def __init__(self, **kwargs):
digest_config(self, kwargs)
if self.leftmost_tick is None:
self.leftmost_tick = -int(self.numerical_radius - self.number_at_center)
self.left_num = self.number_at_center - self.numerical_radius
self.right_num = self.number_at_center + self.numerical_radius
Mobject1D.__init__(self, **kwargs)
def __init__(self, **kwargs):
digest_config(self, kwargs)
if self.leftmost_tick is None:
self.leftmost_tick = -int(self.numerical_radius -
self.number_at_center)
self.left_num = self.number_at_center - self.numerical_radius
self.right_num = self.number_at_center + self.numerical_radius
Mobject1D.__init__(self, **kwargs)
def __init__(self,
radius = SPACE_WIDTH+1,
interval_size = 0.5, tick_size = 0.1,
*args, **kwargs):
self.radius = int(radius)
self.interval_size = interval_size
self.tick_size = tick_size
Mobject1D.__init__(self, *args, **kwargs)
def __init__(self,
radius = max(SPACE_HEIGHT, SPACE_WIDTH),
interval_size = 1.0,
subinterval_size = 0.5,
*args, **kwargs):
self.radius = radius
self.interval_size = interval_size
self.subinterval_size = subinterval_size
Mobject1D.__init__(self, *args, **kwargs)
def __init__(self, center = (0, 0, 0), radius = DEFAULT_RADIUS, *args, **kwargs):
center = np.array(center)
if center.size == 1:
raise Exception("Center must have 2 or 3 coordinates!")
elif center.size == 2:
center = np.append(center, [0])
self.center_point = center
self.radius = radius
Mobject1D.__init__(self, *args, **kwargs)
def __init__(self,
start,
end,
density=DEFAULT_POINT_DENSITY_1D,
*args,
**kwargs):
self.start = np.array(start)
self.end = np.array(end)
density *= max(self.get_length(), 0.1)
Mobject1D.__init__(self, density=density, *args, **kwargs)
def __init__(self,
center=(0, 0, 0),
radius=DEFAULT_RADIUS,
*args,
**kwargs):
center = np.array(center)
if center.size == 1:
raise Exception("Center must have 2 or 3 coordinates!")
elif center.size == 2:
center = np.append(center, [0])
self.center_point = center
self.radius = radius
Mobject1D.__init__(self, *args, **kwargs)
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 generate_discrete_path(self):
points = self.cycloid.points
tops = list(self.layer_tops)
tops.append(tops[-1]-self.layer_thickness)
indices = [
np.argmin(np.abs(points[:, 1]-top))
for top in tops
]
self.bend_points = points[indices[1:-1]]
self.path_angles = []
self.discrete_path = Mobject1D(
color = YELLOW,
density = 3*DEFAULT_POINT_DENSITY_1D
)
for start, end in zip(indices, indices[1:]):
start_point, end_point = points[start], points[end]
self.discrete_path.add_line(
start_point, end_point
)
self.path_angles.append(
angle_of_vector(start_point-end_point)-np.pi/2
)
self.discrete_path.add_line(
points[end], SPACE_WIDTH*RIGHT+(self.layer_tops[-1]-1)*UP
)
def __init__(self,
point = (0, 0, 0),
direction = (-1, 1, 0),
tail = None,
length = 1,
tip_length = 0.25,
normal = (0, 0, 1),
density = DEFAULT_POINT_DENSITY_1D,
*args, **kwargs):
self.point = np.array(point)
if tail is not None:
direction = self.point - tail
length = np.linalg.norm(direction)
self.direction = np.array(direction) / np.linalg.norm(direction)
density *= max(length, 0.1)
self.length = length
self.normal = np.array(normal)
self.tip_length = tip_length
Mobject1D.__init__(self, density = density, **kwargs)
def __init__(self,
point=(0, 0, 0),
direction=(-1, 1, 0),
tail=None,
length=1,
tip_length=0.25,
normal=(0, 0, 1),
density=DEFAULT_POINT_DENSITY_1D,
*args,
**kwargs):
self.point = np.array(point)
if tail is not None:
direction = self.point - tail
length = np.linalg.norm(direction)
self.direction = np.array(direction) / np.linalg.norm(direction)
density *= max(length, 0.1)
self.length = length
self.normal = np.array(normal)
self.tip_length = tip_length
Mobject1D.__init__(self, density=density, **kwargs)
def generate_discrete_path(self):
points = self.cycloid.points
tops = [mob.get_top()[1] for mob in self.layers]
tops.append(tops[-1] - self.layers[0].get_height())
indices = [np.argmin(np.abs(points[:, 1] - top)) for top in tops]
self.bend_points = points[indices[1:-1]]
self.path_angles = []
self.discrete_path = Mobject1D(color=WHITE,
density=3 * DEFAULT_POINT_DENSITY_1D)
for start, end in zip(indices, indices[1:]):
start_point, end_point = points[start], points[end]
self.discrete_path.add_line(start_point, end_point)
self.path_angles.append(
angle_of_vector(start_point - end_point) - np.pi / 2)
self.discrete_path.add_line(
points[end], SPACE_WIDTH * RIGHT + (tops[-1] - 0.5) * UP)
def __init__(self, radius = 1.0, **kwargs):
self.radius = radius
Mobject1D.__init__(self, **kwargs)
def __init__(self, start, end, **kwargs):
self.set_start_and_end(start, end)
Mobject1D.__init__(self, **kwargs)
def __init__(self, function, **kwargs):
self.function = function
Mobject1D.__init__(self, **kwargs)
def __init__(self, center_point = ORIGIN, **kwargs):
digest_locals(self)
Mobject1D.__init__(self, **kwargs)
def __init__(self, radius=1.0, **kwargs):
self.radius = radius
Mobject1D.__init__(self, **kwargs)
def __init__(self, rows, columns, **kwargs):
digest_config(self, kwargs, locals())
Mobject1D.__init__(self, **kwargs)
def __init__(self, *vertices, **kwargs):
assert len(vertices) > 1
digest_locals(self)
Mobject1D.__init__(self, **kwargs)
def __init__(self, *points, **kwargs):
assert len(points) > 1
digest_locals(self)
Mobject1D.__init__(self, **kwargs)
def __init__(self, function, x_range = [-10, 10], *args, **kwargs):
self.function = function
self.x_min = x_range[0] / SPACE_WIDTH
self.x_max = x_range[1] / SPACE_WIDTH
Mobject1D.__init__(self, *args, **kwargs)
def __init__(self, height=2.0, width=2.0, **kwargs):
self.height, self.width = height, width
Mobject1D.__init__(self, **kwargs)
def __init__(self, height = 2.0, width = 2.0, **kwargs):
self.height, self.width = height, width
Mobject1D.__init__(self, **kwargs)
def __init__(self, start, end, **kwargs):
digest_config(self, kwargs)
self.set_start_and_end(start, end)
Mobject1D.__init__(self, **kwargs)
def __init__(self, function, **kwargs):
self.function = function
Mobject1D.__init__(self, **kwargs)
def __init__(self, start, end, density = DEFAULT_POINT_DENSITY_1D, *args, **kwargs):
self.start = np.array(start)
self.end = np.array(end)
density *= max(self.get_length(), 0.1)
Mobject1D.__init__(self, density = density, *args, **kwargs)
def __init__(self, angle, **kwargs):
digest_locals(self)
Mobject1D.__init__(self, **kwargs)