def construct(self):
grid = get_grid()
grid.sort_points(np.linalg.norm)
freq_line = get_freq_line()
freq_line.sort_points(lambda p : p[0])
red, blue = Color(RED), Color(BLUE)
freq_line.gradient_highlight(red, blue)
colors = [
Color(rgb = interpolate(
np.array(red.rgb),
np.array(blue.rgb),
alpha
))
for alpha in np.arange(4)/3.
]
string = Line(3*LEFT, 3*RIGHT, color = colors[1])
vibration = Vibrate(string)
vibration_copy = vibration.copy()
vibration_copy.mobject.stroke_width = 1
sub_vibrations = [
Vibrate(
string.copy().shift((n-1)*UP).highlight(colors[n]),
overtones = 1,
spatial_period = 6./(n+1),
temporal_period = 1./(n+1),
amplitude = 0.5/(n+1)
)
for n in range(4)
]
words = TexMobject("&\\vdots \\\\ \\text{thousands }& \\text{of frequencies} \\\\ &\\vdots")
words.to_edge(UP, buff = 0.1)
self.add(grid)
self.dither()
self.play(DelayByOrder(ApplyMethod(
grid.gradient_highlight, red, blue
)))
self.play(Transform(grid, freq_line))
self.dither()
self.play(
ShimmerIn(
words,
rate_func = squish_rate_func(smooth, 0, 0.2)
),
*sub_vibrations,
run_time = 5
)
self.play(
*[
TransformAnimations(
sub_vib, vibration
)
for sub_vib in sub_vibrations
]+[FadeOut(words)]
)
self.clear()
self.add(freq_line)
self.play(vibration)
def add_treds_to_tires(self):
for tire in self.get_tires():
radius = tire.get_width() / 2
center = tire.get_center()
tred = Line(0.9 * radius * RIGHT,
1.4 * radius * RIGHT,
stroke_width=2,
color=BLACK)
tred.rotate_in_place(np.pi / 4)
for theta in np.arange(0, 2 * np.pi, np.pi / 4):
new_tred = tred.copy()
new_tred.rotate(theta, about_point=ORIGIN)
new_tred.shift(center)
tire.add(new_tred)
return self
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 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)
