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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 *
Y0, Y1 = -3.25, 4.20 # ends of the log axis
L0, L1 = -1.0, 11.8 # log10 of the thickness in mm
BAR_X, BAR_W = -3.15, 1.0
MOON_MM = 3.844e11
def ypos(mm):
L = max(min(math.log10(mm), L1), L0)
return Y0 + (L - L0) / (L1 - L0) * (Y1 - Y0)
def thickness(n):
return 0.1 * (2 ** n)
def human(mm):
if mm < 10:
return f"{mm:.1f} mm".replace(".", ",")
if mm < 1e4:
return f"{mm/10:.0f} cm"
if mm < 1e7:
return f"{mm/1000:,.0f} m".replace(",", ".")
return f"{mm/1e6:,.0f} km".replace(",", ".")
class Moon(TikTok):
NAME = "luna"
def moon(self, r=0.62):
m = Circle(radius=r, stroke_width=0, fill_color="#D9DEE8", fill_opacity=1)
cr = VGroup(
Dot(m.get_center() + LEFT * 0.2 * r + UP * 0.3 * r, radius=0.16 * r, color="#AEB6C6"),
Dot(m.get_center() + RIGHT * 0.35 * r + DOWN * 0.1 * r, radius=0.11 * r, color="#AEB6C6"),
Dot(m.get_center() + LEFT * 0.1 * r + DOWN * 0.42 * r, radius=0.09 * r, color="#AEB6C6"),
)
return VGroup(m, cr)
def construct(self):
self.prepare()
chip = self.chip("Crecimiento exponencial", C_SKY)
# ---------- hook ----------
with self.beat(0) as b:
sheet = Rectangle(width=1.9, height=2.5, stroke_color="#C9D2E3", stroke_width=5,
fill_color="#1A2440", fill_opacity=1).move_to(LEFT * 2.3 + UP * 2.6)
fold = Line(sheet.get_corner(UL) + RIGHT * 0.55, sheet.get_corner(DL) + RIGHT * 0.55,
stroke_width=3, color="#5E6B87")
moon_m = self.moon(0.95).move_to(RIGHT * 2.4 + UP * 2.6)
ar = Arrow(sheet.get_right() + RIGHT * 0.15, moon_m.get_left() + LEFT * 0.15,
buff=0, color=AMBER, stroke_width=9)
tag = self.fit(Text("42 dobleces", font=FONT, font_size=46, weight=BOLD,
color=AMBER), 7.5).next_to(ar, UP, buff=0.3)
b.play(FadeIn(chip, shift=DOWN * 0.3), run_time=0.45)
b.play(FadeIn(sheet), Create(fold), run_time=0.5)
b.play(GrowArrow(ar), FadeIn(tag), run_time=0.6)
b.play(FadeIn(moon_m, scale=0.6), run_time=0.6)
hook = VGroup(sheet, fold, moon_m, ar, tag)
# ---------- the axis --------
axis = Line([BAR_X, Y0, 0], [BAR_X, Y1 + 0.3, 0], stroke_width=5, color="#3A4766")
base = Line([BAR_X - 0.75, Y0, 0], [4.2, Y0, 0], stroke_width=5, color="#3A4766")
milestones = [(1e2, "10 cm"), (1e5, "100 m"), (1e8, "100 km")]
marks = VGroup()
for mm, txt in milestones:
y = ypos(mm)
ln = DashedLine([BAR_X - 0.5, y, 0], [3.9, y, 0], stroke_width=3,
color="#33405C", dash_length=0.12)
lb = Text(txt, font=FONT, font_size=30, color=C_GRAY)
lb.next_to(ln, UP, buff=0.08).align_to(ln, RIGHT)
marks.add(VGroup(ln, lb))
ym = ypos(MOON_MM)
moon_line = DashedLine([BAR_X - 0.5, ym, 0], [3.4, ym, 0], stroke_width=4,
color="#D9DEE8", dash_length=0.14)
moon_ic = self.moon(0.42).move_to([3.85, ym, 0])
moon_lb = Text("LUNA 384.000 km", font=FONT, font_size=30, weight=BOLD, color="#D9DEE8")
moon_lb.next_to(moon_line, UP, buff=0.1).align_to(moon_line, RIGHT).shift(LEFT * 0.1)
readout = VGroup(
Text("0", font=FONT, font_size=68, weight=BOLD, color=AMBER),
Text("dobleces", font=FONT, font_size=28, color=C_GRAY),
Text("0,1 mm", font=FONT, font_size=44, weight=BOLD, color=WHITE),
)
readout[0:2].arrange(RIGHT, buff=0.25, aligned_edge=DOWN)
