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Began reanimating much of inventing math. Also there is DelayByOrder now, which is awesome

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This commit is contained in:
Grant Sanderson
2015-08-08 20:42:34 -07:00
parent 5b228ba8da
commit afdb7554ef
5 changed files with 188 additions and 92 deletions
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167
scripts/inventing_math.py
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@ -15,6 +15,8 @@ from region import *
from scene import Scene, RearrangeEquation
from script_wrapper import command_line_create_scene
from inventing_math_images import *
MOVIE_PREFIX = "inventing_math/"
DIVERGENT_SUM_TEXT = [
"1",
@ -152,7 +154,10 @@ class IntroduceDivergentSum(Scene):
def construct(self):
equation = divergent_sum().split()
sum_value = None
brace = underbrace().shift(0.75*DOWN)
brace = underbrace(
equation[0].get_border_point(DOWN+LEFT),
equation[1].get_border_point(DOWN+RIGHT)
).shift(0.2*DOWN)
min_x_coord = min(equation[0].points[:,0])
for x in range(NUM_WRITTEN_TERMS):
self.add(equation[x])
@ -180,7 +185,7 @@ class IntroduceDivergentSum(Scene):
flip_through = FlipThroughNumbers(
lambda x : 2**(x+1)-1,
start = NUM_WRITTEN_TERMS-1,
end = 40,
end = 50,
start_center = brace.get_center() + 0.5*DOWN,
end_center = end_brace.get_center() + 0.5*DOWN,
**kwargs
@ -190,17 +195,8 @@ class IntroduceDivergentSum(Scene):
Transform(brace, end_brace, **kwargs),
flip_through,
)
kwargs = {"run_time" : 0.5, "alpha_func" : rush_from}
self.clear()
self.add(CompoundMobject(*equation[:-1]))
self.animate(
Transform(
flip_through.mobject,
equation[-1],
**kwargs
),
FadeOut(brace, **kwargs),
)
self.add(*equation)
self.dither()
class ClearlyNonsense(Scene):
@ -237,57 +233,110 @@ class ClearlyNonsense(Scene):
self.animate(ShowCreation(right_arrow))
self.dither()
class ReasonsForMakingVideo(Scene):
class OutlineOfVideo(Scene):
def construct(self):
text = text_mobject([
"""
\\begin{itemize}
\\item Understand what ``$
""",
"".join(DIVERGENT_SUM_TEXT),
"""
$'' is saying.
""",
"""
\\item Nonsense-Driven Construction
\\end{itemize}
"""
], size = "\\Small")
text.scale(1.5).to_edge(LEFT).shift(UP).highlight("white")
text.highlight("green", lambda (x, y, z) : x < -SPACE_WIDTH + 1)
line_one_first, equation, line_one_last, line_two = text.split()
line_two.shift(2*DOWN)
div_sum = divergent_sum().scale(0.5).shift(3*UP)
self.add(div_sum)
self.animate(
ApplyMethod(div_sum.replace, equation),
FadeIn(line_one_first),
FadeIn(line_one_last)
conv_sum = convergent_sum().scale(0.5)
div_sum = divergent_sum().scale(0.5)
overbrace = underbrace(
conv_sum.get_left(),
conv_sum.get_right()
).rotate(np.pi, RIGHT).shift(0.75*UP*conv_sum.get_height())
dots = conv_sum.split()[-2].highlight("green")
dots.sort_points()
arrow = Arrow(
dots.get_bottom(),
direction = UP+LEFT
)
self.dither()
self.add(line_two)
self.dither()
u_brace = underbrace(div_sum.get_left(), div_sum.get_right())
u_brace.shift(1.5*div_sum.get_bottom())
for mob in conv_sum, overbrace, arrow, dots:
mob.shift(2*UP)
for mob in div_sum, u_brace:
mob.shift(DOWN)
texts = [
text_mobject(words).highlight("yellow")
for words in [
"1. Discover this",
"2. Clarify what this means",
"3. Discover this",
["4. Invent ", "\\textbf{new math}"]
]
]
last_one_split = texts[-1].split()
last_one_split[1].highlight("skyblue")
texts[-1] = CompoundMobject(*last_one_split)
texts[0].shift(overbrace.get_top()+texts[0].get_height()*UP)
texts[1].shift(sum([
arrow.get_border_point(DOWN+RIGHT),
texts[1].get_height()*DOWN
]))
texts[2].shift(u_brace.get_bottom()+texts[3].get_height()*DOWN)
texts[3].to_edge(DOWN)
class DiscoverAndDefine(Scene):
def construct(self):
sum_mob = tex_mobject("\\sum_{n = 1}^\\infty a_n")
discover = text_mobject("What does it feel like to discover these?")
define = text_mobject([
"What does it feel like to",
"\\emph{define} ",
"them?"
])
sum_mob.shift(2*UP)
define.shift(2*DOWN)
define_parts = define.split()
define_parts[1].highlight("skyblue")
groups = [
[texts[0], overbrace, conv_sum],
[texts[1], arrow, dots],
[texts[2], u_brace, div_sum],
[texts[3]]
]
for group in groups:
self.animate(*[
DelayByOrder(FadeIn(element))
for element in group
])
self.dither()
self.add(sum_mob)
self.animate(FadeIn(discover))
self.dither()
self.animate(FadeIn(CompoundMobject(*define_parts)))
self.dither()
# # class ReasonsForMakingVideo(Scene):
# # def construct(self):
# # text = text_mobject([
# # """
# # \\begin{itemize}
# # \\item Understand what ``$
# # """,
# # "".join(DIVERGENT_SUM_TEXT),
# # """
# # $'' is saying.
# # """,
# # """
# # \\item Nonsense-Driven Construction
# # \\end{itemize}
# # """
# # ], size = "\\Small")
# # text.scale(1.5).to_edge(LEFT).shift(UP).highlight("white")
# # text.highlight("green", lambda (x, y, z) : x < -SPACE_WIDTH + 1)
# # line_one_first, equation, line_one_last, line_two = text.split()
# # line_two.shift(2*DOWN)
# # div_sum = divergent_sum().scale(0.5).shift(3*UP)
# # self.add(div_sum)
# # self.animate(
# # ApplyMethod(div_sum.replace, equation),
# # FadeIn(line_one_first),
# # FadeIn(line_one_last)
# # )
# # self.dither()
# # self.add(line_two)
# # self.dither()
# class DiscoverAndDefine(Scene):
# def construct(self):
# sum_mob = tex_mobject("\\sum_{n = 1}^\\infty a_n")
# discover = text_mobject("What does it feel like to discover these?")
# define = text_mobject([
# "What does it feel like to",
# "\\emph{define} ",
# "them?"
# ])
# sum_mob.shift(2*UP)
# define.shift(2*DOWN)
# define_parts = define.split()
# define_parts[1].highlight("skyblue")
# self.add(sum_mob)
# self.animate(FadeIn(discover))
# self.dither()
# self.animate(FadeIn(CompoundMobject(*define_parts)))
# self.dither()
class YouAsMathematician(Scene):
def construct(self):