Tag: Finite Geometry

Mapping Problem

Thursday's post Triangles Are Square posed the problem of finding "natural" maps from the 16 subsquares of a 4×4 square to the 16 equilateral subtriangles of an edge-4…

Triangles Are Square

Coming across John H. Conway's 1991* pinwheel  triangle decomposition this morning— — suggested a review of a triangle decomposition result from 1984: Figure A (Click the below image…

Revision

I revised the cubes image and added a new link to an explanatory image in posts of Dec. 30 and Jan. 3 (and at finitegeometry.org). (The cubes now…

Quaternions on a Cube

The following picture provides a new visual approach to the order-8 quaternion  group's automorphisms. Click the above image for some context. Here the cube is called "eightfold" because…