from manim import * shift_pos = LEFT * config.frame_width / 4 graph_pos = RIGHT*3 + UP *2 graph_pos_left = graph_pos + LEFT*2 text_pos_1 = (1.5, 3,0) text_pos_2 = (3.0, 3,0) start_size=config.frame_width / 2.5 start_rad = 0.3 l1_color = PURPLE l2_color = LIGHT_PINK l3_color = RED l4_color = YELLOW l5_color = PINK class DefaultTemplate(ThreeDScene): def construct(self): plus = Text("+") plus.move_to(text_pos_1).shift(((text_pos_2[0]-text_pos_1[0])/2,0,0)) equal = Text("=") equal.move_to(text_pos_1).shift(((text_pos_2[0]-text_pos_1[0])*1.5,0,0)) top = Square(color=WHITE, side_length=start_size) top.shift(shift_pos) l1 = Square(color=l1_color, side_length=start_size, grid_xstep=start_size/2, grid_ystep=start_size/2) l1.set_z_index(-1) l1.shift(shift_pos) def create_node(color,kg, destination, radius=start_rad): node = Circle(color=color, radius=radius) node.move_to(destination) t = Text(str(kg), font_size=(25*1/start_rad)*radius) t.move_to(node) node = VGroup(node, t) return node def animate_dot_2_node(dot, node): new_node = dot.copy() self.play(Transform(new_node,node)) return new_node def add_2_nodes(n1,n2, s, write=True,scale=1,color=GREEN): self.play(n1.animate.move_to(text_pos_1)) if write: self.play(Write(plus)) self.play(n2.animate.move_to(text_pos_2)) if write: self.play(Write(equal)) result = create_node(color, s, equal) result.shift(((text_pos_2[0]-text_pos_1[0])/2,0,0)) result.scale(scale) self.play(Create(result)) return result def get_sub(root, rad=0.75,start=-2): slots = VGroup() for i in range(start,2): if start != -2 and i == start: sub = create_node(GRAY_D, "...", root) else: sub = create_node(GRAY_D,i+2, root) sub.scale(rad) sub.shift(((i+0.5)*rad,-1,0)) slots.add(sub) return slots def get_square_text(div=1,offset_x=0,offset_y=0): slots = VGroup() i= 0 for y in [1,-1]: for x in [-1, 1]: text = Text(text=str(i),font_size=int(50/div)) text.move_to(l1) text.shift((x*start_size/4/div +offset_x,y*start_size/4/div+offset_y,0)) slots.add(text) i+=1 return slots def hide_text(): self.play(Unwrite(plus), Unwrite(equal)) self.play(Create(top)) #self.wait(1) p1 = self.add_particle((1,2,0), BLUE_C) p1_node = create_node(BLUE,5, graph_pos) #self.wait(10) p1_node = animate_dot_2_node(p1,p1_node) self.play(p1.animate.set_color(GRAY)) p2 =self.add_particle((-2,1,0), BLUE_C,0.5, False) p2_node = create_node(BLUE,1, graph_pos_left) p2_node = animate_dot_2_node(p2,p2_node) root_1 = add_2_nodes(p1_node,p2_node, 6,color=l1_color) self.play(root_1.animate.move_to(graph_pos)) sub_nodes_r1 = get_sub(root_1) sub_text_r1 = get_square_text() self.play(Create(l1)) for i, n in enumerate(sub_nodes_r1): arrow = Arrow(start=root_1.get_center(), end=n.get_center(), color=BLUE) new = root_1.copy() self.play(Write(sub_text_r1[i]),Transform(new,VGroup(n,arrow))) sub_nodes_r1[i] = new for i, n in enumerate(sub_text_r1): self.play(n.animate.set_color(GRAY_D),l1.animate.set_stroke(opacity=0.5),run_time=0.2) self.play(p2_node.animate.scale(0.75),p1_node.animate.scale(0.75)) self.play(p1_node.animate.move_to(sub_nodes_r1[1][0]),FadeOut(sub_nodes_r1[1][0])) self.play(p2_node.animate.move_to(sub_nodes_r1[0][0]),FadeOut(sub_nodes_r1[0][0])) self.play(p2.animate.set_color(GRAY)) p3 =self.add_particle((1,1,0), BLUE_C,0, False) p3_node = create_node(BLUE,8, graph_pos_left) p3_node = animate_dot_2_node(p3,p3_node) root_1_1 = add_2_nodes(p3_node,root_1, 14, False, color=l1_color) self.play(root_1_1.animate.move_to(graph_pos)) self.play(FadeOut(root_1)) root_1 = root_1_1 root_2 = add_2_nodes(p3_node,p1_node, 13, False, 0.75, l2_color) self.play(root_2.animate.move_to(sub_nodes_r1[1][0])) l2 = Square(color=l2_color, side_length=start_size/2, grid_xstep=start_size/4, grid_ystep=start_size/4) l2.shift((start_size/4,start_size/4,0)) l2.set_z_index(-2) l2.shift(shift_pos) self.play(Create(l2)) sub_nodes_r2 = get_sub(root_2, 0.75*0.75) sub_text_r2 = get_square_text(2, start_size/4,start_size/4) for i, n in enumerate(sub_nodes_r2): arrow = Arrow(start=root_2.get_center(), end=n.get_center(), color=BLUE) new = root_2.copy() self.play(Write(sub_text_r2[i]),Transform(new,VGroup(n,arrow))) sub_nodes_r2[i] = new for i, n in enumerate(sub_text_r2): self.play(n.animate.set_color(GRAY_D),l2.animate.set_stroke(opacity=0.5),run_time=0.2) self.play(p1_node.animate.scale(0.75),p3_node.animate.scale(0.75*0.75)) self.play(p1_node.animate.move_to(sub_nodes_r2[0][0]),FadeOut(sub_nodes_r2[0][0])) self.play(p3_node.animate.move_to(sub_nodes_r2[2][0]),FadeOut(sub_nodes_r2[2][0])) self.play(p3.animate.set_color(GRAY)) p4 =self.add_particle((2,-1.8,0), BLUE_C,0, False) p4_node = create_node(BLUE,42, graph_pos_left) p4_node = animate_dot_2_node(p4,p4_node) root_1_1 = add_2_nodes(p4_node,root_1, 56, False, color=l1_color) self.play(root_1_1.animate.move_to(graph_pos)) self.play(FadeOut(root_1)) root_1 = root_1_1 self.play(p4_node.animate.scale(0.75), p4.animate.set_color(GRAY)) self.play(p4_node.animate.move_to(sub_nodes_r1[3][0]),FadeOut(sub_nodes_r1[3][0])) #P5 p5 =self.add_particle((2.5,-2.3,0), BLUE_C,0, False) p5_node = create_node(BLUE,2, graph_pos_left) p5_node = animate_dot_2_node(p5,p5_node) root_1_1 = add_2_nodes(p5_node,root_1, 58, False, color=l1_color) self.play(root_1_1.animate.move_to(graph_pos)) self.play(FadeOut(root_1)) root_1 = root_1_1 root_2_4 = add_2_nodes(p5_node,p4_node, 44, False,0.75, color=l2_color) self.play(root_2_4.animate.move_to(sub_nodes_r1[3][0])) l3 = Square(color=l2_color, side_length=start_size/2, grid_xstep=start_size/4, grid_ystep=start_size/4) l3.shift((start_size/4,-start_size/4,0)) l3.set_z_index(-2) l3.shift(shift_pos) self.play(Create(l3)) sub_nodes_r24 = get_sub(root_2_4, 0.75,0) sub_text_r24 = get_square_text(2, start_size/4,-start_size/4) for n in sub_text_r24: self.play(Write(n)) for i, n in enumerate(sub_nodes_r24): arrow = Arrow(start=root_2_4.get_center(), end=n.get_center(), color=BLUE) new = root_2_4.copy() self.play(Transform(new,VGroup(n,arrow))) sub_nodes_r24[i] = new self.play(p4_node.animate.move_to(sub_nodes_r24[1][0]),FadeOut(sub_nodes_r24[1][0])) self.play(p4_node.animate.scale(0.75),l3.animate.set_stroke(opacity=0.5)) #l4 