(On His Dies Natalis )…
An
Exceptional Isomorphism Between Geometric and
Combinatorial Steiner Triple Systems Underlies
the Octads of the M24 Steiner
System S(5, 8, 24).
This is asserted in an excerpt from…
"The
smallest non-rank 3 strongly regular graphs which satisfy the 4-vertex condition"
by Mikhail Klin, Mariusz Meszka, Sven
Reichard, and Alex Rosa,
BAYREUTHER MATHEMATISCHE SCHRIFTEN 73 (2005), 152-212—
(Click for clearer image)
Note
that Theorem 46 of Klin et
al. describes the role of the Galois
tesseract in the Miracle Octad Generator
of R. T. Curtis (original 1976 version). The tesseract (a 4×4 array)
supplies the geometric
part of the above
exceptional geometric-combinatorial isomorphism.