Tag: Geometry Page 2 of 7
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…
Short Story — (Click image for some details.) Parts of a longer story — The Galois Tesseract and Priority.
Today's previous post on coordinate systems suggests a look at the phrase "Galois coordinates." A search shows that the phrase, though natural, has apparently not been used before…
"What we do may be small, but it has a certain character of permanence." — G. H. Hardy, A Mathematician's Apology The diamond theorem group, published without…
The hypercube model of the 4-space over the 2-element Galois field GF(2): The phrase Galois tesseract may be used to denote a different model of the above 4-space: the 4×4 square….
From an arXiv preprint submitted July 18, 2011, and last revised on March 11, 2013 (version 4): "By our construction, this vector space is the dual of our hypercube…
… 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…
Some historical background for today's note on the geometry underlying the Curtis Miracle Octad Generator (MOG): The above incidence diagram recalls those in today's previous post on the MOG, which…
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…