# G^N

> G^N (iPhone/iPad app by Johannes Loeffler.)

- Source: https://appshunter.io/ios/app/gn/id1049422307 (this page in markdown: same URL + `.md`)
- Developer: [Johannes Loeffler](https://appshunter.io/developer/967323440)
- Category: Education, Games, Puzzle
- Price: Free with in-app purchases
- Age rating: 4+
- Requires: iOS 9.0 · 4 MB
- Languages: American English
- Released: 2015-10-24
- Data updated: 2026-05-17
- User reviews in markdown: https://appshunter.io/ios/app/gn/id1049422307/reviews.md

## What is G^N?

G^N is a special calculator not just a game:
This math app animates iterations of one or compositions of two multi-valued maps for free groups of in principle arbitrary finite rank in the abelian and non-commutative cases respectively (in this version the rank is restricted to values in between 2 and 11). Well-known examples of such multi-valued maps are permutations, for example the flip (x_1,x_2)->(x_2,x_1), in G^N we just write (1,2)->(2,1) and instead of the inverse we convenient flip the number. A more involved type of such a multi-valued map is the n+1 cycle defined by (1,...,n)->(-2-3-...-n-1,3,4,...,n,1), a non-trivial theorem. For example if n=2 this map is the hexagon (1,2)->(-2-1,1), this map applied twice reads (1,2)->(2,-2-1) and the third iteration is the identity map (1,2)->(1,2).

## Pricing and in-app purchases

Base price: Free.

**One-time purchases**

| Purchase | Price | Type |
| --- | --- | --- |
| Levels | $9.99 | one-time |



## Version history (last 5 releases)

### 2.9 — 2022-05-28

Improved data-pickers

### 2.8 — 2017-10-31

This app has been updated by Apple to display the Apple Watch app icon.

New picker views.

### 2.7 — 2017-08-01

Improved zoom.

### 2.6 — 2017-04-05

Restore button added.

### 2.5 — 2017-01-05

In-app purchases added.

## Apps similar to G^N

| App | Rating | Price | Category |
| --- | --- | --- | --- |
| [Combinatorics Calculator](https://appshunter.io/ios/app/combinatorics-calculator/id6472453602) | — | Free | Education |
| [CloudLabs Amusement park](https://appshunter.io/ios/app/cloudlabs-amusement-park/id6450387758) | — | Free | Education |
| [Keijaoh Tutorials](https://appshunter.io/ios/app/keijaoh-tutorials/id1610343608) | 5.0 (1) | Free | Education |
| [The Power of Sales](https://appshunter.io/ios/app/the-power-of-sales/id6740205122) | — | Free | Education |
| [MyCalcTutor](https://appshunter.io/ios/app/mycalctutor/id6740751073) | — | Free | Education |
| [Number Series for kids](https://appshunter.io/ios/app/number-series-for-kids/id722797784) | 5.0 (1) | Free | Education |

## More apps by Johannes Loeffler

- [Penrose stairs](https://appshunter.io/ios/app/penrose-stairs/id1090010583)
- [Music Check](https://appshunter.io/ios/app/music-check/id1222506270)

All apps by Johannes Loeffler: https://appshunter.io/developer/967323440

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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 2026-05-17.*