_new)398			dots.append(c_new)399			dots.append(d_new)400401			self.play(ShowCreation(arr))402			self.play(403				ShowCreation(a_new),404				ShowCreation(b_new),405				ShowCreation(c_new),406				ShowCreation(d_new)407				)408409410		shift_down(a,b,c,d)411412		self.wait()413414		shift_down(dots[0],dots[1],dots[2],dots[3])415416		self.wait()417418		self.wait(2)419420		self.play(421			FadeOut(dots[4]),422			FadeOut(dots[5]),423			FadeOut(dots[6]),424			FadeOut(dots[7]),425			FadeOut(arrows[1])426			)427428		self.wait(2)429430		self.play(431			FadeOut(dots[0]),432			FadeOut(dots[1]),433			FadeOut(dots[2]),434			FadeOut(dots[3]),435			FadeOut(arrows[0])436			)437		self.play(ApplyMethod(s_dots.move_to,ORIGIN))438		self.play(ApplyMethod(self.camera_frame.scale,0.5))439440		self.wait(2)441442		f_g=VGroup(a,b)443444		buff=0.2445		box1=Rectangle(height=a.get_height()+buff,width=f_g.get_width()+buff,stroke_color=BLUE)446		box1.move_to(f_g.get_center())447448		f_g2=VGroup(c,d)449450		box2=Rectangle(height=a.get_height()+buff,width=f_g.get_width()+buff,stroke_color=BLUE)451		box2.move_to(f_g2.get_center())452453		self.play(ShowCreation(box1))454		self.wait()455		self.play(ShowCreation(box2))456457		self.wait(2)458459		g1=VGroup(a,b,box1)460		g2=VGroup(c,d,box2)461462		g=VGroup(g1,g2)463464		angle=ValueTracker(0)465466		dist=np.abs(g2.get_center())467468		self.play(469			ApplyMethod(g1.move_to,g2.get_center()),470			ApplyMethod(g2.move_to,g1.get_center()),471			)472473		self.wait(2)474475476477#python -m manim MITintegral\Fermat\fermatscenes.py ShiftNine -pl478class ShiftNine(MovingCameraScene):479	def setup(self):480		MovingCameraScene.setup(self)481	def construct(self):482		self.camera_frame.scale(1.3)483		a=Dot(color=RED)484		b=Dot(color=BLUE)485		c=Dot(color=GREEN)486		d=Dot(color=RED)487		e=Dot(color=BLUE)488		f=Dot(color=GREEN)489		g=Dot(color=RED)490		h=Dot(color=BLUE)491		i=Dot(color=GREEN)492493		scale=3494495		a.scale(scale)496		b.scale(scale)497		c.scale(scale)498		d.scale(scale)499		e.scale(scale)500		f.scale(scale)501		g.scale(scale)502		h.scale(scale)503		i.scale(scale)504505		a.next_to(b,LEFT,1)506		c.next_to(b,RIGHT,1)507		d.next_to(c,RIGHT,1)508		e.next_to(d,RIGHT,1)509		f.next_to(e,RIGHT,1)510		g.next_to(f,RIGHT,1)511		h.next_to(g,RIGHT,1)512		i.next_to(h,RIGHT,1)513514		s_dots=VGroup(a,b,c,d,e,f,g,h,i)515516		s_dots.move_to(ORIGIN)517518		s_dots.shift(UP*3)519520		self.play(ShowCreation(s_dots))521522		self.wait(2)523524		buff=0.2525526		f_g=VGroup(a,b,c)527528		box1=Rectangle(width=f_g.get_width()+buff,height=f_g.get_height()+buff,color=BLUE)529		box1.move_to(f_g.get_center())530531		box2=Rectangle(width=f_g.get_width()+buff,height=f_g.get_height()+buff,color=BLUE)532		box2.move_to(ORIGIN+UP*3)533534		box3=Rectangle(width=f_g.get_width()+buff,height=f_g.get_height()+buff,color=BLUE)535		box3.move_to(UP*3+RIGHT*(ORIGIN-f_g.get_center()))536537		self.play(ShowCreation(box1))538539		self.wait()540541		self.play(ShowCreation(box2))542		self.play(ShowCreation(box3))543544		self.wait(2)545546		self.play(547			FadeOut(box1),548			FadeOut(box2),549			FadeOut(box3)550			)551552		arrows=[]553554		dots=[]555556		def shift_down(a,b,c,d,e,f,g,h,i):557			scale=3558			a_new=Dot(color=i.get_color())559			b_new=Dot(color=a.get_color())560			c_new=Dot(color=b.get_color())561			d_new=Dot(color=c.get_color())562			e_new=Dot(color=d.get_color())563			f_new=Dot(color=e.get_color())564			g_new=Dot(color=f.get_color())565			h_new=Dot(color=g.get_color())566			i_new=Dot(color=h.get_color())567568			a_new.scale(3)569			b_new.scale(3)570			c_new.scale(3)571			d_new.scale(3)572			e_new.scale(3)573			f_new.scale(3)574			g_new.scale(3)575			h_new.scale(3)576			i_new.scale(3)577578			a_new.move_to(a.get_center()+DOWN*1.8)579			b_new.move_to(b.get_center()+DOWN*1.8)580			c_new.move_to(c.get_center()+DOWN*1.8)581			d_new.move_to(d.get_center()+DOWN*1.8)582			e_new.move_to(e.get_center()+DOWN*1.8)583			f_new.move_to(f.get_center()+DOWN*1.8)584			g_new.move_to(g.get_center()+DOWN*1.8)585			h_new.move_to(h.get_center()+DOWN*1.8)586			i_new.move_to(i.get_center()+DOWN*1.8)587588			arr=TextMobject("$$\\rightarrow$$")589			arr.scale(1.9)590			arr.rotate(about_point=arr.get_center(),angle=-PI/2)591			f_g=VGroup(e,e_new)592			arr.move_to(f_g.get_center())593594			arrows.append(arr)595596			dots.append(a_new)597			dots.append(b_new)598			dots.append(c_new)599			dots.append(d_new)600			dots.append(e_new)601			dots.append(f_new)602			dots.append(g_new)603			dots.append(h_new)604			dots.append(i_new)605606			self.play(ShowCreation(arr))607			self.play(608				ShowCreation(a_new),609				ShowCreation(b_new),610				ShowCreation(c_new),611				ShowCreation(d_new),612				ShowCreation(e_new),613				ShowCreation(f_new),614				ShowCreation(g_new),615				ShowCreation(h_new),616				ShowCreation(i_new),617				)618619620		shift_down(a,b,c,d,e,f,g,h,i)621622		self.wait()623624		shift_down(625			dots[0],626			dots[1],627			dots[2],628			dots[3],629			dots[4],630			dots[5],631			dots[6],632			dots[7],633			dots[8]634			)635636		self.wait()637638		shift_down(639			dots[9],640			dots[10],641			dots[11],642			dots[12],643			dots[13],644			dots[14],645			dots[15],646			dots[16],647			dots[17]648			)649650		self.wait(3)651652		self.play(653			FadeOut(dots[18]),654			FadeOut(dots[19]),655			FadeOut(dots[20]),656			FadeOut(dots[21]),657			FadeOut(dots[22]),658			FadeOut(dots[23]),659			FadeOut(dots[24]),660			FadeOut(dots[25]),661			FadeOut(dots[26]),662			FadeOut(arrows[2])663			)664665		self.wait(2)666667		self.play(ApplyMethod(self.camera_frame.scale,50),run_time=2)668669		self.wait()670671#python -m manim MITintegral\Fermat\fermatscenes.py ShiftFive -pl672class ShiftFive(MovingCameraScene):673	def setup(self):674		MovingCameraScene.setup(self)675	def construct(self):676		self.camera_frame.scale(1.3)677		a=Dot(color=RED)678		b=Dot(color=BLUE)679		c=Dot(color=BLUE)680		d=Dot(color=RED)681		e=Dot(color=BLUE)682683		scale=3684685		a.scale(scale)686		b.scale(scale)687		c.scale(scale)688		d.scale(scale)689		e.scale(scale)690691		a.next_to(b,LEFT,1)692		c.next_to(b,RIGHT,1)693		d.next_to(c,RIGHT,1)694		e.next_to(d,RIGHT,1)695696		s_dots=VGroup(a,b,c,d,e)697698		s_dots.move_to(ORIGIN)699700		s_dots.shift(UP*3)701702		self.play(ShowCreation(s_dots))703704		self.wait(2)705706		buff=0.2707708		f_g=VGroup(a,b,c)709710		box1=Rectangle(width=f_g.get_width()+buff,height=f_g.get_height()+buff,color=BLUE)711		box1.move_to(f_g.get_center())712713		box2=Rectangle(width=f_g.get_width()+buff,height=f_g.get_height()+buff,color=BLUE)714		box2.move_to(e.get_center())715716		self.play(ShowCreation(box1))717718		self.wait()719720		self.play(ShowCreation(box2))721722		self.wait(2)723724		self.play(725			FadeOut(box1),726			FadeOut(box2),727			)728729		f_g=VGroup(a,b)730731		box1=Rectangle(width=f_g.get_width()+buff,height=f_g.get_height()+buff,color=BLUE)732		box1.move_to(f_g.get_center())733734		f_g=VGroup(c,d)735736		box2=Rectangle(width=f_g.get_width()+buff,height=f_g.get_height()+buff,color=BLUE)737		box2.move_to(f_g.get_center())738739		self.play(ShowCreation(box1))740		self.play(ShowCreation(box2))741742		self.wait(2)743744		self.play(745			FadeOut(box1),746			FadeOut(box2)747			)748749		self.wait(2)750751		arrows=[]752753		dots=[]754755		def shift_down(a,b,c,d,e):756			scale=3757			a_new=Dot(color=e.get_color())758			b_new=Dot(color=a.get_color())759			c_new=Dot(color=b.get_color())760			d_new=Dot(color=c.get_color())761			e_new=Dot(color=d.get_color())762763			a_new.scale(3)764			b_new.scale(3)765			c_new.scale(3)766			d_new.scale(3)767			e_new.scale(3)768769			a_new.move_to(a.get_center()+DOWN*1.8)770			b_new.move_to(b.get_center()+DOWN*1.8)771			c_new.move_to(c.get_center()+DOWN*1.8)772			d_new.move_to(d.get_center()+DOWN*1.8)773			e_new.move_to(e.get_center()+DOWN*1.8)774775			arr=TextMobject("$$\\rightarrow$$")776			arr.scale(1.9)777			arr.rotate(about_point=arr.get_center(),angle=-PI/2)778			f_g=VGroup(c,c_new)779			arr.move_to(f_g.get_center())780781			arrows.append(arr)782783			dots.append(a_new)784			dots.append(b_new)785			dots.append(c_new)786			dots.append(d_new)787			dots.append(e_new)788789			self.play(ShowCreation(arr))790			self.play(791				ShowCreation(a_new),792				ShowCreation(b_new),793				ShowCreation(c_new),794				ShowCreation(d_new),795				ShowCreation(e_new),796				)797798799		shift_down(a,b,c,d,e)800801		self.wait()802803		shift_down(804			dots[0],805			dots[1],806			dots[2],807			dots[3],808			dots[4]809			)810811		self.wait()812813		shift_down(814			dots[5],815			dots[6],816			dots[7],817			dots[8],818			dots[9]819			)820821		self.wait()822823		shift_down(824			dots[10],825			dots[11],826			dots[12],827			dots[13],828			dots[14]829			