Decompositions resembling Pascal's triangle in binomial configurations arise from hyperplane selections in classes K where both the hyperplane and its deletion remain in K, with two additional such classes presented.
Szmielew , On n-ary equivalence relations in algebra and their applicatio ns to geometry , Warsaw, Dissertationes PAS (1981)
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Hyperplanes in Configurations, decompositions, and Pascal Triangle of Configurations
Decompositions resembling Pascal's triangle in binomial configurations arise from hyperplane selections in classes K where both the hyperplane and its deletion remain in K, with two additional such classes presented.