def construct(self):
big_grid_dim = 20.
small_grid_dim = 6.
big_grid = Grid(64, 64, height=big_grid_dim, width=big_grid_dim)
big_grid.to_corner(UP + RIGHT, buff=2)
small_grid = big_grid.copy()
small_grid.scale(small_grid_dim / big_grid_dim)
small_grid.center()
pixel = MobjectFromRegion(
region_from_polygon_vertices(
*0.2 *
np.array([RIGHT + DOWN, RIGHT + UP, LEFT + UP, LEFT + DOWN])))
pixel.set_color(WHITE)
pixel_width = big_grid.width / big_grid.columns
pixel.scale_to_fit_width(pixel_width)
pixel.to_corner(UP + RIGHT, buff=2)
pixel.shift(5 * pixel_width * (2 * LEFT + DOWN))
freq_line = get_freq_line()
dot = Dot()
dot.shift(freq_line.get_center() + 2 * RIGHT)
string = Line(LEFT, RIGHT, color=GREEN)
arrow = Arrow(dot, string.get_center())
vibration_config = {
"overtones": 1,
"spatial_period": 2,
}
vibration, loud_vibration, quiet_vibration = [
Vibrate(string.copy(), amplitude=a, **vibration_config)
for a in [0.5, 1., 0.25]
]
self.add(small_grid)
self.dither()
self.play(Transform(small_grid, big_grid))
self.play(FadeIn(pixel))
self.dither()
self.play(FadeOut(small_grid), ShowCreation(freq_line))
self.remove(small_grid)
self.play(Transform(pixel, dot), )
self.dither()
self.play(ShowCreation(arrow))
self.play(loud_vibration)
self.play(TransformAnimations(loud_vibration, quiet_vibration),
ApplyMethod(dot.fade, 0.9))
self.clear()
self.add(freq_line, dot, arrow)
self.play(quiet_vibration)
def label(self, text, time = 5):
mob = TextMobject(text)
mob.scale(1.5)
mob.to_edge(UP)
rectangle = region_from_polygon_vertices(*[
mob.get_corner(vect) + 0.3*vect
for vect in [
UP+RIGHT,
UP+LEFT,
DOWN+LEFT,
DOWN+RIGHT
]
])
mob.highlight(self.text_color)
rectangle = MobjectFromRegion(rectangle, "#111111")
rectangle.point_thickness = 3
self.add(rectangle, mob)
self.dither(time)
self.remove(mob, rectangle)
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):
big_grid_dim = 20.
small_grid_dim = 6.
big_grid = Grid(64, 64, height = big_grid_dim, width = big_grid_dim)
big_grid.to_corner(UP+RIGHT, buff = 2)
small_grid = big_grid.copy()
small_grid.scale(small_grid_dim/big_grid_dim)
small_grid.center()
pixel = MobjectFromRegion(
region_from_polygon_vertices(*0.2*np.array([
RIGHT+DOWN,
RIGHT+UP,
LEFT+UP,
LEFT+DOWN
]))
)
pixel.set_color(WHITE)
pixel_width = big_grid.width/big_grid.columns
pixel.scale_to_fit_width(pixel_width)
pixel.to_corner(UP+RIGHT, buff = 2)
pixel.shift(5*pixel_width*(2*LEFT+DOWN))
freq_line = get_freq_line()
dot = Dot()
dot.shift(freq_line.get_center() + 2*RIGHT)
string = Line(LEFT, RIGHT, color = GREEN)
arrow = Arrow(dot, string.get_center())
vibration_config = {
"overtones" : 1,
"spatial_period" : 2,
}
vibration, loud_vibration, quiet_vibration = [
Vibrate(string.copy(), amplitude = a, **vibration_config)
for a in [0.5, 1., 0.25]
]
self.add(small_grid)
self.dither()
self.play(
Transform(small_grid, big_grid)
)
self.play(FadeIn(pixel))
self.dither()
self.play(
FadeOut(small_grid),
ShowCreation(freq_line)
)
self.remove(small_grid)
self.play(
Transform(pixel, dot),
)
self.dither()
self.play(ShowCreation(arrow))
self.play(loud_vibration)
self.play(
TransformAnimations(loud_vibration, quiet_vibration),
ApplyMethod(dot.fade, 0.9)
)
self.clear()
self.add(freq_line, dot, arrow)
self.play(quiet_vibration)