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# -*- coding: utf-8 -*-
"""Non-transitive dice: A beats B, B beats C and C beats A, always 5 out of 9."""
import sys, os
sys.path.insert(0, os.path.dirname(os.path.abspath(__file__)))
from manim import *
from tiktok import *
RED_C = C_PINK
FACES = {"rojo": [2, 4, 9], "celeste": [1, 6, 8], "verde": [3, 5, 7]}
COL = {"rojo": RED_C, "celeste": C_SKY, "verde": C_GREEN}
CELL = 1.30
def die(obj_name, s=0.62):
vals = FACES[obj_name] * 2
col = COL[obj_name]
face_list = VGroup()
for v in vals:
f = RoundedRectangle(corner_radius=0.11, width=s, height=s, stroke_width=3,
stroke_color=col, fill_color="#121C33", fill_opacity=1)
face_list.add(VGroup(f, Text(str(v), font=FONT, font_size=32, weight=BOLD,
color=col).move_to(f)))
face_list.arrange_in_grid(rows=2, cols=3, buff=0.08)
rot = Text(obj_name, font=FONT, font_size=30, weight=BOLD, color=col)
rot.next_to(face_list, DOWN, buff=0.18)
return VGroup(face_list, rot)
def duel(na, nb, center_pt):
"""3x3 table with the nine duels. Each cell painted with the winner's color."""
av, bv = FACES[na], FACES[nb]
ca, cb = COL[na], COL[nb]
cells, wins = VGroup(), 0
for i, a in enumerate(av):
for j, bq in enumerate(bv):
ok = a > bq
wins += ok
r = RoundedRectangle(corner_radius=0.1, width=CELL, height=CELL, stroke_width=4,
stroke_color="#0B0F1A", fill_color=ca if ok else cb,
fill_opacity=0.92)
t = Text(str(max(a, bq)), font=FONT, font_size=42, weight=BOLD, color="#0B0F1A")
c = VGroup(r, t.move_to(r))
c.move_to(center_pt + np.array([(j - 1) * (CELL + 0.07),
-(i - 1) * (CELL + 0.07), 0.0]))
cells.add(c)
d = CELL + 0.07
outside = d + CELL / 2 + 0.36 # the caption goes outside the table
header = VGroup(*[Text(str(v), font=FONT, font_size=38, weight=BOLD, color=cb)
.move_to(center_pt + np.array([(j - 1) * d, outside, 0.0]))
for j, v in enumerate(bv)])
lat = VGroup(*[Text(str(v), font=FONT, font_size=38, weight=BOLD, color=ca)
.move_to(center_pt + np.array([-outside, -(i - 1) * d, 0.0]))
for i, v in enumerate(av)])
return cells, header, lat, wins
class Dice(TikTok):
NAME = "dados"
def construct(self):
self.prepare()
chip = self.chip("Intuición rota", RED_C)
dds = VGroup(*[die(n) for n in ("rojo", "celeste", "verde")])
dds.arrange(RIGHT, buff=0.55).move_to(UP * 4.15)
with self.beat(0) as b:
b.play(FadeIn(chip, shift=DOWN * 0.3), run_time=0.4)
b.play(LaggedStart(*[FadeIn(d, shift=DOWN * 0.3) for d in dds],
lag_ratio=0.25), run_time=1.1)
finger = Triangle(stroke_width=0, fill_color=WHITE, fill_opacity=1).scale(0.22)
finger.rotate(PI).next_to(dds[1], DOWN, buff=0.35)
b.play(FadeIn(finger, shift=UP * 0.3), run_time=0.5)
you_side = Text("vos", font=FONT, font_size=34, weight=BOLD, color=WHITE)
you_side.next_to(finger, DOWN, buff=0.15)
me_txt = Text("yo elijo después", font=FONT, font_size=40, weight=BOLD, color=AMBER)
me_txt.move_to(UP * 1.45)
with self.beat(1) as b:
b.play(FadeIn(you_side), run_time=0.35)
b.play(FadeIn(me_txt, shift=UP * 0.2), run_time=0.6)
big_txt = Text("56%", font=FONT, font_size=190, weight=BOLD, color=AMBER)
big_txt.move_to(DOWN * 0.55)
footer = Text("gano yo", font=FONT, font_size=46, weight=BOLD, color=WHITE)
footer.next_to(big_txt, DOWN, buff=0.25)
with self.beat(2) as b:
b.play(FadeOut(VGroup(finger, you_side, me_txt)), run_time=0.3)
b.play(FadeIn(big_txt, scale=0.6), run_time=0.7)
b.play(FadeIn(footer, shift=UP * 0.2), run_time=0.4)
