Tag: Geometry Page 3 of 7

Pascal via Curtis

Click image for some background. Shown above is a rearranged version of the Miracle Octad Generator (MOG) of R. T. Curtis ("A new combinatorial approach to M24," Math….

Paperweights

A different dodecahedral space (Log24 on Oct. 3, 2011)—

Form:

Story, Structure, and the Galois Tesseract Recent Log24 posts have referred to the  "Penrose diamond" and Minkowski space. The Penrose diamond has nothing whatever to do with my 1976…

Vector Addition in a Finite Field

The finite (i.e., Galois) field GF(16), according to J. J. Seidel in 1974— The same field according to Steven H. Cullinane in 1986, in its guise as the…

Defining the Contest…

… Chomsky vs. Santa From a New Yorker  weblog yesterday— "Happy Birthday, Noam Chomsky." by Gary Marcus— "… two titans facing off, with Chomsky, as ever, defining the…

Poetry and Truth

From today's noon post— "In all his poems with all their enchantments for the poet himself, there is the final enchantment that they are true. The significance of…

Galois Space

An example of lines in a Galois space * — The 35 lines in the 3-dimensional Galois projective space PG(3,2)— (Click to enlarge.) There are 15 different individual linear diagrams…

Surface

"Poetry is an illumination of a surface…." — Wallace Stevens Some poetic remarks related to a different surface, Klein's Quartic— This link between the Klein map κ and…

Congruent Group Actions

A Google search today yielded no results for the phrase "congruent group actions." Places where this phrase might prove useful include— Actions of the quaternion group in finite…

Scottish Algebra

Two papers suggested by Google searches tonight— [PDF] PAPERS HELD OVER FROM THEME ISSUE ON ALGEBRA AND … ajse.kfupm.edu.sa/articles/271A_08p.pdf You +1'd this publicly. Undo File Format: PDF/Adobe Acrobat –…