class GrowToOrder8PseudoHilbertCurve(Scene):
def construct(self):
self.curve = HilbertCurve(order=1)
self.add(self.curve)
self.wait()
while self.curve.order < 8:
self.increase_order()
def increase_order(self):
mini_curves = [
self.curve.copy().scale(0.5).shift(1.5 * vect)
for vect in [LEFT + DOWN, LEFT + UP, RIGHT + UP, RIGHT + DOWN]
]
self.remove(self.curve)
self.play(Transform(self.curve.copy(), mini_curves[0]))
self.play(
*[GrowFromCenter(mini_curve) for mini_curve in mini_curves[1:]])
self.wait()
self.clear()
self.add(*mini_curves)
self.play(*[
ApplyMethod(curve.rotate_in_place, np.pi, axis)
for curve, axis in [(mini_curves[0],
UP + RIGHT), (mini_curves[3], UP + LEFT)]
])
self.curve = HilbertCurve(order=self.curve.order + 1)
self.play(ShowCreation(self.curve, run_time=2))
self.remove(*mini_curves)
self.wait()
def construct(self):
coords_set = [ORIGIN]
for n in range(int(FRAME_WIDTH)):
for vect in UP, RIGHT:
for k in range(n):
new_coords = coords_set[-1]+((-1)**n)*vect
coords_set.append(new_coords)
square = Square(side_length = 1, color = WHITE)
squares = Mobject(*[
square.copy().shift(coords)
for coords in coords_set
]).ingest_submobjects()
self.play(
DelayByOrder(FadeIn(squares)),
run_time = 3
)
curve = HilbertCurve(order = 6).scale(1./6)
all_curves = Mobject(*[
curve.copy().shift(coords)
for coords in coords_set
]).ingest_submobjects()
all_curves.thin_out(10)
self.play(ShowCreation(
all_curves,
rate_func = None,
run_time = 15
))
def construct(self):
curve = HilbertCurve(order = 6)
curve.set_color(WHITE)
colored_curve = curve.copy()
colored_curve.thin_out(3)
lion = ImageMobject("lion", invert = False)
lion.replace(curve, stretch = True)
sparce_lion = lion.copy()
sparce_lion.thin_out(100)
distance_matrix = cdist(colored_curve.points, sparce_lion.points)
closest_point_indices = np.apply_along_axis(
np.argmin, 1, distance_matrix
)
colored_curve.rgbas = sparce_lion.rgbas[closest_point_indices]
line = Line(5*LEFT, 5*RIGHT)
Mobject.align_data(line, colored_curve)
line.rgbas = colored_curve.rgbas
self.add(lion)
self.play(ShowCreation(curve, run_time = 3))
self.play(
FadeOut(lion),
Transform(curve, colored_curve),
run_time = 3
)
self.wait()
self.play(Transform(curve, line, run_time = 5))
self.wait()
def construct(self):
curve = HilbertCurve(order = 6)
curve.highlight(WHITE)
colored_curve = curve.copy()
colored_curve.thin_out(3)
lion = ImageMobject("lion", invert = False)
lion.replace(curve, stretch = True)
sparce_lion = lion.copy()
sparce_lion.thin_out(100)
distance_matrix = cdist(colored_curve.points, sparce_lion.points)
closest_point_indices = np.apply_along_axis(
np.argmin, 1, distance_matrix
)
colored_curve.rgbas = sparce_lion.rgbas[closest_point_indices]
line = Line(5*LEFT, 5*RIGHT)
Mobject.align_data(line, colored_curve)
line.rgbas = colored_curve.rgbas
self.add(lion)
self.play(ShowCreation(curve, run_time = 3))
self.play(
FadeOut(lion),
Transform(curve, colored_curve),
run_time = 3
)
self.wait()
self.play(Transform(curve, line, run_time = 5))
self.wait()
def construct(self):
coords_set = [ORIGIN]
for n in range(int(2*SPACE_WIDTH)):
for vect in UP, RIGHT:
for k in range(n):
new_coords = coords_set[-1]+((-1)**n)*vect
coords_set.append(new_coords)
square = Square(side_length = 1, color = WHITE)
squares = Mobject(*[
square.copy().shift(coords)
for coords in coords_set
]).ingest_submobjects()
self.play(
DelayByOrder(FadeIn(squares)),
run_time = 3
)
curve = HilbertCurve(order = 6).scale(1./6)
all_curves = Mobject(*[
curve.copy().shift(coords)
for coords in coords_set
]).ingest_submobjects()
all_curves.thin_out(10)
self.play(ShowCreation(
all_curves,
rate_func = None,
run_time = 15
))
class GrowToOrder8PseudoHilbertCurve(Scene):
def construct(self):
self.curve = HilbertCurve(order = 1)
self.add(self.curve)
self.dither()
while self.curve.order < 8:
self.increase_order()
def increase_order(self):
mini_curves = [
self.curve.copy().scale(0.5).shift(1.5*vect)
for vect in [
LEFT+DOWN,
LEFT+UP,
RIGHT+UP,
RIGHT+DOWN
]
]
self.remove(self.curve)
self.play(
Transform(self.curve.copy(), mini_curves[0])
)
self.play(*[
GrowFromCenter(mini_curve)
for mini_curve in mini_curves[1:]
])
self.dither()
self.clear()
self.add(*mini_curves)
self.play(*[
ApplyMethod(curve.rotate_in_place, np.pi, axis)
for curve, axis in [
(mini_curves[0], UP+RIGHT),
(mini_curves[3], UP+LEFT)
]
])
self.curve = HilbertCurve(order = self.curve.order+1)
self.play(ShowCreation(self.curve, run_time = 2))
self.remove(*mini_curves)
self.dither()
