Polyacounters

Developer Tools

Only for iPhone

Free · Designed for iPhone. Not verified for macOS.

iPhone

Polyacounters is an iOS tool designed for learning combinatorics and counting theory, helping you understand the classic problem of "how many fundamentally different coloring schemes exist" under the influence of symmetry groups. In Workbench, you can set the number of vertices n and available colors k for a regular n-sided shape, and select the type of group action - identity group, cyclic group C ₙ, or dihedral group D. The application automatically calculates the number of orbits (equivalent classes) based on Burnside lemma, displays the fixed point contribution of each group element, and provides the complete counting result through P ó lya enumeration theorem and cycle index. When the parameters are appropriate, the application will enumerate all equivalent classes and display the representative coloring of each class in a colored polygon graph, intuitively demonstrating how symmetry is merged. The Elements page supports interactive exploration: select group element g, edit vertex shading and apply permutation with one click, observe how the shape changes under symmetry, and view cycle notation and | Fix (g) | details. The Compare page allows for parallel comparison of the orbital numbers and group orders of Identity, C ₙ, and D ₙ under the same n and k. The reference page has built-in formula shortcuts for Burnside, P ó lya, and common groups.

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The developer, Manjosh Tidke, 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

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Information

Seller
  • Manjosh Tidke
Size
  • 6.1 MB
Category
  • Developer Tools
Compatibility
Requires iOS 14.0 or later.
  • iPhone
    Requires iOS 14.0 or later.
  • iPod touch
    Requires iOS 14.0 or later.
  • Mac
    Requires macOS 11.0 or later and a Mac with Apple M1 chip or later.
Languages
  • English
Age Rating
4+
Copyright
  • © Polyacounters
  • Privacy Policy