def construct(self):
dated_events = [
{
"date" : 1696,
"text": "Johann Bernoulli poses Brachistochrone problem",
"picture" : "Johann_Bernoulli2"
},
{
"date" : 1662,
"text" : "Fermat states his principle of least time",
"picture" : "Pierre_de_Fermat"
}
]
speical_dates = [2016] + [
obj["date"] for obj in dated_events
]
centuries = range(1600, 2100, 100)
timeline = NumberLine(
numerical_radius = 300,
number_at_center = 1800,
unit_length_to_spatial_width = SPACE_WIDTH/100,
tick_frequency = 10,
numbers_with_elongated_ticks = centuries
)
timeline.add_numbers(*centuries)
centers = [
Point(timeline.number_to_point(year))
for year in speical_dates
]
timeline.add(*centers)
timeline.shift(-centers[0].get_center())
self.add(timeline)
self.dither()
run_times = iter([3, 1])
for point, event in zip(centers[1:], dated_events):
self.play(ApplyMethod(
timeline.shift, -point.get_center(),
run_time = run_times.next()
))
picture = ImageMobject(event["picture"], invert = False)
picture.scale_to_fit_width(2)
picture.to_corner(UP+RIGHT)
event_mob = TextMobject(event["text"])
event_mob.shift(2*LEFT+2*UP)
date_mob = TexMobject(str(event["date"]))
date_mob.scale(0.5)
date_mob.shift(0.6*UP)
line = Line(event_mob.get_bottom(), 0.2*UP)
self.play(
ShimmerIn(event_mob),
ShowCreation(line),
ShimmerIn(date_mob)
)
self.play(FadeIn(picture))
self.dither(3)
self.play(*map(FadeOut, [event_mob, date_mob, line, picture]))
def construct(self):
old_newton = ImageMobject("Old_Newton", invert=False)
old_newton.scale(0.8)
self.add(old_newton)
self.freeze_background()
words = TextMobject("Note the displeasure")
words.to_corner(UP + RIGHT)
face_point = 1.8 * UP + 0.5 * LEFT
arrow = Arrow(words.get_bottom(), face_point)
self.play(ShimmerIn(words))
self.play(ShowCreation(arrow))
self.wait()
def construct(self):
horiz_radius = 5
vert_radius = 3
vert_axis = NumberLine(numerical_radius=vert_radius)
vert_axis.rotate(np.pi / 2)
vert_axis.shift(horiz_radius * LEFT)
horiz_axis = NumberLine(numerical_radius=5,
numbers_with_elongated_ticks=[])
axes = Mobject(horiz_axis, vert_axis)
graph = FunctionGraph(lambda x: 0.4 * (x - 2) * (x + 2) + 3,
x_min=-2,
x_max=2,
density=3 * DEFAULT_POINT_DENSITY_1D)
graph.stretch_to_fit_width(2 * horiz_radius)
graph.highlight(YELLOW)
min_point = Dot(graph.get_bottom())
nature_finds = TextMobject("Nature finds this point")
nature_finds.scale(0.5)
nature_finds.highlight(GREEN)
nature_finds.shift(2 * RIGHT + 3 * UP)
arrow = Arrow(nature_finds.get_bottom(), min_point, color=GREEN)
side_words_start = TextMobject("Parameter describing")
top_words, last_side_words = [
map(TextMobject, pair)
for pair in [("Light's travel time",
"Potential energy"), ("path", "mechanical state")]
]
for word in top_words + last_side_words + [side_words_start]:
word.scale(0.7)
side_words_start.next_to(horiz_axis, DOWN)
side_words_start.to_edge(RIGHT)
for words in top_words:
words.next_to(vert_axis, UP)
words.to_edge(LEFT)
for words in last_side_words:
words.next_to(side_words_start, DOWN)
for words in top_words[1], last_side_words[1]:
words.highlight(RED)
self.add(axes, top_words[0], side_words_start, last_side_words[0])
self.play(ShowCreation(graph))
