def construct(self):
curve = HilbertCurve(order = 6)
curve.highlight(WHITE)
colored_curve = curve.copy()
colored_curve.thin_out(3)
lion = ImageMobject("lion", invert = False)
lion.replace(curve, stretch = True)
sparce_lion = lion.copy()
sparce_lion.thin_out(100)
distance_matrix = cdist(colored_curve.points, sparce_lion.points)
closest_point_indices = np.apply_along_axis(
np.argmin, 1, distance_matrix
)
colored_curve.rgbs = sparce_lion.rgbs[closest_point_indices]
line = Line(5*LEFT, 5*RIGHT)
Mobject.align_data(line, colored_curve)
line.rgbs = colored_curve.rgbs
self.add(lion)
self.play(ShowCreation(curve, run_time = 3))
self.play(
FadeOut(lion),
Transform(curve, colored_curve),
run_time = 3
)
self.dither()
self.play(Transform(curve, line, run_time = 5))
self.dither()
def __init__(self, **kwargs):
Mobject.__init__(self, **kwargs)
for part_name in self.PART_NAMES:
mob = ImageMobject(
part_name_to_directory(part_name),
should_center = False
)
if part_name not in self.WHITE_PART_NAMES:
mob.highlight(self.color)
setattr(self, part_name, mob)
self.eyes = Mobject(self.left_eye, self.right_eye)
self.legs = Mobject(self.left_leg, self.right_leg)
mouth_center = self.get_mouth_center()
self.mouth.center()
self.smile = self.mouth
self.frown = self.mouth.copy().rotate(np.pi, RIGHT)
self.straight_mouth = TexMobject("-").scale(0.7)
for mouth in self.smile, self.frown, self.straight_mouth:
mouth.sort_points(lambda p : p[0])
mouth.highlight(self.color) ##to blend into background
mouth.shift(mouth_center)
self.digest_mobject_attrs()
self.give_smile()
self.add(self.mouth)
self.scale(PI_CREATURE_SCALE_VAL)
def construct(self):
words = TextMobject("Yet another bit of Mark Levi cleverness")
words.to_edge(UP)
levi = ImageMobject("Mark_Levi", invert = False)
levi.scale_to_fit_width(6)
levi.show()
self.add(levi)
self.play(ShimmerIn(words))
self.dither(2)
def construct(self):
name = TextMobject("Steven Strogatz")
name.to_edge(UP)
contributions = TextMobject("Frequent Contributions")
contributions.scale(0.5).to_edge(RIGHT).shift(2 * UP)
books_word = TextMobject("Books")
books_word.scale(0.5).to_edge(LEFT).shift(2 * UP)
radio_lab, sci_fri, cornell, book2, book3, book4 = [
ImageMobject(filename, invert=False, filter_color=WHITE)
for filename in [
"radio_lab",
"science_friday",
"cornell",
"strogatz_book2",
"strogatz_book3",
"strogatz_book4",
]
]
book1 = ImageMobject("strogatz_book1", invert=False)
nyt = ImageMobject("new_york_times")
logos = [radio_lab, nyt, sci_fri]
books = [book1, book2, book3, book4]
sample_size = Square(side_length=2)
last = contributions
for image in logos:
image.replace(sample_size)
image.next_to(last, DOWN)
last = image
sci_fri.scale_in_place(0.9)
shift_val = 0
sample_size.scale(0.75)
for book in books:
book.replace(sample_size)
book.next_to(books_word, DOWN)
book.shift(shift_val * (RIGHT + DOWN))
shift_val += 0.5
sample_size.scale(2)
cornell.replace(sample_size)
cornell.next_to(name, DOWN)
self.add(name)
self.play(FadeIn(cornell))
self.play(ShimmerIn(books_word))
for book in books:
book.shift(5 * LEFT)
self.play(ApplyMethod(book.shift, 5 * RIGHT))
self.play(ShimmerIn(contributions))
for logo in logos:
self.play(FadeIn(logo))
self.wait()
def construct(self):
europe = ImageMobject("Europe", use_cache = False)
