I have been playing at generating snowflakes using cellular automata.
New @numberphile video up with me talking about - you guessed it - juggling: https://www.youtube.com/watch?v=7dwgusHjA0Y&feature=youtu.be - 45 minutes, over 2k views. Wow!
And finally, the dramatic conclusion to my series on Heesch numbers: does there exist a convex pentagon that can be surrounded, but doesn't tile the plane, and admits a surround that's edge-to-edge? Heesch's original 1968 shape does all of the above except the edge-to-edge part. http://isohedral.ca/heesch-numbers-part-4-edge-to-edge-pentagons/ https://mathstodon.xyz/media/a0bUlDZY_utSfkXzkbs
The story of Heesch numbers continues in two posts. In http://isohedral.ca/heesch-numbers-part-2-polyforms/, I compute Heesch numbers of polyominoes and polyiamonds in search of interesting new examples; in http://isohedral.ca/heesch-numbers-part-3-bamboo-shoots-and-ice-cream-cones/, I present a new family of simple polygons, all with Heesch number 1.
HyperRogue 10.0 is released! More interesting mirrors, new modes with more resource management or no battle. http://zenorogue.blogspot.com/2017/07/hyperrogue-100-is-released.html https://mastodon.social/media/78a_XNcXctGyDdVSup8
Time to justify my presence here...
The Heesch number of a shape is the maximum number of layers of copies of that shape by which you can surround it. Heesch's Problem asks which positive integers can be Heesch numbers. I'll show a few fun new results over a series of blog posts; today, I offer a basic introduction to the topic. http://isohedral.ca/heesch-numbers-part-1/
#worldtessellationday is coming up on Saturday. I think the best way to celebrate is to look down. https://blogs.scientificamerican.com/roots-of-unity/for-world-tessellation-day-remember-to-look-down/ https://mathstodon.xyz/media/4gtNoKasPO7YXhx2eso