Rotationsmatrix

import numpy as np
import math
import matplotlib.path as mpath
import matplotlib.patches as mpatches
import matplotlib.pyplot as plt


# Pfad zeichnen
def drawpoly(verts: list):
    Path = mpath.Path
    path_data: list = []
    for v in verts:
        path_data.append((Path.MOVETO, (v[0], v[1])))
    path_data.append((Path.CLOSEPOLY, (verts[0][0], verts[0][1])))

    fig, ax = plt.subplots()
    codes, verts = zip(*path_data)
    path = mpath.Path(verts, codes)

    # plot control points and connecting lines
    x, y = zip(*path.vertices)
    line, = ax.plot(x, y, 'go-')

    ax.grid()
    ax.axis('equal')
    plt.show()

# Polygon
verts = [np.array([0,0, 0]),
        np.array([0,1, 0]),
        np.array([0.5,1.5, 0]),
        np.array([1,1, 0]),
        np.array([1,0, 0])]

#Winkel
a = 45
a = math.pi * (2*a/360)

# Rotationsmatrix
rotmatrix: np.ndarray = np.array([[math.cos(a), -math.sin(a), 0],
                    [math.sin(a), math.cos(a), 0],
                    [0,0,1]])

# Matrix Multiplikation
for i in range(len(verts)):
    verts[i] = verts[i].dot(rotmatrix)

drawpoly(verts)