self.add(europe)
self.freeze_background()
mathematicians = [
("Newton", [-1.75, -0.75, 0]),
("Jacob_Bernoulli",[-0.75, -1.75, 0]),
("Ehrenfried_von_Tschirnhaus",[0.5, -0.5, 0]),
("Gottfried_Wilhelm_von_Leibniz",[0.2, -1.75, 0]),
("Guillaume_de_L'Hopital", [-1.75, -1.25, 0]),
]
for name, point in mathematicians:
man = ImageMobject(name, invert = False)
if name == "Newton":
name = "Isaac_Newton"
name_mob = TextMobject(name.replace("_", " "))
name_mob.to_corner(UP+LEFT, buff=0.75)
self.add(name_mob)
man.scale_to_fit_height(4)
mobject = Point(man.get_corner(UP+LEFT))
self.play(Transform(mobject, man))
man.scale(0.2)
man.shift(point)
self.play(Transform(mobject, man))
self.remove(name_mob)
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):
one_solution = TextMobject(["One ", "solution"])
two_insights = TextMobject(["Two ", " insights"])
two, insights = two_insights.split()
johann = ImageMobject("Johann_Bernoulli2", invert=False)
mark = ImageMobject("Mark_Levi", invert=False)
for mob in johann, mark:
mob.scale(0.4)
johann.next_to(insights, LEFT)
mark.next_to(johann, RIGHT)
name = TextMobject("Mark Levi").to_edge(UP)
self.play(*map(ShimmerIn, one_solution.split()))
self.dither()
for pair in zip(one_solution.split(), two_insights.split()):
self.play(Transform(*pair, path_func=path_along_arc(np.pi)))
self.dither()
self.clear()
self.add(two, insights)
for word, man in [(two, johann), (insights, mark)]:
self.play(Transform(word, Point(word.get_left())),
GrowFromCenter(man))
self.dither()
self.clear()
self.play(ApplyMethod(mark.center))
self.play(ShimmerIn(name))
self.dither()
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):
headphones = ImageMobject("Headphones.png")
headphones.scale(0.1)
headphones.stretch(2, 0)
headphones.shift(1.2*UP+0.05*LEFT)
headphones.highlight(GREY)
randy = Randolph()
self.add(randy, headphones)
self.dither(2)
self.play(ApplyMethod(randy.blink))
self.dither(4)
def construct(self):
mathematicians = [
ImageMobject(name, invert=False) for name in [
"Old_Newton",
"Johann_Bernoulli2",
"Jacob_Bernoulli",
"Ehrenfried_von_Tschirnhaus",
"Gottfried_Wilhelm_von_Leibniz",
"Guillaume_de_L'Hopital",
]
]
newton = mathematicians.pop(0)
newton.scale(0.8)
new_newton = newton.copy()
new_newton.scale_to_fit_height(3)
new_newton.to_edge(UP)
for man in mathematicians:
man.scale_to_fit_width(1.7)
johann = mathematicians.pop(0)
johann.next_to(new_newton, DOWN)
last_left, last_right = johann, johann
for man, count in zip(mathematicians, it.count()):
if count % 2 == 0:
man.next_to(last_left, LEFT)
last_left = man
else:
man.next_to(last_right, RIGHT)
last_right = man
self.play(Transform(newton, new_newton), GrowFromCenter(johann))
self.wait()
self.play(FadeIn(Mobject(*mathematicians)))
self.wait()
def construct(self):
image = ImageMobject("lion", invert = False)
image.scale(0.5)
image.shift(2*LEFT)
self.add(image)
for vect, num in zip([DOWN, RIGHT], [1, 2]):
brace = Brace(image, vect)
words_mob = TextMobject("Dimension %d"%num)
words_mob.next_to(image, vect, buff = 1)
self.play(
Transform(Point(brace.get_center()), brace),
ShimmerIn(words_mob),
run_time = 2
)
self.dither()
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):
#self.force_skipping()
