Tag: Six-Set Page 1 of 2
In the Miracle Octad Generator (MOG): The above details from a one-page note of April 26, 1986, refer to the Miracle Octad Generator of R. T. Curtis, as…
Some background for the part of the 2002 paper by Dolgachev and Keum quoted here on January 17, 2014 — Related material in this journal (click image for posts) —
Or: The Nutshell What about Pascal? For some background on Pascal's mathematics, not his wager, see… Richmond, H. W., "On the Figure of Six Points in Space of…
The Kummer 166 configuration is the configuration of sixteen 6-sets within a 4×4 square array of points in which each 6-set is determined by one of the 16 points of the array…
A useful article on finite geometry, "21 – 6 = 15: A Connection between Two Distinguished Geometries," by Albrecht Beutelspacher, American Mathematical Monthly , Vol. 93, No. 1, January 1986,…
From April 23, 2013, in "Classical Geometry in Light of Galois Geometry"— Click above image for some background from 1986. Related material on six-set geometry from the classical literature—…
… And the history of geometry — Desargues, Pascal, Brianchon and Galois in the light of complete n-points in space. (Rewritten for clarity at about 10 AM ET April…
In light of the April 23 post "The Six-Set," the caption at the bottom of a note of April 26, 1986 seems of interest: "The R. T. Curtis…
The configurations recently discussed in Classical Geometry in Light of Galois Geometry are not unrelated to the 27 "Solomon's Seal Lines" extensively studied in the 19th century. See, in…
In a Nutshell: The Seed "The symmetric group S6 of permutations of 6 objects is the only symmetric group with an outer automorphism…. This outer automorphism can…