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authorElvis Claros Castro <elvis@claros.ar>2026-09-26 20:21:47 -0300
committerElvis Claros Castro <elvis@claros.ar>2026-09-26 20:21:47 -0300
commit59355909f2de9236af8168a26c70bcf6caa3b285 (patch)
tree686186e2086f81aa22ad25e78eb29fca3cbadc9a /scenes/v8_reuleaux.py
download100cia-videos-59355909f2de9236af8168a26c70bcf6caa3b285.tar.gz
100cia-videos-59355909f2de9236af8168a26c70bcf6caa3b285.zip
Import video pipeline as it was
Diffstat (limited to 'scenes/v8_reuleaux.py')
-rw-r--r--scenes/v8_reuleaux.py158
1 files changed, 158 insertions, 0 deletions
diff --git a/scenes/v8_reuleaux.py b/scenes/v8_reuleaux.py
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+# -*- coding: utf-8 -*-
+import sys, os, math
+sys.path.insert(0, os.path.dirname(os.path.abspath(__file__)))
+from manim import *
+from tiktok import *
+
+W = 2.9 # ancho constante de las figuras
+FLOOR = -0.6 # piso de la animacion de rodado
+
+
+def reuleaux(w, bulge=1, **kw):
+ """Triangulo de Reuleaux: 3 arcos de radio w centrados en el vertice opuesto."""
+ R = w / math.sqrt(3)
+ V = [R * np.array([math.cos(a), math.sin(a), 0])
+ for a in (PI / 2, PI / 2 + TAU / 3, PI / 2 + 2 * TAU / 3)]
+ arcs = [ArcBetweenPoints(V[i], V[(i + 1) % 3], angle=bulge * PI / 3) for i in range(3)]
+ m = VMobject(**kw)
+ m.set_points(arcs[0].points)
+ for a in arcs[1:]:
+ m.append_points(a.points)
+ return m
+
+
+class Reuleaux(TikTok):
+ NAME = "reuleaux"
+
+ def construct(self):
+ self.prepare()
+ chip = self.chip("Geometría de la calle", AMBAR)
+
+ with self.beat(0) as b:
+ tapa = VGroup(
+ Circle(radius=1.6, stroke_color="#7A879F", stroke_width=12,
+ fill_color="#1B2438", fill_opacity=1),
+ Circle(radius=1.25, stroke_color="#4A5878", stroke_width=5),
+ VGroup(*[Line(ORIGIN, RIGHT * 1.1, stroke_width=5, color="#4A5878")
+ .rotate(a, about_point=ORIGIN) for a in np.arange(0, TAU, TAU / 8)]),
+ ).move_to(UP * 3.4)
+ q = self.fit(Text("¿por qué son redondas?", font=FONT, font_size=52,
+ weight=BOLD, color=WHITE), 8.0).move_to(UP * 0.7)
+ b.play(FadeIn(chip, shift=DOWN * 0.3), run_time=0.45)
+ b.play(FadeIn(tapa, scale=0.7), run_time=0.8)
+ b.play(Write(q), run_time=0.9)
+
+ with self.beat(1) as b:
+ ans = self.fit(Text("no se pueden caer adentro", font=FONT, font_size=46,
+ weight=BOLD, color=VERDE), 8.2).move_to(DOWN * 0.7)
+ b.play(FadeIn(ans, shift=UP * 0.15), run_time=0.7)
+
+ # ---- la cuadrada se cae ----
+ with self.beat(2) as b:
+ b.play(FadeOut(VGroup(tapa, q, ans)), run_time=0.4)
+ hole = Square(side_length=2.6, stroke_color="#4A5878", stroke_width=6,
+ fill_color="#05070D", fill_opacity=1).move_to(UP * 3.2)
+ cover = Square(side_length=2.5, stroke_color=ROSA, stroke_width=8,
+ fill_color="#2A1220", fill_opacity=1).move_to(UP * 3.2)
+ b.play(FadeIn(hole), FadeIn(cover), run_time=0.5)
+ b.play(Rotate(cover, PI / 4), run_time=0.7)
+ b.play(cover.animate.shift(DOWN * 2.3).scale(0.82).set_opacity(0.35),
+ run_time=0.9)
+ cae = Text("se cae", font=FONT, font_size=44, weight=BOLD, color=ROSA)
+ cae.move_to(UP * 0.35)
+ b.play(FadeIn(cae), run_time=0.4)
+
+ with self.beat(3) as b:
+ b.play(FadeOut(VGroup(cover, cae)), run_time=0.3)
+ lado = Line(hole.get_corner(DL), hole.get_corner(DR),
+ stroke_width=8, color=CELESTE).shift(DOWN * 0.35)
+ diag = Line(hole.get_corner(DL), hole.get_corner(UR), stroke_width=8, color=ROSA)
+ l1 = Text("lado", font=FONT, font_size=34, weight=BOLD,
+ color=CELESTE).next_to(lado, DOWN, buff=0.12)
+ l2 = Text("diagonal = 1,41 × lado", font=FONT, font_size=36, weight=BOLD,