self.play(ShimmerIn(nature_finds), ShowCreation(arrow),
ShowCreation(min_point))
self.dither()
self.play(FadeOut(top_words[0]), FadeOut(last_side_words[0]),
GrowFromCenter(top_words[1]),
GrowFromCenter(last_side_words[1]))
self.dither(3)
def construct(self):
old_newton = ImageMobject("Old_Newton", invert = False)
old_newton.scale(0.8)
self.add(old_newton)
self.freeze_background()
words = TextMobject("Note the displeasure")
words.to_corner(UP+RIGHT)
face_point = 1.8*UP+0.5*LEFT
arrow = Arrow(words.get_bottom(), face_point)
self.play(ShimmerIn(words))
self.play(ShowCreation(arrow))
self.dither()
def construct(self):
horiz_radius = 5
vert_radius = 3
vert_axis = NumberLine(numerical_radius = vert_radius)
vert_axis.rotate(np.pi/2)
vert_axis.shift(horiz_radius*LEFT)
horiz_axis = NumberLine(
numerical_radius = 5,
numbers_with_elongated_ticks = []
)
axes = Mobject(horiz_axis, vert_axis)
graph = FunctionGraph(
lambda x : 0.4*(x-2)*(x+2)+3,
x_min = -2,
x_max = 2,
density = 3*DEFAULT_POINT_DENSITY_1D
)
graph.stretch_to_fit_width(2*horiz_radius)
graph.highlight(YELLOW)
min_point = Dot(graph.get_bottom())
nature_finds = TextMobject("Nature finds this point")
nature_finds.scale(0.5)
nature_finds.highlight(GREEN)
nature_finds.shift(2*RIGHT+3*UP)
arrow = Arrow(
nature_finds.get_bottom(), min_point,
color = GREEN
)
side_words_start = TextMobject("Parameter describing")
top_words, last_side_words = [
map(TextMobject, pair)
for pair in [
("Light's travel time", "Potential energy"),
("path", "mechanical state")
]
]
for word in top_words + last_side_words + [side_words_start]:
word.scale(0.7)
side_words_start.next_to(horiz_axis, DOWN)
side_words_start.to_edge(RIGHT)
for words in top_words:
words.next_to(vert_axis, UP)
words.to_edge(LEFT)
for words in last_side_words:
words.next_to(side_words_start, DOWN)
for words in top_words[1], last_side_words[1]:
words.highlight(RED)
self.add(
axes, top_words[0], side_words_start,
last_side_words[0]
)
self.play(ShowCreation(graph))
self.play(
ShimmerIn(nature_finds),
ShowCreation(arrow),
ShowCreation(min_point)
)
self.dither()
self.play(
FadeOut(top_words[0]),
FadeOut(last_side_words[0]),
GrowFromCenter(top_words[1]),
GrowFromCenter(last_side_words[1])
)
self.dither(3)
def construct(self):
word = TextMobject(["Bra", "chis", "to", "chrone"])
original_word = word.copy()
dots = []
for part in word.split():
if dots:
part.next_to(dots[-1], buff=0.06)
dot = TexMobject("\\cdot")
dot.next_to(part, buff=0.06)
dots.append(dot)
dots = Mobject(*dots[:-1])
dots.shift(0.1 * DOWN)
Mobject(word, dots).center()
overbrace1 = Brace(Mobject(*word.split()[:-1]), UP)
overbrace2 = Brace(word.split()[-1], UP)
shortest = TextMobject("Shortest")
shortest.next_to(overbrace1, UP)
shortest.highlight(YELLOW)
time = TextMobject("Time")
time.next_to(overbrace2, UP)
time.highlight(YELLOW)
chrono_example = TextMobject("""
As in ``Chronological'' \\\\
or ``Synchronize''
""")
chrono_example.scale(0.5)
chrono_example.to_edge(RIGHT)
chrono_example.shift(2 * UP)
chrono_example.highlight(BLUE_D)
chrono_arrow = Arrow(word.get_right(),
chrono_example.get_bottom(),
color=BLUE_D)
brachy_example = TextMobject("As in . . . brachydactyly?")