)830831		self.wait(2)832833		self.play(ApplyMethod(self.camera_frame.scale,50),834			rate_func=smooth,run_time=2)835836		self.wait()837838#python -m manim MITintegral\Fermat\fermatscenes.py ProbExp -pl839class ProbExp(Scene):840	def construct(self):841		r1=Dot(color=RED)842		r2=Dot(color=RED)843		r3=Dot(color=RED)844		b1=Dot(color=BLUE)845		b2=Dot(color=BLUE)846		b3=Dot(color=BLUE)847848		scale=4849		r1.scale(scale)850		r2.scale(scale)851		r3.scale(scale)852		b1.scale(scale)853		b2.scale(scale)854		b3.scale(scale)855856		buff=.8857858		r1.move_to(RIGHT*3.8+UP*2)859		r2.next_to(r1,RIGHT,buff)860		r3.next_to(r1,DOWN,buff)861		b1.next_to(r2,DOWN,buff)862		b2.next_to(r3,LEFT,buff)863		b3.next_to(r1,LEFT,buff)864865		dots=VGroup(866			r1,867			r2,868			r3,869			b1,870			b2,871			b3872			)873874		self.play(ShowCreation(dots))875876		self.wait(3)877878		box_b=0.2879880		box1=Rectangle(width=r1.get_width()+box_b,height=r1.get_height()+box_b)881		box2=Rectangle(width=r1.get_width()+box_b,height=r1.get_height()+box_b)882		box3=Rectangle(width=r1.get_width()+box_b,height=r1.get_height()+box_b)883884		box1.move_to(LEFT*3.7+DOWN*0.8)885		box2.next_to(box1,RIGHT,1)886		box3.next_to(box2,RIGHT,1)887888		boxes=VGroup(box1,box2,box3)889890		self.play(ShowCreation(boxes))891892		self.wait(3)893894		#markers for dot positions895		oo=Dot()896		ot=Dot()897		oth=Dot()898		to=Dot()899		tt=Dot()900		tth=Dot()901902		oo.move_to(r2.get_center())903		ot.move_to(r1.get_center())904		oth.move_to(b3.get_center())905		to.move_to(b1.get_center())906		tt.move_to(r3.get_center())907		tth.move_to(b2.get_center())908909		#move exp takes in three dots910		def move_exp(d1,d2,d3):911			c1=d1.get_center()912			c2=d2.get_center()913			c3=d3.get_center()914915			self.play(ApplyMethod(d1.move_to,box1.get_center()))916			self.play(ApplyMethod(d2.move_to,box2.get_center()))917			self.play(ApplyMethod(d3.move_to,box3.get_center()))918			self.wait()919			self.play(920				ApplyMethod(d1.move_to,c1),921				ApplyMethod(d2.move_to,c2),922				ApplyMethod(d3.move_to,c3)923				)924925		move_exp(r1,b2,b3)926927		self.wait()928929		move_exp(r3,b1,b3)930931		self.wait()932933		move_exp(r2,r3,r1)934935		self.wait(3)936937		self.play(ApplyMethod(boxes.move_to,dots.get_center()+DOWN*2.5))938939		self.wait(3)940941		self.play(ApplyMethod(box1.set_color,YELLOW))942		self.play(ApplyMethod(box1.set_color,WHITE))943944		self.play(ApplyMethod(r1.move_to,box1.get_center()))945		self.wait(0.6)946		self.play(947			ApplyMethod(r1.move_to,ot.get_center()),948			ApplyMethod(b1.move_to,box1.get_center())949			)950		self.wait(0.6)951		self.play(ApplyMethod(b1.move_to,to.get_center()))952953		self.wait(3)954955		rop1=Dot(color=RED)956		bop1=Dot(color=BLUE)957958		rop1.move_to(LEFT*5+UP*2)959		bop1.move_to(LEFT*5+DOWN*2)960961		rop1.scale(2)962		bop1.scale(2)963964		lines=[]965966		self.play(ShowCreation(rop1),ShowCreation(bop1))967968		#branch takes in a dot, and the angle and length of the lines 969		#wished to be created970		def branchup(dot,angle,leng):971			buf=0.15972			up_line=Line(973				#from974				dot.get_center()+RIGHT*buf*np.cos(angle)+UP*buf*np.sin(angle),975				#to976				dot.get_center()+RIGHT*buf*np.cos(angle)+UP*buf*np.sin(angle)+RIGHT*leng*np.cos(angle)+UP*leng*np.sin(angle)977				)978			red=Dot(color=RED)979			red.scale(2)980			red.move_to(dot.get_center()+RIGHT*buf*np.cos(angle)+UP*buf*np.sin(angle)+RIGHT*leng*np.cos(angle)+UP*leng*np.sin(angle)+RIGHT*buf*np.cos(angle)+UP*buf*np.sin(angle))981			lines.append(up_line)982			self.play(ShowCreation(red),ShowCreation(up_line))983			return red984985		def branchdown(dot,angle,leng):986			buf=0.15987			down_line=Line(988				#from989				dot.get_center()+RIGHT*buf*np.cos(angle)+DOWN*buf*np.sin(angle),990				#to991				dot.get_center()+RIGHT*buf*np.cos(angle)+DOWN*buf*np.sin(angle)+RIGHT*leng*np.cos(angle)+DOWN*leng*np.sin(angle)992				)993			blue=Dot(color=BLUE)994			blue.scale(2)995			blue.move_to(dot.get_center()+RIGHT*buf*np.cos(angle)+DOWN*buf*np.sin(angle)+RIGHT*leng*np.cos(angle)+DOWN*leng*np.sin(angle)+RIGHT*buf*np.cos(angle)+DOWN*buf*np.sin(angle))996			lines.append(down_line)997			self.play(ShowCreation(blue),ShowCreation(down_line))998			return blue9991000		self.wait(2)10011002		self.play(ApplyMethod(box2.set_color,YELLOW))1003		self.play(ApplyMethod(box2.set_color,WHITE))10041005		self.play(ApplyMethod(r1.move_to,box2.get_center()))1006		self.wait(0.6)1007		self.play(1008			ApplyMethod(r1.move_to,ot.get_center()),1009			ApplyMethod(b1.move_to,box2.get_center())1010			)1011		self.wait(0.6)1012		self.play(ApplyMethod(b1.move_to,to.get_center()))10131014		rop1_u=branchup(rop1,PI/6,1.4)1015		rop1_d=branchdown(rop1,PI/6,1.4)10161017		self.wait(2)10181019		bop1_u=branchup(bop1,PI/6,1.4)1020		bop1_d=branchdown(bop1,PI/6,1.4)10211022		self.wait(2)10231024		####1025		#Third round10261027		self.play(ApplyMethod(box3.set_color,YELLOW))1028		self.play(ApplyMethod(box3.set_color,WHITE))10291030		self.play(ApplyMethod(r1.move_to,box3.get_center()))1031		self.wait(0.6)1032		self.play(1033			ApplyMethod(r1.move_to,ot.get_center()),1034			ApplyMethod(b1.move_to,box3.get_center())1035			)1036		self.wait(0.6)1037		self.play(ApplyMethod(b1.move_to,to.get_center()))10381039		self.wait(2)10401041		an=PI/91042		l=0.810431044		rop1_u_u=branchup(rop1_u,an,l)1045		rop1_u_d=branchdown(rop1_u,an,l)10461047		rop1_d_u=branchup(rop1_d,an,l)1048		rop1_d_d=branchdown(rop1_d,an,l)10491050		bop1_u_u=branchup(bop1_u,an,l)1051		bop1_u_d=branchdown(bop1_u,an,l)10521053		bop1_d_u=branchup(bop1_d,an,l)1054		bop1_d_d=branchdown(bop1_d,an,l)10551056		self.wait(3)10571058		#separaters10591060		group1=VGroup(rop1,bop1)1061		sep1=Rectangle(width=rop1.get_width()+box_b,height=group1.get_height()+box_b,stroke_color=BLUE)1062		sep1.move_to(group1.get_center())1063		self.play(ShowCreation(sep1))10641065		self.wait(2)10661067		two1=TextMobject("2")1068		two1.scale(1.7)1069		two1.next_to(box1,DOWN*0.5)1070		self.play(Write(two1))10711072		self.wait()10731074		group2=VGroup(rop1_u,bop1_d)1075		sep2=Rectangle(width=rop1.get_width()+box_b,height=group2.get_height()+box_b,stroke_color=BLUE)1076		sep2.move_to(group2.get_center())1077		self.play(ShowCreation(sep2))10781079		self.wait(2)10801081		two2=TextMobject("2")1082		two2.scale(1.7)1083		two2.next_to(box2,DOWN*0.5)10841085		times=TextMobject("$$\\times$$")1086		f_g=VGroup(two1,two2)1087		times.move_to(f_g.get_center())10881089		self.play(Write(times),Write(two2))10901091		self.wait()10921093		group3=VGroup(rop1_u_u,bop1_d_d)1094		sep3=Rectangle(width=rop1.get_width()+box_b,height=group3.get_height()+box_b,stroke_color=BLUE)1095		sep3.move_to(group3.get_center())1096		self.play(ShowCreation(sep3))10971098		self.wait(2)10991100		two3=TextMobject("2")1101		two3.scale(1.7)1102		two3.next_to(box3,DOWN*0.5)11031104		times2=TextMobject("$$\\times$$")1105		f_g2=VGroup(two2,two3)1106		times2.move_to(f_g2.get_center())11071108		self.play(Write(times2),Write(two3))11091110		self.wait(2)11111112		all_=VGroup(two1,two2,two3,times,times2)1113		two_cu=TextMobject("$$2^{3}$$")1114		two_cu.scale(1.7)1115		two_cu.next_to(box2,DOWN,0.6)11161117		self.play(Transform(all_,two_cu))11181119		self.wait(3)11201121		self.play(1122			FadeOut(all_),1123			FadeOut(sep1),1124			FadeOut(sep2),1125			FadeOut(sep3)1126			)11271128		self.wait()11291130		######################1131		#Fourth box stuff11321133		dist=box3.get_center()-box2.get_center()11341135		self.play(ApplyMethod(boxes.shift,LEFT*dist))11361137		box4=Rectangle(width=r1.get_width()+box_b,height=r1.get_height()+box_b)11381139		box4.next_to(box3,RIGHT,1)11401141		self.play(ShowCreation(box4))11421143		self.wait()11441145		self.play(ApplyMethod(box4.set_color,YELLOW))1146		self.play(ApplyMethod(box4.set_color,WHITE))11471148		self.play(ApplyMethod(r1.move_to,box4.get_center()))1149		self.wait(0.6)1150		self.play(1151			ApplyMethod(r1.move_to,ot.get_center()),1152			ApplyMethod(b1.move_to,box4.get_center())1153			)1154		self.wait(0.6)1155		self.play(ApplyMethod(b1.move_to,to.get_center()))11561157		self.wait(3)11581159		an=PI/14.51160		l=0.511611162		rop1_u_u_u=branchup(rop1_u_u,an,l)1163		rop1_u_u_d=branchdown(rop1_u_u,an,l)11641165		rop1_u_d_u=branchup(rop1_u_d,an,l)1166		rop1_u_d_d=branchdown(rop1_u_d,an,l)11671168		rop1_d_u_u=branchup(rop1_d_u,an,l)1169		rop1_d_u_d=branchdown(rop1_d_u,an,l)11701171		rop1_d_d_u=branchup(rop1_d_d,an,l)1172		rop1_d_d_d=branchdown(rop1_d_d,an,l)11731174		bop1_u_u_u=branchup(bop1_u_u,an,l)1175		bop1_u_u_d=branchdown(bop1_u_u,an,l)11761177		bop1_u_d_u=branchup(bop1_u_d,an,l)1178		bop1_u_d_d=branchdown(bop1_u_d,an,l)11791180		bop1_d_u_u=branchup(bop1_d_u,an,l)1181		bop1_d_u_d=branchdown(bop1_d_u,an,l)11821183		bop1_d_d_u=branchup(bop1_d_d,an,l)1184		