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184 lines
4.5 KiB
Python
184 lines
4.5 KiB
Python
#!/usr/bin/env python
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from helpers import *
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from mobject.tex_mobject import TexMobject
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from mobject import Mobject
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from mobject.image_mobject import ImageMobject
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from mobject.vectorized_mobject import *
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from animation.animation import Animation
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from animation.transform import *
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from animation.simple_animations import *
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from animation.playground import *
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from topics.geometry import *
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from topics.characters import *
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from topics.functions import *
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from topics.fractals import *
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from topics.number_line import *
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from topics.combinatorics import *
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from topics.numerals import *
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from topics.three_dimensions import *
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from scene import Scene
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from camera import Camera
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from mobject.svg_mobject import *
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from mobject.tex_mobject import *
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class KochTest(Scene):
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def construct(self):
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koch = KochCurve(order = 5, stroke_width = 2)
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self.play(ShowCreation(koch, run_time = 3))
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self.play(
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koch.scale, 3, koch.get_left(),
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koch.set_stroke, None, 4
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)
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self.dither()
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class SierpinskiTest(Scene):
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def construct(self):
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sierp = Sierpinski(
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order = 5,
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)
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self.play(FadeIn(
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sierp,
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run_time = 5,
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submobject_mode = "lagged_start",
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))
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self.dither()
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# self.play(sierp.scale, 2, sierp.get_top())
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# self.dither(3)
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###################################
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class ZoomInOnFractal(PiCreatureScene):
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CONFIG = {
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"fractal_order" : 6,
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"num_zooms" : 5,
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"fractal_class" : DiamondFractal,
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"index_to_replace" : 0,
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}
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def construct(self):
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morty = self.pi_creature
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fractal = self.fractal_class(order = self.fractal_order)
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fractal.show()
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fractal = self.introduce_fractal()
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self.change_mode("thinking")
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self.blink()
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self.zoom_in(fractal)
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def introduce_fractal(self):
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fractal = self.fractal_class(order = 0)
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self.play(FadeIn(fractal))
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for order in range(1, self.fractal_order+1):
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new_fractal = self.fractal_class(order = order)
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self.play(
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Transform(fractal, new_fractal, run_time = 2),
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self.pi_creature.change_mode, "hooray"
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)
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return fractal
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def zoom_in(self, fractal):
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grower = fractal[self.index_to_replace]
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grower_target = fractal.copy()
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for x in range(self.num_zooms):
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self.tweak_fractal_subpart(grower_target)
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grower_family = grower.family_members_with_points()
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everything = VGroup(*[
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submob
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for submob in fractal.family_members_with_points()
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if not submob.is_off_screen()
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if submob not in grower_family
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])
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everything.generate_target()
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everything.target.shift(
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grower_target.get_center()-grower.get_center()
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)
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everything.target.scale(
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grower_target.get_height()/grower.get_height()
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)
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self.play(
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Transform(grower, grower_target),
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MoveToTarget(everything),
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self.pi_creature.change_mode, "thinking",
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run_time = 2
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)
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self.dither()
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grower_target = grower.copy()
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grower = grower[self.index_to_replace]
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def tweak_fractal_subpart(self, subpart):
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subpart.rotate_in_place(np.pi/4)
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class WhatAreFractals(TeacherStudentsScene):
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def construct(self):
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self.student_says(
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"But what \\emph{is} a fractal",
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student_index = 2,
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width = 6
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)
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self.change_student_modes("thinking", "pondering", None)
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self.dither()
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name = TextMobject("Benoit Mandelbrot")
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name.to_corner(UP+LEFT)
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# picture = Rectangle(height = 4, width = 3)
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picture = ImageMobject("Mandelbrot")
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picture.scale_to_fit_height(4)
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picture.next_to(name, DOWN)
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self.play(
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Write(name, run_time = 2),
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FadeIn(picture),
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*[
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ApplyMethod(pi.look_at, name)
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for pi in self.get_everyone()
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]
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)
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self.dither(2)
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question = TextMobject("Aren't they", "self-similar", "shapes?")
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question.highlight_by_tex("self-similar", YELLOW)
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self.student_says(question)
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self.play(self.get_teacher().change_mode, "happy")
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self.dither(2)
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