brachy_example.scale(0.5)
brachy_example.to_edge(LEFT)
brachy_example.shift(2 * DOWN)
brachy_example.highlight(GREEN)
brachy_arrow = Arrow(word.get_left(),
brachy_example.get_top(),
color=GREEN)
pronunciation = TextMobject(
["/br", "e", "kist", "e", "kr$\\bar{o}$n/"])
pronunciation.split()[1].rotate_in_place(np.pi)
pronunciation.split()[3].rotate_in_place(np.pi)
pronunciation.scale(0.7)
pronunciation.shift(DOWN)
latin = TextMobject(list("Latin"))
greek = TextMobject(list("Greek"))
for mob in latin, greek:
mob.to_edge(LEFT)
question_mark = TextMobject("?").next_to(greek, buff=0.1)
stars = Stars().highlight(BLACK)
stars.scale(0.5).shift(question_mark.get_center())
self.play(Transform(original_word, word), ShowCreation(dots))
self.play(ShimmerIn(pronunciation))
self.dither()
self.play(GrowFromCenter(overbrace1), GrowFromCenter(overbrace2))
self.dither()
self.play(ShimmerIn(latin))
self.play(FadeIn(question_mark))
self.play(Transform(latin, greek, path_func=counterclockwise_path()))
self.dither()
self.play(Transform(question_mark, stars))
self.remove(stars)
self.dither()
self.play(ShimmerIn(shortest))
self.play(ShimmerIn(time))
for ex, ar in [(chrono_example, chrono_arrow),
(brachy_example, brachy_arrow)]:
self.play(ShowCreation(ar), ShimmerIn(ex))
self.dither()
def construct(self):
word = TextMobject(["Bra", "chis", "to", "chrone"])
original_word = word.copy()
dots = []
for part in word.split():
if dots:
part.next_to(dots[-1], buff = 0.06)
dot = TexMobject("\\cdot")
dot.next_to(part, buff = 0.06)
dots.append(dot)
dots = Mobject(*dots[:-1])
dots.shift(0.1*DOWN)
Mobject(word, dots).center()
overbrace1 = Brace(Mobject(*word.split()[:-1]), UP)
overbrace2 = Brace(word.split()[-1], UP)
shortest = TextMobject("Shortest")
shortest.next_to(overbrace1, UP)
shortest.highlight(YELLOW)
time = TextMobject("Time")
time.next_to(overbrace2, UP)
time.highlight(YELLOW)
chrono_example = TextMobject("""
As in ``Chronological'' \\\\
or ``Synchronize''
""")
chrono_example.scale(0.5)
chrono_example.to_edge(RIGHT)
chrono_example.shift(2*UP)
chrono_example.highlight(BLUE_D)
chrono_arrow = Arrow(
word.get_right(),
chrono_example.get_bottom(),
color = BLUE_D
)
brachy_example = TextMobject("As in . . . brachydactyly?")
brachy_example.scale(0.5)
brachy_example.to_edge(LEFT)
brachy_example.shift(2*DOWN)
brachy_example.highlight(GREEN)
brachy_arrow = Arrow(
word.get_left(),
brachy_example.get_top(),
color = GREEN
)
pronunciation = TextMobject(["/br", "e", "kist","e","kr$\\bar{o}$n/"])
pronunciation.split()[1].rotate_in_place(np.pi)
pronunciation.split()[3].rotate_in_place(np.pi)
pronunciation.scale(0.7)
pronunciation.shift(DOWN)
latin = TextMobject(list("Latin"))
greek = TextMobject(list("Greek"))
for mob in latin, greek:
mob.to_edge(LEFT)
question_mark = TextMobject("?").next_to(greek, buff = 0.1)
stars = Stars().highlight(BLACK)
stars.scale(0.5).shift(question_mark.get_center())
self.play(Transform(original_word, word), ShowCreation(dots))
self.play(ShimmerIn(pronunciation))
self.dither()
self.play(
GrowFromCenter(overbrace1),
GrowFromCenter(overbrace2)
)
self.dither()
self.play(ShimmerIn(latin))
self.play(FadeIn(question_mark))
self.play(Transform(
latin, greek,
path_func = counterclockwise_path()
))
self.dither()
self.play(Transform(question_mark, stars))
self.remove(stars)
self.dither()
self.play(ShimmerIn(shortest))
self.play(ShimmerIn(time))
for ex, ar in [(chrono_example, chrono_arrow), (brachy_example, brachy_arrow)]:
self.play(
ShowCreation(ar),
ShimmerIn(ex)
)
self.dither()
