![](/assets/artwork/1x1-42817eea7ade52607a760cbee00d1495.gif)
G^N 4+
Johannes Loeffler
Designed for iPad
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- Free
- Offers In-App Purchases
Screenshots
Description
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).
What’s New
Version 2.9
Improved data-pickers
App Privacy
The developer, Johannes Loeffler, 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 Not Collected
The developer does not collect any data from this app.
Privacy practices may vary based on, for example, the features you use or your age. Learn More
Information
- Provider
- Johannes Loeffler
- Size
- 3.8 MB
- Category
- Education
- Compatibility
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- iPhone
- Requires iOS 9.0 or later.
- iPad
- Requires iPadOS 9.0 or later.
- iPod touch
- Requires iOS 9.0 or later.
- Mac
- Requires macOS 11.0 or later and a Mac with Apple M1 chip or later.
- Apple Vision
- Requires visionOS 1.0 or later.
- Languages
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English
- Age Rating
- 4+
- Copyright
- © Copyright (c) 2015 Jo. All rights reserved.
- Price
- Free
- In-App Purchases
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- Levels ₹ 999