Fermat's Math Puzzle - Merge
Kenichi Horiuchi Games iPhoneiPadiPod touch
Fermat's Math Puzzle - Merge is a free Games app for iPhone and iPad by Kenichi Horiuchi. Requires iOS 26.0. Updated August 26, 2026.
- Price
- Free
- on the App Store
- Size
- 8 MB
- Age 4+
- Updated
- Aug 26
- 2026 · v1.0.3
Screenshots
About Fermat's Math Puzzle - Merge
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.
What’s new
Version 1.0.3 · Updated August 26, 2026
We’ve updated the App Store information.
App privacy
The developer, Kenichi Horiuchi, reported these privacy practices to Apple.
Data Used to Track You
The following data may be used to track you across apps and websites owned by other companies:
- Identifiers: Device ID
Data Not Linked to You
The following data, which may be collected but is not linked to your identity, may be used for the following purposes:
- Identifiers: Device ID
Used for: Third-Party Advertising, Analytics
Alternatives to Fermat's Math Puzzle - Merge
Looking for apps like Fermat's Math Puzzle - Merge? Here are 6 similar apps on the App Store. The highest rated is Cat Puzzle : Stray Cat Towers (4.9/5), and all 6 are free to download.
-
Cat Puzzle : Stray Cat Towers
4.9
-
NumTrail
4.7
-
Tap Tap Fish:Abyssrium Classic
4.6
-
Inside Out Thought Bubbles
4.2
-
Snowball.io™
4.7
-
Block Escape: 3D Block Puzzle
4.6
| App | Rating | Price | Last updated | Compare |
|---|---|---|---|---|
| Fermat's Math Puzzle - Merge | – | Free | August 26, 2026 | |
| Cat Puzzle : Stray Cat Towers | 4.9 / 5 (38) | Free | Sep 3, 2026 | Compare |
| NumTrail | 4.7 / 5 (6) | Free | Aug 20, 2026 | Compare |
| Tap Tap Fish:Abyssrium Classic | 4.6 / 5 (507) | Free | Oct 22, 2026 | Compare |
| Inside Out Thought Bubbles | 4.2 / 5 (9,588) | Free | Sep 5, 2026 | Compare |
| Snowball.io™ | 4.7 / 5 (463,251) | Free | Aug 23, 2026 | Compare |
| Block Escape: 3D Block Puzzle | 4.6 / 5 (579) | Free | Sep 26, 2025 | Compare |