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 construct(self):
string = Vibrate(color = BLUE_D, run_time = 5)
picture = ImageMobject("lion", invert = False)
picture.scale(0.8)
picture_copy = picture.copy()
picture.sort_points(np.linalg.norm)
string.mobject.sort_points(lambda p : -np.linalg.norm(p))
self.add(picture)
self.dither()
self.play(Transform(
picture, string.mobject,
run_time = 3,
rate_func = rush_into
))
self.remove(picture)
self.play(string)
for mob in picture_copy, string.mobject:
mob.sort_points(lambda p : np.linalg.norm(p)%1)
self.play(Transform(
string.mobject, picture_copy,
run_time = 5,
rate_func = rush_from
))
def construct(self):
overtones = 5
floor = 2 * DOWN
main_string = Vibrate(color=BLUE_D)
component_strings = [
Vibrate(num_periods=k + 1,
overtones=1,
color=color,
center=2 * DOWN + UP * k)
for k, color in zip(range(overtones),
Color(BLUE_E).range_to(WHITE, overtones))
]
dots = [
Dot(string.mobject.get_center(), color=string.mobject.get_color())
for string in component_strings
]
freq_line = get_freq_line()
freq_line.shift(floor)
freq_line.sort_points(np.linalg.norm)
brace = Brace(freq_line, UP)
words = TextMobject("Range of frequency values")
words.next_to(brace, UP)
self.play(*[
TransformAnimations(main_string.copy(), string, run_time=5)
for string in component_strings
])
self.clear()
self.play(*[
TransformAnimations(string, Animation(dot))
for string, dot in zip(component_strings, dots)
])
self.clear()
self.play(
ShowCreation(freq_line), GrowFromCenter(brace), ShimmerIn(words),
*[
Transform(dot,
dot.copy().scale(2).rotate(-np.pi / 2).shift(floor),
path_func=path_along_arc(np.pi / 3)) for dot in dots
])
self.dither(0.5)
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)
def construct(self):
overtones = 5
floor = 2*DOWN
main_string = Vibrate(color = BLUE_D)
component_strings = [
Vibrate(
num_periods = k+1,
overtones = 1,
color = color,
center = 2*DOWN + UP*k
)
for k, color in zip(
range(overtones),
Color(BLUE_E).range_to(WHITE, overtones)
)
]
dots = [
Dot(
string.mobject.get_center(),
color = string.mobject.get_color()
)
for string in component_strings
]
freq_line = get_freq_line()
freq_line.shift(floor)
freq_line.sort_points(np.linalg.norm)
brace = Brace(freq_line, UP)
words = TextMobject("Range of frequency values")
words.next_to(brace, UP)
self.play(*[
TransformAnimations(
main_string.copy(),
string,
run_time = 5
)
for string in component_strings
])
self.clear()
self.play(*[
TransformAnimations(
string,
Animation(dot)
)
for string, dot in zip(component_strings, dots)
])
self.clear()
self.play(
ShowCreation(freq_line),
GrowFromCenter(brace),
ShimmerIn(words),
*[
Transform(
dot,
dot.copy().scale(2).rotate(-np.pi/2).shift(floor),
path_func = path_along_arc(np.pi/3)
)
for dot in dots
]
)
self.dither(0.5)
