Tehora Rogue

Our video "Portals to Non-Euclidean Geometries" has passed 1M views! I know only 5-6 videos using "non-Euclidean" incorrectly with more views. This is not Minecraft!* (link in the comment) * 3 of these videos are about Minecraft

Some #mathart from 2001. Typical visualizations of surfaces I would see back then were boring, angular, and sameish (they used default Mathematica settings, polygons visible). This uses a rendering method where triangles would be subdivided until they contained 1 pixel.

Creatures living in the hyperbolic world may use the native Poincaré model to get conformal, circular, and totally useless maps of their whole world.

In each iteration, temperature of every cell is the average of temperatures of itself and neighbors in the previous iteration. Even though circles (=shapes reachable in N steps) are polygonal here, heat spreads in perfect Euclidean circles (on a sufficiently symmetric tiling).

HyperRogue 11.2: Thurston geometries (free update!) zenorogue.blogspot.com/2019/…

A rubbery object in non-isotropic geometry (e.g.Nil) should have its preferred orientation which minimizes its potential energy -- intuitively, if we try to rotate it, it should get back to its preferred orientation. This does not happen in our simulation, but still cool IMO :)