bop1_d_d_d=branchdown(bop1_d_d,an,l)11851186		self.wait(2)11871188		two1=TextMobject("2")1189		two1.scale(1.7)1190		two1.next_to(box2,DOWN*0.5)1191		two2=TextMobject("2")1192		two2.scale(1.7)1193		two2.next_to(box3,DOWN*0.5)11941195		times=TextMobject("$$\\times$$")1196		f_g=VGroup(two1,two2)1197		times.move_to(f_g.get_center())1198		two3=TextMobject("2")1199		two3.scale(1.7)1200		two3.next_to(box4,DOWN*0.5)12011202		times2=TextMobject("$$\\times$$")1203		f_g2=VGroup(two2,two3)1204		times2.move_to(f_g2.get_center())1205		all_=VGroup(two1,two2,two3,times,times2)12061207		two0=TextMobject("2")1208		two0.scale(1.7)1209		two0.next_to(box1,DOWN*0.5)12101211		times0=TextMobject("$$\\times$$")1212		f_g0=VGroup(two0,two1)1213		times0.move_to(f_g0.get_center())12141215		all2_=VGroup(1216			two0,1217			times0,1218			all_1219			)12201221		self.play(Write(all2_))12221223		two_f=TextMobject("$$2^{4}$$")1224		two_f.scale(1.7)1225		f_g3=VGroup(two1,two2)1226		two_f.move_to(f_g3.get_center())12271228		self.wait()12291230		self.play(Transform(all2_,two_f))12311232		self.wait(3)12331234		self.play(FadeOut(two_f),FadeOut(all2_))12351236		self.play(FadeOut(box4))12371238		self.play(ApplyMethod(boxes.shift,RIGHT*dist))12391240		self.play(1241			FadeOut(lines[0]),1242			FadeOut(lines[1]),1243			FadeOut(lines[2]),1244			FadeOut(lines[3]),1245			FadeOut(lines[4]),1246			FadeOut(lines[5]),1247			FadeOut(lines[6]),1248			FadeOut(lines[7]),1249			FadeOut(lines[8]),1250			FadeOut(lines[9]),1251			FadeOut(lines[10]),1252			FadeOut(lines[11]),1253			FadeOut(lines[12]),1254			FadeOut(lines[13]),1255			FadeOut(lines[14]),1256			FadeOut(lines[15]),1257			FadeOut(lines[16]),1258			FadeOut(lines[17]),1259			FadeOut(lines[18]),1260			FadeOut(lines[19]),1261			FadeOut(lines[20]),1262			FadeOut(lines[21]),1263			FadeOut(lines[22]),1264			FadeOut(lines[23]),1265			FadeOut(lines[24]),1266			FadeOut(lines[25]),1267			FadeOut(lines[26]),1268			FadeOut(lines[27]),1269			FadeOut(rop1_u),1270			FadeOut(rop1_d),1271			FadeOut(rop1_u_u),1272			FadeOut(rop1_u_d),1273			FadeOut(rop1_d_u),1274			FadeOut(rop1_d_d),1275			FadeOut(rop1_u_u_u),1276			FadeOut(rop1_u_d_u),1277			FadeOut(rop1_d_u_u),1278			FadeOut(rop1_d_d_u),1279			FadeOut(rop1_u_u_d),1280			FadeOut(rop1_u_d_d),1281			FadeOut(rop1_d_u_d),1282			FadeOut(rop1_d_d_d),1283			FadeOut(bop1_u),1284			FadeOut(bop1_d),1285			FadeOut(bop1_u_u),1286			FadeOut(bop1_u_d),1287			FadeOut(bop1_d_u),1288			FadeOut(bop1_d_d),1289			FadeOut(bop1_u_u_u),1290			FadeOut(bop1_u_d_u),1291			FadeOut(bop1_d_u_u),1292			FadeOut(bop1_d_d_u),1293			FadeOut(bop1_u_u_d),1294			FadeOut(bop1_u_d_d),1295			FadeOut(bop1_d_u_d),1296			FadeOut(bop1_d_d_d),1297			)12981299		self.wait(3)13001301		self.play(ApplyMethod(r1.set_color,GREEN),ApplyMethod(b1.set_color,GREEN))13021303		self.play(ApplyMethod(r2.move_to,box1.get_center())),13041305		self.play(1306			ApplyMethod(r2.move_to,oo.get_center()),1307			ApplyMethod(b2.move_to,box1.get_center())1308			)13091310		self.play(1311			ApplyMethod(b2.move_to,tth.get_center()),1312			ApplyMethod(r1.move_to,box1.get_center())1313			)1314		self.play(ApplyMethod(r1.move_to,ot.get_center()))13151316		self.wait(3)13171318		gop1=Dot(color=GREEN)1319		gop1.scale(2)1320		ops=VGroup(rop1,bop1)1321		gop1.move_to(ops.get_center())13221323		self.play(ShowCreation(gop1))13241325		self.wait(2)13261327		def branchmid(dot,angle,leng):1328			buf=0.151329			down_line=Line(1330				#from1331				dot.get_center()+RIGHT*buf*np.cos(angle)+DOWN*buf*np.sin(angle),1332				#to1333				dot.get_center()+RIGHT*buf*np.cos(angle)+DOWN*buf*np.sin(angle)+RIGHT*leng*np.cos(angle)+DOWN*leng*np.sin(angle)1334				)1335			green=Dot(color=GREEN)1336			green.scale(2)1337			green.move_to(dot.get_center()+RIGHT*buf*np.cos(angle)+DOWN*buf*np.sin(angle)+RIGHT*leng*np.cos(angle)+DOWN*leng*np.sin(angle)+RIGHT*buf*np.cos(angle)+DOWN*buf*np.sin(angle))1338			lines.append(down_line)1339			self.play(ShowCreation(green),ShowCreation(down_line))1340			return green13411342		an=PI/81343		l=1.413441345		rop1_u=branchup(rop1,an,l)1346		rop1_m=branchmid(rop1,0,np.cos(an)*l)1347		rop1_d=branchdown(rop1,an,l)13481349		gop1_u=branchup(gop1,an,l)1350		gop1_m=branchmid(gop1,0,np.cos(an)*l)1351		gop1_d=branchdown(gop1,an,l)13521353		bop1_u=branchup(bop1,an,l)1354		bop1_m=branchmid(bop1,0,np.cos(an)*l)1355		bop1_d=branchdown(bop1,an,l)13561357		self.wait(3)13581359		def branchup(dot,angle,leng):1360			buf=0.151361			up_line=Line(1362				#from1363				dot.get_center()+RIGHT*buf*np.cos(angle)+UP*buf*np.sin(angle),1364				#to1365				dot.get_center()+RIGHT*buf*np.cos(angle)+UP*buf*np.sin(angle)+RIGHT*leng*np.cos(angle)+UP*leng*np.sin(angle)1366				)1367			red=Dot(color=RED)1368			red.scale(1)1369			red.move_to(dot.get_center()+RIGHT*buf*np.cos(angle)+UP*buf*np.sin(angle)+RIGHT*leng*np.cos(angle)+UP*leng*np.sin(angle)+RIGHT*buf*np.cos(angle)+UP*buf*np.sin(angle))1370			lines.append(up_line)1371			self.play(ShowCreation(red),ShowCreation(up_line))1372			return red13731374		def branchdown(dot,angle,leng):1375			buf=0.151376			down_line=Line(1377				#from1378				dot.get_center()+RIGHT*buf*np.cos(angle)+DOWN*buf*np.sin(angle),1379				#to1380				dot.get_center()+RIGHT*buf*np.cos(angle)+DOWN*buf*np.sin(angle)+RIGHT*leng*np.cos(angle)+DOWN*leng*np.sin(angle)1381				)1382			blue=Dot(color=BLUE)1383			blue.scale(1)1384			blue.move_to(dot.get_center()+RIGHT*buf*np.cos(angle)+DOWN*buf*np.sin(angle)+RIGHT*leng*np.cos(angle)+DOWN*leng*np.sin(angle)+RIGHT*buf*np.cos(angle)+DOWN*buf*np.sin(angle))1385			lines.append(down_line)1386			self.play(ShowCreation(blue),ShowCreation(down_line))1387			return blue13881389		def branchmid(dot,angle,leng):1390			buf=0.151391			down_line=Line(1392				#from1393				dot.get_center()+RIGHT*buf*np.cos(angle)+DOWN*buf*np.sin(angle),1394				#to1395				dot.get_center()+RIGHT*buf*np.cos(angle)+DOWN*buf*np.sin(angle)+RIGHT*leng*np.cos(angle)+DOWN*leng*np.sin(angle)1396				)1397			green=Dot(color=GREEN)1398			green.scale(1)1399			green.move_to(dot.get_center()+RIGHT*buf*np.cos(angle)+DOWN*buf*np.sin(angle)+RIGHT*leng*np.cos(angle)+DOWN*leng*np.sin(angle)+RIGHT*buf*np.cos(angle)+DOWN*buf*np.sin(angle))1400			lines.append(down_line)1401			self.play(ShowCreation(green),ShowCreation(down_line))1402			return green14031404		an=PI/181405		l=114061407		rop1_u_u=branchup(rop1_u,an,l)1408		rop1_u_m=branchmid(rop1_u,0,np.cos(an)*l)1409		rop1_u_d=branchdown(rop1_u,an,l)14101411		rop1_m_u=branchup(rop1_m,an,l)1412		rop1_m_m=branchmid(rop1_m,0,np.cos(an)*l)1413		rop1_m_d=branchdown(rop1_m,an,l)14141415		rop1_d_u=branchup(rop1_d,an,l)1416		rop1_d_m=branchmid(rop1_d,0,np.cos(an)*l)1417		rop1_d_d=branchdown(rop1_d,an,l)141814191420		gop1_u_u=branchup(gop1_u,an,l)1421		gop1_u_m=branchmid(gop1_u,0,np.cos(an)*l)1422		gop1_u_d=branchdown(gop1_u,an,l)14231424		gop1_m_u=branchup(gop1_m,an,l)1425		gop1_m_m=branchmid(gop1_m,0,np.cos(an)*l)1426		gop1_m_d=branchdown(gop1_m,an,l)14271428		gop1_d_u=branchup(gop1_d,an,l)1429		gop1_d_m=branchmid(gop1_d,0,np.cos(an)*l)1430		gop1_d_d=branchdown(gop1_d,an,l)143114321433		bop1_u_u=branchup(bop1_u,an,l)1434		bop1_u_m=branchmid(bop1_u,0,np.cos(an)*l)1435		bop1_u_d=branchdown(bop1_u,an,l)14361437		bop1_m_u=branchup(bop1_m,an,l)1438		bop1_m_m=branchmid(bop1_m,0,np.cos(an)*l)1439		bop1_m_d=branchdown(bop1_m,an,l)14401441		bop1_d_u=branchup(bop1_d,an,l)1442		bop1_d_m=branchmid(bop1_d,0,np.cos(an)*l)1443		bop1_d_d=branchdown(bop1_d,an,l)14441445		self.wait(3)14461447		self.play(ShowCreation(sep1))1448		self.wait()1449		th1=TextMobject("3")1450		th1.scale(1.7)1451		th1.next_to(box1,DOWN,0.2)1452		self.play(ShowCreation(th1))14531454		self.wait(2)14551456		sep2_pos=VGroup(rop1_u,bop1_d)1457		sep2.move_to(sep2_pos.get_center())1458		self.play(ShowCreation(sep2))1459		self.wait()1460		th2=TextMobject("3")1461		th2.scale(1.7)1462		th2.next_to(box2,DOWN,0.2)1463		times2=TextMobject("$$\\times$$")1464		f_g4=VGroup(th1,th2)1465		times2.move_to(f_g4.get_center())14661467		self.play(ShowCreation(th2),ShowCreation(times2))14681469		self.wait(2)14701471		sep3_pos=VGroup(rop1_u_u,bop1_d_d)1472		sep3.move_to(sep3_pos.get_center())1473		self.play(ShowCreation(sep3))1474		self.wait()1475		th3=TextMobject("3")1476		th3.scale(1.7)1477		th3.next_to(box3,DOWN,0.2)1478		times3=TextMobject("$$\\times$$")1479		f_g5=VGroup(th2,th3)1480		times3.move_to(f_g5.get_center())1481		self.play(ShowCreation(th3),ShowCreation(times3))14821483		self.wait(3)14841485		th_cu=TextMobject("$$3^{3}$$")1486		th_cu.scale(1.7)14871488		th_cu.next_to(box2,DOWN,0.6)14891490		threes_plus=VGroup(th1,th2,th3,times3,times2)14911492		self.play(Transform(threes_plus,th_cu))14931494		self.wait(4)149514961497#python -m manim MITintegral\Fermat\fermatscenes.py