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() sub_nodes_r1[0][0] = sub_nodes_r1[0][1] sub_nodes_r1[1][0] = sub_nodes_r1[1][1] sub_nodes_r1[3][0] = sub_nodes_r1[3][1] sub_nodes_r2[0][0] = sub_nodes_r2[0][1] sub_nodes_r2[2][0] = sub_nodes_r2[2][1] sub_nodes_r24[1][0] = sub_nodes_r24[1][1] sub_nodes_r3[0][0] = sub_nodes_r3[0][1] sub_nodes_r3[3][0] = sub_nodes_r3[3][1] 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, ) graph.save_state() self.play( FadeOut(graph), p5.animate.set_color(GRAY), FadeOut(sub_text_r1), FadeOut(sub_text_r2), FadeOut(sub_text_r24), ) v = self.add_particles_and_squares() self.play( l1.animate.set_stroke(opacity=1), l3.animate.set_stroke(opacity=1), l2.animate.set_stroke(opacity=1), run_time=0.3, ) 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) diagram.save_state() self.stop_ambient_camera_rotation(about="phi") self.play( top.animate.shift((0, 0, 2)), 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, ) self.play( Rotate( diagram, angle=360 * DEGREES, rate_func=rate_functions.ease_in_out_cubic ), run_time=5, ) self.begin_ambient_camera_rotation(-90 * DEGREES / 3, about="phi") self.play(Restore(diagram), run_time=2.5) self.stop_ambient_camera_rotation(about="phi") self.wait(1) diagram = diagram[1:] self.play(FadeOut(v), run_time=0.5) self.play(Restore(graph), diagram.animate.move_to(shift_pos)) self.wait(3) 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