Category: Geometry Page 10 of 168

Two Physical Models of the Fano Plane

The Regular Tetrahedron The seven symmetry axes of the regular tetrahedron are of two types: vertex-to-face and edge-to-edge. Take these axes as the "points" of a Fano plane….

In the Details

For the late novelist P. D. James, author of, among other things, The Children of Men . Michael Caine in the film of that book — Detail — Raven's Progressive Matrices example —  A…

Mathematics and Narrative

Mathematics:  Galois-Plane Models. Narrative: "The Dreaming Jewels."

A Tetrahedral Fano-Plane Model

Update of Nov. 30, 2014 — It turns out that the following construction appears on pages 16-17 of A Geometrical Picture Book , by  Burkard Polster (Springer, 1998). "Experienced…

Class Act

Update of Nov. 30, 2014 — For further information on the geometry in the remarks by Eberhart below, see pp. 16-17 of A Geometrical Picture Book , by Burkard Polster (Springer,…

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…

The Eye/Mind Conflict

Harold Rosenberg, "Art and Words,"  The New Yorker , March 29, 1969. From page 110: "An advanced painting of this century inevitably gives rise in the spectator to a conflict between…

Another Opening, Another Show

“What happens when you mix the brilliant wit of Noel Coward with the intricate plotting of Agatha Christie? Set during a weekend in an English country manor in…

Some Symplectic History

A paper from 1976 on symplectic torsors  and finite geometry: A pdf is now available: FINITE GEOMETRIES IN THE THEORY OF THETA CHARACTERISTICS Autor(en): Rivano, Neantro Saavedra Objekttyp:…

Progressive Matrix

Yesterday's post and recent Hollywood news suggest a meditation on a Progressive Matrix — Oct. 12-14, 2005: Click to enlarge. "My card." Structurally related images — A sample Raven's Progressive Matrices …