IntroClips -pl1498class IntroClips(Scene):1499	def construct(self):1500		fermat=TextMobject("Fermat's")1501		fermat.scale(1.6)1502		little=TextMobject("little")1503		little.scale(1.2)1504		little.set_color(BLUE)1505		theorem=TextMobject("theorem")1506		theorem.scale(1.6)1507		fermat.next_to(little,LEFT,0.5)1508		theorem.next_to(little,RIGHT,0.5)15091510		title=VGroup(fermat,little,theorem)1511		title.move_to(ORIGIN)15121513		self.play(Write(title))15141515		self.wait(4)15161517		self.play(FadeOut(title))15181519		a=TextMobject("$$a$$")1520		po=TextMobject("$$p$$")1521		a.scale(2)1522		po.scale(2)15231524		pers.sep_exp(a,po)1525		po.set_color(BLUE)15261527		th1=VGroup(a,po)15281529		min_a=TextMobject("$$-a$$")1530		min_a.scale(2)1531		min_a.next_to(th1,RIGHT,0.1)1532		min_a.align_to(th1,DOWN)15331534		th=VGroup(th1,min_a)15351536		bar=Line(ORIGIN,RIGHT*(0.2+th.get_width()),stroke_width=3)15371538		bar.next_to(th,DOWN,0.13)15391540		p=TextMobject("$$p$$")1541		p.set_color(BLUE)15421543		p.scale(2)15441545		p.next_to(bar,DOWN,0.13)15461547		whole=VGroup(th,bar,p)15481549		whole.move_to(ORIGIN)15501551		po.scale(2)15521553		self.play(Write(po))1554		self.wait()1555		self.play(ApplyMethod(po.scale,0.5))15561557		self.play(Write(a))15581559		self.wait(2)15601561		self.play(Write(min_a))15621563		self.wait()15641565		self.play(ShowCreation(bar))15661567		self.play(Write(p))15681569		self.wait(3)15701571		self.play(FadeOut(whole))15721573		self.wait(2)15741575#The following scene represents how I can call on a personal method from the 1576#file: my_methods.py, located in manimlib. NOTE: since the method I am using1577#uses a "self.play" in the function, it must be passed self (and the method must1578#be written to accept self). 15791580#python -m manim MITintegral\Fermat\fermatscenes.py Calling_Method -pl1581class Calling_Method(Scene):1582	def construct(self):1583		seven=TextMobject("7")1584		pers.print_col(self,seven)15851586		self.wait(2)15871588#python -m manim MITintegral\Fermat\fermatscenes.py test -pl1589class test(Scene):1590	def construct(self):15911592		th=TextMobject("$$3$$")1593		five=TextMobject("$$5$$")15941595		whole=VGroup(th,five)15961597		whole.scale(3)159815991600		pers.sep_exp(th,five)16011602		self.play(Write(th),Write(five))16031604		self.wait(2)16051606		five.set_color(BLUE)16071608		self.wait(3)16091610#python -m manim MITintegral\Fermat\fermatscenes.py ProbCont -pl1611class ProbCont(Scene):1612	def construct(self):1613		base=TextMobject("$$\#\mbox{ colors}$$")1614		exp=TextMobject("$$\#\mbox{ boxes}$$")1615		min_a=TextMobject("$$-a$$")1616		exp.set_color(BLUE)1617		base.scale(2)1618		exp.scale(2)16191620		pers.sep_exp(base,exp)16211622		state=VGroup(base,exp)16231624		self.play(Write(state))16251626		self.wait(2)16271628		a=TextMobject("$$a$$")1629		a.move_to(base.get_center())1630		a.scale(2)1631		self.play(Transform(base,a))16321633		p=TextMobject("$$p$$")1634		p.scale(2)1635		p.set_color(BLUE)16361637		pers.sep_exp(a,p)16381639		self.wait(2)16401641		self.play(Transform(exp,p))16421643		self.wait(3)16441645		f_g=VGroup(a,p)16461647		min_a.scale(2)16481649		min_a.next_to(f_g,RIGHT,0.1)16501651		min_a.align_to(f_g,DOWN)16521653		self.play(Write(min_a))16541655		self.wait(2)16561657		noth=TextMobject("")16581659		all_=VGroup(min_a,base,exp)16601661		self.play(Transform(all_,noth))16621663		self.wait()16641665#python -m manim MITintegral\Fermat\fermatscenes.py NoahIntro -pl1666class NoahIntro(MovingCameraScene):1667	def setup(self):1668		MovingCameraScene.setup(self)1669	def construct(self):1670		treble=SVGMobject("treble_svg",fill_color=BLUE,fill_opacity=0,stroke_width=3,stroke_color=YELLOW)1671		treble.scale(3)1672		noah=TextMobject("\\textit{NOAH FORBES}",fill_color=WHITE,stroke_width=4,stroke_color=BLUE,fill_opacity=1)1673		#noah.set_color(BLUE)1674		noah.shift(DOWN)16751676		music=TextMobject("MUSIC",fill_color=WHITE,stroke_width=2,stroke_color=BLUE)1677		music.scale(2)1678		notes=TextMobject("NOTES",fill_color=WHITE,stroke_width=2,stroke_color=BLUE)1679		notes.scale(2)1680		with_=TextMobject("WITH",fill_color=WHITE,stroke_width=2,stroke_color=BLUE)1681		with_.shift(UP*0.8)1682		with_.scale(1.5)16831684		music.move_to(UP*2+LEFT*3.4)1685		notes.move_to(UP*2+RIGHT*3.4)16861687		self.bring_to_back(treble)1688		self.remove(treble)16891690		self.wait(2)16911692		self.play(Write(music))1693		self.wait()1694		self.play(Write(notes))1695		self.wait()1696		self.play(Write(with_))1697		self.add_foreground_mobjects(with_)1698		self.wait()16991700		noah.scale(3.7)1701		self.wait()1702		self.play(ShowCreation(treble))1703		self.wait()1704		self.play(Write(noah))1705		self.wait(2)17061707		self.play(1708			ApplyMethod(self.camera_frame.scale,0.006)1709			)17101711		self.wait()17121713#python -m manim MITintegral\Fermat\fermatscenes.py PrimeShifts -pl1714class PrimeShifts(Scene):1715	def construct(self):1716		r1=Dot(color=RED)1717		b1=Dot(color=BLUE)1718		r2=Dot(color=RED)17191720		dots=VGroup(r1,b1,r2)17211722		dots.scale(2)17231724		r1.next_to(b1,LEFT)1725		r2.next_to(b1,RIGHT)17261727		self.play(ShowCreation(dots))17281729		self.wait()17301731#python -m manim MITintegral\Fermat\fermatscenes.py PieceTogether -pl1732class PieceTogether(MovingCameraScene):1733	def setup(self):1734		MovingCameraScene.setup(self)1735	def construct(self):17361737		arr_sc=2.517381739		self.camera_frame.scale(1.5)17401741		r_dot=Dot(color=RED)1742		b_dot=Dot(color=BLUE)1743		b2_dot=Dot(color=BLUE)17441745		scale=417461747		r_dot.scale(scale)1748		b_dot.scale(scale)1749		b2_dot.scale(scale)17501751		r_dot.next_to(b_dot,LEFT,1)1752		b2_dot.next_to(b_dot,RIGHT,1)17531754		dots=VGroup(r_dot,b_dot,b2_dot)17551756		self.play(ShowCreation(dots))17571758		self.wait(2)17591760		self.play(ApplyMethod(dots.move_to,LEFT*7.5+UP*2))17611762		r_dot2=Dot(color=RED)1763		r2_dot2=Dot(color=RED)1764		b_dot2=Dot(color=BLUE)17651766		r_dot2.scale(scale)1767		r2_dot2.scale(scale)1768		b_dot2.scale(scale)17691770		r_dot2.next_to(r2_dot2,LEFT,1)1771		b_dot2.next_to(r2_dot2,RIGHT,1)17721773		_dots=VGroup(r_dot2,r2_dot2,b_dot2)17741775		_dots.move_to(LEFT*7.5+DOWN*2)17761777		self.play(ShowCreation(_dots))17781779		self.wait(2)17801781		r_dot_u2=Dot(color=BLUE)1782		b_dot_u2=Dot(color=RED)1783		b2_dot_u2=Dot(color=BLUE)17841785		scale=417861787		r_dot_u2.scale(scale)1788		b_dot_u2.scale(scale)1789		b2_dot_u2.scale(scale)17901791		r_dot_u2.next_to(b_dot_u2,LEFT,1)1792		b2_dot_u2.next_to(b_dot_u2,RIGHT,1)17931794		dots_u2=VGroup(r_dot_u2,b_dot_u2,b2_dot_u2)17951796		dots_u2.shift(UP*2)17971798		arr_u1=TextMobject("$$\\rightarrow$$")1799		arr_u1.scale(arr_sc)1800		u_f_g=VGroup(dots,dots_u2)1801		arr_u1.move_to(u_f_g.get_center())18021803		self.play(ShowCreation(arr_u1))18041805		self.play(ShowCreation(dots_u2))18061807		self.wait()18081809		r_dot2_d2=Dot(color=BLUE)1810		r2_dot2_d2=Dot(color=RED)1811		b_dot2_d2=Dot(color=RED)18121813		r_dot2_d2.scale(scale)1814		r2_dot2_d2.scale(scale)1815		b_dot2_d2.scale(scale)18161817		r_dot2_d2.next_to(r2_dot2_d2,LEFT,1)1818		b_dot2_d2.next_to(r2_dot2_d2,RIGHT,1)18191820		_dots_d2=VGroup(r_dot2_d2,r2_dot2_d2,b_dot2_d2)18211822		_dots_d2.move_to(DOWN*2)18231824		arr_d1=TextMobject("$$\\rightarrow$$")1825		arr_d1.scale(arr_sc)1826		d_f_g=VGroup(_dots,_dots_d2)1827		arr_d1.move_to(d_f_g.get_center())18281829		self.play(ShowCreation(arr_d1))18301831		self.play(ShowCreation(_dots_d2))18321833		self.wait(2)18341835		r_dot_u3=Dot(color=BLUE)1836		b_dot_u3=Dot(color=BLUE)1837		b2_dot_u3=Dot(color=RED)18381839		scale=418401841		r_dot_u3.scale(scale)1842		b_dot_u3.scale(scale)1843		b2_dot_u3.scale(scale)18441845		r_dot_u3.next_to(b_dot_u3,LEFT,1)1846		b2_dot_u3.next_to(b_dot_u3,RIGHT,1)18471848		dots_u3=VGroup(r_dot_u3,b_dot_u3,b2_dot_u3)18491850		dots_u3.shift(UP*2+RIGHT*(ORIGIN-(dots.get_center()+DOWN*2)))18511852		arr_u2=TextMobject("$$\\rightarrow$$")1853		arr_u2.scale(arr_sc)1854		u_f_g=VGroup(dots_u2,dots_u3)1855		arr_u2.move_to(u_f_g.get_center())18561857		self.play(ShowCreation(arr_u2))18581859		self.play(ShowCreation(dots_u3))18601861		self.wait()18621863		r_dot2_d3=Dot(color=RED)1864		r2_dot2_d3=Dot(color=BLUE)1865		b_dot2_d3=Dot(color=RED)18661867		r_dot2_d3.scale(scale)1868		r2_dot2_d3.scale(scale)1869		b_dot2_d3.scale(scale)18701871		r_dot2_d3.next_to(r2_dot2_d3,LEFT,1)1872		b_dot2_d3.next_to(r2_dot2_d3,RIGHT,1)18731874		_dots_d3=VGroup(r_dot2_d3,r2_dot2_d3,b_dot2_d3)18751876		_dots_d3.move_to(DOWN*2+RIGHT*(ORIGIN-(dots.get_center()+DOWN*2)))18771878		arr_d2=TextMobject("$$\\rightarrow$$")1879		arr_d2.scale(arr_sc)1880		d_f_g=VGroup(_dots_d2,_dots_d3)1881		arr_d2.move_to(d_f_g.get_center())18821883		self.play(ShowCreation(arr_d2))18841885		self.play(ShowCreation(_dots_d3))18861887		