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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 *
CEN = UP * 1.75
RT = 2.05 # radio de la Tierra en pantalla
HUECO = 0.72 # separacion dibujada (exagerada)
def gato(h=0.55, color="#E8EDF7"):
"""Silueta simple de gato de perfil, alto total = h."""
body = Ellipse(width=0.90, height=0.34, stroke_width=0, fill_color=color,
fill_opacity=1).move_to([0, 0.12, 0])
head = Circle(radius=0.17, stroke_width=0, fill_color=color,
fill_opacity=1).move_to([0.46, 0.26, 0])
e1 = Triangle(stroke_width=0, fill_color=color, fill_opacity=1).scale(0.09)
e1.move_to([0.39, 0.42, 0])
e2 = e1.copy().shift(RIGHT * 0.15)
tail = ArcBetweenPoints([-0.44, 0.16, 0], [-0.62, 0.52, 0], angle=-1.6,
stroke_width=5, color=color)
legs = VGroup(*[Line([x, 0.02, 0], [x, -0.16, 0], stroke_width=6, color=color)
for x in (-0.28, -0.08, 0.18, 0.36)])
g = VGroup(tail, body, legs, head, e1, e2)
g.scale(h / g.height)
return g
class Cuerda(TikTok):
NAME = "cuerda"
def planeta(self, r, center, col="#1D3B6E"):
p = Circle(radius=r, stroke_width=4, stroke_color=CELESTE,
fill_color=col, fill_opacity=1).move_to(center)
return p
def construct(self):
self.prepare()
chip = self.chip("Intuición rota", CELESTE)
tierra = self.planeta(RT, CEN)
cuerda = Circle(radius=RT + 0.03, stroke_width=7, color=AMBAR).move_to(CEN)
with self.beat(0) as b:
b.play(FadeIn(chip, shift=DOWN * 0.3), run_time=0.45)
b.play(GrowFromCenter(tierra), run_time=0.7)
b.play(Create(cuerda), run_time=max(0.8, b.floor - 1.6))
with self.beat(1) as b:
km = Text("40.000 km", font=FONT, font_size=50, weight=BOLD, color=AMBAR)
km.move_to(CEN + DOWN * 0.0)
box = RoundedRectangle(corner_radius=0.16, stroke_width=0, fill_color="#0B0F1A",
fill_opacity=0.78, width=km.width + 0.5,
height=km.height + 0.35).move_to(km)
b.play(FadeIn(VGroup(box, km), scale=0.7), run_time=0.8)
with self.beat(2) as b:
b.play(FadeOut(VGroup(box, km)), run_time=0.3)
seg = Line(LEFT * 0.6, RIGHT * 0.6, stroke_width=9, color=VERDE)
tip = VGroup(*[Line(UP * 0.16, DOWN * 0.16, stroke_width=6, color=VERDE)
.move_to(p) for p in (seg.get_start(), seg.get_end())])
lab = Text("+ 1 metro", font=FONT, font_size=48, weight=BOLD, color=VERDE)
g = VGroup(VGroup(seg, tip), lab).arrange(DOWN, buff=0.3).move_to(DOWN * 2.15)
b.play(GrowFromCenter(VGroup(seg, tip)), run_time=0.5)
b.play(FadeIn(lab, shift=UP * 0.15), run_time=0.6)
with self.beat(3) as b:
alta = Circle(radius=RT + HUECO, stroke_width=7, color=AMBAR).move_to(CEN)
radios = VGroup(*[
DashedLine(CEN + RT * np.array([math.cos(a), math.sin(a), 0]),
CEN + (RT + HUECO) * np.array([math.cos(a), math.sin(a), 0]),
stroke_width=4, color="#7C8AA8", dash_length=0.07)
for a in np.linspace(0, TAU, 16, endpoint=False)])
b.play(FadeOut(g), run_time=0.25)
b.play(Transform(cuerda, alta), run_time=1.0)
b.play(FadeIn(radios), run_time=0.5)
esc = Text("(dibujo exagerado)", font=FONT, font_size=28, color=GRIS)
esc.move_to(DOWN * 2.6)
b.play(FadeIn(esc), run_time=0.35)
with self.beat(4) as b:
q = VGroup(
self.fit(Text("¿cuánto se separa?", font=FONT, font_size=52,