readout.arrange(RIGHT, buff=0.5, aligned_edge=DOWN).move_to(UP * 5.6)
bar = Rectangle(width=BAR_W, height=0.02, stroke_width=0,
fill_color=AMBER, fill_opacity=1)
bar.move_to([BAR_X + BAR_W / 2 + 0.06, Y0, 0], DOWN + LEFT)
with self.beat(1) as b:
b.play(FadeOut(hook), run_time=0.4)
b.play(Create(axis), Create(base), run_time=0.5)
b.play(LaggedStart(*[FadeIn(m) for m in marks], lag_ratio=0.2), run_time=0.8)
b.play(Create(moon_line), FadeIn(moon_ic), FadeIn(moon_lb), run_time=0.6)
state = {"n": 0}
def goto(bt, n, rt=0.9, extra=None):
mm = thickness(n)
h = max(ypos(mm) - Y0, 0.02)
new_bar = bar.copy().stretch_to_fit_height(h).move_to(
[BAR_X + BAR_W / 2 + 0.06, Y0, 0], DOWN + LEFT)
nr = VGroup(
Text(str(n), font=FONT, font_size=68, weight=BOLD, color=AMBER),
Text("dobleces" if n != 1 else "doblez", font=FONT, font_size=28, color=C_GRAY),
Text(human(mm), font=FONT, font_size=44, weight=BOLD, color=WHITE),
)
nr[0:2].arrange(RIGHT, buff=0.25, aligned_edge=DOWN)
nr.arrange(RIGHT, buff=0.5, aligned_edge=DOWN).move_to(UP * 5.6)
self.fit(nr, 8.2)
anims = [Transform(bar, new_bar), Transform(readout, nr)]
if extra:
anims += extra
bt.play(*anims, run_time=rt)
state["n"] = n
with self.beat(2) as b:
b.play(FadeIn(readout), FadeIn(bar), run_time=0.5)
b.play(Indicate(readout[2], color=AMBER, scale_factor=1.3), run_time=0.7)
with self.beat(3) as b:
goto(b, 1, 0.7)
goto(b, 2, 0.7)
with self.beat(4) as b:
goto(b, 10, 1.1, [Flash(marks[0][1], color=AMBER, line_length=0.3,
num_lines=12, flash_radius=0.8)])
with self.beat(5) as b:
goto(b, 20, 1.1, [Flash(marks[1][1], color=AMBER, line_length=0.3,
num_lines=12, flash_radius=0.8)])
with self.beat(6) as b:
goto(b, 30, 1.1, [Flash(marks[2][1], color=AMBER, line_length=0.3,
num_lines=12, flash_radius=0.8)])
atm = Text("fuera de la atmósfera", font=FONT, font_size=32,
weight=BOLD, color=C_SKY).move_to([0.9, ypos(1e8) - 0.6, 0])
b.play(FadeIn(atm, shift=UP * 0.1), run_time=0.5)
with self.beat(7) as b:
b.play(FadeOut(atm), run_time=0.25)
goto(b, 40, 1.2)
with self.beat(8) as b:
goto(b, 42, 1.3)
b.play(Flash(moon_ic, color="#D9DEE8", line_length=0.55,
num_lines=18, flash_radius=1.1), run_time=0.8)
with self.beat(9) as b:
over = Text("te pasaste de largo", font=FONT, font_size=44, weight=BOLD, color=C_GREEN)
over.move_to([0.75, ym - 0.95, 0])
self.fit(over, 5.6)
b.play(FadeIn(over, shift=UP * 0.15), run_time=0.6)
b.play(Circumscribe(over, color=C_GREEN, buff=0.22, stroke_width=6), run_time=0.9)
with self.beat(10) as b:
b.play(FadeOut(VGroup(axis, base, marks, moon_line, moon_ic, moon_lb,
bar, over, readout)), run_time=0.6)
t1 = self.fit(Text("crecimiento", font=FONT, font_size=74, weight=BOLD,
color=WHITE), 8.0)
t2 = self.fit(Text("EXPONENCIAL", font=FONT, font_size=90, weight=BOLD,
color=AMBER), 8.2)
g = VGroup(t1, t2).arrange(DOWN, buff=0.3).move_to(UP * 1.6)
t3 = self.fit(Text("por eso nadie lo ve venir", font=FONT, font_size=40,
color=C_GRAY), 7.6).next_to(g, DOWN, buff=0.7)
b.play(FadeIn(t1, shift=UP * 0.2), run_time=0.5)
b.play(FadeIn(t2, scale=0.7), run_time=0.6)
b.play(FadeIn(t3), run_time=0.5)
self.finish()
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