self.wait(3)18881889		buff=0.3518901891		f_g=VGroup(dots,_dots)1892		box1=Rectangle(width=dots.get_width()+buff,height=f_g.get_height()+buff,color=BLUE)1893		box1.move_to(f_g.get_center())18941895		box2=Rectangle(width=dots.get_width()+buff,height=f_g.get_height()+buff,color=BLUE)1896		box2.move_to(ORIGIN)18971898		box3=Rectangle(width=dots.get_width()+buff,height=f_g.get_height()+buff,color=BLUE)1899		box3.move_to(RIGHT*(ORIGIN-f_g.get_center()))19001901		self.play(ShowCreation(box1))1902		self.play(ShowCreation(box2))1903		self.play(ShowCreation(box3))19041905		self.wait(3)19061907		self.play(FadeOut(box1),FadeOut(box2),FadeOut(box3))19081909		exr1=Dot(color=RED)1910		exr2=Dot(color=RED)1911		exr3=Dot(color=RED)19121913		exb1=Dot(color=BLUE)1914		exb2=Dot(color=BLUE)1915		exb3=Dot(color=BLUE)19161917		exr1.scale(scale)1918		exr2.scale(scale)1919		exr3.scale(scale)1920		exb1.scale(scale)1921		exb2.scale(scale)1922		exb3.scale(scale)19231924		exr1.next_to(exr2,LEFT,1)1925		exr3.next_to(exr2,RIGHT,1)19261927		exb1.next_to(exb2,LEFT,1)1928		exb3.next_to(exb2,RIGHT,1)19291930		exr=VGroup(exr1,exr2,exr3)1931		exb=VGroup(exb1,exb2,exb3)19321933		exr.shift(LEFT*4+DOWN*4)19341935		exb.shift(RIGHT*4+DOWN*4)19361937		self.play(ShowCreation(exr),ShowCreation(exb))19381939		self.wait(2)19401941		self.play(FadeOut(exr),FadeOut(exb))19421943		self.wait(3)19441945		a=TextMobject("$$a$$")1946		a.scale(3)19471948		p=TextMobject("$$p$$",color=BLUE)1949		p.scale(3)19501951		pers.sep_exp(a,p)19521953		ap=VGroup(a,p)1954		min_a=TextMobject("$$-a$$")1955		min_a.scale(3)1956		min_a.next_to(ap,RIGHT,0.1)1957		min_a.align_to(ap,DOWN)19581959		exp=VGroup(a,p,min_a)19601961		exp.move_to(ORIGIN)19621963		self.play(Write(ap))1964		self.wait()1965		self.play(Write(min_a))19661967		self.wait(3)19681969#python -m manim MITintegral\Fermat\fermatscenes.py IssueFour -pl1970class IssueFour(MovingCameraScene):1971	def setup(self):1972		MovingCameraScene.setup(self)1973	def construct(self):19741975		set1=pers.construct_dots("r","r","b","b",0,0)19761977		self.play(ShowCreation(set1))19781979		self.wait(2)19801981		self.play(ApplyMethod(set1.scale,0.5))19821983		self.play(ApplyMethod(set1.move_to,LEFT*5+UP*2))19841985		self.wait(2)19861987		set2=pers.construct_dots("r","b","r","b",0,0)1988		set2.scale(0.5)1989		set2.move_to(LEFT*5+UP*1.33333*0.5)19901991		set3=pers.construct_dots("r","r","r","b",0,0)1992		set3.scale(0.5)1993		set3.move_to(LEFT*5+DOWN*1.3333*0.5)19941995		set4=pers.construct_dots("b","b","b","r",0,0)1996		set4.scale(0.5)1997		set4.move_to(LEFT*5+DOWN*2)19981999		self.play(ShowCreation(set2))2000		self.play(ShowCreation(set3))2001		self.play(ShowCreation(set4))20022003		self.wait(3)20042005		####2006		#Row120072008		set11=pers.construct_dots("b","r","r","b",0,0)2009		set11.move_to(UP*2)2010		set11.scale(0.5)20112012		arr1=pers.arrow_maker(set1,set11,WHITE)20132014		self.play(ShowCreation(arr1))2015		self.play(ShowCreation(set11))20162017		self.wait(2)20182019		elli=TextMobject("...")2020		elli.scale(4)2021		elli.move_to(RIGHT*5+UP*2)20222023		arr11=pers.arrow_maker(set11,elli,WHITE)2024		arr11.shift(RIGHT*0.8)20252026		self.play(ShowCreation(arr11))2027		self.play(ShowCreation(elli))20282029		self.wait(3)20302031		#####2032		#Row 320332034		set31=pers.construct_dots("b","r","r","r",0,0)2035		set31.scale(0.5)2036		set31.move_to(DOWN*0.5*1.3333)2037		arr3=pers.arrow_maker(set3,set31,WHITE)20382039		self.play(ShowCreation(arr3))2040		self.play(ShowCreation(set31))20412042		self.wait()20432044		elli3=TextMobject("...")2045		elli3.scale(4)2046		elli3.move_to(RIGHT*5+DOWN*0.5*1.3333)20472048		arr31=pers.arrow_maker(set31,elli3,WHITE)2049		arr31.shift(RIGHT*0.8)20502051		self.play(ShowCreation(arr31))2052		self.play(ShowCreation(elli3))20532054		#####2055		#Row 420562057		set41=pers.construct_dots("r","b","b","b",0,0)2058		set41.scale(0.5)2059		set41.move_to(DOWN*2)2060		arr4=pers.arrow_maker(set4,set41,WHITE)20612062		self.play(ShowCreation(arr4))2063		self.play(ShowCreation(set41))20642065		self.wait()20662067		elli4=TextMobject("...")2068		elli4.scale(4)2069		elli4.move_to(RIGHT*5+DOWN*2)20702071		arr41=pers.arrow_maker(set41,elli4,WHITE)2072		arr41.shift(RIGHT*0.8)20732074		self.play(ShowCreation(arr41))2075		self.play(ShowCreation(elli4))20762077		self.wait(3)20782079		set21=pers.construct_dots("b","r","b","r",0,0)2080		set21.scale(0.5)2081		set21.move_to(UP*0.5*1.33333)20822083		arr2=pers.arrow_maker(set2,set21,WHITE)20842085		self.play(ShowCreation(arr2))2086		self.play(ShowCreation(set21))20872088		self.wait(3)20892090		buff=0.352091		col1=VGroup(set1,set4)2092		box1=Rectangle(width=col1.get_width()+buff,height=col1.get_height()+buff,color=BLUE)2093		box1.move_to(col1.get_center())20942095		box2=Rectangle(width=col1.get_width()+buff,height=col1.get_height()+buff,color=BLUE)20962097		box3=Rectangle(width=elli.get_width()+buff,height=elli.get_height()+buff,color=BLUE)2098		box3.move_to(elli.get_center())20992100		ellis=VGroup(elli3,elli4)2101		box4=Rectangle(width=ellis.get_width()+buff,height=ellis.get_height()+buff,color=BLUE)2102		box4.move_to(ellis.get_center())21032104		self.play(ShowCreation(box1))2105		self.play(ShowCreation(box2))21062107		self.wait(2)21082109		self.play(ShowCreation(box3),ShowCreation(box4))2110		2111		self.wait(3)21122113		self.play(2114			FadeOut(box1),2115			FadeOut(box2),2116			FadeOut(box3),2117			FadeOut(box4)2118			)21192120		self.play(2121			ApplyMethod(set1.shift,UP),2122			ApplyMethod(set2.shift,UP),2123			ApplyMethod(set3.shift,DOWN),2124			ApplyMethod(set4.shift,DOWN),21252126			ApplyMethod(set11.shift,UP),2127			ApplyMethod(set21.shift,UP),2128			ApplyMethod(set31.shift,DOWN),2129			ApplyMethod(set41.shift,DOWN),21302131			ApplyMethod(arr1.shift,UP),2132			ApplyMethod(arr2.shift,UP),2133			ApplyMethod(arr3.shift,DOWN),2134			ApplyMethod(arr4.shift,DOWN),21352136			ApplyMethod(arr11.shift,UP),2137			ApplyMethod(arr31.shift,DOWN),2138			ApplyMethod(arr41.shift,DOWN),21392140			ApplyMethod(elli.shift,UP),2141			ApplyMethod(elli3.shift,DOWN),2142			ApplyMethod(elli4.shift,DOWN)21432144			)21452146		self.wait()21472148		a=TextMobject("$$a$$")2149		a.scale(3)21502151		p=TextMobject("$$p$$",color=BLUE)2152		p.scale(3)21532154		pers.sep_exp(a,p)21552156		ap=VGroup(a,p)2157		min_a=TextMobject("$$-a$$")2158		min_a.scale(3)2159		min_a.next_to(ap,RIGHT,0.1)2160		min_a.align_to(ap,DOWN)21612162		exp=VGroup(a,p,min_a)21632164		exp.move_to(ORIGIN)21652166		self.play(Write(ap))2167		self.wait()2168		self.play(Write(min_a))21692170		self.wait(3)21712172#python -m manim MITintegral\Fermat\fermatscenes.py Primes -pl2173class Primes(MovingCameraScene):2174	def setup(self):2175		MovingCameraScene.setup(self)2176	def construct(self):2177		a=TextMobject("$$2,$$")2178		b=TextMobject("$$3,$$")2179		c=TextMobject("$$5,$$")2180		d=TextMobject("$$7,$$")2181		e=TextMobject("$$11,$$")2182		f=TextMobject("$$13,$$")2183		g=TextMobject("$$17,$$")2184		h=TextMobject("$$...$$")21852186		scale=22187		a.scale(2)2188		b.scale(2)2189		c.scale(2)2190		d.scale(2)2191		e.scale(2)2192		f.scale(2)2193		g.scale(2)2194		h.scale(2)21952196		buff=0.421972198		b.next_to(a,RIGHT,buff)2199		c.next_to(b,RIGHT,buff)2200		d.next_to(c,RIGHT,buff)2201		e.next_to(d,RIGHT,buff)2202		f.next_to(e,RIGHT,buff)2203		g.next_to(f,RIGHT,buff)2204		h.next_to(g,RIGHT,buff)22052206		group=VGroup(a,b,c,d,e,f,g,h)22072208		group.move_to(ORIGIN)22092210		self.play(Write(a))2211		self.play(Write(b))2212		self.play(Write(c))2213		self.play(Write(d))2214		self.play(Write(e))2215		self.play(Write(f))2216		self.play(Write(g))2217		self.play(Write(h))22182219		self.wait(2)22202221		i=TextMobject("$$+1$$")2222		j=TextMobject("$$+2$$")2223		k=TextMobject("$$+2$$")2224		l=TextMobject("$$+4$$")2225		m=TextMobject("$$+2$$")2226		n=TextMobject("$$+4$$")22272228		i.scale(scale)2229		j.scale(scale)2230		k.scale(scale)2231		l.scale(scale)2232		m.scale(scale)2233		n.scale(scale)22342235		buf=0.322362237		i.next_to(a,UP,buf)2238		j.next_to(b,UP,buf)2239		k.next_to(c,UP,buf)2240		l.next_to(d,UP,buf)2241		m.next_to(e,UP,buf)2242		n.next_to(f,UP,buf)22432244		adds=VGroup(i,j,k,l,m,n)22452246		adds.shift(RIGHT*0.15)22472248		self.play(ShowCreation(i))22492250		self.play(Transform(i,j))2251		self.play(Transform(i,k))2252		adds.shift(RIGHT*0.1)2253		self.play(Transform(i,l))2254		self.play(Transform(i,m))2255		self.play(Transform(i,n))22562257		self.wait(3)22582259#python -m manim MITintegral\Fermat\fermatscenes.py Test -pl2260class Test(Scene):2261	def construct(self):2262		dot=Dot()2263		dot.move_to(RIGHT+UP)2264		grace=0.12265		if pers.abs(dot.get_center())<(np.sqrt(2)+grace) and pers.abs(dot.get_center())>(np.sqrt(2)-grace):2266			self.play(ShowCreation(dot))2267
...

