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101 lines
2.3 KiB
Python
101 lines
2.3 KiB
Python
from manim_imports_ext import *
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class CircleDivisionImage(Scene):
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CONFIG = {
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"random_seed": 0,
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"n": 0,
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}
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def construct(self):
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# tex = TexMobject("e^{\\tau i}")
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# tex = TexMobject("\\sin(2\\theta) \\over \\sin(\\theta)\\cos(\\theta)")
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# tex = TexMobject("")
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# tex.set_height(FRAME_HEIGHT - 2)
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# if tex.get_width() > (FRAME_WIDTH - 2):
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# tex.set_width(FRAME_WIDTH - 2)
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# self.add(tex)
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n = self.n
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# angles = list(np.arange(0, TAU, TAU / 9))
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# for i in range(len(angles)):
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# angles[i] += 1 * np.random.random()
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# random.shuffle(angles)
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# angles = angles[:n + 1]
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# angles.sort()
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# arcs = VGroup(*[
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# Arc(
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# start_angle=a1,
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# angle=(a2 - a1),
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# )
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# for a1, a2 in zip(angles, angles[1:])
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# ])
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# arcs.set_height(FRAME_HEIGHT - 1)
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# arcs.set_stroke(YELLOW, 3)
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circle = Circle()
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circle.set_stroke(YELLOW, 5)
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circle.set_height(FRAME_HEIGHT - 1)
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alphas = np.arange(0, 1, 1 / 10)
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alphas += 0.025 * np.random.random(10)
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# random.shuffle(alphas)
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alphas = alphas[:n + 1]
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points = [circle.point_from_proportion(3 * alpha % 1) for alpha in alphas]
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dots = VGroup(*[Dot(point) for point in points])
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for dot in dots:
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dot.scale(1.5)
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dot.set_stroke(BLACK, 2, background=True)
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dots.set_color(BLUE)
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lines = VGroup(*[
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Line(p1, p2)
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for p1, p2 in it.combinations(points, 2)
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])
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lines.set_stroke(WHITE, 3)
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self.add(circle, lines, dots)
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class PatronImage1(CircleDivisionImage):
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CONFIG = {"n": 0}
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class PatronImage2(CircleDivisionImage):
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CONFIG = {"n": 1}
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class PatronImage4(CircleDivisionImage):
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CONFIG = {"n": 2}
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class PatronImage8(CircleDivisionImage):
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CONFIG = {"n": 3}
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class PatronImage16(CircleDivisionImage):
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CONFIG = {"n": 4}
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class PatronImage31(CircleDivisionImage):
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CONFIG = {"n": 5}
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class PatronImage57(CircleDivisionImage):
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CONFIG = {"n": 6}
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class PatronImage99(CircleDivisionImage):
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CONFIG = {"n": 7}
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class PatronImage163(CircleDivisionImage):
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CONFIG = {"n": 8}
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class PatronImage256(CircleDivisionImage):
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CONFIG = {"n": 9}
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