Researchers, Mathematicians and Enthusiasts.
Download "Billiards Covers" to see the most current list of periodic paths in triangles.
Download "Billiards Everything" to discover new periodic billiard paths, an unresolved problem from 1775!
Follow "The Great Periodic Path Hunt" at gwtokarsky.github.io for the latest news.
Email tokarsky@ualberta.ca for feedback.

Features

  • Windows, Linux, Mac
  • Better than McBilliards
  • Shows the most current triangles with periodic paths and its code sequence
  • Multiple covers with or without guidelines
  • Load, unload covers
  • Color palette chart and cyles the colors
  • Mouse coordinates
  • Info button for code sequences
  • Zoom scale
  • Select, magnify, demagnify, center
  • Backward(undo), forward
  • Clear, reset
  • Checks and proves squares and covers
  • Draws the bounding polygon and its equations in info
  • Draws the exact region and its equations under draw
  • A new cover for Schwartz's 100 degree theorem using 186 regions instead of 215
  • A single golden star square cover of the (10,20) flare neighbourhood using 6 regions

Project Samples

Project Activity

See All Activity >

License

GNU General Public License version 3.0 (GPLv3)

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Billiards Covers Web Site

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Additional Project Details

Operating Systems

Linux, Mac, Windows

Intended Audience

Science/Research

User Interface

JavaFX

Programming Language

Java

Database Environment

SQL-based

Related Categories

Java Data Visualization Software, Java Mathematics Software

Registered

2021-08-31