class TransformOverIncreasingOrders(SpaceFillingCurveScene):
def setup(self, CurveClass):
sample = CurveClass(order = 1)
self.curve = Line(3*LEFT, 3*RIGHT)
self.curve.gradient_highlight(
sample.start_color,
sample.end_color
)
self.CurveClass = CurveClass
self.order = 0
def construct(self, CurveClass, max_order):
self.setup(CurveClass)
while self.order < max_order:
self.increase_order()
self.dither()
def increase_order(self, *other_anims):
self.order += 1
new_curve = self.CurveClass(order = self.order)
self.play(
Transform(self.curve, new_curve),
*other_anims,
run_time = 3/np.sqrt(self.order)
)
class TransformOverIncreasingOrders(SpaceFillingCurveScene):
def setup(self, CurveClass):
sample = CurveClass(order = 1)
self.curve = Line(3*LEFT, 3*RIGHT)
self.curve.gradient_highlight(
sample.start_color,
sample.end_color
)
self.CurveClass = CurveClass
self.order = 0
def construct(self, CurveClass, max_order):
self.setup(CurveClass)
while self.order < max_order:
self.increase_order()
self.dither()
def increase_order(self, *other_anims):
self.order += 1
new_curve = self.CurveClass(order = self.order)
self.play(
Transform(self.curve, new_curve),
*other_anims,
run_time = 3/np.sqrt(self.order)
)
def construct(self, max_order):
sample = self.curve_class(order = 1)
curve = Line(sample.radius*LEFT, sample.radius*RIGHT)
curve.gradient_highlight(
sample.start_color,
sample.end_color
)
for order in range(1, max_order):
new_curve = self.curve_class(order = order)
self.play(
Transform(curve, new_curve),
run_time = 3/np.sqrt(order),
)
self.dither()
def construct(self):
grid = Grid(64, 64)
space_region = Region()
space_mobject = MobjectFromRegion(space_region, DARK_GREY)
curve = PeanoCurve(order = 5).replace(space_mobject)
line = Line(5*LEFT, 5*RIGHT)
line.gradient_highlight(curve.start_color, curve.end_color)
for mob in grid, space_mobject:
mob.sort_points(np.linalg.norm)
infinitely = TextMobject("Infinitely")
detailed = TextMobject("detailed")
extending = TextMobject("extending")
detailed.next_to(infinitely, RIGHT)
extending.next_to(infinitely, RIGHT)
Mobject(extending, infinitely, detailed).center()
arrows = Mobject(*[
Arrow(2*p, 4*p)
for theta in np.arange(np.pi/6, 2*np.pi, np.pi/3)
for p in [rotate_vector(RIGHT, theta)]
])
self.add(grid)
self.wait()
self.play(Transform(grid, space_mobject, run_time = 5))
self.remove(grid)
self.highlight_region(space_region, DARK_GREY)
self.wait()
self.add(infinitely, detailed)
self.wait()
self.play(DelayByOrder(Transform(detailed, extending)))
self.play(ShowCreation(arrows))
self.wait()
self.clear()
self.highlight_region(space_region, DARK_GREY)
self.play(ShowCreation(line))
self.play(Transform(line, curve, run_time = 5))
def construct(self):
grid = Grid(64, 64)
space_region = Region()
space_mobject = MobjectFromRegion(space_region, DARK_GREY)
curve = PeanoCurve(order = 5).replace(space_mobject)
line = Line(5*LEFT, 5*RIGHT)
line.gradient_highlight(curve.start_color, curve.end_color)
for mob in grid, space_mobject:
mob.sort_points(np.linalg.norm)
infinitely = TextMobject("Infinitely")
detailed = TextMobject("detailed")
extending = TextMobject("extending")
detailed.next_to(infinitely, RIGHT)
extending.next_to(infinitely, RIGHT)
Mobject(extending, infinitely, detailed).center()
arrows = Mobject(*[
Arrow(2*p, 4*p)
for theta in np.arange(np.pi/6, 2*np.pi, np.pi/3)
for p in [rotate_vector(RIGHT, theta)]
])
self.add(grid)
self.dither()
self.play(Transform(grid, space_mobject, run_time = 5))
self.remove(grid)
self.highlight_region(space_region, DARK_GREY)
self.dither()
self.add(infinitely, detailed)
self.dither()
self.play(DelayByOrder(Transform(detailed, extending)))
self.play(ShowCreation(arrows))
self.dither()
self.clear()
self.highlight_region(space_region, DARK_GREY)
self.play(ShowCreation(line))
self.play(Transform(line, curve, run_time = 5))
