import numpy as np
import matplotlib.pyplot as plt
from IPython.display import display,Math

display(Math('me^{ik}'))

$\displaystyle me^{ik}$

nvects = 200
ms = np.random.rand(nvects)
ks = np.random.rand(nvects)*2*np.pi

for i in range(0,nvects):
    
    r = np.random.rand()
    
    if r<.4:
        clr = [1,.2,.7]
    elif r>.4 and r<.8:
        clr = [.7,.2,1]
    else:
        clr = [0,1,0]

    plt.polar([0,ks[i]],[0,ms[i]],color=clr)
    
plt.axis('off')
plt.show()