如何在单个图中绘制多个参数图？

Question

我需要在单个图中为代码中提到的每个 alpha 值绘制一系列参数曲线

import numpy as np
from sympy import *  
from sympy.plotting import plot_parametric
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D


a=45
t = symbols('t')
for alpha in np.arange(0.5,3,.1):
    M=a*sqrt(cos(2*t)+sqrt(pow(alpha,4)+pow(sin(2*t),2)))
    x = M*cos(t)
    y = M*sin(t)
    plot_parametric(x, y, (t, 0, 2*pi))

代码 returns 每个 alpha 值的二维图序列。相反，我想在一个图中绘制整组图，就像附上这张图片

有什么解决办法吗？

Answer 1

from numpy import arange, cos, linspace, pi, sin, sqrt
from matplotlib.pyplot import colorbar, Normalize, show, subplots
from matplotlib.cm import ScalarMappable, viridis

a=45
t= linspace(0, 2*pi, 2001)

norm = Normalize(vmin=0.5, vmax=3)
cmap = viridis
sm = ScalarMappable(cmap=cmap, norm=norm)

fig, (ax_xy, ax_tM) = subplots(1, 2, figsize=(10, 4), constrained_layout=1)

for alpha in arange(0.5,3,.1):
    color = cmap(norm(alpha))
    M=a*sqrt(cos(2*t)+sqrt(pow(alpha,4)+pow(sin(2*t),2)))
    x = M*cos(t)
    y = M*sin(t)
    ax_tM.plot(t, M, color=color)
    ax_xy.plot(x, y, color=color)
colorbar(sm, aspect=40)
show()

如何在单个图中绘制多个参数图？

How to plot multiple parametric plots in a single figure?

python

parametric-equations