Posts

Showing posts from March, 2018

A wonderful, interactive writeup about visualizing Coxeter groups, polytopes in particular.

Image
A wonderful, interactive writeup about visualizing Coxeter groups, polytopes in particular.

Originally shared by Mikael Hvidtfeldt Christensen

I have written a blog post on 'Building 4D Polytopes'. This actually goes back to a Fractal Forums discussion back in 2012, where Knighty came up with a clever scheme for ray marching polytopes. It also discusses the mathematics behind Jenn 3D (a tool for creating explicit geometry).

It is probably my most ambitious post yet - lots of interactive WebGL components - which also means it not very mobile friendly, I'm afraid.

The post can be found here:
https://syntopia.github.io/Polytopia/polytopes.html

Please let me know if you have ideas for improvements or corrections!

Finally took some time to get MagicTile building for Macs.

Image
Finally took some time to get MagicTile building for Macs.
http://roice3.org/magictile/downloads/mac.htm

Twenty years of Rubik's cube addiction...

Image
Twenty years of Rubik's cube addiction...

...has just borne fruit :D My article Abstracting the Rubik's Cube is in the April issue of Mathematical Association of America's Math Horizons, and one of the Boy's surface puzzles made the cover. Working with the editor David Richeson was a great experience!

https://www.tandfonline.com/toc/umho20/25/4

Grab one of my free 50 copies at the following link - make sure to get the pdf with all the images: https://www.tandfonline.com/eprint/cc7qejfNI5rvbKJK9gKV/full

Update
My free copies are gone, but the preprint will always be available at: http://roice3.org/papers/abstracting_rubiks_cube.pdf