Periods of Trigonometric Functions

function_plotting_py.ipynb

import numpy,pylab; [a,b,c]=[.01*numpy.random.randint(30,99) for i in range(3)]

d=numpy.max([a,2.*b,3.*c]); n=numpy.random.randint(5,11)

def coord(m,k,p,n):

    t=numpy.arange(0,k*numpy.pi,k*numpy.pi/(72000.*n))

    x=m*numpy.sin(p*t)*numpy.cos(t); y=m*numpy.sin(p*t)*numpy.sin(t)

    return [x,y]

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

for [x,y] in [coord(a,8.95,1.9,n),coord(b,12.18,2.3,n),coord(c,11.77,1.7,n)]:

    pylab.scatter(x,y,s=.0001,c=[numpy.random.random(3)])

pylab.title(['a=%.2f'%a,'b=%.2f'%b,'c=%.2f'%c,'d=%.2f'%d]) 

pylab.grid(c='slategray',alpha=.4); pylab.show()