Python code: harmonics in FIG Pygame

You may explore the Science Museum or the Museum or explore the technology seen in these devices, there are some arrangements for a drawing surface and the pendulum, pen touch the paper start moving on the drawing surface, which draw these beautiful pictures, essentially It is the attenuation of Lissajous (Lissajous). Lissajous graphics often appear in science fiction movies before, on an oscilloscope, you can use sine waves of different frequencies in the x, y-axis.

When I was a boy, I read these stories, so I'm in a dark room with a flashlight to three lines hanging from the ceiling, set up a timed exposure of the camera on the floor, facing the rock flashlight, create my own flashlight. When I come into contact with a computer graphics function, I wrote a mathematical simulation program.

6 attenuation sine wave, each of three axes (x and y) (i.e., 3-pendula)

Exit by q, the key s with the screenshots

Use PyGame be IO.

FIG Pygame harmonics code is as follows:

import pygame
import sys
import time
import tempfile
from math import pi, sin, cos
from pygame.locals import *

pygame.init()
p2=1.57
p4=p2/2.0
#                        Edit these:
ax = [-2,2,0]
ay = [1.5,1.5,0]
fx = [-1,.99,.5]
fy = [.99,1,.49]
px = [0,p2,0]
py = [p4,0,0]
dd=0.00003
black=(0,0,0)               # Fore- and background colors
white=(255,255,255)
bg=black
fg=white
inc=0.04

width,height=1024,768       # Window size
aspect=width/height*1.0
yscale=120
xscale=yscale*aspect
d=1              # resolution

screen = pygame.display.set_mode((width,height))    # You can add FULLSCREEN as last parameter
screen.fill(bg)

t=0.0                       # angle for sin
first=True
while 1:
    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:
            restart=True
        elif event.type == KEYDOWN and event.key == K_s:
            pars="a,f,p(x,y)="+str(ax)+str(ay)+str(fx)+str(fy)+str(px)+str(py)
            myfont = pygame.font.SysFont("monospace", 15)
            label = myfont.render(pars, 1, (100,100,100))
            screen.blit(label, (100, height-15))
            tf=tempfile.NamedTemporaryFile(prefix='hg', suffix='.jpg', dir ='.', delete=False)
            pygame.image.save(screen, tf.name)
                            # calculate next x,y point along line
    x = xscale * d * (ax[0]*sin(t * fx[0] + px[0]) +
                      ax[1]*sin(t * fx[1] + px[1]) +
                      ax[2]*sin(t * fx[2] + px[2])) + width/2
    y = yscale * d * (ay[0]*cos(t * fy[0] + py[0]) +
                      ay[1]*cos(t * fy[1] + py[1]) +
                      ay[2]*cos(t * fy[2] + py[2])) + height/2

    d = d - dd

    if not first:           # ignore any complaint about prev_x,y being undefined
        pygame.draw.aaline(screen, fg, (x, y), (prev_x, prev_y), 2)
    else:
        first=False

    prev_x = x              # save x,y for next line segment start
    prev_y = y

    pygame.display.update()
    t+=inc                  # increment angle for sin