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-rw-r--r--scenes/v10_buffon.py92
1 files changed, 46 insertions, 46 deletions
diff --git a/scenes/v10_buffon.py b/scenes/v10_buffon.py
index 35ee4e0..557d927 100644
--- a/scenes/v10_buffon.py
+++ b/scenes/v10_buffon.py
@@ -4,13 +4,13 @@ sys.path.insert(0, os.path.dirname(os.path.abspath(__file__)))
from manim import *
from tiktok import *
-D = 1.1 # separacion entre rayas = largo de la aguja
-Y0 = 0.35 # raya mas baja
+D = 1.1 # line spacing = needle length
+Y0 = 0.35 # lowest line
NLIN = 5
SEED, N1, N2 = 36, 60, 200
-def tirar(n):
+def throw(n):
rng = np.random.default_rng(SEED)
x = rng.uniform(-3.9, 3.9, n)
y = rng.uniform(Y0 + 0.1, Y0 + (NLIN - 1) * D - 0.1, n)
@@ -18,8 +18,8 @@ def tirar(n):
dx, dy = D / 2 * np.cos(th), D / 2 * np.sin(th)
p1 = np.stack([x - dx, y - dy, np.zeros(n)], axis=1)
p2 = np.stack([x + dx, y + dy, np.zeros(n)], axis=1)
- cruza = np.floor((p1[:, 1] - Y0) / D) != np.floor((p2[:, 1] - Y0) / D)
- return p1, p2, cruza
+ crosses = np.floor((p1[:, 1] - Y0) / D) != np.floor((p2[:, 1] - Y0) / D)
+ return p1, p2, crosses
class Buffon(TikTok):
@@ -27,10 +27,10 @@ class Buffon(TikTok):
def construct(self):
self.prepare()
- chip = self.chip("π sin círculos", ROSA)
- p1, p2, cruza = tirar(N2)
+ chip = self.chip("π sin círculos", C_PINK)
+ p1, p2, crosses = throw(N2)
- rayas = VGroup(*[Line([-4.2, Y0 + k * D, 0], [4.2, Y0 + k * D, 0],
+ stripes = VGroup(*[Line([-4.2, Y0 + k * D, 0], [4.2, Y0 + k * D, 0],
stroke_width=4, color="#33405C") for k in range(NLIN)])
with self.beat(0) as b:
@@ -38,7 +38,7 @@ class Buffon(TikTok):
self.fit(Text("tiro agujas al piso", font=FONT, font_size=52,
weight=BOLD, color=WHITE), 8.2),
self.fit(Text("y sale π", font=FONT, font_size=64,
- weight=BOLD, color=AMBAR), 8.2),
+ weight=BOLD, color=AMBER), 8.2),
).arrange(DOWN, buff=0.32).move_to(UP * 2.4)
b.play(FadeIn(chip, shift=DOWN * 0.3), run_time=0.45)
b.play(FadeIn(hook[0], shift=UP * 0.15), run_time=0.6)
@@ -46,105 +46,105 @@ class Buffon(TikTok):
with self.beat(1) as b:
b.play(FadeOut(hook), run_time=0.35)
- b.play(LaggedStart(*[Create(r) for r in rayas], lag_ratio=0.12), run_time=0.9)
+ b.play(LaggedStart(*[Create(r) for r in stripes], lag_ratio=0.12), run_time=0.9)
demo = Line([-1.0, Y0 + D, 0], [-1.0, Y0 + 2 * D, 0],
- stroke_width=9, color=AMBAR)
+ stroke_width=9, color=AMBER)
med = DoubleArrow([0.2, Y0 + D, 0], [0.2, Y0 + 2 * D, 0], buff=0,
- color=VERDE, stroke_width=6, tip_length=0.2)
- lab = Text("mismo largo", font=FONT, font_size=32, weight=BOLD, color=VERDE)
+ color=C_GREEN, stroke_width=6, tip_length=0.2)
