def construct(self):
self.force_skipping()
conversation = Conversation(self)
conversation.add_bubble("A co sjednotit všechny ordinály?")
self.revert_to_original_skipping_status()
forti_pic = ImageMobject("BuraliForti1.jpg", use_cache = False)
forti_pic.scale(0.43)
forti_pic.to_corner(UP+LEFT)
ordinal_class = OrdinalClass(color = BLUE).shift(UP)
ordinal_class.next_to(forti_pic, coor_mask = X_MASK)
num = 7
subordinals = VGroup([ordinal_class.copy() for _ in range(num)])
for subord, x in zip(subordinals, np.linspace(0.3, 1, num)):
i = int(x*len(subord.line))
subord.line.remove(*subord.line[i:])
lines_dest = VGroup([subord.line for subord in subordinals]).copy()
bars_dest = VGroup([subord.bars for subord in subordinals]).copy()
subordinals.arrange_submobjects(UP, False, coor_mask = Y_MASK)
subordinals.next_to(conversation.dialog, UP, coor_mask = Y_MASK)
lines = VGroup([subord.line for subord in subordinals])
bars = VGroup([subord.bars for subord in subordinals])
self.wait_to(3)
self.play(FadeIn(subordinals))
self.wait_to(4.5)
self.play(
Transform(lines, lines_dest),
Transform(bars, bars_dest),
)
self.remove(subordinals)
self.add(ordinal_class)
self.wait_to(6)
conversation.add_bubble("Cesare Burali-Forti paradox")
next_bar = ordinal_class.bars[0][0].copy().next_to(ordinal_class)
next_bar.highlight(YELLOW)
self.wait_to(9)
self.play(ShowCreation(next_bar))
brace = BraceText(VGroup(ordinal_class, next_bar), "Nový ordinál", UP)
self.wait_to(15)
self.play(brace.creation_anim())
picture = VGroup(ordinal_class, brace, next_bar)
picture.save_state()
picture.next_to(forti_pic, coor_mask = X_MASK)
self.wait_to(29)
self.play(FadeIn(forti_pic))
self.wait_to(49)
self.play(*map(FadeOut, [
picture,
conversation.dialog,
forti_pic,
]))
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):
equation = TexMobject("2^{19} = " + "{:,}".format(2**19))
equation.scale_to_fit_width(SPACE_WIDTH)
equation.to_edge(DOWN, buff=LARGE_BUFF)
q_and_a = TextMobject("Q\\&A \\\\ Round 2")
q_and_a.gradient_highlight(BLUE, YELLOW)
q_and_a.scale_to_fit_width(SPACE_WIDTH)
q_and_a.to_edge(UP, buff=LARGE_BUFF)
eater = ImageMobject("eater", height=3)
eater.to_corner(UP + RIGHT, buff=0)
confetti_anims = get_confetti_animations(100)
for anim in confetti_anims:
anim.update(0.5)
confetti = VGroup(*[a.mobject for a in confetti_anims])
self.add(equation, q_and_a, eater)
def construct(self):
clock = Circle(radius=2, color=WHITE)
clock.add(Dot(ORIGIN))
ticks = Mobject(*[
Line(1.8 * vect, 2 * vect, color=GREY)
for vect in compass_directions(12)
])
clock.add(ticks)
hour_hand = Line(ORIGIN, UP)
minute_hand = Line(ORIGIN, 1.5 * UP)
clock.add(hour_hand, minute_hand)
clock.to_corner(UP + RIGHT)
hour_hand.get_center = lambda: clock.get_center()
minute_hand.get_center = lambda: clock.get_center()
solution = ImageMobject("Newton_brachistochrone_solution2",
use_cache=False)
solution.stroke_width = 3
solution.highlight(GREY)
solution.scale_to_fit_width(5)
solution.to_corner(UP + RIGHT)
newton = ImageMobject("Old_Newton", invert=False)
newton.scale(0.8)
phil_trans = TextMobject("Philosophical Transactions")
rect = Rectangle(height=6, width=4.5, color=WHITE)
rect.to_corner(UP + RIGHT)
rect.shift(DOWN)
phil_trans.scale_to_fit_width(0.8 * rect.get_width())
phil_trans.next_to(Point(rect.get_top()), DOWN)
new_solution = solution.copy()
new_solution.scale_to_fit_width(phil_trans.get_width())
new_solution.next_to(phil_trans, DOWN, buff=1)
not_newton = TextMobject("-Totally not by Newton")
not_newton.scale_to_fit_width(2.5)
not_newton.next_to(new_solution, DOWN, aligned_edge=RIGHT)
phil_trans.add(rect)
newton_complaint = TextMobject([
"``I do not love to be", " \\emph{dunned} ",
"and teased by foreigners''"
],
size="\\small")
newton_complaint.to_edge(UP, buff=0.2)
dunned = newton_complaint.split()[1]
dunned.highlight()
dunned_def = TextMobject(
"(old timey term for making \\\\ demands on someone)")
dunned_def.scale(0.7)
dunned_def.next_to(phil_trans, LEFT)
dunned_def.shift(2 * UP)
dunned_arrow = Arrow(dunned_def, dunned)