l4 = Square(color=l3_color, side_length=start_size/4, grid_xstep=start_size/8, grid_ystep=start_size/8) l4.shift(((start_size/4) *1.5,(-start_size/4) *1.5,0)) l4.set_z_index(-3) l4.shift(shift_pos) self.play(Create(l4)) root_3 = add_2_nodes(p5_node,p4_node, 44, False, 0.75**2,l3_color) self.play(root_3.animate.move_to(sub_nodes_r24[1][0])) sub_nodes_r3 = get_sub(root_3, 0.75**3) for i, n in enumerate(sub_nodes_r3): arrow = Arrow(start=root_3.get_center(), end=n.get_center(), color=BLUE) new = root_3.copy() self.play(Transform(new,VGroup(n,arrow))) sub_nodes_r3[i] = new self.play(p5_node.animate.scale(0.75**3),p4_node.animate.scale(0.75), run_time=0.3) self.play(p4_node.animate.move_to(sub_nodes_r3[0][0]),FadeOut(sub_nodes_r3[0][0])) self.play(p5_node.animate.move_to(sub_nodes_r3[3][0]),FadeOut(sub_nodes_r3[3][0])) hide_text() graph = VGroup(p1_node,p2_node,p3_node,p4_node,p5_node,root_1,root_2,root_2_4,root_3,sub_nodes_r1,sub_nodes_r2,sub_nodes_r24,sub_nodes_r3,sub_text_r1,sub_text_r2,sub_text_r24) self.play(FadeOut(graph),p5.animate.set_color(GRAY)) v = self.add_particles_and_squares() diagram = VGroup(v, top, p1, p2, p3, p4, p5, l1, l2, l3, l4) self.begin_ambient_camera_rotation(90*DEGREES/3, about='phi') self.play(diagram.animate.move_to((0,0,0)),run_time=2.5) self.stop_ambient_camera_rotation(about='phi') self.begin_ambient_camera_rotation(360*DEGREES/10.5, about='theta') self.play(l1.animate.set_stroke(opacity=1),l3.animate.set_stroke(opacity=1), l2.animate.set_stroke(opacity=1),run_time=0.3) self.play(top.animate.shift((0,0,2)),l1.animate.shift((0,0,0)), l2.animate.shift((0,0,0)),l3.animate.shift((0,0,0)),l4.animate.shift((0,0,-1)), p4.animate.shift((0,0,-2)),p5.animate.shift((0,0,-1)),p2.animate.shift((0,0,-2)) ,p1.animate.shift((0,0,-3)) ,*[x.animate.shift((0,0,0)) for x in v[0]] ,*[x.animate.shift((0,0,-1)) for x in v[1]], *[x.animate.shift((0,0,-2)) for x in v[2]], *[x.animate.shift((0,0,-3)) for x in v[3]],run_time= 3) self.wait(2.5) self.wait(2.5) #Undo Movement self.play(top.animate.shift((0,0,-2)),l1.animate.shift((0,0,0)), l2.animate.shift((0,0,0)),l3.animate.shift((0,0,0)),l4.animate.shift((0,0,1)), p4.animate.shift((0,0,2)),p5.animate.shift((0,0,1)),p2.animate.shift((0,0,2)) ,p1.animate.shift((0,0,3)) ,*[x.animate.shift((0,0,0)) for x in v[0]] ,*[x.animate.shift((0,0,1)) for x in v[1]], *[x.animate.shift((0,0,2)) for x in v[2]], *[x.animate.shift((0,0,3)) for x in v[3]],run_time= 2.5) self.stop_ambient_camera_rotation(about='theta') self.begin_ambient_camera_rotation(-90*DEGREES/3, about='phi') self.play(diagram.animate.move_to(shift_pos),run_time=2.5) self.stop_ambient_camera_rotation(about='phi') self.wait(4) return def create_square(self,color, size, shift_pos, z_index, shift_values): square = Square(color=color, side_length=size, grid_xstep=size/2, grid_ystep=size/2) square.shift(shift_values) square.set_z_index(z_index) square.shift(shift_pos) self.play(Create(square)) return square def add_particles_and_squares(self): t = 0.2 p6 =self.add_particle((-2.7, -2.7, 0), GRAY, t, False) p7 =self.add_particle((-2.1, -1.1, 0), GRAY, t, False) l7 = self.create_square(l2_color, start_size / 2, shift_pos, -2, (-start_size / 4, -start_size / 4, 0)) p8 =self.add_particle((1.1, 2.7, 0), GRAY, t, False) l8 = self.create_square(l3_color, start_size / 4, shift_pos, -3, ((start_size / 4) * 0.5, (start_size / 4) * 1.5, 0)) p9 =self.add_particle((1.67, 1.24, 0), GRAY, t, False) p11 =self.add_particle((-0.92, 2.12, 0), GRAY, t, False) l10 = self.create_square(l2_color, start_size / 2, shift_pos, -2, (-start_size / 4, start_size / 4, 0)) p12 =self.add_particle((1.13, -1.45, 0), GRAY, t, False) p13 =self.add_particle((-2.48, 0.58, 0), GRAY, t, False) l12 = self.create_square(l3_color, start_size / 4, shift_pos, -3, (-(start_size / 4) * 1.5, (start_size / 4) * 0.5, 0)) p14 =self.add_particle((0.62, -2.14, 0), GRAY, t, False) p15 =self.add_particle((2.35, -1.78, 0), GRAY, t, False) p16 =self.add_particle((-1.61, 0.91, 0), GRAY, t, False) l16 = self.create_square(l4_color, start_size / 8, shift_pos, -4, (-(start_size / 4) * 1.25, (start_size / 4) * 0.75, 0)) p17 =self.add_particle((-2.35, -0.98, 0), GRAY, t, False) l17 = self.create_square(l3_color, start_size / 4, shift_pos, -3, (-(start_size / 4) * 1.5, -(start_size / 4) * 0.5, 0)) p18 =self.add_particle((0.84, 1.95, 0), GRAY, t, False) l18 = self.create_square(l4_color, start_size / 8, shift_pos, -4, ((start_size / 4) * 0.75, (start_size / 4) * 1.25, 0)) l19 = self.create_square(l5_color, start_size / 16, shift_pos, -5, ((start_size / 4) * 0.625, (start_size / 4) * 1.375, 0)) p20 = self.add_particle((0.5, -0.5, 0), GRAY, t, False) l20 = self.create_square(l3_color, start_size / 4, shift_pos, -3, ((start_size / 4) * 0.5, -(start_size / 4) * 0.5, 0)) p21 = self.add_particle((-1.8, 1.4, 0), GRAY, t, False) p22 = self.add_particle((1.5, -2.0, 0), GRAY, t, False) l22 = self.create_square(l4_color, start_size / 8, shift_pos, -4, ((start_size / 4) * 1.25, -(start_size / 4) * 1.25, 0)) p23 = self.add_particle((-0.5, -1.6, 0), GRAY, t, False) p24 = self.add_particle((-2.0, -2.2, 0), GRAY, t, False) l24 = self.create_square(l3_color, start_size / 4, shift_pos, -3, (-(start_size / 4) * 1.5, -(start_size / 4) * 1.5, 0)) l2_g = VGroup(l7, p9, l10, p11, p14,p23) l3_g = VGroup(p13, p7, p8, l8, p15, l12, p17, l17,p20, p12,l20,p24,p6,l24) l4_g = VGroup(p16, l18, l16, p22,l22,p21) l5_g = VGroup(p18, l19) return VGroup(l2_g,l3_g,l4_g,l5_g) def add_particle(self,point,color, runtime=1, write=True): dot = Dot(color=color) dot.move_to((shift_pos)) lable = Text(f"{point[:2]}",font_size=25,color=color) lable.shift(tuple(x+0.35 for x in point)) if runtime>0: if runtime<=0.3: dot.shift(point) self.play(Create(dot), run_time=runtime) else: self.play(Create(dot), run_time=runtime) self.play(dot.animate.shift(point), run_time=runtime) else: dot.shift(point) self.add(dot) if write: lable.move_to(dot) lable.shift((0.5,0.2,0)) self.play(Write(lable)) #self.wait(1) self.play(FadeOut(lable)) return dot