Jigsaw.py

Source:Jigsaw.py

...15        self.play(ReplacementTransform(title, title_02), run_time=1.)16        self.wait(0.4)17        A, B, C, D = Dot(UP * 1.6 + RIGHT * 0.8), Dot(UP * 1. + RIGHT * 2.), Dot(RIGHT * 2.7), Dot(DOWN * 0.8)18        ABCD = VGroup(A, B, C, D).to_corner(DOWN * 2.4 + LEFT * 1.8).set_fill(opacity=0)19        quadrilateral = Polygon(A.get_center(), B.get_center(), C.get_center(), D.get_center())\20            .add_updater(lambda p: p.become(Polygon(A.get_center(), B.get_center(), C.get_center(), D.get_center(),21                                       color=BLUE, fill_color=BLUE, fill_opacity=1.0)))22        self.play(TransformFromCopy(t4a_1[1:], quadrilateral), FadeIn(ABCD), run_time=1)23        self.wait(0.2)24        self.play(A.shift, UP * 0.5, B.shift, UR * 0.3, rate_func=there_and_back, run_time=0.7)25        self.wait(0.1)26        circle = Circle().move_to(D).rotate(PI).shift(RIGHT)27        self.play(MoveAlongPath(D, circle), run_time=0.75)28        arrow = Arrow(ORIGIN, RIGHT * 5, color=ORANGE, buff=0).next_to(quadrilateral, RIGHT * 1.6)29        parallelogram = Polygon(RIGHT + UP * 2, RIGHT * 3.5 + UP * 2, RIGHT * 2.5, ORIGIN,30                                color=BLUE, fill_color=BLUE, fill_opacity=1.0).next_to(arrow, RIGHT * 1.2)31        arrow.shift(DOWN * 0.8)32        text = Text('åä¸¤åï¼éæ°æ¼æ¥', font='ææºé»ä½ Bold', size=0.36).move_to(arrow).shift(UP * 0.4)33        E = self.get_point_on_line(A, B, 0.3)34        F = self.get_point_on_line(B, C, 0.35)35        G = self.get_point_on_line(C, D, 0.3)36        H = self.get_point_on_line(D, A, 0.6)37        I = self.intersection(E, G, F, H)38        cut_line_01 = Line(E, G, color=YELLOW).scale(2)39        cut_line_02 = Line(H, F, color=YELLOW).scale(2)40        poly_1 = Polygon(A.get_center(), E.get_center(), I.get_center(), H.get_center(), color=BLUE, fill_color=BLUE, fill_opacity=1.0)41        poly_2 = Polygon(E.get_center(), B.get_center(), F.get_center(), I.get_center(), color=BLUE, fill_color=BLUE, fill_opacity=1.0)42        poly_3 = Polygon(H.get_center(), I.get_center(), G.get_center(), D.get_center(), color=BLUE, fill_color=BLUE, fill_opacity=1.0)43        poly_4 = Polygon(I.get_center(), F.get_center(), C.get_center(), G.get_center(), color=BLUE, fill_color=BLUE, fill_opacity=1.0)44        fragments = VGroup(poly_1, poly_2, poly_3, poly_4)45        fragments_02 = fragments.copy().arrange(RIGHT * 0.35).scale(0.95).next_to(text, UP)46        self.play(ShowCreation(arrow), run_time=1)47        t4a = self.ShiftInOneByOne_new(text, shift_vect=DOWN * 0.8, run_speed=0.2)48        self.play(ShowCreationThenDestruction(cut_line_01), ShowCreationThenDestruction(cut_line_02), run_time=0.72)49        # self.add(cut_line_01, cut_line_02)50        self.play(TransformFromCopy(fragments, fragments_02), run_time=1)51        self.wait(0.2)52        self.play(TransformFromCopy(fragments_02, parallelogram), run_time=1)53        self.play(FadeOutRandom(title_02[0]), FadeOutRandom(title_02[1]), FadeOutRandom(title_02[2]), run_time=1.2)54        text_how = Text('å¦ä½åï¼å¦ä½æ¼ï¼', font='ææºé»ä½ Bold', size=1.2).to_corner(UP * 2.4 + LEFT * 2)55        self.ShiftInOneByOne_new(text_how, run_speed=0.3, wait_time=0.1)56        # self.play(WiggleOutThenIn(t4a_how), run_time=0.9)57        self.Countdown_anim()58        self.wait(2)59    def get_point_on_line(self, P1, P2, t=0.5, **kwargs):60        try:61            return Dot(P1.get_center() + t * (P2.get_center() - P1.get_center()), **kwargs)62        except:63            return Dot(P1 + t * (P2 - P1), **kwargs)64    def intersection(self, P1, P2, P3, P4, **kwargs):65        try:66            return Dot(line_intersection([P1.get_center(), P2.get_center()], [P3.get_center(), P4.get_center()]), **kwargs)67        except:68            return Dot(line_intersection([P1, P2], [P3, P4]), **kwargs)69    def Countdown_anim(self, time=5):70        num = VGroup(*[Text(str(i), font='ææºé»ä½ Bold', color=GREEN).set_height(1.2) for i in range(time, 0, -1)]).to_corner(RIGHT * 1.25 + UP * 1.25, buff=1)71        circle = Circle(radius=1).move_to(num).set_stroke(GREEN, 16)72        for i in range(time):73            self.add(num[i])74            self.play(WiggleOutThenIn(num[i]), ShowCreationThenDestruction(circle), run_time=1)75            self.remove(num[i])76class Intro(Text4animScene):77    def construct(self):78        t2c = {'ä»»æåè¾¹å½¢': BLUE, 'åä¸¤å': ORANGE, 'å¹³è¡åè¾¹å½¢': PINK}79        text_01 = Text('å¯¹ä»»æåè¾¹å½¢', font='ææºé»ä½ Bold', size=1).to_corner(LEFT * 2 + UP * 3.5)80        text_02 = Text('å¦ä½è½å¨åä¸¤åä¹å', font='ææºé»ä½ Bold', size=1).next_to(text_01, DOWN * 1.8, aligned_edge=LEFT)81        text_03 = Text('å°ç¢çéæ°æ¼æå¹³è¡åè¾¹å½¢', font='ææºé»ä½ Bold', size=1).next_to(text_02, DOWN * 1.8, aligned_edge=LEFT)82        text_01.set_color_by_t2c(t2c), text_02.set_color_by_t2c(t2c), text_03.set_color_by_t2c(t2c)83        t4a_1 = self.ShiftInOneByOne_new(text_01, run_speed=0.3, wait_time=0.0)84        t4a_2 = self.ShiftInOneByOne_new(text_02, run_speed=0.26, wait_time=0.0)85        t4a_3 = self.ShiftInOneByOne_new(text_03, run_speed=0.23, wait_time=0.9)86        title = VGroup(t4a_1, t4a_2, t4a_3)87        title_02 = title.copy().scale(0.6).to_corner(LEFT * 1.5 + UP * 1.5)88        self.play(ReplacementTransform(title, title_02), run_time=0.8)89        self.wait(0.4)90        A, B, C, D = Dot(UP * 1.6 + RIGHT * 0.8), Dot(UP * 1. + RIGHT * 2.), Dot(RIGHT * 2.7), Dot(DOWN * 0.8)91        ABCD = VGroup(A, B, C, D).to_corner(DOWN * 3.2 + LEFT * 1.8).set_fill(opacity=0)92        quadrilateral = Polygon(A.get_center(), B.get_center(), C.get_center(), D.get_center())\93            .add_updater(lambda p: p.become(Polygon(A.get_center(), B.get_center(), C.get_center(), D.get_center(),94                                       stroke_color=WHITE, stroke_width=4, fill_color=BLUE, fill_opacity=1.0)))95        self.play(TransformFromCopy(t4a_1[1:], quadrilateral), FadeIn(ABCD), run_time=0.8)96        self.wait(0.1)97        # self.play(A.shift, UP * 0.5, B.shift, UR * 0.3, rate_func=there_and_back, run_time=0.7)98        # self.wait(0.1)99        # circle = Circle().move_to(D).rotate(PI).shift(RIGHT)100        # self.play(MoveAlongPath(D, circle), run_time=0.75)101        arrow = Arrow(ORIGIN, RIGHT * 5, color=ORANGE, buff=0).next_to(quadrilateral, RIGHT * 1.6)102        parallelogram = Polygon(RIGHT + UP * 2, RIGHT * 3.5 + UP * 2, RIGHT * 2.5, ORIGIN,103                                stroke_color=WHITE, stroke_width=4, fill_color=BLUE, fill_opacity=1.0).next_to(arrow, RIGHT * 1.25)104        arrow.shift(DOWN * 0.8)105        text = Text('åä¸¤åï¼éæ°æ¼æ¥', font='ææºé»ä½ Bold', size=0.36).move_to(arrow).shift(UP * 0.4)106        E = self.get_point_on_line(A, B, 0.3)107        F = self.get_point_on_line(B, C, 0.35)108        G = self.get_point_on_line(C, D, 0.3)109        H = self.get_point_on_line(D, A, 0.6)110        I = self.intersection(E, G, F, H)111        cut_line_01 = Line(E, G, color=YELLOW).scale(2)112        cut_line_02 = Line(H, F, color=YELLOW).scale(2)113        poly_1 = Polygon(A.get_center(), E.get_center(), I.get_center(), H.get_center(), stroke_color=WHITE, stroke_width=4, fill_color=BLUE, fill_opacity=1.0)114        poly_2 = Polygon(E.get_center(), B.get_center(), F.get_center(), I.get_center(), stroke_color=WHITE, stroke_width=4, fill_color=BLUE, fill_opacity=1.0)115        poly_3 = Polygon(H.get_center(), I.get_center(), G.get_center(), D.get_center(), stroke_color=WHITE, stroke_width=4, fill_color=BLUE, fill_opacity=1.0)116        poly_4 = Polygon(I.get_center(), F.get_center(), C.get_center(), G.get_center(), stroke_color=WHITE, stroke_width=4, fill_color=BLUE, fill_opacity=1.0)117        fragments = VGroup(poly_1, poly_2, poly_3, poly_4)118        fragments_02 = fragments.copy().arrange(RIGHT * 0.35).scale(0.95).next_to(text, UP)119        self.play(ShowCreation(arrow), run_time=1)120        self.wait(0.1)121        self.play(FadeInFrom(text, direction=UP), run_time=0.8)122        self.wait(0.1)123        self.play(ShowCreationThenDestruction(cut_line_01), ShowCreationThenDestruction(cut_line_02), run_time=0.8)124        # self.add(cut_line_01, cut_line_02)125        self.play(TransformFromCopy(fragments, fragments_02), run_time=0.95)126        self.wait(0.1)127        self.play(TransformFromCopy(fragments_02, parallelogram), run_time=0.95)128        self.play(FadeOutRandom(title_02[0]), FadeOutRandom(title_02[1]), FadeOutRandom(title_02[2]), run_time=1.)129        self.wait(0.1)130        text_how = Text('å¦ä½åï¼å¦ä½æ¼ï¼', font='ææºé»ä½ Bold', size=1.2).to_corner(UP * 2.4 + LEFT * 2)131        self.ShiftInOneByOne_new(text_how, run_speed=0.325, wait_time=0.05)132        # self.play(WiggleOutThenIn(t4a_how), run_time=0.9)133        self.Countdown_anim()134        self.wait(2)135    def get_point_on_line(self, P1, P2, t=0.5, **kwargs):136        try:137            return Dot(P1.get_center() + t * (P2.get_center() - P1.get_center()), **kwargs)138        except:139            return Dot(P1 + t * (P2 - P1), **kwargs)140    def intersection(self, P1, P2, P3, P4, **kwargs):141        try:142            return Dot(line_intersection([P1.get_center(), P2.get_center()], [P3.get_center(), P4.get_center()]), **kwargs)143        except:144            return Dot(line_intersection([P1, P2], [P3, P4]), **kwargs)145    def Countdown_anim(self, time=5):146        num = VGroup(*[Text(str(i), font='ææºé»ä½ Bold', color=GREEN).set_height(1.2) for i in range(time, 0, -1)]).to_corner(RIGHT * 1.25 + UP * 1.25, buff=1)147        circle = Circle(radius=1).move_to(num).set_stroke(GREEN, 16)148        for i in range(time):149            self.add(num[i])150            self.play(WiggleOutThenIn(num[i]), ShowCreationThenDestruction(circle), run_time=1)151            self.remove(num[i])152class How_to(Text4animScene):153    def construct(self):154        """155        1.æ²¿ä¸¤ç»å¯¹è¾¹çä¸ç¹è¿æçç´çº¿åä¸¤å156        2.å½¢æäºåä¸ªç¢ç157        3.æå¾ï¼é¢è²ç¸åçè¾¹é¿åº¦ç¸ç158                çº¢è²è§åé»è²è§äºè¡¥159                ææç´«è²è§ä¹åä¸º360Â°160        4.