4 ms·
Show HN: Explore tilings of the hyperbolic plane by moving the mouse
- ozh 12y agoMesmerizing. I wish I could stop the spinning though.
- tim_hutton 12y agoSure. Download the index.html and run it locally. Comment out line 259: //setInterval( animate, 20 );
- akjetma 12y agoin the inspector, > for (var i=1; i<99999; i++) clearInterval(i); or, in this case, > clearInterval(1); works
- JonnieCache 12y agoThis reminds me of Roger Penrose's spacetime diagrams. http://copaseticflow.blogspot.co.uk/2014/07/nine-notes-about-penrose-and-escher.html http://copaseticflow.blogspot.co.uk/2014/07/nine-notes-about...
- robinhoodexe 12y agoVery nice!
- hcarvalhoalves 12y agoSo, I can only create perfect solids with some numbers of sides (3 and 5). Why is that? Some symmetry caused by having 3 dimensions?
- heckentreu 12y agoDon't forget the cube with quadratic sides. In general these are called platonic solids [1] and there are only 5 of them. Why only 5 ? It has to do with angles and how you can unfold such a solid. (so it's somewhat caused by getting something from 3d-space into the 2d-plane) [1] http://en.wikipedia.org/wiki/Platonic_solid http://en.wikipedia.org/wiki/Platonic_solid
- tim_hutton 12y agoAlso, it's not just about the angles. It's about the number of connections between vertices too. There just aren't any other solutions. To convince yourself, here's a fun game you can try with pencil and paper: http://ferkeltongs.livejournal.com/28364.html http://ferkeltongs.livejournal.com/28364.html (disclosure: that's my blog)
- tim_hutton 12y agoI feel bad for the poor heptagon, which has neither a flat tiling nor a solid. At least on the hyperbolic plane everyone gets to take part in a tiling.
- ErikRogneby 12y agoI appreciated the "what the heck am I looking at?" section. Very smooth.