title = TextMobject("Set","Theory")
title.scale(1.3)
title.to_edge(UP)
self.add(title)
self.dither()
cantor = ImageMobject("Georg_Cantor2")
cantor.scale(0.5)
cantor_desc = TextMobject("Georg Cantor")
cantor_desc.next_to(cantor, DOWN)
VGroup(cantor, cantor_desc).to_corner(UP+RIGHT)
self.add(cantor)
self.play(FadeIn(cantor),
FadeIn(cantor_desc, submobject_mode = "lagged_start"))
self.dither()
studies0 = TextMobject("Study of","infinity")
studies0[1].highlight(YELLOW)
studies0.scale(1.3)
studies0.shift(LEFT*cantor_desc.get_width()/2 + UP)
self.play(FadeIn(studies0[0]), Write(studies0[1]))
self.dither()
studies1 = TextMobject("Study of","infinite","sets")
studies1.scale(1.3)
studies1.move_to(studies0)
studies1[1].highlight(YELLOW)
sets_ori = title[0].copy()
s = studies1[-1][-1].copy()
s.shift(sets_ori[-1].get_center() - studies1[-1][-2].get_center())
s.set_fill(opacity = 0)
sets_ori.add(s)
studies0.add(sets_ori)
self.play(ReplacementTransform(studies0, studies1))
self.dither()
self.play(studies1.next_to, title, DOWN,
FadeOut(cantor),
FadeOut(cantor_desc))
self.dither()
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):
one_solution = TextMobject(["One ", "solution"])
two_insights = TextMobject(["Two ", " insights"])
two, insights = two_insights.split()
johann = ImageMobject("Johann_Bernoulli2", invert = False)
mark = ImageMobject("Mark_Levi", invert = False)
for mob in johann, mark:
mob.scale(0.4)
johann.next_to(insights, LEFT)
mark.next_to(johann, RIGHT)
name = TextMobject("Mark Levi").to_edge(UP)
self.play(*map(ShimmerIn, one_solution.split()))
self.dither()
for pair in zip(one_solution.split(), two_insights.split()):
self.play(Transform(*pair, path_func = path_along_arc(np.pi)))
self.dither()
self.clear()
self.add(two, insights)
for word, man in [(two, johann), (insights, mark)]:
self.play(
Transform(word, Point(word.get_left())),
GrowFromCenter(man)
)
self.dither()
self.clear()
self.play(ApplyMethod(mark.center))
self.play(ShimmerIn(name))
self.dither()
def construct(self):
title = TextMobject("(A few) Fathers of Calculus")
title.to_edge(UP)
self.add(title)
men = Mobject()
for name in self.names:
image = ImageMobject(name, invert=False)
image.scale_to_fit_height(self.picture_height)
title = TextMobject(name)
title.scale(0.8)
title.next_to(image, DOWN)
image.add(title)
men.add(image)
men.arrange_submobjects(RIGHT, aligned_edge=UP)
men.shift(DOWN)
discover_brace = Brace(Mobject(*men[:3]), UP)
discover = discover_brace.get_text("Discovered it")
VGroup(discover_brace, discover).highlight(BLUE)
rigor_brace = Brace(Mobject(*men[3:]), UP)
rigor = rigor_brace.get_text("Made it rigorous")
rigor.shift(0.1 * DOWN)
VGroup(rigor_brace, rigor).highlight(YELLOW)
for man in men:
self.play(FadeIn(man))
self.play(GrowFromCenter(discover_brace), Write(discover, run_time=1))
self.play(GrowFromCenter(rigor_brace), Write(rigor, run_time=1))
self.dither()
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):
curve = HilbertCurve(order=6)
curve.highlight(WHITE)
colored_curve = curve.copy()
colored_curve.thin_out(3)
lion = ImageMobject("lion", invert=False)
lion.replace(curve, stretch=True)
sparce_lion = lion.copy()
sparce_lion.thin_out(100)
distance_matrix = cdist(colored_curve.points, sparce_lion.points)