å æ¤ï¼ä¸é¾è¯æï¼æç§å¨ç»éé¢çæ¼æ³ï¼å¾å°çå¾å½¢ä¸ºå¹³è¡åè¾¹å½¢161        """162        A, B, C, D = Dot(UP * 1.6 + RIGHT * 0.9), Dot(UP * 0.9 + RIGHT * 2.2), Dot(RIGHT * 2.7 + DOWN * 0.1), Dot(DOWN * 0.8)163        ABCD = VGroup(A, B, C, D).move_to(DOWN * 0.6 + RIGHT * 0.4).scale(2.25)164        # quadrilateral = self.get_poly_d(A, B, C, D) .add_updater(lambda p: p.become(self.get_poly_d(A, B, C, D, stroke_color=WHITE, stroke_width=8, fill_color=BLUE, fill_opacity=1.0)))165        quadrilateral = self.get_poly_d(A, B, C, D, stroke_color=WHITE, stroke_width=4.5, fill_color=BLUE, fill_opacity=0.9)166        E = self.get_point_on_line(A, B, 0.5)167        F = self.get_point_on_line(B, C, 0.5)168        G = self.get_point_on_line(C, D, 0.5)169        H = self.get_point_on_line(D, A, 0.5)170        I = self.intersection(E, G, F, H)171        cut_line_01 = Line(E, G, color=YELLOW).scale(2)172        cut_line_02 = Line(H, F, color=YELLOW).scale(2)173        poly_1 = self.get_poly_d(A, E, I, H, stroke_color=WHITE, stroke_width=4.5, fill_color=BLUE, fill_opacity=0.9)174        poly_2 = self.get_poly_d(E, B, F, I, stroke_color=WHITE, stroke_width=4.5, fill_color=BLUE, fill_opacity=0.9)175        poly_3 = self.get_poly_d(H, I, G, D, stroke_color=WHITE, stroke_width=4.5, fill_color=BLUE, fill_opacity=0.9)176        poly_4 = self.get_poly_d(I, F, C, G, stroke_color=WHITE, stroke_width=4.5, fill_color=BLUE, fill_opacity=0.9)177        fragments = VGroup(poly_1, poly_2, poly_3, poly_4).set_plot_depth(-1)178        # fragments_02 = fragments.copy().arrange(RIGHT * 0.35)179        text = Text('æ²¿ä¸¤ç»å¯¹è¾¹çä¸ç¹ææçç´çº¿åä¸¤å', font='ææºé»ä½ Bold', size=0.56, color=BLUE).to_corner(LEFT * 1.25 + UP * 1.25)180        self.play(FadeInFromLarge(quadrilateral), run_time=1.2)181        self.wait(0.2)182        t4a = self.ShiftInOneByOne_new(text, run_speed=0.25, wait_time=0.15)183        self.play(ShowCreationThenDestruction(cut_line_01), ShowCreationThenDestruction(cut_line_02), FadeIn(fragments), run_time=0.8)184        self.remove(quadrilateral)185        self.play(fragments[0].shift, UL * 0.25, fragments[1].shift, UR * 0.25,186                  fragments[2].shift, DL * 0.25, fragments[3].shift, DR * 0.25, run_time=1.6)187        self.wait(0.5)188        text_0 = Text('æå¾ï¼', font='ææºé»ä½ Bold', size=0.4).next_to(text, DOWN * 2, aligned_edge=LEFT)189        text_1 = Text('1.åè²çº¿æ®µçé¿', font='ææºé»ä½ Bold', size=0.4).next_to(text_0, DOWN * 1.6, aligned_edge=LEFT)190        text_1.set_color_by_t2c({'åè²çº¿æ®µ': GREEN})191        text_2 = Text('2.çº¢è§é»è§äºè¡¥', font='ææºé»ä½ Bold', size=0.4).next_to(text_1, DOWN * 1.6, aligned_edge=LEFT)192        text_2.set_color_by_t2c({'çº¢è§': RED, 'é»è§': YELLOW})193        text_3 = Text('3.ç´«è²è§ä¹åä¸º360åº¦', font='ææºé»ä½ Bold', size=0.4).next_to(text_2, DOWN * 1.6, aligned_edge=LEFT)194        text_3.set_color_by_t2c({'ç´«è²è§': PINK})195        text_4 = Text('ä¸éæä½çå¦è', font='ææºé»ä½ Bold', size=0.4).next_to(text_3, DOWN * 1.6, aligned_edge=LEFT)196        text_5 = Text('ç»æççæ¯éå¸¸çamazingåï¼', font='ææºé»ä½ Bold', size=0.4).next_to(text_4, DOWN * 1.6, aligned_edge=LEFT)197        text_6 = Text('(ç±ä¸é¢3ä¸ªç»è®ºä¸é¾è¯æç»ææ°å¥½ä¸ºå¹³è¡åè¾¹å½¢)', font='ææºé»ä½ Bold', size=0.4).next_to(text_5, DOWN * 1.6, aligned_edge=LEFT).set_color(GREEN)198        texts = VGroup(text_0, text_1, text_2, text_3, text_4, text_5, text_6).shift(RIGHT * 0.25)199        lines = VGroup(*[200            Line(A.get_center(), E.get_center(), color=RED,    stroke_width=5.4).scale(1.012).shift(UL * 0.25),201            Line(E.get_center(), B.get_center(), color=RED,    stroke_width=5.4).scale(1.012).shift(UR * 0.25),202            Line(B.get_center(), F.get_center(), color=YELLOW, stroke_width=5.4).scale(1.012).shift(UR * 0.25),203            Line(F.get_center(), C.get_center(), color=YELLOW, stroke_width=5.4).scale(1.012).shift(DR * 0.25),204            Line(C.get_center(), G.get_center(), color=GREEN,  stroke_width=5.4).scale(1.012).shift(DR * 0.25),205            Line(G.get_center(), D.get_center(), color=GREEN,  stroke_width=5.4).scale(1.012).shift(DL * 0.25),206            Line(D.get_center(), H.get_center(), color=PINK,   stroke_width=5.4).scale(1.012).shift(DL * 0.25),207            Line(H.get_center(), A.get_center(), color=PINK,   stroke_width=5.4).scale(1.012).shift(UL * 0.25),208        ]).set_plot_depth(2)209        angles = VGroup(*[210            Angle(H.get_center(), I.get_center(), E.get_center(), color=RED, radius=0.5).shift(UL * 0.25),211            Angle(E.get_center(), I.get_center(), F.get_center(), color=YELLOW, radius=0.5).shift(UR * 0.25),212            Angle(F.get_center(), I.get_center(), G.get_center(), color=RED, radius=0.5).shift(DR * 0.25),213            Angle(G.get_center(), I.get_center(), H.get_center(), color=YELLOW, radius=0.5).shift(DL * 0.25),214        ]).set_plot_depth(4)215        angles_02 = VGroup(*[216            Angle(H.get_center(), A.get_center(), E.get_center(), color=PINK,   radius=0.45).shift(UL * 0.25),217            Angle(E.get_center(), B.get_center(), F.get_center(), color=PINK,   radius=0.45).shift(UR * 0.25),218            Angle(F.get_center(), C.get_center(), G.get_center(), color=PINK,   radius=0.45).shift(DR * 0.25),219            Angle(G.get_center(), D.get_center(), H.get_center(), color=PINK,   radius=0.45).shift(DL * 0.25),220        ]).set_plot_depth(6)221        self.play(Write(text_0), run_time=0.9)222        self.wait(0.25)223        self.play(Write(text_1), ShowCreation(lines), run_time=2.1)224        self.wait(1.4)225        self.play(Write(text_2), ShowCreation(angles), run_time=2.2)226        self.wait(1.6)227        self.play(Write(text_3), ShowCreation(angles_02), run_time=2.5)228        self.wait(1.5)229        group_all = VGroup(fragments, lines, angles, angles_02)230        self.play(group_all.shift, RIGHT * 1.2)231        self.wait(0.4)232        self.remove(fragments, lines, angles, angles_02)233        ul = VGroup(fragments[0].set_plot_depth(-1), lines[0].set_plot_depth(1), lines[7].set_plot_depth(1), angles[0].set_plot_depth(2), angles_02[0].set_plot_depth(3))234        ur = VGroup(fragments[1].set_plot_depth(-1), lines[1].set_plot_depth(1), lines[2].set_plot_depth(1), angles[1].set_plot_depth(2), angles_02[1].set_plot_depth(3))235        dr = VGroup(fragments[3].set_plot_depth(-1), lines[3].set_plot_depth(1), lines[4].set_plot_depth(1), angles[2].set_plot_depth(2), angles_02[2].set_plot_depth(3))236        dl = VGroup(fragments[2].set_plot_depth(-1), lines[5].set_plot_depth(1), lines[6].set_plot_depth(1), angles[3].set_plot_depth(2), angles_02[3].set_plot_depth(3))237        self.add(*ul, *ur, *dr, *dl)238        t4a_2 = self.ShiftInOneByOne_new(text_4, run_speed=0.32, wait_time=0.15)239        self.play(Rotating(ul, radians=PI, about_point=(lines[-1].get_start() + lines[-2].get_end())/2, run_time=1.8, rate_func=smooth))240        self.wait(0.2)241        self.play(Rotating(dr, radians=PI, about_point=(lines[3].get_start() + lines[2].get_end())/2, run_time=1.8, rate_func=smooth))242        self.wait(0.4)243        self.play(ur.shift, DOWN * 3, dr.shift, DOWN * 3, ul.shift, UP * 3, dl.shift, UP * 3, run_time=1.5)244        self.wait(0.25)245        p1 = DOWN * 0.65 + RIGHT * 2246        self.play(ur.shift, (p1[0] - lines[2].get_start()[0] - 0.01) * RIGHT,247                  dr.shift, (p1[0] - lines[2].get_start()[0] - 0.01) * RIGHT,248                  ul.shift, (p1[0] - lines[0].get_start()[0]) * RIGHT,249                  dl.shift, (p1[0] - lines[0].get_start()[0]) * RIGHT, run_time=1.5)250        self.wait(0.2)251        self.play(ur.shift, (p1[1] - lines[2].get_start()[1]) * UP,252                  dr.shift, (p1[1] - lines[2].get_start()[1]) * UP,253                  ul.shift, (p1[1] - lines[0].get_start()[1]) * UP,254                  dl.shift, (p1[1] - lines[0].get_start()[1]) * UP, run_time=1.5)255        self.wait(0.1)256        t4a_3 = self.ShiftInOneByOne_new(text_5, run_speed=0.18, wait_time=0.1)257        self.play(WiggleOutThenIn(group_all))258        self.wait(0.4)259        self.play(WriteRandom(text_6), run_time=1.6)260        self.wait(5)261    def get_poly_p(self, p1, p2, p3, p4, **kwargs):262        return New_Polygon(p1, p2, p3, p4, **kwargs)263    def get_poly_d(self, d1, d2, d3, d4, **kwargs):264        return New_Polygon(d1.get_center(), d2.get_center(), d3.get_center(), d4.get_center(), **kwargs)265    def get_point_on_line(self, P1, P2, t=0.5, **kwargs):266        try:267            return Dot(P1.get_center() + t * (P2.get_center() - P1.get_center()), **kwargs)268        except:269            return Dot(P1 + t * (P2 - P1), **kwargs)270    def intersection(self, P1, P2, P3, P4, **kwargs):271        try:272            return Dot(line_intersection([P1.get_center(), P2.get_center()], [P3.get_center(), P4.get_center()]), **kwargs)273        except:274            return Dot(line_intersection([P1, P2], [P3, P4]), **kwargs)275class Tile(How_to):276    def construct(self):277        A, B, C, D = Dot(UP * 1.6 + RIGHT * 0.9), Dot(UP * 0.9 + RIGHT * 2.2), Dot(RIGHT * 2.7 + DOWN * 0.1), Dot(DOWN * 0.8)278        ABCD = VGroup(A, B, C, D).move_to(ORIGIN).scale(1.6)279        # quadrilateral = self.get_poly_d(A, B, C, D) .add_updater(lambda p: p.become(self.get_poly_d(A, B, C, D, stroke_color=WHITE, stroke_width=8, fill_color=BLUE, fill_opacity=1.0)))280        quadrilateral = self.get_poly_d(A, B, C, D, stroke_color=WHITE, stroke_width=3.6, fill_color=BLUE, fill_opacity=0.8)281        E = self.get_point_on_line(A, B, 0.5)282        F = self.get_point_on_line(B, C, 0.5)283        G = self.get_point_on_line(C, D, 0.5)284        H = self.get_point_on_line(D, A, 0.5)285        I = self.intersection(E, G, F, H)286        cut_line_01 = Line(E, G, color=YELLOW).scale(2)287        cut_line_02 = Line(H, F, color=YELLOW).scale(2)288        poly_1 = self.get_poly_d(A, E, I, H, stroke_color=WHITE, stroke_width=3.6, fill_color=BLUE, fill_opacity=0.8)289        poly_2 = self.get_poly_d(E, B, F, I, stroke_color=WHITE, stroke_width=3.6, fill_color=BLUE, fill_opacity=0.8)290        poly_3 = self.get_poly_d(H, I, G, D, stroke_color=WHITE, stroke_width=3.6, fill_color=BLUE, fill_opacity=0.8)291        poly_4 = self.get_poly_d(I, F, C, G, stroke_color=WHITE, stroke_width=3.6, fill_color=BLUE, fill_opacity=0.8)292        fragments = VGroup(poly_1, poly_2, poly_3, poly_4).set_plot_depth(-1)293        lines = VGroup(*[294            Line(A.get_center(), E.get_center(), color=RED,    stroke_width=5.4).scale(1.012),295            Line(E.get_center(), B.get_center(), color=RED,    stroke_width=5.4).scale(1.012),296            Line(B.get_center(), F.get_center(), color=YELLOW, stroke_width=5.4).scale(1.012),297            Line(F.get_center(), C.get_center(), color=YELLOW, stroke_width=5.4).scale(1.012),298            