| 导读 | 这个Python + Pygame程序绘制了4条衰减正弦波的轨迹，每条轴2条，彩虹色。 它会生成一系列随机谐波图（harmonographs）。 |
harmonograph是通常在科学博物馆中看到的机械设备，它有两个或多个带有笔的摆锤，可以在一张纸上画画。 摆笔运动，笔在纸上画出漂亮的图案。 通过绘制一起作用在绘图点上的正交正弦波，可以在计算机程序中轻松模拟这一点。 这会生成利萨如图形（Lissajous-Figure），这些图形会被衰减以形成令人愉悦的“平行”线嵌套，就像您在钞票上看到的那样。
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它的速度很快，并且可以根据需要将其设置为更快（或更慢）。 提示：将显示窗口设置为全屏。 MIT许可证； 从GitHub下载
#!/usr/bin/python
''' Spectral Harmonographs Copyright 2014 Alan Richmond (Tuxar.uk)
'''
print("Quit: q key, Screenshot: spacebar")
import pygame, sys, random as r
from pygame.locals import *
from math import pi, sin, cos, exp
# EDIT THESE:
width,height=1280,720 # YouTube HD
width,height=1920,1080 # my left monitor
width,height=1280,1024 # my right monitor
width,height=1680,1050 # Lucy's monitor
width,height=1200,800
#width,height=2560,1440 # YT channel art
dd=0.99995 # decay factor
dt=0.02 # time increment
speed=200 # yes, speed
hui=57*2 # Hue increment
hue,sat,val,aaa=0,100,100,0
sd=0.005 # frequency spread (from integer)
mx=4 # max range for amplitudes & frequencies
print("Hit SPACE to save")
def check_event():
global save
for event in pygame.event.get():
if event.type == QUIT:
sys.exit()
elif event.type == KEYDOWN and event.key == K_q:
sys.exit()
elif event.type == KEYDOWN and event.key == K_SPACE:
save=True
print("Saving when finished...")
def scale(length):
while True:
a1,a2=r.randint(-mx,mx),r.randint(-mx,mx)
max=abs(a1)+abs(a2)
if max>0: break
return a1,a2,length/(2*max)
steps=0
pygame.init()
pygame.event.set_allowed([QUIT, KEYDOWN])
screen = pygame.display.set_mode((width,height),DOUBLEBUF)
screen.set_alpha(None)
#fg=pygame.Color(0,0,0,0)
#fg=(0,0,0)
fg=(255,255,255)
save=False
while True:
# Amplitudes & scales
ax1,ax2,xscale=scale(width)
ay1,ay2,yscale=scale(height)
fx1, fx2 = r.randint(1,mx) + r.gauss(0,sd), r.randint(1,mx) + r.gauss(0,sd)
fy1, fy2 = r.randint(1,mx) + r.gauss(0,sd), r.randint(1,mx) + r.gauss(0,sd)
px1, px2 = r.uniform(0,2*pi), r.uniform(0,2*pi)
py1, py2 = r.uniform(0,2*pi), r.uniform(0,2*pi)
print(ax1,ax2,ay1,ay2)
print(fx1,fx2,fy1,fy2)
print(px1,px2,py1,py2)
dec=1.0
t=0.0 # angle for sin
first=True
while dec>0.015:
# calculate next x,y point along line
x = xscale * dec * (ax1*sin(t * fx1 + px1) + ax2*sin(t * fx2 + px2)) + width/2
y = yscale * dec * (ay1*sin(t * fy1 + py1) + ay2*sin(t * fy2 + py2)) + height/2
dec*=dd # decay
if not first: # ignore any complaint about prev_x,y being undefined
# fg.hsva=(hue,sat,val,aaa)
# hue = (hue + dt*hui) % 360 # cycle hue
pygame.draw.aaline(screen, fg, (x, y), (prev_x, prev_y), 1)
else:
first=False
prev_x = x # save x,y for next line segment start
prev_y = y
if steps%speed==0: pygame.display.update()
steps+=1
t+=dt # increment angle for sin
check_event()
if save: # parameters are encoded into filename
pars='shg-{0}_{1}-{2}_{3}-{4}_{5}'.format(ax1,ax2,fx1,fx2,px1,px2)
pygame.image.save(screen, pars+'.jpg')
print("Saved as "+pars+'.jpg')
save=False
screen.fill((0,0,0))
# screen.fill((255,255,255))例如在Ubuntu/Debian版的 Linux上，你可能需要安装python和/或pygame:
sudo apt-get install pygame sudo apt-get install python
进入你保存它的目录，让它可执行，然后运行它:
chmod +x harmonograph.py ./harmonograph.py
效果图：
原文来自： https://www.linuxprobe.com/python-pygame.html