weight=BOLD, color=WHITE), 8.0),
VGroup(
Text("«nada»", font=FONT, font_size=40, color=GRIS),
Text("«un pelo»", font=FONT, font_size=40, color=GRIS),
).arrange(RIGHT, buff=0.7),
).arrange(DOWN, buff=0.35).move_to(CEN)
bx = RoundedRectangle(corner_radius=0.2, stroke_width=0, fill_color="#0B0F1A",
fill_opacity=0.82, width=q.width + 0.6,
height=q.height + 0.5).move_to(q)
b.play(FadeIn(VGroup(bx, q), scale=0.85), run_time=0.8)
with self.beat(5) as b:
b.play(FadeOut(VGroup(bx, q)), run_time=0.3)
gt = gato(HUECO * 0.92).move_to(CEN + UP * (RT + HUECO / 2))
med = DoubleArrow(CEN + LEFT * RT, CEN + LEFT * (RT + HUECO), buff=0,
color=VERDE, stroke_width=6, tip_length=0.18)
val = Text("15,9 cm", font=FONT, font_size=42, weight=BOLD, color=VERDE)
val.next_to(med, UP, buff=0.22)
b.play(GrowArrow(med), FadeIn(val), run_time=0.7)
b.play(FadeIn(gt, shift=RIGHT * 0.3), run_time=0.7)
with self.beat(6) as b:
b.play(FadeOut(VGroup(radios, gt, med, val, esc)), run_time=0.4)
b.play(VGroup(tierra, cuerda).animate.scale(0.52).move_to(UP * 4.6),
run_time=0.6)
f1 = MathTex(r"r = \frac{P}{2\pi}", color=WHITE).scale(1.6).move_to(UP * 1.5)
b.play(Write(f1), run_time=1.0)
with self.beat(7) as b:
f2 = MathTex(r"\Delta r = \frac{1\,\text{m}}{2\pi}", color=AMBAR)
f2.scale(1.6).move_to(DOWN * 0.5)
b.play(Write(f2), run_time=1.1)
with self.beat(8) as b:
f3 = MathTex(r"= 0{,}159\ \text{m} = 15{,}9\ \text{cm}", color=VERDE)
f3.scale(1.25).move_to(DOWN * 2.15)
b.play(Write(f3), run_time=0.9)
nota = self.fit(Text("el tamaño del planeta no aparece", font=FONT,
font_size=40, weight=BOLD, color=ROSA), 8.2)
nota.move_to(DOWN * 3.05)
b.play(FadeIn(nota, shift=UP * 0.15), run_time=0.6)
with self.beat(9) as b:
b.play(FadeOut(VGroup(f1, f2, f3, nota, tierra, cuerda)), run_time=0.45)
def par(r, etiqueta, x, col):
c0 = [x, 1.75, 0]
p = self.planeta(r, c0, col)
c = Circle(radius=r + 0.30, stroke_width=6, color=AMBAR).move_to(c0)
lab = Text(etiqueta, font=FONT, font_size=36, weight=BOLD, color=WHITE)
lab.move_to([x, -0.55, 0])
v = Text("15,9 cm", font=FONT, font_size=38, weight=BOLD, color=VERDE)
v.move_to([x, -1.25, 0])
return VGroup(p, c, lab, v)
iz = par(1.25, "la Tierra", -2.05, "#1D3B6E")
de = par(0.55, "una pelota de tenis", 2.05, "#2F7A3C")
self.fit(de[2], 3.9)
b.play(FadeIn(iz), run_time=0.6)
b.play(FadeIn(de), run_time=0.6)
ig = Text("=", font=FONT, font_size=64, weight=BOLD, color=AMBAR)
ig.move_to([0, 1.75, 0])
b.play(FadeIn(ig, scale=0.6), run_time=0.5)
esc2 = Text("(no está a escala)", font=FONT, font_size=28, color=GRIS)
esc2.move_to(DOWN * 2.35)
b.play(FadeIn(esc2), run_time=0.35)
with self.beat(10) as b:
b.play(FadeOut(VGroup(iz, de, ig, esc2)), run_time=0.4)
cta = VGroup(
self.fit(Text("el tamaño no importa", font=FONT, font_size=56,
weight=BOLD, color=AMBAR), 8.0),
self.fit(Text("mandáselo al que dudó", font=FONT, font_size=44,
weight=BOLD, color=WHITE), 8.0),
).arrange(DOWN, buff=0.38).move_to(UP * 1.4)
b.play(Write(cta[0]), run_time=0.9)
b.play(FadeIn(cta[1], shift=UP * 0.15), run_time=0.6)
self.finish()
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