利用python实现蝴蝶曲线

import matplotlib.pyplot as plt
import math

thetas =[] #用来存放极角
rhos = [] #用来存放极径

for i in range(-181, 181):
    theta = i*math.pi/180 #角度转弧度
    rho = math.exp(math.cos(theta)) - 2*math.cos(4*theta)+math.pow(math.sin(theta/12), 5) #极径
    thetas.append(theta)
    rhos.append(rho)

fig = plt.figure() #新建画布
plt.polar(thetas, rhos, color = "red") #极坐标画图
plt.title("butterfly")
plt.show()

import matplotlib.pyplot as plt
import numpy as np
import math

X = [] 
Y = [] 
theta =0

for theta in np.linspace(0, math.pi*20, 10001):
    x = math.cos(theta)*(math.exp(math.cos(theta)) - 2*math.cos(4*theta) + math.pow(math.sin(theta/12),5))
    y = math.sin(theta)*(math.exp(math.cos(theta)) - 2*math.cos(4*theta) + math.pow(math.sin(theta/12),5))
    X.append(x)
    Y.append(y)

fig = plt.figure() #新建画布
plt.plot(Y, X, color = "red", linewidth = 0.2) #极坐标画图
plt.title("butterfly")
plt.show()