Line(C.get_center(), G.get_center(), color=GREEN,  stroke_width=5.4).scale(1.012),299            Line(G.get_center(), D.get_center(), color=GREEN,  stroke_width=5.4).scale(1.012),300            Line(D.get_center(), H.get_center(), color=PINK,   stroke_width=5.4).scale(1.012),301            Line(H.get_center(), A.get_center(), color=PINK,   stroke_width=5.4).scale(1.012),302        ]).set_plot_depth(2)303        angles = VGroup(*[304            Angle(H.get_center(), I.get_center(), E.get_center(), color=RED, radius=0.36),305            Angle(E.get_center(), I.get_center(), F.get_center(), color=YELLOW, radius=0.36),306            Angle(F.get_center(), I.get_center(), G.get_center(), color=RED, radius=0.36),307            Angle(G.get_center(), I.get_center(), H.get_center(), color=YELLOW, radius=0.36),308        ]).set_plot_depth(4)309        angles_02 = VGroup(*[310            Angle(H.get_center(), A.get_center(), E.get_center(), color=PINK,   radius=0.36),311            Angle(E.get_center(), B.get_center(), F.get_center(), color=PINK,   radius=0.36),312            Angle(F.get_center(), C.get_center(), G.get_center(), color=PINK,   radius=0.36),313            Angle(G.get_center(), D.get_center(), H.get_center(), color=PINK,   radius=0.36),314        ]).set_plot_depth(6)315        group_all = VGroup(fragments, lines, angles, angles_02)316        self.add(group_all)317        group_all_02 = group_all.copy()318        self.play(Rotating(group_all_02, radians=PI, about_point=lines[0].get_end(), run_time=2))319        group_all_02.shift(LEFT * 0.01)320        self.wait(0.5)321        group_all_03 = group_all.copy()322        self.play(Rotating(group_all_03, radians=PI, about_point=lines[2].get_end(), run_time=2))323        group_all_03.shift(UP * 0.01)324        self.wait(0.5)325        group_all_04 = group_all_03.copy()326        self.play(Rotating(group_all_04, radians=PI, about_point=group_all_03[1][4].get_end(), run_time=2))327        group_all_04.shift(DL * 0.013)328        self.wait(0.5)329        # ul = VGroup(fragments[0].set_plot_depth(-1), lines[0].set_plot_depth(1), lines[7].set_plot_depth(1), angles[0].set_plot_depth(2), angles_02[0].set_plot_depth(3))330        # ur = VGroup(fragments[1].set_plot_depth(-1), lines[1].set_plot_depth(1), lines[2].set_plot_depth(1), angles[1].set_plot_depth(2), angles_02[1].set_plot_depth(3))331        # dr = VGroup(fragments[3].set_plot_depth(-1), lines[3].set_plot_depth(1), lines[4].set_plot_depth(1), angles[2].set_plot_depth(2), angles_02[2].set_plot_depth(3))332        # dl = VGroup(fragments[2].set_plot_depth(-1), lines[5].set_plot_depth(1), lines[6].set_plot_depth(1), angles[3].set_plot_depth(2), angles_02[3].set_plot_depth(3))333        # self.add(*ul, *ur, *dr, *dl)334        all = VGroup(group_all, group_all_02, group_all_03, group_all_04)335        self.play(all.move_to, ORIGIN)336        self.wait(0.5)337        v_x, v_y = F.get_center() - H.get_center(), E.get_center() - G.get_center()338        vects =np.array([-v_x + v_y, v_y, v_x + v_y,339                         -v_x,            v_x,340                         -v_x - v_y, -v_y, v_x - v_y]) * 2341        for vect in vects:342            all_i = all.copy()343            self.play(all_i.shift, vect, run_time=1.)344            self.wait(0.2)345        self.wait(4)346class Tile_02(How_to):347    def construct(self):348        A, B, C, D = Dot(UP * 1.6 + RIGHT * 0.9), Dot(UP * 0.9 + RIGHT * 2.2), Dot(RIGHT * 2.7 + DOWN * 0.1), Dot(DOWN * 0.8)349        ABCD = VGroup(A, B, C, D).move_to(ORIGIN).scale(1.6)350        # quadrilateral = self.get_poly_d(A, B, C, D) .add_updater(lambda p: p.become(self.get_poly_d(A, B, C, D, stroke_color=WHITE, stroke_width=8, fill_color=BLUE, fill_opacity=1.0)))351        quadrilateral = self.get_poly_d(A, B, C, D, stroke_color=WHITE, stroke_width=3.6, fill_color=BLUE, fill_opacity=0.8)352        E = self.get_point_on_line(A, B, 0.5)353        F = self.get_point_on_line(B, C, 0.5)354        G = self.get_point_on_line(C, D, 0.5)355        H = self.get_point_on_line(D, A, 0.5)356        I = self.intersection(E, G, F, H)357        cut_line_01 = Line(E, G, color=YELLOW).scale(2)358        cut_line_02 = Line(H, F, color=YELLOW).scale(2)359        poly_1 = self.get_poly_d(A, E, I, H, stroke_color=WHITE, stroke_width=3.6, fill_color=BLUE, fill_opacity=0.8)360        poly_2 = self.get_poly_d(E, B, F, I, stroke_color=WHITE, stroke_width=3.6, fill_color=BLUE, fill_opacity=0.8)361        poly_3 = self.get_poly_d(H, I, G, D, stroke_color=WHITE, stroke_width=3.6, fill_color=BLUE, fill_opacity=0.8)362        poly_4 = self.get_poly_d(I, F, C, G, stroke_color=WHITE, stroke_width=3.6, fill_color=BLUE, fill_opacity=0.8)363        fragments = VGroup(poly_1, poly_2, poly_3, poly_4).set_plot_depth(-1)364        lines = VGroup(*[365            Line(A.get_center(), E.get_center(), color=RED,    stroke_width=5.4).scale(1.012),366            Line(E.get_center(), B.get_center(), color=RED,    stroke_width=5.4).scale(1.012),367            Line(B.get_center(), F.get_center(), color=YELLOW, stroke_width=5.4).scale(1.012),368            Line(F.get_center(), C.get_center(), color=YELLOW, stroke_width=5.4).scale(1.012),369            Line(C.get_center(), G.get_center(), color=GREEN,  stroke_width=5.4).scale(1.012),370            Line(G.get_center(), D.get_center(), color=GREEN,  stroke_width=5.4).scale(1.012),371            Line(D.get_center(), H.get_center(), color=PINK,   stroke_width=5.4).scale(1.012),372            Line(H.get_center(), A.get_center(), color=PINK,   stroke_width=5.4).scale(1.012),373        ]).set_plot_depth(2)374        angles = VGroup(*[375            Angle(H.get_center(), I.get_center(), E.get_center(), color=RED, radius=0.36),376            Angle(E.get_center(), I.get_center(), F.get_center(), color=YELLOW, radius=0.36),377            Angle(F.get_center(), I.get_center(), G.get_center(), color=RED, radius=0.36),378            Angle(G.get_center(), I.get_center(), H.get_center(), color=YELLOW, radius=0.36),379        ]).set_plot_depth(4)380        angles_02 = VGroup(*[381            Angle(H.get_center(), A.get_center(), E.get_center(), color=PINK,   radius=0.36),382            Angle(E.get_center(), B.get_center(), F.get_center(), color=PINK,   radius=0.36),383            Angle(F.get_center(), C.get_center(), G.get_center(), color=PINK,   radius=0.36),384            Angle(G.get_center(), D.get_center(), H.get_center(), color=PINK,   radius=0.36),385        ]).set_plot_depth(6)386        ul = VGroup(fragments[0].set_plot_depth(-1), lines[0].set_plot_depth(1), lines[7].set_plot_depth(1), angles[0].set_plot_depth(2), angles_02[0].set_plot_depth(3))387        ur = VGroup(fragments[1].set_plot_depth(-1), lines[1].set_plot_depth(1), lines[2].set_plot_depth(1), angles[1].set_plot_depth(2), angles_02[1].set_plot_depth(3))388        dr = VGroup(fragments[3].set_plot_depth(-1), lines[3].set_plot_depth(1), lines[4].set_plot_depth(1), angles[2].set_plot_depth(2), angles_02[2].set_plot_depth(3))389        dl = VGroup(fragments[2].set_plot_depth(-1), lines[5].set_plot_depth(1), lines[6].set_plot_depth(1), angles[3].set_plot_depth(2), angles_02[3].set_plot_depth(3))390        self.add(*ul, *ur, *dr, *dl)391        self.wait(0.6)392        self.play(Rotating(ul, radians=PI, about_point=(lines[-1].get_start() + lines[-2].get_end())/2, run_time=1.6, rate_func=smooth))393        self.wait(0.2)394        self.play(Rotating(dr, radians=PI, about_point=(lines[3].get_start() + lines[2].get_end())/2, run_time=1.6, rate_func=smooth))395        self.wait(0.4)396        p1 = DL * 0.8397        all = VGroup(ul, ur, dr, dl)398        self.play(ur.shift, p1 - lines[2].get_start() + LEFT * 0.01,399                  dr.shift, p1 - lines[2].get_start() + LEFT * 0.01,400                  ul.shift, p1 - lines[0].get_start(),401                  dl.shift, p1 - lines[0].get_start(), run_time=1.5)402        self.wait(1)403        all_02 = all.copy()404        self.play(Rotating(all_02, radians=PI, about_point=lines[5].get_start(), run_time=1.5, rate_func=smooth))405        all_02.shift(DL * 0.01)406        self.wait(0.4)407        v_x, v_y = F.get_center() - H.get_center(), E.get_center() - G.get_center()408        all_03 = all.copy()409        self.play(all_03.shift, v_x + v_y + 0.01 * RIGHT, run_time=1.6)410        self.wait(0.4)411        all_04 = all_02.copy()412        self.play(all_04.shift, -v_x + v_y + 0.01 * LEFT, run_time=1.6)413        self.wait(0.6)414        all_group = VGroup(all, all_02, all_03, all_04)415        self.play(all_group.move_to, ORIGIN)416        self.wait(0.5)417        ploy4 = VGroup(all[3], all_02[2], all_03[1], all_04[0])418        self.play(WiggleOutThenIn(ploy4))419        self.wait(0.5)420        vects =np.array([-v_x + v_y, v_y, v_x + v_y,421                         -v_x,            v_x,...

bg79_cover.py

Source:bg79_cover.py

1from manimlib.imports import *2class Cover(Scene):3    def construct(self):4        t = TextMobject(*[str(x+1) for x in range(6)])5        t[1].move_to(t[0].get_center() + DL*1.5)6        t[2].move_to(t[0].get_center() + DR*1.5)7        arrow1 = Arrow(t[0].get_center(), t[1].get_center())8        arrow1.set_color(RED)9        arrow2 = Arrow(t[0].get_center(), t[2].get_center())10        t[3].move_to(t[1].get_center() + DL)11        t[4].move_to(t[1].get_center() + DR)12        t[5].move_to(t[2].get_center() + DL)13        arrow3 = Arrow(t[1].get_center(), t[3].get_center())14        arrow4 = Arrow(t[1].get_center(), t[4].get_center())15        arrow5 = Arrow(t[2].get_center(), t[5].get_center())16        tree = VGroup(t, arrow1, arrow2, arrow3, arrow4, arrow5)17        self.play(Write(tree))18        l1 = Line()19        l2 = Line()20        l2.move_to(l1.get_center())21        l2.rotate(90*DEGREES)22        cross = VGroup(l1, l2)23        cross.set_color(GREEN)24        cross.scale(0.4)25        cross.rotate(25*DEGREES)26        cross.move_to((t[0].get_center() + t[1].get_center())/2)27        self.play(Write(cross))28        t = TextMobject(r'Max\\ ', 'Product')29        t.scale(3)30        t.set_color(BLUE)31        t.shift(UP*1.5)32        self.play(Write(t))33        r = Rectangle(height=1.3, width=3.3)34        r.move_to(t[0].get_center())35        r.set_color(YELLOW)36        self.play(Write(r))37        tree = VGroup(tree, cross)38        tree.move_to(t.get_center()+DOWN*3.3)...

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