+ lab = Text("mismo largo", font=FONT, font_size=32, weight=BOLD, color=C_GREEN)
lab.next_to(med, RIGHT, buff=0.25)
b.play(Create(demo), run_time=0.5)
b.play(GrowArrow(med), FadeIn(lab), run_time=0.6)
- agujas = VGroup(*[Line(p1[i], p2[i], stroke_width=4.5, color="#7C8AA8")
+ needles = VGroup(*[Line(p1[i], p2[i], stroke_width=4.5, color="#7C8AA8")
for i in range(N2)])
with self.beat(2) as b:
b.play(FadeOut(VGroup(demo, med, lab)), run_time=0.3)
- b.play(LaggedStart(*[FadeIn(agujas[i]) for i in range(N1)],
+ b.play(LaggedStart(*[FadeIn(needles[i]) for i in range(N1)],
lag_ratio=0.012), run_time=max(1.1, b.floor - 0.5))
with self.beat(3) as b:
- hit = [agujas[i] for i in range(N1) if cruza[i]]
- miss = [agujas[i] for i in range(N1) if not cruza[i]]
- b.play(*[a.animate.set_stroke(AMBAR, 6) for a in hit],
+ hit = [needles[i] for i in range(N1) if crosses[i]]
+ miss = [needles[i] for i in range(N1) if not crosses[i]]
+ b.play(*[a.animate.set_stroke(AMBER, 6) for a in hit],
*[a.animate.set_stroke("#46526E", 3.5) for a in miss], run_time=1.0)
- c1 = int(cruza[:N1].sum())
+ c1 = int(crosses[:N1].sum())
- def marcador(n, c, y=-0.75):
+ def marker(n, c, y=-0.75):
g = VGroup(
- VGroup(Text("tiradas", font=FONT, font_size=30, color=GRIS),
+ VGroup(Text("tiradas", font=FONT, font_size=30, color=C_GRAY),
Text(str(n), font=FONT, font_size=62, weight=BOLD, color=WHITE)
).arrange(DOWN, buff=0.1),
- VGroup(Text("cruzan", font=FONT, font_size=30, color=GRIS),
- Text(str(c), font=FONT, font_size=62, weight=BOLD, color=AMBAR)
+ VGroup(Text("cruzan", font=FONT, font_size=30, color=C_GRAY),
+ Text(str(c), font=FONT, font_size=62, weight=BOLD, color=AMBER)
).arrange(DOWN, buff=0.1),
).arrange(RIGHT, buff=1.5).move_to([0, y, 0])
return g
- marc = marcador(N1, c1)
+ marker_m = marker(N1, c1)
with self.beat(4) as b:
- b.play(FadeIn(marc, shift=UP * 0.15), run_time=0.8)
+ b.play(FadeIn(marker_m, shift=UP * 0.15), run_time=0.8)
with self.beat(5) as b:
f = MathTex(r"\frac{2 \times \text{tiradas}}{\text{cruces}}",
- color=CELESTE).scale(1.25).move_to(DOWN * 2.45)
+ color=C_SKY).scale(1.25).move_to(DOWN * 2.45)
b.play(Write(f), run_time=1.1)
with self.beat(6) as b:
- est = 2 * N1 / c1
- res = MathTex(r"= %s" % f"{est:.4f}".replace(".", "{,}"),
- color=VERDE).scale(1.45)
+ estimate = 2 * N1 / c1
+ res = MathTex(r"= %s" % f"{estimate:.4f}".replace(".", "{,}"),
+ color=C_GREEN).scale(1.45)
res.next_to(f, RIGHT, buff=0.4)
grp = VGroup(f, res)
b.play(Write(res), run_time=0.8)
b.play(grp.animate.move_to(DOWN * 2.45), run_time=0.4)
- b.play(Flash(res, color=VERDE, line_length=0.5, num_lines=16,
