def construct(self, with_words):
CycloidScene.construct(self)
randy = Randolph()
randy.scale(RANDY_SCALE_VAL)
randy.shift(-randy.get_bottom())
central_randy = randy.copy()
start_randy = self.adjust_mobject_to_index(
randy.copy(), 1, self.cycloid.points
)
if with_words:
words1 = TextMobject("Trajectory due to gravity")
arrow = TexMobject("\\leftrightarrow")
words2 = TextMobject("Trajectory due \\emph{constantly} rotating wheel")
words1.next_to(arrow, LEFT)
words2.next_to(arrow, RIGHT)
words = Mobject(words1, arrow, words2)
words.scale_to_fit_width(2*SPACE_WIDTH-1)
words.to_edge(UP, buff = 0.2)
words.to_edge(LEFT)
self.play(ShowCreation(self.cycloid.copy()))
self.slide(randy, self.cycloid)
self.add(self.slider)
self.dither()
self.grow_parts()
self.draw_cycloid()
self.dither()
self.play(Transform(self.slider, start_randy))
self.dither()
self.roll_back()
self.dither()
if with_words:
self.play(*map(ShimmerIn, [words1, arrow, words2]))
self.dither()
self.remove(self.circle)
start_time = len(self.frames)*self.frame_duration
self.remove(self.slider)
self.slide(central_randy, self.cycloid)
end_time = len(self.frames)*self.frame_duration
self.play_over_time_range(
start_time,
end_time,
RollAlongVector(
self.circle,
self.cycloid.points[-1]-self.cycloid.points[0],
run_time = end_time-start_time,
rate_func = None
)
)
self.add(self.circle, self.slider)
self.dither()
def construct(self, with_words):
CycloidScene.construct(self)
randy = Randolph()
randy.scale(RANDY_SCALE_FACTOR)
randy.shift(-randy.get_bottom())
central_randy = randy.copy()
start_randy = self.adjust_mobject_to_index(
randy.copy(), 1, self.cycloid.points
)
if with_words:
words1 = TextMobject("Trajectory due to gravity")
arrow = TexMobject("\\leftrightarrow")
words2 = TextMobject("Trajectory due \\emph{constantly} rotating wheel")
words1.next_to(arrow, LEFT)
words2.next_to(arrow, RIGHT)
words = Mobject(words1, arrow, words2)
words.scale_to_fit_width(2*SPACE_WIDTH-1)
words.to_edge(UP, buff = 0.2)
words.to_edge(LEFT)
self.play(ShowCreation(self.cycloid.copy()))
self.slide(randy, self.cycloid)
self.add(self.slider)
self.wait()
self.grow_parts()
self.draw_cycloid()
self.wait()
self.play(Transform(self.slider, start_randy))
self.wait()
self.roll_back()
self.wait()
if with_words:
self.play(*map(ShimmerIn, [words1, arrow, words2]))
self.wait()
self.remove(self.circle)
start_time = len(self.frames)*self.frame_duration
self.remove(self.slider)
self.slide(central_randy, self.cycloid)
end_time = len(self.frames)*self.frame_duration
self.play_over_time_range(
start_time,
end_time,
RollAlongVector(
self.circle,
self.cycloid.points[-1]-self.cycloid.points[0],
run_time = end_time-start_time,
rate_func = None
)
)
self.add(self.circle, self.slider)
self.wait()
def construct(self):
self.add_cycloid_end_points()
start = self.point_a.get_center()
end = self.point_b.get_center()
angle = 2 * np.pi / 3
path = Arc(angle, radius=3)
path.gradient_highlight(RED_D, WHITE)
radius = Line(ORIGIN, path.points[0])
randy = Randolph()
randy.scale(RANDY_SCALE_FACTOR)
randy.shift(-randy.get_bottom())
randy_copy = randy.copy()
words = TextMobject(
"Circular paths are good, \\\\ but still not the best")
words.shift(UP)
self.play(
ShowCreation(path),
