Tag: Rosenhain and Göpel Page 2 of 3

Rosenhain and Göpel

(Continued) See The Oslo Version in this journal and the New Year’s Day 2014 post. The pictures of the 56 spreads in that post (shown below) are based on the 20 Rosenhain and 15 Göpel tetrads…

Mystery Box III: Inside, Outside

(Continued from Mystery Box, Feb. 4, and Mystery Box II, Feb. 5.) The Box Inside the Box Outside the Box For the connection of the inside  notation to the outside  geometry, see…

Geometric Incarnation

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…

Mathematics and Narrative (continued)

Mathematics: A review of posts from earlier this month — Wednesday, September 4, 2013 Moonshine Filed under: Uncategorized — m759 @ 4:00 PM Unexpected connections between areas of mathematics previously thought…

Moonshine II

(Continued from yesterday) The foreword by Wolf Barth in the 1990 Cambridge U. Press reissue of Hudson's 1905 classic Kummer's Quartic Surface covers some of the material in yesterday's post Moonshine. The…

Moonshine

Unexpected connections between areas of mathematics previously thought to be unrelated are sometimes referred to as "moonshine."  An example—  the apparent connections between parts of complex analysis and groups related…

Up-to-Date Geometry

The following excerpt from a January 20, 2013, preprint shows that a Galois-geometry version of the large Desargues 154203 configuration, although based on the nineteenth-century work of Galois* and of Fano,**  may at times have twenty-first-century…

Sermon

Best vs. Bester The previous post ended with a reference mentioning Rosenhain. For a recent application of Rosenhain's work, see Desargues via Rosenhain (April 1, 2013). From the…

Priority Claim

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…

Rosenhain and Göpel Revisited

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…