Category: Geometry Page 12 of 168

Foundation Square

In the above illustration of the 3-4-5 Pythagorean triangle, the grids on each side may be regarded as figures of Euclidean  geometry or of Galois  geometry. In Euclidean geometry, these grids…

Eerie Twist

(Continued from Nov. 15, 2011) Ben Bradlee, legendary Washington Post editor, dies at 93 See also a post of Jan. 20, 2011, and an earlier post on Twelfth Night,…

Art as a Tool

Two news items on art as a tool: Two Log24 posts related to the 3×3 grid, the underlying structure for China’s ancient Lo Shu “magic” square: Finally, leftist…

Tools

(Night at the Museum continues.) "Strategies for making or acquiring tools While the creation of new tools marked the route to developing the social sciences, the question remained:…

Elementary Galois Geometry

The image search (2.26 MB).

Educational Series

Barron’s Educational Series (click to enlarge): The Tablet of Ahkmenrah:  “With the Tablet of Ahkmenrah and the Cube of Rubik, my power will know no bounds!” — Kahmunrah…

Diabolically Complex

The title is from a Log24 post, "Diabolically Complex Riddle," of Sept. 27, 2014. (See also a search for "Diabolic"  in this journal, which yields an application to…

The Judas Seat

My own contribution to an event of the Mathematical Association of America: Rick’s Tricky Six  and  The Judas Seat. The Polster tetrahedral model of a finite geometry appears, notably,…

Sallows on "The Lost Theorem"

Parallelograms and the structure of the 3×3 array — Click to enlarge: A different approach to parallelograms and arrays — Click for original post:

Raiders of the Lost Theorem

(Continued from Nov. 16, 2013.) The 48 actions of GL(2,3) on a 3×3 array include the 8-element quaternion group as a subgroup. This was illustrated in a Log24 post,…