ApplyMethod(radius.rotate, angle, path_func=path_along_arc(angle)))
self.play(FadeOut(radius))
self.play(ApplyMethod(path.position_endpoints_on,
start,
end,
path_func=path_along_arc(-angle)),
run_time=3)
self.adjust_mobject_to_index(randy_copy, 1, path.points)
self.play(FadeIn(randy_copy))
self.remove(randy_copy)
self.slide(randy, path)
self.play(ShimmerIn(words))
self.dither()
def construct(self):
randy = Randolph()
randy.shift(-randy.get_bottom())
self.slider = randy.copy()
randy.scale(RANDY_SCALE_VAL)
paths = self.get_paths()
point_a = Dot(paths[0].points[0])
point_b = Dot(paths[0].points[-1])
A = TexMobject("A").next_to(point_a, LEFT)
B = TexMobject("B").next_to(point_b, RIGHT)
for point, tex in [(point_a, A), (point_b, B)]:
self.play(ShowCreation(point))
self.play(ShimmerIn(tex))
self.dither()
curr_path = None
for path in paths:
new_slider = self.adjust_mobject_to_index(
randy.copy(), 1, path.points
)
if curr_path is None:
curr_path = path
self.play(ShowCreation(curr_path))
else:
self.play(Transform(curr_path, path))
self.play(Transform(self.slider, new_slider))
self.dither()
self.remove(self.slider)
self.slide(randy, curr_path)
self.clear()
self.add(point_a, point_b, A, B, curr_path)
text = self.get_text()
text.to_edge(UP)
self.play(ShimmerIn(text))
for path in paths:
self.play(Transform(
curr_path, path,
path_func = path_along_arc(np.pi/2),
run_time = 3
))
def construct(self):
randy = Randolph()
randy.shift(-randy.get_bottom())
self.slider = randy.copy()
randy.scale(RANDY_SCALE_FACTOR)
paths = self.get_paths()
point_a = Dot(paths[0].points[0])
point_b = Dot(paths[0].points[-1])
A = TexMobject("A").next_to(point_a, LEFT)
B = TexMobject("B").next_to(point_b, RIGHT)
for point, tex in [(point_a, A), (point_b, B)]:
self.play(ShowCreation(point))
self.play(ShimmerIn(tex))
self.wait()
curr_path = None
for path in paths:
new_slider = self.adjust_mobject_to_index(
randy.copy(), 1, path.points
)
if curr_path is None:
curr_path = path
self.play(ShowCreation(curr_path))
else:
self.play(Transform(curr_path, path))
self.play(Transform(self.slider, new_slider))
self.wait()
self.remove(self.slider)
self.slide(randy, curr_path)
self.clear()
self.add(point_a, point_b, A, B, curr_path)
text = self.get_text()
text.to_edge(UP)
self.play(ShimmerIn(text))
for path in paths:
self.play(Transform(
curr_path, path,
path_func = path_along_arc(np.pi/2),
run_time = 3
))
def construct(self):
self.add_cycloid_end_points()
start = self.point_a.get_center()
end = self.point_b.get_center()
angle = 2*np.pi/3
path = Arc(angle, radius = 3)
path.gradient_highlight(RED_D, WHITE)
radius = Line(ORIGIN, path.points[0])
randy = Randolph()
randy.scale(RANDY_SCALE_VAL)
randy.shift(-randy.get_bottom())
randy_copy = randy.copy()
words = TextMobject("Circular paths are good, \\\\ but still not the best")
words.shift(UP)
self.play(
ShowCreation(path),
ApplyMethod(
radius.rotate,
angle,
path_func = path_along_arc(angle)
)
)
self.play(FadeOut(radius))
self.play(
ApplyMethod(
path.position_endpoints_on, start, end,
path_func = path_along_arc(-angle)
),
run_time = 3
)
self.adjust_mobject_to_index(randy_copy, 1, path.points)
self.play(FadeIn(randy_copy))
self.remove(randy_copy)
self.slide(randy, path)
self.play(ShimmerIn(words))
self.dither()
