#Hyperbolic#tiling with [3,11] #symmetry, shown edge-centered in the Poincaré ball model. Geodesic saddle with 8-frequency subdivision. https://t.co/7CGozsODm2
Edward Gorczyca designed a double yin-yang on the surface of a sphere and commissioned me to animate his construction. It begins with a tetrahedron. The output of our collaboration was this short video, along with the POV-Ray scripts that rendered it: https://t.co/oG4JyHPIq8
More screenshots: @roice713 worked out how to size the spheres (and horospheres and geodesic planes) so that at "Edge Thickness" zero, the complementary geometry has spiky touching points.
#Spherical#tiling with [3,4] #symmetry, shown tile-centered in the Mercator projection. Geodesic dome with 8-frequency subdivision. https://t.co/7CGozsODm2
TilingBot now supports the Mercator projection for spherical tilings. Learn about this projection and see amazing image possibilities in a lovely paper by @dmswart and Seb Perez-Duarte: "The Mercator Redemption", https://t.co/MQ3h9d6cPS https://t.co/umwmjhsBgD
This is a very special tiling! It is an infinite collection of "ortho-sticks" that meet only at ideal points. The analogous tiling a dimension up intimately relates to the complement of the Borromean Rings, made famous by the video "Not Knot". Dig deeper: https://t.co/0W3ky2EqAI https://t.co/WjkM61NWWq