"Pattern" Drawing by Functions 4

function_plotting_py.ipynb

import numpy,pylab; pi=numpy.pi 

def randi(nmin,nmax): return numpy.random.randint(nmin,nmax)

def t(i): return numpy.arange((i-1)*pi/24,i*pi/24,1/10**4)

def x(a,b,i,k): return numpy.cos(t(i)+k*pi/6)+numpy.cos(a*t(i))/2+numpy.sin((a+b)*t(i))/3

def y(a,b,i,k): return numpy.sin(t(i)+k*pi/6)+numpy.sin(a*t(i))/2+numpy.cos((a+b)*t(i))/3

A,B=randi(5,15),randi(10,36) 

pylab.figure(figsize=(10,10)); ax=pylab.gca(); ax.set_facecolor('ghostwhite')

for i in range(48):

  col=[numpy.random.random(3)]

  for k in range(12): pylab.scatter(x(A,B,i,k),y(A,B,i,k),s=.1**3,c=col)

pylab.title('a=%d; b=%d'%(A,B)); pylab.grid(); pylab.show()