## Galois Spaceby Steven H. Cullinane on July 12, 2012An example of lines in a Galois
space * —
The 35 lines in the 3-dimensional Galois projective space PG(3,2)— There are 15 different individual linear diagrams in the figure above. These are the points of the Galois space PG(3,2). Each 3-set of linear diagrams represents the structure of one of the 35 4×4 arrays and also represents a line of the projective space. The symmetry of the linear diagrams accounts for the symmetry of the 840 possible images in the kaleidoscope puzzle. *
For further details on the phrase "Galois space," see Beniamino Segre's
"On Galois Geometries," |