python画五边形，六边形，n边形（n＞=3）

要求：设计一个窗体，有1个800*800的画布组件，4个按钮Star、Red、Blue、Clear。按下 Star后在画布显示一个黄色的五边形，按下Red后，五边形变为红色;按下Blue后，五边形变为蓝色:按下 Clear 后清空画布。效果如下：

 

from tkinter import Tk, Canvas, Button
import math

def fivezheng(color):
    canvas.delete("all")  
    center_x = 400
    center_y = 400
    r = 100  
    points = []
    for k in range(5):
        x = center_x + r * math.cos(2 * math.pi * k / 5 + math.pi / 2)
        y = center_y + r * math.sin(2 * math.pi * k / 5 + math.pi / 2)
        points.append(x)
        points.append(y)
    canvas.create_polygon(points, fill=color)

root = Tk()
canvas = Canvas(root, width=800, height=800)
canvas.pack()

def star_button_pressed():
    fivezheng("yellow")

def red_button_pressed():
    fivezheng("red")

def blue_button_pressed():
    fivezheng("blue")

def clear_button_pressed():
    canvas.delete("all")

star_button = Button(root, text="Star", command=star_button_pressed)
star_button.pack()
red_button = Button(root, text="Red", command=red_button_pressed)
red_button.pack()
blue_button = Button(root, text="Blue", command=blue_button_pressed)
blue_button.pack()
clear_button = Button(root, text="Clear", command=clear_button_pressed)
clear_button.pack()

root.mainloop()

六边形：

效果如下：

from tkinter import Tk, Canvas, Button
import math

root = Tk()

canvas = Canvas(root, width=800, height=800)
canvas.pack()

hexagon_color = "yellow"

def sixstar(radius):
    points = []
    for i in range(6):
        angle = 2 * math.pi * i / 6
        x = radius * math.cos(angle) + 400
        y = radius * math.sin(angle) + 400
        points.extend([x, y])
    return points

def draw_sixstar():
    canvas.delete("all")
    radius = 150
    points = sixstar(radius)
    canvas.create_polygon(points, fill=hexagon_color)

def change_red():
    global hexagon_color
    hexagon_color = "red"
    draw_sixstar()

def change_blue():
    global hexagon_color
    hexagon_color = "blue"
    draw_sixstar()

def clear_canvas():
    canvas.delete("all")

start_button = Button(root, text="Hexagon", command=draw_sixstar)
start_button.pack()

red_button = Button(root, text="Red", command=change_red)
red_button.pack()

blue_button = Button(root, text="Blue", command=change_blue)
blue_button.pack()

clear_button = Button(root, text="Clear", command=clear_canvas)
clear_button.pack()

root.mainloop()

n边形：

其实只改了计算点的部分：

from tkinter import Tk, Canvas, Button
import math

root = Tk()

canvas = Canvas(root, width=800, height=800)
canvas.pack()

polygon_color = "yellow"

n=int(input())

def nbian(radius):
    points = []
    for i in range(n):
        angle = 2 * math.pi * i / n
        x = radius * math.cos(angle) + 400
        y = radius * math.sin(angle) + 400
        points.extend([x, y])
    return points

def draw_nbian():
    canvas.delete("all")    radius = 150
    points = nbian(radius)
    canvas.create_polygon(points, fill=polygon_color) 
def change _red():
    global polygon_color
    polygon_color = "red"
    draw_nbian()  

def change _blue():
    global polygon_color
    polygon_color = "blue"
    draw_nbian()
def clear_canvas():
    canvas.delete("all") 

start_button = Button(root, text=f"{n}-gon", command=draw_nbian)
start_button.pack()

red_button = Button(root, text="Red", command=change _red)
red_button.pack()

blue_button = Button(root, text="Blue", command=change _blue)
blue_button.pack()

clear_button = Button(root, text="Clear", command=clear_canvas)
clear_button.pack()

root.mainloop()