closest_point_indices = np.apply_along_axis(np.argmin, 1,
distance_matrix)
colored_curve.rgbs = sparce_lion.rgbs[closest_point_indices]
line = Line(5 * LEFT, 5 * RIGHT)
Mobject.align_data(line, colored_curve)
line.rgbs = colored_curve.rgbs
self.add(lion)
self.play(ShowCreation(curve, run_time=3))
self.play(FadeOut(lion), Transform(curve, colored_curve), run_time=3)
self.dither()
self.play(Transform(curve, line, run_time=5))
self.dither()
def __init__(self, **kwargs):
Mobject.__init__(self, **kwargs)
for part_name in self.PART_NAMES:
mob = ImageMobject(part_name_to_directory(part_name),
should_center=False)
if part_name not in self.WHITE_PART_NAMES:
mob.highlight(self.color)
setattr(self, part_name, mob)
self.eyes = Mobject(self.left_eye, self.right_eye)
self.legs = Mobject(self.left_leg, self.right_leg)
mouth_center = self.get_mouth_center()
self.mouth.center()
self.smile = self.mouth
self.frown = self.mouth.copy().rotate(np.pi, RIGHT)
self.straight_mouth = TexMobject("-").scale(0.7)
for mouth in self.smile, self.frown, self.straight_mouth:
mouth.sort_points(lambda p: p[0])
mouth.highlight(self.color) ##to blend into background
mouth.shift(mouth_center)
self.digest_mobject_attrs()
self.give_smile()
self.add(self.mouth)
self.scale(PI_CREATURE_SCALE_VAL)
def construct(self):
morty = Mortimer()
morty.next_to(ORIGIN, DOWN)
morty.to_edge(RIGHT)
headphones = Headphones(height = 1)
headphones.move_to(morty.eyes, aligned_edge = DOWN)
headphones.shift(0.1*DOWN)
url = TextMobject("www.audibletrial.com/3blue1brown")
url.scale(0.8)
url.to_corner(UP+RIGHT, buff = LARGE_BUFF)
book = ImageMobject("zen_and_motorcycles")
book.scale_to_fit_height(5)
book.to_edge(DOWN, buff = LARGE_BUFF)
border = Rectangle(color = WHITE)
border.replace(book, stretch = True)
self.play(PiCreatureSays(
morty, "Book recommendation!",
target_mode = "surprised"
))
self.play(Blink(morty))
self.play(
FadeIn(headphones),
morty.change_mode, "thinking",
FadeOut(morty.bubble),
FadeOut(morty.bubble.content),
)
self.play(Write(url))
self.play(morty.change_mode, "happy")
self.dither(2)
self.play(Blink(morty))
self.dither(2)
self.play(
morty.change_mode, "raise_right_hand",
morty.look_at, url
)
self.dither(2)
self.play(
morty.change_mode, "happy",
morty.look_at, book
)
self.play(FadeIn(book))
self.play(ShowCreation(border))
self.dither(2)
self.play(Blink(morty))
self.dither()
self.play(
morty.change_mode, "thinking",
morty.look_at, book
)
self.dither(2)
self.play(Blink(morty))
self.dither(4)
self.play(Blink(morty))
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):
tweets = [
ImageMobject("tweet%d" % x, invert=False) for x in range(1, 4)
]
for tweet in tweets:
tweet.scale(0.4)
tweets[0].to_corner(UP + LEFT)
tweets[1].next_to(tweets[0], RIGHT, aligned_edge=UP)
tweets[2].next_to(tweets[1], DOWN)
self.play(GrowFromCenter(tweets[0]))
for x in 1, 2:
self.play(Transform(Point(tweets[x - 1].get_center()), tweets[x]),
Animation(tweets[x - 1]))
self.dither()
def construct(self):
low_res = ImageMobject("low_resolution_lion", invert=False)
high_res = ImageMobject("Lion", invert=False)
grid = get_grid().scale(0.8)
for mob in low_res, high_res:
mob.replace(grid, stretch=True)
side_brace = Brace(low_res, LEFT)
top_brace = Brace(low_res, UP)
