用Python简陋模拟n阶魔方

一、前言

终于整完了毕业论文，忙里偷闲半小时摸了个魔方模拟程序，支持模拟任意阶魔方，自动打乱，输入指令旋转。显示方面不会弄3D的，用opencv整了个展开图。

二、效果

五阶魔方打乱20步

震撼人心50阶，打乱100步

三、代码

import cv2
import numpy as np
from random import randint


class Cube:
    def __init__(self, order=3, size=50):  # 魔方阶数、显示尺寸
        self.img = np.zeros((4 * size * order, 3 * size * order, 3), dtype=np.uint8)
        self.order = order
        self.size = size
        self.len = size * order
        self.top = [['y'] * order for _ in range(order)]
        self.front = [['r'] * order for _ in range(order)]
        self.left = [['b'] * order for _ in range(order)]
        self.right = [['g'] * order for _ in range(order)]
        self.back = [['o'] * order for _ in range(order)]
        self.bottom = [['w'] * order for _ in range(order)]
        self.axis_rotate = (self.base_rotate_x, self.base_rotate_y, self.base_rotate_z)
        self.color = {'y': (0, 255, 255), 'r': (0, 0, 255), 'b': (255, 0, 0),
                      'g': (0, 255, 0), 'o': (0, 128, 255), 'w': (255, 255, 255)}

    def check(self):  # 检测魔方是否还原
        for i in range(self.order):
            for j in range(self.order):
                if self.top[i][j] != self.top[0][0]:
                    return False
                if self.back[i][j] != self.back[0][0]:
                    return False
                if self.front[i][j] != self.front[0][0]:
                    return False
                if self.left[i][j] != self.left[0][0]:
                    return False
                if self.right[i][j] != self.right[0][0]:
                    return False
                if self.bottom[i][j] != self.bottom[0][0]:
                    return False
        return True

    def show(self, wait=0):  # 显示魔方展开图
        for i in range(self.order):
            for j in range(self.order):
                # back
                x, y = self.len + i * self.size, j * self.size
                cv2.rectangle(self.img, (x, y), (x + self.size, y + self.size), self.color[self.back[j][i]], -1)
                cv2.rectangle(self.img, (x, y), (x + self.size, y + self.size), (10, 10, 10), 1)
                # left
                x, y = i * self.size, self.len + j * self.size
                cv2.rectangle(self.img, (x, y), (x + self.size, y + self.size), self.color[self.left[j][i]], -1)
                cv2.rectangle(self.img, (x, y), (x + self.size, y + self.size), (10, 10, 10), 1)
                # top
                x, y = self.len + i * self.size, self.len + j * self.size
                cv2.rectangle(self.img, (x, y), (x + self.size, y + self.size), self.color[self.top[j][i]], -1)
                cv2.rectangle(self.img, (x, y), (x + self.size, y + self.size), (10, 10, 10), 1)
                # right
                x, y = 2 * self.len + i * self.size, self.len + j * self.size
                cv2.rectangle(self.img, (x, y), (x + self.size, y + self.size), self.color[self.right[j][i]], -1)
                cv2.rectangle(self.img, (x, y), (x + self.size, y + self.size), (10, 10, 10), 1)
                # front
                x, y = self.len + i * self.size, 2 * self.len + j * self.size
                cv2.rectangle(self.img, (x, y), (x + self.size, y + self.size), self.color[self.front[j][i]], -1)
                cv2.rectangle(self.img, (x, y), (x + self.size, y + self.size), (10, 10, 10), 1)
                # bottom
                x, y = self.len + i * self.size, 3 * self.len + j * self.size
                cv2.rectangle(self.img, (x, y), (x + self.size, y + self.size), self.color[self.bottom[j][i]], -1)
                cv2.rectangle(self.img, (x, y), (x + self.size, y + self.size), (10, 10, 10), 1)
        cv2.imshow('cube', self.img)
        cv2.waitKey(wait)

    def shuffle(self, times):  # 打乱魔方
        for _ in range(times):
            self.rotate(randint(0, 2), randint(0, self.order - 1), randint(0, 3))

    def rotate(self, axis, index, times):  # 旋转魔方：axis轴，第index层，逆时针times次
        for _ in range(times):
            self.axis_rotate[axis](index)

    def count(self, color='y'):
        count = 0
        for i in range(self.order):
            for j in range(self.order):
                if self.top[i][j] == color:
                    count += 1
        return count

    @staticmethod
    def _column_trans(surface, index, col):
        for i, r in enumerate(surface):
            r[index] = col[i]

    def base_rotate_x(self, index):
        if index == 0:
            self.left = [list(c) for c in zip(*self.left)][::-1]
        elif index == self.order - 1:
            self.right = [list(c)[::-1] for c in zip(*self.right)]
        temp = [r[index] for r in self.top]
        self._column_trans(self.top, index, [r[index] for r in self.front])
        self._column_trans(self.front, index, [r[index] for r in self.bottom])
        self._column_trans(self.bottom, index, [r[index] for r in self.back])
        self._column_trans(self.back, index, temp)

    def base_rotate_y(self, index):
        if index == 0:
            self.back = [list(c)[::-1] for c in zip(*self.back)]
        elif index == self.order - 1:
            self.front = [list(c) for c in zip(*self.front)][::-1]
        temp = self.left[index][::-1]
        self.left[index] = self.top[index]
        self.top[index] = self.right[index]
        self.right[index] = self.bottom[self.order - index - 1][::-1]
        self.bottom[self.order - index - 1] = temp

    def base_rotate_z(self, index):
        if index == 0:
            self.top = [list(c) for c in zip(*self.top)][::-1]
        elif index == self.order - 1:
            self.bottom = [list(c)[::-1] for c in zip(*self.bottom)]
        temp = self.front[index][::-1]
        self.front[index] = [r[self.order - index - 1] for r in self.left]
        self._column_trans(self.left, self.order - index - 1, self.back[self.order - index - 1][::-1])
        self.back[self.order - index - 1] = [r[index] for r in self.right]
        self._column_trans(self.right, index, temp)


cube = Cube(3, 50)
cube.shuffle(100)
while True:
    cube.show(1)
    cube.rotate(*(int(c) for c in input('axis,index,times:').split()))
    if cube.check():
        break
print('Congratulations')
cube.show(0)

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