b.play(Flash(big_txt, color=AMBER, flash_radius=2.6, num_lines=20), run_time=0.8)
with self.beat(3) as b:
b.play(FadeOut(VGroup(big_txt, footer)), run_time=0.35)
b.play(dds[1].animate.set_opacity(0.25), dds[2].animate.set_opacity(0.25),
run_time=0.4)
big_one = dds[0].copy().scale(2.0).move_to(UP * 1.2)
b.play(TransformFromCopy(dds[0], big_one), run_time=0.8)
with self.beat(4) as b:
b.play(FadeOut(big_one), dds[1].animate.set_opacity(1),
dds[2].animate.set_opacity(1), run_time=0.5)
g2 = dds[1].copy().scale(1.7).move_to(UP * 1.5 + LEFT * 1.9)
g3 = dds[2].copy().scale(1.7).move_to(UP * 1.5 + RIGHT * 1.9)
b.play(TransformFromCopy(dds[1], g2), run_time=0.6)
b.play(TransformFromCopy(dds[2], g3), run_time=0.6)
# --- the three match-ups ------------------------------------------------
center_pt = np.array([0.0, 0.42, 0.0])
def crossing(beat, na, nb, previous):
cells, header, lat, wins = duel(na, nb, center_pt)
tick_m = VGroup(
Text(na, font=FONT, font_size=42, weight=BOLD, color=COL[na]),
Text(f"gana {wins} de 9", font=FONT, font_size=42, weight=BOLD, color=WHITE),
).arrange(RIGHT, buff=0.25).move_to(DOWN * 2.45)
if previous:
beat.play(FadeOut(previous), run_time=0.3)
beat.play(FadeIn(VGroup(header, lat)), run_time=0.35)
beat.play(LaggedStart(*[FadeIn(c, scale=0.6) for c in cells],
lag_ratio=0.09), run_time=max(1.0, beat.floor - 1.5))
beat.play(FadeIn(tick_m, shift=UP * 0.2), run_time=0.45)
return VGroup(cells, header, lat, tick_m)
with self.beat(5) as b:
b.play(FadeOut(VGroup(g2, g3)), run_time=0.3)
t1 = crossing(b, "rojo", "celeste", None)
with self.beat(6) as b:
t2 = crossing(b, "celeste", "verde", t1)
with self.beat(7) as b:
b.play(FadeOut(t2), run_time=0.35)
question = VGroup(
Text("rojo", font=FONT, font_size=54, weight=BOLD, color=RED_C),
Text("→", font=FONT, font_size=54, weight=BOLD, color=WHITE),
Text("verde", font=FONT, font_size=54, weight=BOLD, color=C_GREEN),
Text("?", font=FONT, font_size=70, weight=BOLD, color=AMBER),
).arrange(RIGHT, buff=0.3).move_to(UP * 1.6)
b.play(FadeIn(question, shift=UP * 0.25), run_time=0.6)
b.play(Indicate(question[3], color=AMBER, scale_factor=1.4), run_time=0.7)
with self.beat(8) as b:
no = Text("NO", font=FONT, font_size=96, weight=BOLD, color=C_PINK).move_to(UP * 1.6)
b.play(FadeOut(question), run_time=0.25)
b.play(FadeIn(no, scale=1.8), run_time=0.4)
b.play(FadeOut(no), run_time=0.3)
t3 = crossing(b, "verde", "rojo", None)
# --- the circle ----------------------------------------------------------
with self.beat(9) as b:
b.play(FadeOut(t3), FadeOut(dds), run_time=0.4)
vert = {"rojo": np.array([0.0, 4.1, 0.0]),
"celeste": np.array([-2.55, 0.5, 0.0]),
"verde": np.array([2.55, 0.5, 0.0])}
node_list = VGroup()
for n, p in vert.items():
node_list.add(VGroup(
Circle(radius=0.86, stroke_width=6, color=COL[n],
fill_color="#121C33", fill_opacity=1).move_to(p),
Text(n, font=FONT, font_size=27, weight=BOLD, color=COL[n]).move_to(p)))
arrows = VGroup()
for a, c in (("rojo", "celeste"), ("celeste", "verde"), ("verde", "rojo")):
pa, pb = vert[a], vert[c]
d = (pb - pa) / np.linalg.norm(pb - pa)
f = CurvedArrow(pa + d * 1.02, pb - d * 1.02, angle=-0.55,
color=COL[a], stroke_width=7, tip_length=0.26)
arrows.add(f)
b.play(LaggedStart(*[GrowFromCenter(n) for n in node_list], lag_ratio=0.2),
run_time=0.8)
b.play(LaggedStart(*[Create(f)
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