class ContinuousMotion(Scene):
def construct(self):
func = lambda pos: np.sin(pos[0] / 2) * UR + np.cos(pos[1] / 2) * LEFT
stream_lines = StreamLines(func, stroke_width=2, max_anchors_per_line=30)
self.add(stream_lines)
stream_lines.start_animation(warm_up=False, flow_speed=1.5)
self.wait(stream_lines.virtual_time / stream_lines.flow_speed)
class OpeningManim(Scene):
def construct(self):
title = Tex(r"This is some \LaTeX")
basel = MathTex(r"\sum_{n=1}^\infty \frac{1}{n^2} = \frac{\pi^2}{6}")
VGroup(title, basel).arrange(DOWN)
self.play(
Write(title),
FadeIn(basel, shift=DOWN),
self.wait()
transform_title = Tex("That was a transform")
transform_title.to_corner(UP + LEFT)
self.play(
Transform(title, transform_title),
LaggedStart(*(FadeOut(obj, shift=DOWN) for obj in basel)),
self.wait()
grid = NumberPlane()
grid_title = Tex("This is a grid", font_size=72)
grid_title.move_to(transform_title)
self.add(grid, grid_title) # Make sure title is on top of grid
self.play(
FadeOut(title),
FadeIn(grid_title, shift=UP),
Create(grid, run_time=3, lag_ratio=0.1),
self.wait()
grid_transform_title = Tex(
r"That was a non-linear function \\ applied to the grid",
grid_transform_title.move_to(grid_title, UL)
grid.prepare_for_nonlinear_transform()
self.play(
grid.animate.apply_function(
lambda p: p
+ np.array(
np.sin(p[1]),
np.sin(p[0]),
run_time=3,
self.wait()
self.play(Transform(grid_title, grid_transform_title))
self.wait()
class SquareToCircle(Scene):
def construct(self):
circle = Circle()
square = Square()
square.flip(RIGHT)
square.rotate(-3 * TAU / 8)
circle.set_fill(PINK, opacity=0.5)
self.play(Create(square))
self.play(Transform(square, circle))
self.play(FadeOut(square))
class UnionExample(Scene):
def construct(self):
sq = Square(color=RED, fill_opacity=1).move_to([-2, 0, 0])
cr = Circle(color=BLUE, fill_opacity=1).move_to([-1.3, 0.7, 0])
un = Union(sq, cr, color=GREEN, fill_opacity=1).move_to([1.5, 0.3, 0])
self.add(sq, cr, un)
class WarpSquare(Scene):
def construct(self):
square = Square()
self.play(
ApplyPointwiseFunction(
lambda point: complex_to_R3(np.exp(R3_to_complex(point))),