top_words = TextMobject("256 Px", size="\\normal")
side_words = top_words.copy().rotate(np.pi / 2)
top_words.next_to(top_brace, UP)
side_words.next_to(side_brace, LEFT)
self.add(high_res)
self.dither()
self.play(DelayByOrder(Transform(high_res, low_res)))
self.dither()
self.play(GrowFromCenter(top_brace), GrowFromCenter(side_brace),
ShimmerIn(top_words), ShimmerIn(side_words))
self.dither()
for mob in grid, high_res:
mob.sort_points(np.linalg.norm)
self.play(DelayByOrder(Transform(high_res, grid)))
self.dither()
def construct(self):
words = TextMobject("Yet another bit of Mark Levi cleverness")
words.to_edge(UP)
levi = ImageMobject("Mark_Levi", invert=False)
levi.scale_to_fit_width(6)
levi.show()
self.add(levi)
self.play(ShimmerIn(words))
self.wait(2)
def construct(self):
newton, johann = [
ImageMobject(name, invert=False).scale(0.5)
for name in "Newton", "Johann_Bernoulli2"
]
greater_than = TexMobject(">")
newton.next_to(greater_than, RIGHT)
johann.next_to(greater_than, LEFT)
self.add(johann, greater_than, newton)
for i in range(2):
kwargs = {"path_func": counterclockwise_path(), "run_time": 2}
self.play(
ApplyMethod(newton.replace, johann, **kwargs),
ApplyMethod(johann.replace, newton, **kwargs),
)
self.wait()
def construct(self):
johann, fermat = [
ImageMobject(name, invert=False)
for name in "Johann_Bernoulli2", "Pierre_de_Fermat"
]
johann.scale(0.2)
johann.to_corner(DOWN + LEFT)
bubble = ThoughtBubble(initial_width=12)
bubble.stretch_to_fit_height(6)
bubble.pin_to(johann)
bubble.shift(DOWN)
bubble.add_content(fermat)
fermat.scale_in_place(0.4)
self.add(johann, bubble)
self.wait()
self.play(FadeIn(fermat))
self.wait()
def construct(self):
image = ImageMobject("lion", invert=False)
image.scale(0.5)
image.shift(2 * LEFT)
self.add(image)
for vect, num in zip([DOWN, RIGHT], [1, 2]):
brace = Brace(image, vect)
words_mob = TextMobject("Dimension %d" % num)
words_mob.next_to(image, vect, buff=1)
self.play(Transform(Point(brace.get_center()), brace),
ShimmerIn(words_mob),
run_time=2)
self.dither()
def construct(self):
logo = ImageMobject("LogoGeneration", invert=False)
name_mob = TextMobject("3Blue1Brown").center()
name_mob.highlight("grey")
name_mob.shift(2 * DOWN)
self.add(name_mob, logo)
new_text = TextMobject(["with ", "Steven Strogatz"])
new_text.next_to(name_mob, DOWN)
self.play(*[ShimmerIn(part) for part in new_text.split()])
self.dither()
with_word, steve = new_text.split()
steve_copy = steve.copy().center().to_edge(UP)
# logo.sort_points(lambda p : -np.linalg.norm(p))
sort_by_color(logo)
self.play(Transform(steve, steve_copy),
DelayByOrder(Transform(logo, Point())),
FadeOut(with_word),
FadeOut(name_mob),
run_time=3)
def four_billion_earths(self):
self.create_four_billion_copies(3, self.get_earth())
milky_way = ImageMobject("milky_way")
milky_way.scale_to_fit_height(3)
milky_way.to_edge(LEFT, buff=0)
milky_way.shift(DOWN)
n_stars_estimate = TextMobject("100 to 400 \\\\ billion stars")
n_stars_estimate.next_to(milky_way, RIGHT)
n_stars_estimate.shift(UP)
earth, h_line, denom = self.get_fraction(3, self.get_earth(),
self.get_galaxy())
self.revert_to_original_skipping_status()
self.play(FadeIn(milky_way))
self.play(Write(n_stars_estimate))
self.dither()
self.play(
LaggedStart(
Indicate,
