在 matplotlib 中绘制六角形的每个顶点和交点处的标签

Question

我正在尝试生成下图“六边形或六角星形多边形，其中数字放置在六个顶点和六个交点的每一个处”。

下面是我到目前为止的代码。我一直在试图找到六边形的顶点来绘制那里的数字。

import matplotlib.pyplot as plt
import math

def plot_hexagram_with_numbers(side_length):
    # Calculate the coordinates for the vertices of the hexagram
    vertices = []
    mu_hexagon = 360 / 6
    for i in range(6):
        angle_rad = math.radians(i * mu_hexagon)
        x = side_length * math.cos(angle_rad)
        y = side_length * math.sin(angle_rad)
        vertices.append((x, y))

    # Create a list of triangles' vertices for the hexagram
    triangles = []
    for i in range(6):
        triangle = [vertices[i], vertices[(i + 2) % 6], vertices[(i + 4) % 6]]
        triangles.append(triangle)

    # Plot the hexagram's triangles
    for triangle in triangles:
        x_coords, y_coords = zip(*triangle)
        plt.plot(x_coords, y_coords, 'b-')

    # Add numbers at each vertex and intersection of the hexagram
    label_distance = side_length / 20  # Adjust this value as needed
    for i in range(6):
        x, y = vertices[i]
        # cant figure out how to find the edges/intersections :( 

    # Set axis equal and show the plot
    plt.axis('equal')
    plt.show()

这是上面代码生成的图像：