Katie. Overly inquisitive since 1988. Introverted she-geek who sits and thinks all day. Tireless autodidact, godless heathen, and occasional lucid dreamer.

This blog is a place to document things I observe and enjoy, so that means it has no particular topic, or maybe lots of them. But I reblog a lot of lightning and treehouses, for some reason.


 online, counting you.

A World of Curves and Lines Electric

A nice, personal writing pad for your thoughts 'n stuff


Icosahedron which has 20 triangles, 12 vertices and 30 edges. The triangle subdivision of the icosahedron increases the number of triangles by a factor of 4. At each subdivision, the vertices are projected onto the sphere. At the subsequent level of refinement, we have (42, 80), (162, 320), (642, 1280), (2562, 5120), (10242, 20480), (40962, 81920) faces and vertices.

Credit: Moo K. Chung and Seong Ho Seo

Source: Heat Kernel Smoothing via Laplace-Beltrami EigenfunctionsWaisman Laboratory for Brain Imaging and BehaviorUniversity of Wisconsin–Madison