# Fermat's Math Puzzle - Merge — Relaxing merge & brain puzzle

> Relaxing merge & brain puzzle (iPhone/iPad app by Kenichi Horiuchi.)

- Source: https://appshunter.io/ios/app/fermats-math-puzzle-merge/id6788619489 (this page in markdown: same URL + `.md`)
- Developer: [Kenichi Horiuchi](https://appshunter.io/developer/1553401480)
- Category: Games, Casual, Puzzle
- Price: Free with in-app purchases
- Age rating: 4+
- Requires: iOS 26.0 · 8 MB
- Languages: American English, Japanese
- Released: 2026-08-13
- Data updated: 2026-09-03
- User reviews in markdown: https://appshunter.io/ios/app/fermats-math-puzzle-merge/id6788619489/reviews.md

## What is Fermat's Math Puzzle?

Merge the numbers nature loves.

Fermat's Math Puzzle is a relaxing merge puzzle built on the most beautiful ideas in mathematics. Tap an empty square to place a tile — when two neighbors are consecutive Fibonacci numbers (1+1, 1+2, 2+3, 3+5…), they merge into the next one. If the result meets another neighbor, the chain keeps going, and every link multiplies your score by the golden ratio φ (1.618…).

Features

• One tap to play — you only decide where to place. A round fits in a coffee break.
• Chain reactions — every merge blooms into a spiral of particles and a chord climbing a perfect fifth.
• Golden ratio bonus — chains multiply your score by φ, then φ², then φ³…
• Swap the NEXT tile — three swaps per game to get you out of a tight board.
• Daily Challenge — everyone in the world gets the same tiles today.
• Game Center leaderboards — compare your best score and your daily rank worldwide.

Built out of mathematics

Everything you see and hear follows the math:

• The specks drifting in the background sit on Fermat spirals at the golden angle (137.5°), the same arrangement as seeds in a sunflower head.
• Tile colors are spaced around the hue wheel by the golden ratio, so neighboring numbers stay as far apart in color as possible.
• The title screen is a golden spiral, widening by φ every quarter turn.
• The soundtrack is generated on your device as you play, tuned in just intonation (pure ratios 1 : 9/8 : 5/4 : 3/2 : 5/3), with melodies that walk the scale in Fibonacci steps.

You might like this if you

• enjoy 2048 and other merge puzzles
• want a few quiet minutes between tasks
• like it when math, color, and sound turn out to be the same thing

About ads

No forced ads, ever. Nothing interrupts a game. An ad plays only when you choose a reward — continuing a run, or refilling your swaps — and the one-time Premium purchase removes even those.

Plays offline; a connection is only needed for leaderboards and reward ads.

## Pricing and in-app purchases

Base price: Free.

**One-time purchases**

| Purchase | Price | Type |
| --- | --- | --- |
| Premium | $3.99 | one-time |



## Version history (last 3 releases)

### 1.0.3 — 2026-08-26

We’ve updated the App Store information.

### 1.0.2 — 2026-08-23

We’ve refreshed the app icon and updated the App Store information.

### 1.0 — 2026-08-13

No release notes.

## More apps by Kenichi Horiuchi

- [Shadow Runner 3D](https://appshunter.io/ios/app/shadow-runner-3d/id1553401478)
- [RePlayCamera](https://appshunter.io/ios/app/replaycamera/id1658772020)
- [EasyHealth Track](https://appshunter.io/ios/app/easyhealth-track/id6450302663)
- [Auto Mirror](https://appshunter.io/ios/app/auto-mirror/id6740739536)
- [Euler's Circuit - One Line](https://appshunter.io/ios/app/eulers-circuit-one-line/id6792647040)

All apps by Kenichi Horiuchi: https://appshunter.io/developer/1553401480

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*Data collected daily from the US App Store and indexed by [AppsHunter](https://appshunter.io/). User reviews are verbatim App Store reviews. Ratings, prices and chart positions refresh continuously; this snapshot is from 2026-09-03.*