# Fermat's Math Puzzle - Merge

> Relaxing merge & brain puzzle

Canonical page: [https://chrome-stats.com/d/id6788619489](https://chrome-stats.com/d/id6788619489)

## Overview

- **ID:** `id6788619489`
- **Platform:** Apple
- **Type:** Apple app
- **Status:** Available
- **Publisher:** Kenichi Horiuchi
- **Category:** Puzzle
- **Version:** 1.0.3
- **Last updated:** 2026-08-26
- **First published:** 2026-08-13
- **Size:** 8.06 MB
- **Data as of:** 2026-09-17
- **Store listing:** [Apple App Store](https://apps.apple.com/us/app/fermats-math-puzzle-merge/id6788619489)
- **Website:** [http://kenapps.s3-website-ap-northeast-1.amazonaws.com](http://kenapps.s3-website-ap-northeast-1.amazonaws.com/)
- **Privacy policy:** [https://fermat-puzzle-547448217655-ap-northeast-1-an.s3.ap-northeast-1.amazonaws.com/privacy.html](https://fermat-puzzle-547448217655-ap-northeast-1-an.s3.ap-northeast-1.amazonaws.com/privacy.html)

## Description

Tap an empty square: neighboring numbers merge and grow — 1, 2, 3, 5, 8… Every chain multiplies your score by the golden ratio φ. No forced ads, ever.

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.

## Rankings

- #1,122,435 — Overall

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- [MergePath: 2048 Merge Puzzle](https://chrome-stats.com/d/id6774571787)
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- [Fibonacci Merge](https://chrome-stats.com/d/id6778130452)
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- [Fours Puzzle](https://chrome-stats.com/d/id6770332139)
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- [Triplo](https://chrome-stats.com/d/id6772526976)
- [Merge Tiles: Number Puzzle](https://chrome-stats.com/d/id6749622676)
- [Chain Drop: Merge Puzzle](https://chrome-stats.com/d/id6766073306)

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Source: [Chrome-Stats](https://chrome-stats.com/d/id6788619489)