+ b.play(Flash(res, color=C_GREEN, line_length=0.5, num_lines=16,
flash_radius=1.4), run_time=0.6)
- c2 = int(cruza.sum())
+ c2 = int(crosses.sum())
with self.beat(7) as b:
- hit = [agujas[i] for i in range(N1, N2) if cruza[i]]
- miss = [agujas[i] for i in range(N1, N2) if not cruza[i]]
+ hit = [needles[i] for i in range(N1, N2) if crosses[i]]
+ miss = [needles[i] for i in range(N1, N2) if not crosses[i]]
for a in hit:
- a.set_stroke(AMBAR, 6)
+ a.set_stroke(AMBER, 6)
for a in miss:
a.set_stroke("#46526E", 3.5)
- b.play(LaggedStart(*[FadeIn(agujas[i]) for i in range(N1, N2)],
+ b.play(LaggedStart(*[FadeIn(needles[i]) for i in range(N1, N2)],
lag_ratio=0.004), run_time=max(1.0, b.floor - 1.3))
est2 = 2 * N2 / c2
- nm = marcador(N2, c2)
+ nm = marker(N2, c2)
nres = MathTex(r"= %s" % f"{est2:.4f}".replace(".", "{,}"),
- color=VERDE).scale(1.45).next_to(f, RIGHT, buff=0.4)
- b.play(Transform(marc, nm), Transform(res, nres), run_time=0.9)
+ color=C_GREEN).scale(1.45).next_to(f, RIGHT, buff=0.4)
+ b.play(Transform(marker_m, nm), Transform(res, nres), run_time=0.9)
with self.beat(8) as b:
- pi = MathTex(r"\pi = 3{,}14159\ldots", color=AMBAR).scale(1.5)
+ pi = MathTex(r"\pi = 3{,}14159\ldots", color=AMBER).scale(1.5)
pi.move_to(UP * 5.5)
b.play(Write(pi), run_time=1.0)
- b.play(Circumscribe(pi, color=AMBAR, buff=0.25, stroke_width=6), run_time=0.8)
+ b.play(Circumscribe(pi, color=AMBER, buff=0.25, stroke_width=6), run_time=0.8)
with self.beat(9) as b:
- b.play(FadeOut(VGroup(marc, pi, f, res)), run_time=0.45)
+ b.play(FadeOut(VGroup(marker_m, pi, f, res)), run_time=0.45)
t = VGroup(
self.fit(Text("no hay ningún círculo", font=FONT, font_size=48,
weight=BOLD, color=WHITE), 8.2),
self.fit(Text("y π aparece igual", font=FONT, font_size=48,
- weight=BOLD, color=AMBAR), 8.2),
+ weight=BOLD, color=AMBER), 8.2),
).arrange(DOWN, buff=0.35).move_to(DOWN * 1.5)
b.play(FadeIn(t[0], shift=UP * 0.15), run_time=0.6)
b.play(FadeIn(t[1], shift=UP * 0.15), run_time=0.7)
with self.beat(10) as b:
b.play(FadeOut(t), run_time=0.35)
- cta = VGroup(
+ count_txt = VGroup(
self.fit(Text("aguja de Buffon", font=FONT, font_size=58,
- weight=BOLD, color=AMBAR), 8.0),
+ weight=BOLD, color=AMBER), 8.0),
self.fit(Text("hacelo con fósforos", font=FONT, font_size=44,
weight=BOLD, color=WHITE), 8.0),
).arrange(DOWN, buff=0.35).move_to(DOWN * 1.5)
- b.play(Write(cta[0]), run_time=0.8)
- b.play(FadeIn(cta[1], shift=UP * 0.15), run_time=0.6)
+ b.play(Write(count_txt[0]), run_time=0.8)
+ b.play(FadeIn(count_txt[1], shift=UP * 0.15), run_time=0.6)
self.finish()
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