Change Objects

Log24

Friday, December 25, 2020

Change Arises: Mathematical Examples

Filed under: General — Tags: Change Arises, Change Objects, Eightfold Cube, Strange Change — m759 @ 12:59 am

From old posts tagged Change Arises —

From Christmas 2005:

Click on image for details.

For the eightfold cube
as it relates to Klein's
simple group, see
"A Reflection Group
of Order 168."

For an rather more
complicated theory of
Klein's simple group, see

Click on image for details.

The phrase "change arises" is from Arkani-Hamed in 2013, describing
calculations in physics related to properties of the positive Grassmannian —

A related recent illustration from Quanta Magazine —

The above illustration of seven cells is not unrelated to
the eightfold-cube model of the seven projective points in
the Fano plane.

Comments Off

Thursday, December 24, 2020

Change Arises: A Literary Example

Filed under: General — Tags: Change Objects, Strange Change — m759 @ 12:12 pm

The “Change Arises” part of the title refers to the previous post.
The 1905 “geometric object” there, a 4×4 square, appeared earlier,
in 1869, in a paper by Camille Jordan. For that paper, and the
“literary example” of the title, see “Ici vient M. Jordan .”

This post was suggested by the appearance of Jordan in today’s
memorial post for Peter M. Neumann by Peter J. Cameron.

Related remarks on Jordan and “geometrical objects” from 2016 —