🏰 COLLATZ CASTLE / 考拉兹城堡 🏰
Current Room / 当前房间: --
📡 Steps to 1 / 到1的步数: --
🗺️ Path hidden / 路径隐藏
🖱️ Click on colored cubes to teleport / 点击彩色方块传送
🎮 Drag to rotate | Right-click to pan / 拖拽旋转 | 右键平移

⚡ HOW TO PLAY (Best Strategy)

Your goal is to reach Room 1. Each door leads to a neighbor number. The fastest way to 1 is to follow this simple rule:

🚪 IF the number is EVEN → go to n ÷ 2 (half)
🚪 IF the number is ODD → go to 3 × n + 1

That’s the classic Collatz path. It always reaches 1.

📖 Example:
Start at 7 (odd) → click 22 (3×7+1)
Now at 22 (even) → click 11 (22÷2)
Continue: 11 → 34 → 17 → 52 → 26 → 13 → 40 → 20 → 10 → 5 → 16 → 8 → 4 → 2 → 1
Just follow the rule and you'll get there!

💡 Hint: Check "Show Collatz Path" to see the golden doors that follow this rule.
🌳 Enable "Show 3D Tree Map" to see a radial tree of connections from your current room.
🎉 When you reach room 1, a celebration will appear!


⚡ 游戏攻略(最佳策略)

你的目标是到达 房间 1。每个门通向一个相邻的数字。最快到达 1 的方法就是遵循这个简单规则:

🚪 如果数字是偶数 → 去 n ÷ 2(一半)
🚪 如果数字是奇数 → 去 3 × n + 1

这就是经典的考拉兹路径,它总是能到达 1。

📖 举例:
7(奇数)开始 → 点击 22 (3×7+1)
现在在 22(偶数)→ 点击 11 (22÷2)
继续:11 → 34 → 17 → 52 → 26 → 13 → 40 → 20 → 10 → 5 → 16 → 8 → 4 → 2 → 1
只要遵循这个规则,你就能到达!

💡 提示: 勾选“显示考拉兹路径”可以看到遵循规则的金色门。
🌳 启用“显示3D树状地图”可以看到从当前房间出发的连接树。
🎉 到达房间 1 时会出现庆祝窗口!


考拉兹猜想说每个数字最终都会到达 1。祝你探索愉快!

🎉 CONGRATULATIONS! 🎉

You reached ROOM 1!

You have completed the Collatz journey.
Continue exploring or start a new adventure!