Tag: Interplay

National Library Week

"Celebrate National Library Week 2015 (April 12-18, 2015) with the theme "Unlimited possibilities @ your library®." See also Library of Hell. A page from Princeton University Press on…

Euclidean-Galois Interplay

For previous remarks on this topic, as it relates to symmetry axes of the cube, see previous posts tagged Interplay. The above posts discuss, among other things, the Galois projective…

Vide

“The relevance of a geometric theorem is determined by what the theorem tells us about space, and not by the eventual difficulty of the proof.” — Gian-Carlo Rota discussing the…

Desargues via Galois

The following image gives a brief description of the geometry discussed in last spring's Classical Geometry in Light of Galois Geometry. Update of Aug. 7, 2013:  See also…

Cube Spaces

Cubic models of finite geometries display an interplay between Euclidean and Galois geometry. Example 1— The 2×2×2 Cube— also known as the eightfold  cube— Group actions on the…

Cubist Geometries

"The cube has…13 axes of symmetry:   6 C2 (axes joining midpoints of opposite edges), 4 C3 (space diagonals), and 3C4 (axes joining opposite face centroids)." –Wolfram MathWorld…