John Bowers

Make Your Own Circle Packing Ornaments Part II: Generating a random circle packing in koebepy.

This post is part II of a three part series. Several years ago I collaborated with my friend and colleague, JMU mathematician (and all around 3D printing empress extraordinaire) Laura Taalman (known to many as mathgrrl) on a set of circle packing ornaments for Christmas. Recently, I saw this great video of the production ofContinue reading “Make Your Own Circle Packing Ornaments Part II: Generating a random circle packing in koebepy.”

Make Your Own Circle Packing Ornaments Part I: What is a Circle Packing?

Several years ago I collaborated with my friend and colleague, JMU mathematician (and all around 3D printing empress extraordinaire) Laura Taalman (known to many as mathgrrl) on a set of circle packing ornaments for Christmas. Recently, I saw this great video of the production of a lovely tesselation and saw our circle packing ornaments inContinue reading “Make Your Own Circle Packing Ornaments Part I: What is a Circle Packing?”

Combinatorial tilings from finite subdivision rules

In this blog post I give an overview of infinite tilings generated using finite subdivision rules and show some koebepy that creates them. If you haven’t already, you may want to install koebepy. In a future post I plan to give a more in-depth tutorial on how to compute tilings using koebepy with this postContinue reading “Combinatorial tilings from finite subdivision rules”

Installing koebepy

At the time of this post’s writing, koebepy is really in its infancy and is not yet ready to be committed to the pip package repository. (By the way, I prounounce this “ker-buh-pie”, since the oe in German mathematician Paul Koebe’s name is an o with an umlaut “ö”.) In order to install and runContinue reading “Installing koebepy”

Hi, I’m a Discrete and Computational Geometer.

My name is John Bowers. I’m a discrete and computational geometer and teach computer science at James Madison University. I started this blog in order to have a space to write about geometric problems and coding that I find interesting. I have also been developing a library for exploring discrete and computational geometry in pythonContinue reading “Hi, I’m a Discrete and Computational Geometer.”