Tkinter编写一个程序显示递归树且可控制分叉数且只在枝头分叉

下面是一个简单的Tkinter程序，可以显示递归树并且可以控制分叉数，只在枝头分叉。代码中使用了递归的方式生成树形结构，并使用Canvas来显示。

import tkinter as tk


class Tree:
    def __init__(self, canvas, x, y, angle, depth, max_depth, branch_len, branch_width, branch_angle):
        self.canvas = canvas
        self.x = x
        self.y = y
        self.angle = angle
        self.depth = depth
        self.max_depth = max_depth
        self.branch_len = branch_len
        self.branch_width = branch_width
        self.branch_angle = branch_angle

    def draw(self):
        if self.depth > self.max_depth:
            return

        x2 = self.x + self.branch_len * tk.cos(self.angle)
        y2 = self.y - self.branch_len * tk.sin(self.angle)

        self.canvas.create_line(self.x, self.y, x2, y2, width=self.branch_width)

        self.angle += self.branch_angle

        if self.depth < self.max_depth:
            for i in range(self.branch_width):
                Tree(self.canvas, x2, y2, self.angle, self.depth + 1, self.max_depth,
                     self.branch_len * 0.8, self.branch_width - 1, self.branch_angle * 0.8).draw()

    def set_branch_width(self, width):
        self.branch_width = width

    def set_branch_angle(self, angle):
        self.branch_angle = angle


class App:
    def __init__(self):
        self.window = tk.Tk()
        self.window.title("Recursive Tree")

        self.canvas = tk.Canvas(self.window, width=600, height=600, bg='white')
        self.canvas.pack()

        self.depth_scale = tk.Scale(self.window, from_=1, to=10, orient=tk.HORIZONTAL, label='Depth',
                                    command=self.draw_tree)
        self.depth_scale.pack()

        self.branch_scale = tk.Scale(self.window, from_=10, to=100, orient=tk.HORIZONTAL, label='Branch Length',
                                     command=self.draw_tree)
        self.branch_scale.pack()

        self.width_scale = tk.Scale(self.window, from_=1, to=10, orient=tk.HORIZONTAL, label='Branch Width',
                                    command=self.set_branch_width)
        self.width_scale.pack()

        self.angle_scale = tk.Scale(self.window, from_=0, to_=360, orient=tk.HORIZONTAL, label='Branch Angle',
                                    command=self.set_branch_angle)
        self.angle_scale.pack()

        self.draw_tree()

        self.window.mainloop()

    def draw_tree(self, event=None):
        self.canvas.delete('all')
        max_depth = self.depth_scale.get()
        branch_len = self.branch_scale.get()
        branch_width = self.width_scale.get()
        branch_angle = self.angle_scale.get() * tk.pi / 180
        Tree(self.canvas, 300, 500, -tk.pi / 2, 1, max_depth, branch_len, branch_width, branch_angle).draw()

    def set_branch_width(self, width):
        self.canvas.delete('all')
        max_depth = self.depth_scale.get()
        branch_len = self.branch_scale.get()
        branch_width = int(width)
        branch_angle = self.angle_scale.get() * tk.pi / 180
        tree = Tree(self.canvas, 300, 500, -tk.pi / 2, 1, max_depth, branch_len, branch_width, branch_angle)
        tree.draw()
        tree.set_branch_width(branch_width)

    def set_branch_angle(self, angle):
        self.canvas.delete('all')
        max_depth = self.depth_scale.get()
        branch_len = self.branch_scale.get()
        branch_width = self.width_scale.get()
        branch_angle = int(angle) * tk.pi / 180
        tree = Tree(self.canvas, 300, 500, -tk.pi / 2, 1, max_depth, branch_len, branch_width, branch_angle)
        tree.draw()
        tree.set_branch_angle(branch_angle)


if __name__ == '__main__':
    app = App()

程序中使用了Scale控件来控制树的深度、分支长度、分支宽度和分支角度。在程序中，我们使用Tree类来表示树的结构，并使用draw方法来递归绘制树的结构。set_branch_width和set_branch_angle方法可以用来改变分支的宽度和角度。