Conway's Life Low Resolution Gif

Conway's Life

Conway's Life Medium Resolution Gif

A Python Programming Primer

Conway's Life High Resolution Gif

Conway's Life: One Dimensional Bitwise Operators

import numpy as np
from import imsave

def game_life_image(life, width, length, sN):
    '''creates image showing linear evolution of Conways Game of Life
    seed (life) value at top, evolution proceedes linearly downward
    life = seed value, initial state, any integer value under 2**width
    width = size of image (width of playing field)
    length = height of image (number of turns)
    sN = save name for image file

    img = []
    for x in range(1,length):
        print '{: <4}  {}'.format(x, np.binary_repr(life,width))
        img.append([float(i) for i in np.binary_repr(life,width)])
        #evolution logic using bitwise operators
        life = (life | life<<1 | life>>1) & ~(life & life<<1 & life>>1)

        #eliminates overflow, keeping image at a constant width
        if life > 2**width:
            life -= 2**width 
    img = np.array(img)
    print img.shape
    print img
    imsave(sN, img)

def one_dimensional_game_life_samples():
    '''creates a series of sample images for game_life_image()
    manually change w and testValues as desired
    w = 250
    testValues = [(0,w,w, "life_%d_%d_0.png" % (w,w)),
                  (1,w,w, "life_%d_%d_1.png" % (w,w)),
                  (471,w,w*10, "life_%d_%d_471.png" % (w,w*10)),
                       "life_%d_%d_1110000000.png" % (w,w*10)),
                       "life_%d_%d_10101.png" % (w,w*10)),
                       "life_%d_%d_11100.png" % (w,w*10)),
                       "life_%d_%d_0111001110.png" % (w,w*10)),
    for a,b,c,d in testValues:


The Last Four Images Thus Derived

Conway's Life: Bitwise Linear Output 1110000000
Conway's Life: Bitwise Linear Output 10101
Conway's Life: Bitwise Linear Output 11100
Conway's Life: Bitwise Linear Output 0111001110

Conway's Life: Two Dimensional using Numpy Roll

import numpy as np
import moviepy.editor as mpy

def evolution(seed):
    '''Conway's life two-dimensional turn logic
    given seed, returns next incremental step in Game of Life

    #Cheesy, perhaps, but it gets the job done
    #These shift the array, up, down, right, left, etc.
    down = np.roll(seed,1,0)
    up = np.roll(seed,-1,0)
    right = np.roll(seed,1,1)
    left = np.roll(seed,-1,1)
    upRight = np.roll(right,-1,0)
    upLeft = np.roll(left,-1,0)
    downRight = np.roll(right,1,0)
    downLeft = np.roll(left,1,0)
    #adding all the shifted arrays together, overweighting original
    s = (down + up + right + left + 
              upRight + upLeft + downRight + downLeft + 10*seed)

    #logic of the Game of Life
    s[s==1.0] = 0.0
    s[s==13.0] = 1.0
    s[s==12.0] = 1.0
    s[s==3.0] = 1.0
    s[s!=1.0] = 0.0
    print s
    return s

def two_dimensional_life_samples():
    '''convenience function to quickly create series of gifs
    manually change testValues as appropriate

    testValues = [(np.array(np.random.randint(0,2,(50,500)), float),
                (np.array(np.random.randint(0,2,(10,100)), float),
                  (np.array(np.random.randint(0,2,(100,1000)), float),
    for seed,frames,sN in testValues:

        #holding array for stacked image-like arrays
        gifArray = []
        for _ in range(frames):
            seed = evolution(seed)
            gifArray.append(seed*255) #255 converts 0.0-1.0 to 0-255
        #using the moviepy library to make a gif
        clip = mpy.ImageSequenceClip(gifArray, fps=5)


With the Images Thus Derived Closing Out the Page

Conway's Life High Resolution Gif

For More Code
Brett Code

Conway's Life Medium Resolution Gif

For Only the Greatest Story Ever Written
Minataur Tails

Conway's Life Low Resolution Gif

Conway's Life High Resolution One Dimensional All Ones Seed
Conway's Life: 1000x1000 All Ones Seed
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