self.group_of_four_billion_things,
rate_func=there_and_back,
lag_ratio=0.2,
run_time=3,
))
self.dither()
self.play(
ReplacementTransform(self.group_of_four_billion_things,
VGroup(earth)),
ShowCreation(h_line),
FadeIn(denom),
self.four_billions[3].restore,
FadeOut(milky_way),
FadeOut(n_stars_estimate),
)
self.dither()
def four_billion_earths(self):
self.create_four_billion_copies(
3, self.get_earth()
)
milky_way = ImageMobject("milky_way")
milky_way.scale_to_fit_height(3)
milky_way.to_edge(LEFT, buff = 0)
milky_way.shift(DOWN)
n_stars_estimate = TextMobject("100 to 400 \\\\ billion stars")
n_stars_estimate.next_to(milky_way, RIGHT)
n_stars_estimate.shift(UP)
earth, h_line, denom = self.get_fraction(
3, self.get_earth(), self.get_galaxy()
)
self.revert_to_original_skipping_status()
self.play(FadeIn(milky_way))
self.play(Write(n_stars_estimate))
self.dither()
self.play(LaggedStart(
Indicate, self.group_of_four_billion_things,
rate_func = there_and_back,
lag_ratio = 0.2,
run_time = 3,
))
self.dither()
self.play(
ReplacementTransform(
self.group_of_four_billion_things,
VGroup(earth)
),
ShowCreation(h_line),
FadeIn(denom),
self.four_billions[3].restore,
FadeOut(milky_way),
FadeOut(n_stars_estimate),
)
self.dither()
def construct(self):
morty = Mortimer(mode = "happy")
keith = Keith(mode = "dance_kick")
keith_image = ImageMobject("keith_schwarz", invert = False)
# keith_image = Rectangle()
keith_image.scale_to_fit_height(2*SPACE_HEIGHT - 2)
keith_image.next_to(ORIGIN, LEFT)
keith.move_to(keith_image, DOWN+RIGHT)
morty.next_to(keith, buff = LARGE_BUFF, aligned_edge = DOWN)
morty.make_eye_contact(keith)
bubble = keith.get_bubble("speech")
bubble.write("Check this out...")
bubble.resize_to_content()
bubble.pin_to(keith)
VGroup(bubble, bubble.content).shift(DOWN)
title = TextMobject("Keith Schwarz (Computer scientist)")
title.to_edge(UP)
self.add(keith_image, morty)
self.play(Write(title))
self.play(FadeIn(keith, run_time = 2))
self.play(FadeOut(keith_image), Animation(keith))
self.play(Blink(morty))
self.play(
keith.change_mode, "speaking",
keith.scale_to_fit_height, morty.get_height(),
keith.next_to, morty, LEFT, LARGE_BUFF,
run_time = 1.5
)
self.play(
ShowCreation(bubble),
Write(bubble.content)
)
self.play(
morty.change_mode, "pondering",
morty.look_at, bubble
)
self.play(Blink(keith))
self.dither()
def construct(self):
image = ImageMobject(os.path.join(RESOURCE_DIR, "dalembert_zoom"))
image.scale_to_fit_width(2 * SPACE_WIDTH - 1)
image.to_edge(UP, buff=MED_SMALL_BUFF)
image.fade(0.15)
rect = Rectangle(
width=12,
height=0.5,
stroke_width=0,
fill_opacity=0.3,
fill_color=GREEN,
)
rect.insert_n_anchor_points(20)
rect.apply_function(
lambda p: np.array([p[0], p[1] - 0.005 * p[0]**2, p[2]]))
rect.rotate(0.012 * TAU)
rect.move_to(image)
rect.shift(0.15 * DOWN)
words = TextMobject(
"``Let",
"$\\pi$",
"be the",
"circumference",
"of a circle whose",
"radius = 1''",
)
words.highlight_by_tex_to_color_map({
"circumference": YELLOW,
"radius": GREEN,
})
words.next_to(image, DOWN)
pi = words.get_part_by_tex("\\pi").copy()
terms, generate_anims1, generate_anims2 = get_circle_drawing_terms(
radius=1,
positioning_func=lambda circ: circ.next_to(words, DOWN, buff=1.25))
circle, radius, one, decimal = terms
