def generate_points(self):
for vect in IN, OUT, LEFT, RIGHT, UP, DOWN:
face = Square(side_length=self.side_length)
face.shift(self.side_length * OUT / 2.0)
face.apply_function(lambda p: np.dot(p, z_to_vector(vect).T))
self.add(face)
def generate_points(self):
for vect in IN, OUT, LEFT, RIGHT, UP, DOWN:
face = Square(side_length = self.side_length)
face.shift(self.side_length*OUT/2.0)
face.apply_function(lambda p : np.dot(p, z_to_vector(vect).T))
self.add(face)
def construct(self):
curve = HilbertCurve(order=1)
grid = Grid(2, 2, stroke_width=1)
self.add(grid, curve)
for order in range(2, 6):
self.dither()
new_grid = Grid(2**order, 2**order, stroke_width=1)
self.play(ShowCreation(new_grid), Animation(curve))
self.remove(grid)
grid = new_grid
self.play(Transform(curve, HilbertCurve(order=order)))
square = Square(side_length=6, color=WHITE)
square.corner = Mobject1D()
square.corner.add_line(3 * DOWN, ORIGIN)
square.corner.add_line(ORIGIN, 3 * RIGHT)
square.digest_mobject_attrs()
square.scale(2**(-5))
square.corner.highlight(
Color(rgb=curve.rgbs[curve.get_num_points() / 3]))
square.shift(
grid.get_corner(UP+LEFT)-\
square.get_corner(UP+LEFT)
)
self.dither()
self.play(FadeOut(grid), FadeOut(curve), FadeIn(square))
self.play(ApplyMethod(square.replace, grid))
self.dither()
def add_unit_square(self, color=YELLOW, opacity=0.3, animate=False):
square = Square(color=color, side_length=1)
square.shift(-square.get_corner(DOWN + LEFT))
if animate:
added_anims = map(Animation, self.moving_vectors)
self.play(ShowCreation(square), *added_anims)
self.play(square.set_fill, color, opacity, *added_anims)
else:
square.set_fill(color, opacity)
self.add_transformable_mobject(square)
self.bring_to_front(*self.moving_vectors)
self.square = square
return self
def add_unit_square(self, color = YELLOW, opacity = 0.3, animate = False):
square = Square(color = color, side_length = 1)
square.shift(-square.get_corner(DOWN+LEFT))
if animate:
added_anims = map(Animation, self.moving_vectors)
self.play(ShowCreation(square), *added_anims)
self.play(square.set_fill, color, opacity, *added_anims)
else:
square.set_fill(color, opacity)
self.add_transformable_mobject(square)
self.bring_to_front(*self.moving_vectors)
self.square = square
return self
def construct(self):
curve = HilbertCurve(order = 1)
grid = Grid(2, 2, point_thickness=1)
self.add(grid, curve)
for order in range(2, 6):
self.dither()
new_grid = Grid(2**order, 2**order, point_thickness=1)
self.play(
ShowCreation(new_grid),
Animation(curve)
)
self.remove(grid)
grid = new_grid
self.play(Transform(
curve, HilbertCurve(order = order)
))
square = Square(side_length = 6, color = WHITE)
square.corner = Mobject1D()
square.corner.add_line(3*DOWN, ORIGIN)
square.corner.add_line(ORIGIN, 3*RIGHT)
square.digest_mobject_attrs()
square.scale(2**(-5))
square.corner.highlight(
Color(rgb = curve.rgbs[curve.get_num_points()/3])
)
square.shift(
grid.get_corner(UP+LEFT)-\
square.get_corner(UP+LEFT)
)
self.dither()
self.play(
FadeOut(grid),
FadeOut(curve),
FadeIn(square)
)
self.play(
ApplyMethod(square.replace, grid)
)
self.dither()
