设计异形迷宫,不同于传统的方形迷宫,异形迷宫 中每个迷宫单元是由相同的多边形组成,如图,是 一个六边形迷宫,每一个单元格与其它单元格最多 有六个通道可以连接。 1)自动生成并走出迷宫。 2)迷宫单元的边数由用户输入确定。c
时间: 2024-04-30 07:21:17 浏览: 100
生成异形迷宫可以使用递归分割算法(recursive division algorithm),该算法可以用于生成各种形状的迷宫。其中,要求用户输入迷宫单元的边数,然后通过该边数确定每个单元格的形状。
以下是一个基于 Python 的简单实现,生成六边形迷宫:
import random
# 定义迷宫单元形状
class Hexagon:
def __init__(self, x, y, size):
self.x = x
self.y = y
self.size = size
self.edges = []
self.visited = False
def draw(self):
# 绘制六边形
pass
# 定义递归分割算法
def recursive_division(maze, x1, y1, x2, y2):
if x2 - x1 < 2 or y2 - y1 < 2:
return
# 随机选择一个墙壁,将其打通
if x2 - x1 > y2 - y1:
wall_x = random.randint(x1 + 1, x2 - 1)
hole_y = random.randint(y1, y2)
for i in range(y1, y2+1):
if i != hole_y:
maze[wall_x][i].edges.remove((maze[wall_x][i-1], maze[wall_x][i+1]))
maze[wall_x][i-1].edges.remove((maze[wall_x][i], maze[wall_x][i-1]))
maze[wall_x][i+1].edges.remove((maze[wall_x][i], maze[wall_x][i+1]))
else:
wall_y = random.randint(y1 + 1, y2 - 1)
hole_x = random.randint(x1, x2)
for i in range(x1, x2+1):
if i != hole_x:
maze[i][wall_y].edges.remove((maze[i-1][wall_y], maze[i][wall_y-1]))
maze[i-1][wall_y].edges.remove((maze[i-1][wall_y], maze[i][wall_y]))
maze[i][wall_y-1].edges.remove((maze[i][wall_y], maze[i][wall_y-1]))
# 递归划分子区域
recursive_division(maze, x1, y1, wall_x, y2)
recursive_division(maze, wall_x + 1, y1, x2, y2)
recursive_division(maze, x1, y1, x2, wall_y)
recursive_division(maze, x1, wall_y + 1, x2, y2)
# 生成迷宫
def generate_maze(size, edge_num):
# 计算单元格数量
cols = size
rows = int(size * (edge_num - 2) / (4 * (edge_num - 1)))
if rows % 2 == 0:
rows += 1
# 初始化单元格
maze = [[Hexagon(0, 0, 0) for j in range(rows)] for i in range(cols)]
for i in range(cols):
for j in range(rows):
x = i * 1.5 * edge_num
if i % 2 == 1:
x += 0.75 * edge_num
y = j * 2 * (edge_num - 1) / 2
maze[i][j] = Hexagon(x, y, edge_num)
if i > 0:
maze[i][j].edges.append((maze[i-1][j], maze[i][j]))
maze[i-1][j].edges.append((maze[i][j], maze[i-1][j]))
if j > 0:
if i % 2 == 0:
maze[i][j].edges.append((maze[i][j-1], maze[i][j]))
maze[i][j-1].edges.append((maze[i][j], maze[i][j-1]))
else:
maze[i][j].edges.append((maze[i][j-1], maze[i][j]))
maze[i][j-1].edges.append((maze[i][j], maze[i][j-1]))
# 递归分割区域
recursive_division(maze, 0, 0, cols-1, rows-1)
# 返回迷宫
return maze
# 走出迷宫
def solve_maze(maze):
# 寻找起点和终点
start = None
end = None
for i in range(len(maze)):
for j in range(len(maze[0])):
if i == 0:
start = maze[i][j]
elif i == len(maze) - 1:
end = maze[i][j]
if not start or not end:
return []
# 使用深度优先搜索算法找到路径
def dfs(node):
if node == end:
return [node]
node.visited = True
for neighbor in node.edges:
if not neighbor[0].visited:
path = dfs(neighbor[0])
if path:
return [node] + path
return []
path = dfs(start)
return path
# 测试生成迷宫和走出迷宫
maze = generate_maze(10, 6)
for row in maze:
for cell in row:
cell.draw()
path = solve_maze(maze)
for cell in path:
cell.draw()
该代码仅作为示例,需要根据具体情况进行修改和优化。