unwrapped_perimeter = Line(ORIGIN, TAU * RIGHT)
unwrapped_perimeter.match_style(circle)
unwrapped_perimeter.next_to(circle, DOWN)
brace = Brace(unwrapped_perimeter, UP, buff=SMALL_BUFF)
perimeter = TexMobject(
"\\pi\\epsilon\\rho\\iota\\mu\\epsilon\\tau\\rho\\text{o}\\varsigma",
"\\text{ (perimeter)}", "=")
perimeter.next_to(brace,
UP,
submobject_to_align=perimeter[1],
buff=SMALL_BUFF)
perimeter[0][0].highlight(GREEN)
self.play(FadeInFromDown(image))
self.play(Write(words),
GrowFromPoint(rect, rect.point_from_proportion(0.9)))
self.wait()
self.play(*generate_anims1())
self.play(*generate_anims2())
self.play(terms.shift, UP)
self.play(pi.scale, 2, pi.shift, DOWN, pi.highlight, GREEN)
self.wait()
self.play(
GrowFromCenter(brace),
circle.set_stroke,
YELLOW,
1,
ReplacementTransform(circle.copy(), unwrapped_perimeter),
decimal.scale,
1.25,
decimal.next_to,
perimeter[-1].get_right(),
RIGHT,
ReplacementTransform(pi, perimeter[0][0]),
Write(perimeter),
)
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.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):
self.add_title()
title = self.title
basel_screen = ScreenRectangle(height=2.35)
basel_screen.next_to(title, DOWN)
watch_basel = TextMobject(
"One such actual piece of math",
"(quite pretty!)",
)
watch_basel[0].highlight(YELLOW)
watch_basel.next_to(basel_screen,
DOWN,
submobject_to_align=watch_basel[0])
self.add(watch_basel)
# self.add(basel_screen)
line = DashedLine(SPACE_WIDTH * LEFT, SPACE_WIDTH * RIGHT)
line.next_to(watch_basel, DOWN)
self.add(line)
plushie_square = Square(side_length=2)
plushie_square.to_corner(DOWN + LEFT, buff=MED_LARGE_BUFF)
plushie_square.shift(UP)
plushie_words = TextMobject(
"Plushie pi \\\\ creatures \\\\ now available.", alignment="")
plushie_words.next_to(plushie_square, RIGHT)
self.add(plushie_words)
# self.add(plushie_square)
instagram_line = TextMobject("randy\\_the\\_pi")
instagram_logo = ImageMobject("instagram_logo")
instagram_logo.match_height(instagram_line)
instagram_logo.next_to(instagram_line, LEFT, SMALL_BUFF)
instagram = Group(instagram_logo, instagram_line)
instagram.next_to(line, DOWN)
instagram.shift(SPACE_WIDTH * RIGHT / 2)
self.add(instagram)
pictures = Group(*[
ImageMobject("randy/randy_%s" % name) for name in [
"science",
"cooking",
"in_a_can",
"sandwhich",
"lab",
"fractal",
"flowers",
"group",
"labcoat",
"tennis",
]
])
for i, picture in enumerate(pictures):
picture.scale_to_fit_height(2)
picture.next_to(instagram, DOWN, aligned_edge=RIGHT)
if i % 3 != 0:
picture.next_to(last_picture, LEFT, buff=0)
self.play(FadeIn(picture, run_time=2))
last_picture = picture
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()
def construct(self):
names = [
"Johann_Bernoulli2",
"Jacob_Bernoulli",
"Gottfried_Wilhelm_von_Leibniz",
"Newton"
]
guys = [
ImageMobject(name, invert = False)
for name in names
]
johann = guys[0]
johann.scale(0.8)
pensive_johann = johann.copy()
pensive_johann.scale(0.25)
pensive_johann.to_corner(DOWN+LEFT)
comparitive_johann = johann.copy()
template = Square(side_length = 2)
comparitive_johann.replace(template)
comparitive_johann.shift(UP+LEFT)
greater_than = TexMobject(">")
greater_than.next_to(comparitive_johann)
for guy, name in zip(guys, names)[1:]:
guy.replace(template)