johann = ImageMobject("Johann_Bernoulli2", invert=False)
johann.scale(0.4)
johann.to_edge(LEFT)
johann.shift(DOWN)
johann_quote = TextMobject("``I recognize the lion by his claw''")
johann_quote.next_to(johann, UP, aligned_edge=LEFT)
self.play(ApplyMethod(newton.to_edge, LEFT))
self.play(ShowCreation(clock))
kwargs = {"axis": OUT, "rate_func": smooth}
self.play(Rotating(hour_hand, radians=-2 * np.pi, **kwargs),
Rotating(minute_hand, radians=-12 * 2 * np.pi, **kwargs),
run_time=5)
self.wait()
self.clear()
self.add(newton)
clock.ingest_submobjects()
self.play(Transform(clock, solution))
self.remove(clock)
self.add(solution)
self.wait()
self.play(FadeIn(phil_trans), Transform(solution, new_solution))
self.wait()
self.play(ShimmerIn(not_newton))
phil_trans.add(solution, not_newton)
self.wait()
self.play(*map(ShimmerIn, newton_complaint.split()))
self.wait()
self.play(ShimmerIn(dunned_def), ShowCreation(dunned_arrow))
self.wait()
self.remove(dunned_def, dunned_arrow)
self.play(FadeOut(newton_complaint))
self.remove(newton_complaint)
self.play(FadeOut(newton), GrowFromCenter(johann))
self.remove(newton)
self.wait()
self.play(ShimmerIn(johann_quote))
self.wait()
def construct(self):
clock = Circle(radius = 2, color = WHITE)
clock.add(Dot(ORIGIN))
ticks = Mobject(*[
Line(1.8*vect, 2*vect, color = GREY)
for vect in compass_directions(12)
])
clock.add(ticks)
hour_hand = Line(ORIGIN, UP)
minute_hand = Line(ORIGIN, 1.5*UP)
clock.add(hour_hand, minute_hand)
clock.to_corner(UP+RIGHT)
hour_hand.get_center = lambda : clock.get_center()
minute_hand.get_center = lambda : clock.get_center()
solution = ImageMobject(
"Newton_brachistochrone_solution2",
use_cache = False
)
solution.stroke_width = 3
solution.highlight(GREY)
solution.scale_to_fit_width(5)
solution.to_corner(UP+RIGHT)
newton = ImageMobject("Old_Newton", invert = False)
newton.scale(0.8)
phil_trans = TextMobject("Philosophical Transactions")
rect = Rectangle(height = 6, width = 4.5, color = WHITE)
rect.to_corner(UP+RIGHT)
rect.shift(DOWN)
phil_trans.scale_to_fit_width(0.8*rect.get_width())
phil_trans.next_to(Point(rect.get_top()), DOWN)
new_solution = solution.copy()
new_solution.scale_to_fit_width(phil_trans.get_width())
new_solution.next_to(phil_trans, DOWN, buff = 1)
not_newton = TextMobject("-Totally not by Newton")
not_newton.scale_to_fit_width(2.5)
not_newton.next_to(new_solution, DOWN, aligned_edge = RIGHT)
phil_trans.add(rect)
newton_complaint = TextMobject([
"``I do not love to be",
" \\emph{dunned} ",
"and teased by foreigners''"
], size = "\\small")
newton_complaint.to_edge(UP, buff = 0.2)
dunned = newton_complaint.split()[1]
dunned.highlight()
dunned_def = TextMobject("(old timey term for making \\\\ demands on someone)")
dunned_def.scale(0.7)
dunned_def.next_to(phil_trans, LEFT)
dunned_def.shift(2*UP)
dunned_arrow = Arrow(dunned_def, dunned)
johann = ImageMobject("Johann_Bernoulli2", invert = False)
johann.scale(0.4)
johann.to_edge(LEFT)
johann.shift(DOWN)
johann_quote = TextMobject("``I recognize the lion by his claw''")
johann_quote.next_to(johann, UP, aligned_edge = LEFT)
self.play(ApplyMethod(newton.to_edge, LEFT))
self.play(ShowCreation(clock))
kwargs = {
"axis" : OUT,
"rate_func" : smooth
}
self.play(
Rotating(hour_hand, radians = -2*np.pi, **kwargs),
Rotating(minute_hand, radians = -12*2*np.pi, **kwargs),
run_time = 5
)
self.dither()
self.clear()
self.add(newton)
clock.ingest_submobjects()
self.play(Transform(clock, solution))
self.remove(clock)
self.add(solution)
self.dither()
self.play(
FadeIn(phil_trans),
Transform(solution, new_solution)
)
self.dither()
self.play(ShimmerIn(not_newton))
phil_trans.add(solution, not_newton)
self.dither()
self.play(*map(ShimmerIn, newton_complaint.split()))
self.dither()
self.play(
ShimmerIn(dunned_def),
ShowCreation(dunned_arrow)
)
self.dither()
self.remove(dunned_def, dunned_arrow)
self.play(FadeOut(newton_complaint))
self.remove(newton_complaint)
self.play(
FadeOut(newton),
GrowFromCenter(johann)
)
self.remove(newton)
self.dither()
self.play(ShimmerIn(johann_quote))
self.dither()
