Tag: Geometry Page 5 of 7

Correspondences

Comme de longs échos qui de loin se confondent Dans une ténébreuse et profonde unité…. — Baudelaire, "Correspondances " From "A Four-Color Theorem"— Figure 1 Note that this…

Nordstrom-Robinson Automorphisms

A 2008 statement on the order of the automorphism group of the Nordstrom-Robinson code— "The Nordstrom-Robinson code has an unusually large group of automorphisms (of order 8! =…

Piracy Project

Recent piracy of my work as part of a London art project suggests the following.            From http://www.trussel.com/rls/rlsgb1.htm The 2011 Long John Silver Award for academic piracy goes…

Edifice Complex

"Total grandeur of a total edifice, Chosen by an inquisitor of structures For himself. He stops upon this threshold, As if the design of all his words takes…

The Schwartz Notes

A Google search today for material on the Web that puts the diamond theorem in context yielded a satisfyingly complete list. (See the first 21 results.) (Customization based…

Noncontinuous (or Non-Continuous) Groups

The web page has been updated. An example, the action of the Mathieu group M24 on the Miracle Octad Generator of R.T. Curtis, was added, with an illustration…

Playing with Blocks

"Many of the finite simple groups can be described as symmetries of finite geometries, and it remains a hot topic in group theory to expand our knowledge of…

Competing MOG Definitions

A recently created Wikipedia article says that  "The Miracle Octad Generator [MOG] is an array of coordinates, arranged in four rows and six columns, capable of describing any…

Eightfold Geometry

Related web pages: Miracle Octad Generator, Generating the Octad Generator, Geometry of the 4×4 Square Related folklore: "It is commonly known that there is a bijection between the…

Wednesday October 14, 2009

Singer 7-Cycles Click on images for details. The 1985 Cullinane version gives some algebraic background for the 1987 Curtis version. The Singer referred to above is James Singer….