guy.next_to(greater_than)
name_mob = TextMobject(name.replace("_", " "))
name_mob.scale(0.5)
name_mob.next_to(guy, DOWN)
guy.name_mob = name_mob
guy.sort_points(lambda p : np.dot(p, DOWN+RIGHT))
bubble = ThoughtBubble(initial_width = 12)
bubble.stretch_to_fit_height(6)
bubble.ingest_submobjects()
bubble.pin_to(pensive_johann)
bubble.shift(DOWN)
point = Point(johann.get_corner(UP+RIGHT))
upper_point = Point(comparitive_johann.get_corner(UP+RIGHT))
lightbulb = ImageMobject("Lightbulb", invert = False)
lightbulb.scale(0.1)
lightbulb.sort_points(np.linalg.norm)
lightbulb.next_to(upper_point, RIGHT)
self.add(johann)
self.dither()
self.play(
Transform(johann, pensive_johann),
Transform(point, bubble),
run_time = 2
)
self.remove(point)
self.add(bubble)
weakling = guys[1]
self.play(
FadeIn(comparitive_johann),
ShowCreation(greater_than),
FadeIn(weakling)
)
self.dither(2)
for guy in guys[2:]:
self.play(DelayByOrder(Transform(
weakling, upper_point
)))
self.play(
FadeIn(guy),
ShimmerIn(guy.name_mob)
)
self.dither(3)
self.remove(guy.name_mob)
weakling = guy
self.play(FadeOut(weakling), FadeOut(greater_than))
self.play(ShowCreation(lightbulb))
self.dither()
self.play(FadeOut(comparitive_johann), FadeOut(lightbulb))
self.play(ApplyMethod(
Mobject(johann, bubble).scale, 10,
run_time = 3
))
def construct(self):
names = [
"Johann_Bernoulli2",
"Jacob_Bernoulli",
"Gottfried_Wilhelm_von_Leibniz",
"Newton"
]
guys = [
ImageMobject(name, invert = False)
for name in names
]
johann = guys[0]
johann.scale(0.8)
pensive_johann = johann.copy()
pensive_johann.scale(0.25)
pensive_johann.to_corner(DOWN+LEFT)
comparitive_johann = johann.copy()
template = Square(side_length = 2)
comparitive_johann.replace(template)
comparitive_johann.shift(UP+LEFT)
greater_than = TexMobject(">")
greater_than.next_to(comparitive_johann)
for guy, name in zip(guys, names)[1:]:
guy.replace(template)
guy.next_to(greater_than)
name_mob = TextMobject(name.replace("_", " "))
name_mob.scale(0.5)
name_mob.next_to(guy, DOWN)
guy.name_mob = name_mob
guy.sort_points(lambda p : np.dot(p, DOWN+RIGHT))
bubble = ThoughtBubble(initial_width = 12)
bubble.stretch_to_fit_height(6)
bubble.ingest_submobjects()
bubble.pin_to(pensive_johann)
bubble.shift(DOWN)
point = Point(johann.get_corner(UP+RIGHT))
upper_point = Point(comparitive_johann.get_corner(UP+RIGHT))
lightbulb = ImageMobject("Lightbulb", invert = False)
lightbulb.scale(0.1)
lightbulb.sort_points(np.linalg.norm)
lightbulb.next_to(upper_point, RIGHT)
self.add(johann)
self.dither()
self.play(
Transform(johann, pensive_johann),
Transform(point, bubble),
run_time = 2
)
self.remove(point)
self.add(bubble)
weakling = guys[1]
self.play(
FadeIn(comparitive_johann),
ShowCreation(greater_than),
FadeIn(weakling)
)
self.dither(2)
for guy in guys[2:]:
self.play(DelayByOrder(Transform(
weakling, upper_point
)))
self.play(
FadeIn(guy),
ShimmerIn(guy.name_mob)
)
self.dither(3)
self.remove(guy.name_mob)
weakling = guy
self.play(FadeOut(weakling), FadeOut(greater_than))
self.play(ShowCreation(lightbulb))
self.dither()
self.play(FadeOut(comparitive_johann), FadeOut(lightbulb))
self.play(ApplyMethod(
Mobject(johann, bubble).scale, 10,
run_time = 3
))
def get_image(name):
return ImageMobject(os.path.join(RESOURCE_DIR, name))