A catalogue of combinatorial geometries

Blackburn, John E.; Crapo, Henry H.; Higgs, Denis A.

doi:10.1090/S0025-5718-1973-0419270-0

A catalogue of combinatorial geometries
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by John E. Blackburn, Henry H. Crapo and Denis A. Higgs PDF

Math. Comp. 27 (1973), 155-166 Request permission

Abstract:

We include in the microfiche section of this issue a catalogue of all the different geometric configurations which may be constructed from n points, $n \leqq 8$, by specifying their points, lines, planes, . . . , colines, copoints, their flats of each rank. It suffices to list the copoints of each combinatorial geometry G, because the colines of G are the copoints of a geometry earlier in the list, which may be located by deleting one component of the designator of G.

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