Algorithms in Bioinformatics

Tegula

Periodic tilings of the plane, sphere and hyperbolic plane

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Tegula is a program for displaying and exploring two-dimensional periodic tilings, based on the concept of Delaney-Dress symbols. Tegula was written by Daniel Huson and Rüdiger Zeller, using code by Klaus Westphal. Tegula is written in Java (12) and uses JavaFX. 

A paper describing the math, algorithms and software has been published here

The source files for Tegula are available here: GitHub.

Talk given at the Maths Department of the University of Tübingen (June 2021): Slides

Video of talk "A Galaxy of Periodic Tilings" (2021): YouTube

Talk given at the Maths Department of the University of Canterbury (March 2020): Slides
 
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Periodic tiling of the hyperbolic plane
Periodic tiling of the euclidean plane
Periodic tiling of the sphere