Fermat's Math Puzzle - Merge

Relaxing merge & brain puzzle

Free · In‑App Purchases · Designed for iPad. Not verified for macOS.

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.

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We’ve updated the App Store information.

Version 1.0.3

The developer, Kenichi Horiuchi, indicated that the app’s privacy practices may include handling of data as described below. For more information, see the developer’s privacy policy .

  • Data Used to Track You

    The following data may be used to track you across apps and websites owned by other companies:

    • Identifiers

  • Data Not Linked to You

    The following data may be collected but it is not linked to your identity:

    • Identifiers

Privacy practices may vary, for example, based on the features you use or your age. Learn More

Accessibility

The developer has not yet indicated which accessibility features this app supports. Learn More

Information

Seller
  • Kenichi Horiuchi
Size
  • 8.5 MB
Category
  • Puzzle
Compatibility
Requires iOS 26.0 or later.
  • iPhone
    Requires iOS 26.0 or later.
  • iPad
    Requires iPadOS 26.0 or later.
  • Mac
    Requires macOS 26.0 or later and a Mac with Apple M1 chip or later.
  • Apple Vision
    Requires visionOS 26.0 or later.
Languages
  • English and Japanese
Age Rating
4+
In-App Purchases
Yes
Copyright
  • © Kenichi Horiuchi
  • Developer Website
  • Privacy Policy

    • Supports

    • Game Center

      Discover new games and play with friends. This game also features leaderboards.

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