Finite
Geometry Notes |

May 20, 2009 --

This note is to supply some background for the two papers cited in the yellow box below.

The Diamond Connection:From Quilt Blocks to theMathieu Group M_{24}_{
}
Click on illustrations for details.
The connection:The four-diamond figure is related to the
finite geometry PG(3,2). (See "Symmetry
Invariance in a Diamond Ring," AMS
Notices, February 1979,
A193-194.) PG(3,2) is in turn related to the 759 octads of the Steiner
system S(5,8,24). (See "Generating the
Octad Generator," expository note, 1985.)
For the connection of S(5,8,24) with the Mathieu group M _{24}, see the references in The Miracle Octad
Generator. |