The authors Taormina and Wendland in the previous post

discussed some mathematics they apparently did not know was

related to a classic 1905 book by R. W. H. T. Hudson, *Kummer's*

Quartic Surface .

"This famous book is a prototype for the possibility

of explaining and exploring a many-faceted topic of

research, without focussing on general definitions,

formal techniques, or even fancy machinery. In this

regard, the book still stands as a highly recommendable,

unparalleled introduction to Kummer surfaces, as a

permanent source of inspiration and, last but not least,

as an everlasting symbol of mathematical culture."

— Werner Kleinert, *Mathematical Reviews* ,

as quoted at Amazon.com

Some 4×4 diagrams from that book are highly relevant to the

discussion by Taormina and Wendland of the 4×4 squares within

the 1974 Miracle Octad Generator of R. T. Curtis that were later,

in 1987, described by Curtis as pictures of the vector 4-space over

the two-element Galois field GF(2).

Hudson did not think of his 4×4 diagrams as illustrating a vector space,

but he did use them to picture certain subsets of the 16 cells in each

diagram that he called Rosenhain and Göpel *tetrads *.

Some related work of my own (click images for related posts)—

**Rosenhain tetrads as 20 of the 35 projective lines in PG(3,2)**

**Göpel tetrads as 15 of the 35 projective lines in PG(3,2)**

**Related terminology describing the Göpel tetrads above**