[NEW GAME] Tower Of Hanio

### 🔍 Is this game already proposed?

- [x] I have searched both "open" and "closed" issues and this is not a duplicate.

### 🎮 Game Summary

Tower of Hanoi is a classic logic puzzle with three rods and disks of different sizes.

All disks start stacked on one rod in descending order.
The goal is to move the entire stack to another rod, following two rules:
• Only one disk can be moved at a time.
• A larger disk can never be placed on a smaller one.
Players must use strategy and planning to complete the puzzle in the minimum number of moves (2ⁿ − 1).

### 🧠 Brain Development Impact

This game stimulates key areas of the brain by strengthening logical reasoning, memory retention, and problem-solving skills. Players engage in strategic thinking and pattern recognition, which enhances activity in the prefrontal cortex (responsible for planning and decision-making) and the hippocampus (linked with memory).

By requiring focus, adaptability, and step-by-step reasoning, the game not only boosts concentration but also fosters cognitive flexibility and critical thinking, making it both entertaining and mentally enriching.

### 📚 Scientific Backing (required)

Developmental progression of performance on the Tower of Hanoi problem : https://link.springer.com/article/10.3758/BF03329485

Transition in Long-Term Learning Curves and fMRI Analysis on Tower of Hanoi Task :
[Transition in Long-Term Learning Curves and fMRI Analysis on Tower of Hanoi Task | IEEE Conference Publication | IEEE Xplore](https://ieeexplore.ieee.org/abstract/document/8716242)

### 📄 Have You Read `CONTRIBUTING.md`?

- [x] I have read and understood the [CONTRIBUTING.md](https://github.com/ajaynegi45/Old-School-Game/blob/main/CONTRIBUTING.md) and agree to follow the project’s game standards.

### 👨‍💻 Would you like to work on this game yourself?

Yes

### 🛠️ Implementation Plan (if you're building it)

HTML → to build the game layout (rods, disks, buttons).

CSS → to style the rods and disks, maybe add animations.

JavaScript → to handle the logic of Tower of Hanoi (moving disks, checking valid moves, counting moves, win condition).