Message #3375

From: Roice Nelson <roice3@gmail.com>
Subject: Fisheye model of spherical geometry in MagicTile
Date: Sat, 18 Jun 2016 15:25:40 -0500

Turns out there is a natural disk model of spherical geometry. Who knew?

It was easy to support this in MagicTile, so you will find 3 options for
the display of spherical puzzles in the latest upload (stereographic,
gnomonic, fisheye). The fisheye model is much more compact than
stereographic projection, so I think it will be an enjoyable way to solve
spherical puzzles!

Here’s a video showing Gigaminx in the fisheye model:
https://youtu.be/K8Gq_MfFZt8

Euclidean geometry has a fisheye model too (not supported in MagicTile
yet). If you are interested to dig further, you can read a little more at
the following G+ post and its comment thread:
https://plus.google.com/100003628603413742554/posts/5yz81rwZ4Q3

Cheers,
Roice