def construct(self):
ShowRearrangementInBigSquare.construct(self)
self.highlight_region(region_from_polygon_vertices(
2 * (LEFT + UP), 2 * LEFT + DOWN, RIGHT + DOWN, RIGHT + 2 * UP),
color=B_COLOR)
self.highlight_region(region_from_polygon_vertices(
RIGHT + DOWN, RIGHT + 2 * DOWN, 2 * RIGHT + 2 * DOWN,
2 * RIGHT + DOWN),
color=A_COLOR)
def construct(self):
ShowRearrangementInBigSquare.construct(self)
self.highlight_region(
region_from_polygon_vertices(2 * (LEFT + UP), 2 * LEFT + DOWN, RIGHT + DOWN, RIGHT + 2 * UP), color=B_COLOR
)
self.highlight_region(
region_from_polygon_vertices(RIGHT + DOWN, RIGHT + 2 * DOWN, 2 * RIGHT + 2 * DOWN, 2 * RIGHT + DOWN),
color=A_COLOR,
)
def highlight_triangles(self):
for mob in self.mobjects:
if isinstance(mob, Triangle):
vertices = list(mob.get_vertices())
for x in range(2):
self.highlight_region(region_from_polygon_vertices(*vertices), color=DARK_BLUE)
vertices.reverse() # silly hack
def construct(self, num, fill):
DrawAllThreeSquares.construct(self)
pairs = [
((0, 2, 0), (1, -1, 0)),
((-3, -1, 0), (0, -2, 0)),
((4, -1, 0), (1, -2, 0)),
((0, -2, 0), (-3, -1, 0)),
((1, -2, 0), (4, -1, 0)),
((1, -1, 0), (4, 0, 0)),
((4, 0, 0), (3, 3, 0)),
((3, 3, 0), (0, 2, 0)),
((-3, 3, 0), (0, 2, 0)),
((0, 2, 0), (-3, 3, 0)),
]
to_flip = [1, 3, 8, 9]
for n in range(num):
triangle = Triangle()
if n in to_flip:
triangle.rotate(np.pi, UP)
self.add(triangle.place_hypotenuse_on(*pairs[n]))
vertices = list(triangle.get_vertices())
if n not in to_flip:
vertices.reverse()
if fill:
self.highlight_region(region_from_polygon_vertices(*vertices), color=DARK_BLUE)
def construct(self, *args):
DrawAllThreeSquaresWithMoreTriangles.construct(self, *args)
args_list = [(10, False)]
color = Color("yellow")
color.set_rgb(0.3 * np.array(color.get_rgb()))
self.highlight_region(region_from_polygon_vertices((-3, 3), (-3, -2),
(4, -2), (4, 3)),
color=color)
def highlight_triangles(self):
for mob in self.mobjects:
if isinstance(mob, Triangle):
vertices = list(mob.get_vertices())
for x in range(2):
self.highlight_region(
region_from_polygon_vertices(*vertices),
color=DARK_BLUE)
vertices.reverse() #silly hack
def construct(self, *args):
AddParallelLines.construct(self, *args)
triplets = [
[(0, 2), (0, -1), (1, -1)],
[(1, -1), (4, -1), (4, 0)],
[(4, 0), (4, 3), (3, 3)],
[(3, 3), (0, 3), (0, 2)],
]
for triplet in triplets:
self.highlight_region(region_from_polygon_vertices(*triplet), color="DARK_BLUE")
def construct(self, *args):
AddParallelLines.construct(self, *args)
triplets = [
[(0, 2), (0, -1), (1, -1)],
[(1, -1), (4, -1), (4, 0)],
[(4, 0), (4, 3), (3, 3)],
[(3, 3), (0, 3), (0, 2)],
]
for triplet in triplets:
self.highlight_region(region_from_polygon_vertices(*triplet),
color="DARK_BLUE")
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, num, fill):
DrawAllThreeSquares.construct(self)
pairs = [((0, 2, 0), (1, -1, 0)), ((-3, -1, 0), (0, -2, 0)),
((4, -1, 0), (1, -2, 0)), ((0, -2, 0), (-3, -1, 0)),
((1, -2, 0), (4, -1, 0)), ((1, -1, 0), (4, 0, 0)),
((4, 0, 0), (3, 3, 0)), ((3, 3, 0), (0, 2, 0)),
((-3, 3, 0), (0, 2, 0)), ((0, 2, 0), (-3, 3, 0))]
to_flip = [1, 3, 8, 9]
for n in range(num):
triangle = Triangle()
if n in to_flip:
triangle.rotate(np.pi, UP)
self.add(triangle.place_hypotenuse_on(*pairs[n]))
vertices = list(triangle.get_vertices())
if n not in to_flip:
vertices.reverse()
if fill:
self.highlight_region(region_from_polygon_vertices(*vertices),
color=DARK_BLUE)
def construct(self, *args):
DrawCSquareWithAllTraingles.construct(self, *args)
self.highlight_region(region_from_polygon_vertices(*c_square().center().get_vertices()), color=YELLOW)
def construct(self, *args):
DrawAllThreeSquaresWithMoreTriangles.construct(self, *args)
args_list = [(10, False)]
color = Color("yellow")
color.set_rgb(0.3 * np.array(color.get_rgb()))
self.highlight_region(region_from_polygon_vertices((-3, 3), (-3, -2), (4, -2), (4, 3)), color=color)
def construct(self, *args):
DrawCSquareWithAllTraingles.construct(self, *args)
self.highlight_region(
region_from_polygon_vertices(*c_square().center().get_vertices()),
color=YELLOW)
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)