+ color=ROSA).move_to(UP * 0.9)
+ self.fit(l2, 8.0)
+ b.play(Create(lado), FadeIn(l1), run_time=0.6)
+ b.play(Create(diag), run_time=0.6)
+ b.play(FadeIn(l2, shift=UP * 0.15), run_time=0.6)
+
+ # ---- el circulo mide igual en toda direccion ----
+ with self.beat(4) as b:
+ b.play(FadeOut(VGroup(hole, lado, diag, l1, l2)), run_time=0.4)
+ circ = Circle(radius=W / 2, stroke_color=CELESTE, stroke_width=9,
+ fill_color="#0E2233", fill_opacity=1).move_to(UP * 3.0)
+ tr = ValueTracker(0)
+ cal = always_redraw(lambda: DoubleArrow(
+ circ.get_center() + rotate_vector(RIGHT * W / 2, tr.get_value()),
+ circ.get_center() - rotate_vector(RIGHT * W / 2, tr.get_value()),
+ buff=0, color=AMBAR, stroke_width=7, tip_length=0.22))
+ b.play(FadeIn(circ, scale=0.8), run_time=0.5)
+ b.play(FadeIn(cal), run_time=0.3)
+ b.play(tr.animate.set_value(PI), run_time=max(1.0, b.floor - 1.1),
+ rate_func=linear)
+ same = Text("mide igual en toda dirección", font=FONT, font_size=38,
+ weight=BOLD, color=AMBAR).move_to(UP * 0.55)
+ self.fit(same, 8.2)
+ b.play(FadeIn(same), run_time=0.4)
+
+ with self.beat(5) as b:
+ no = self.fit(Text("y no es la única", font=FONT, font_size=50,
+ weight=BOLD, color=WHITE), 8.0).move_to(DOWN * 0.7)
+ b.play(FadeIn(no, shift=UP * 0.15), run_time=0.7)
+
+ # ---- aparece el Reuleaux ----
+ tri = reuleaux(W, stroke_color=VERDE, stroke_width=9,
+ fill_color="#0C2A22", fill_opacity=1).move_to(UP * 3.0)
+ with self.beat(6) as b:
+ b.play(FadeOut(VGroup(cal, same, no)), run_time=0.3)
+ b.play(Transform(circ, tri), run_time=1.2)
+
+ with self.beat(7) as b:
+ nom = self.fit(Text("TRIÁNGULO DE REULEAUX", font=FONT, font_size=46,
+ weight=BOLD, color=VERDE), 8.2).move_to(UP * 0.75)
+ b.play(Write(nom), run_time=1.0)
+
+ # ---- rueda entre dos paredes ----
+ with self.beat(8) as b:
+ b.play(FadeOut(VGroup(circ, nom)), run_time=0.4)
+ base = reuleaux(W, stroke_color=VERDE, stroke_width=9,
+ fill_color="#0C2A22", fill_opacity=1)
+ spin = ValueTracker(0)
+
+ def rodando():
+ s = base.copy().rotate(spin.get_value())
+ s.shift(UP * (FLOOR - s.get_bottom()[1]))
+ return s
+
+ rolling = always_redraw(rodando)
+ suelo = Line([-4.2, FLOOR, 0], [4.2, FLOOR, 0], stroke_width=7, color="#4A5878")
+ techo = Line([-4.2, FLOOR + W, 0], [4.2, FLOOR + W, 0],
+ stroke_width=7, color=AMBAR)
+ b.play(Create(suelo), Create(techo), run_time=0.5)
+ b.play(FadeIn(rolling), run_time=0.3)
+ b.play(spin.animate.set_value(TAU), run_time=max(1.4, b.floor - 0.8),
+ rate_func=linear)
+
+ with self.beat(9) as b:
+ carga = RoundedRectangle(corner_radius=0.12, width=3.4, height=0.55,
+ stroke_width=0, fill_color=AMBAR, fill_opacity=1)
+ carga.move_to([0, FLOOR + W + 0.32, 0])
+ nivel = self.fit(Text("la carga no sube ni baja", font=FONT, font_size=42,
+ weight=BOLD, color=AMBAR), 8.0).move_to(UP * 4.3)
+ b.play(FadeIn(carga, shift=DOWN * 0.15), FadeIn(nivel), run_time=0.6)
+ b.play(spin.animate.set_value(TAU * 2), run_time=max(1.2, b.floor - 0.7),
+ rate_func=linear)
+
+ with self.beat(10) as b:
+ b.play(FadeOut(VGroup(rolling, suelo, techo, carga, nivel)), run_time=0.5)
+ cta = VGroup(
+ self.fit(Text("ahora ya sabés", font=FONT, font_size=50,
+ weight=BOLD, color=WHITE), 8.0),
+ self.fit(Text("por qué son redondas", font=FONT, font_size=54,
+ weight=BOLD, color=AMBAR), 8.2),
+ ).arrange(DOWN, buff=0.32).move_to(UP * 1.6)
+ b.play(FadeIn(cta[0], shift=UP * 0.15), run_time=0.5)
+ b.play(Write(cta[1]), run_time=0.9)
+ b.play(Circumscribe(cta[1], color=AMBAR, buff=0.28, stroke_width=7), run_time=0.9)
+
+ self.finish()