76 Unique Honeycombs Last weekend, Tom Ruen and I hit the milestone of uploading to wikipedia at least one image for 9 families of compact, Wythoffian, uniform H3 honeycombs, a total of 76 unique honeycombs. http://en.wikipedia.org/wiki/Uniform_honeycombs_in_hyperbolic_space You can easily browse all the images on my wiki user page: http://commons.wikimedia.org/wiki/User:Roice3 - Compact means the cells are finite in extent. - Wythoffian means we can generate them using a kaleidoscopic construction, that is by reflecting in mirrors. - Uniform means they are vertex transitive and have uniform polyhedral cells. There may even be more honeycombs that meet all these criteria, I don't know. ( update: see Tom's comment below! ) I do know there are hundreds more which don't meet one or more of these criteria, many undiscovered. In fact, there are infinitely more because there are some infinite families of honeycombs. wendy krieger continues to discover and enumerate more...
is it possible for your software to be converted to js so they run in browser or any phone?
ReplyDeletei think that'd be great!
Xah Lee, not really, at least not easily. I predict it would require a complete rewrite, though the existing code would hopefully make such an effort easier. The code is here: https://github.com/roice3/MagicTile
ReplyDeleteisn't there many framework that convert/compile .net to js?
ReplyDeletei mean, i saw many of your software that's interesting, but they can't run on browser or mac or linux. I really want to blog them etc, or use them, but the .net source basically limit them for handful of programer only. eg those interested in math, and is programing experts on windows platform.
if it's in js, so it'd run on any linux, windows, mac, and android, iphone. I think that'd increase audience some 100 fold. i think considering this is worthwhile.
Anyway, just saying.
Great! Going to try this as soon as I get home!
ReplyDeleteScott Vorthmann, cool! Feel free to open GitHub issues for anything you find. I've done little more than make sure it starts up and some puzzles load correctly.
ReplyDeleteI noticed the OpenGL canvas is offset a little for instance, which doesn't surprise me (I've heard UI doesn't always transfer perfectly in Mono). But maybe there is something I can do to avoid that... I'll go open an issue now :)
Xah Lee, I hadn’t known about them, but a quick search reveals there is, e.g. https://bridge.net/
ReplyDeleteI’d be quite surprised if it worked and shocked if it was performant, but would simultaneously be happy!
Works nicely, Roice!
ReplyDelete