Abstract

SummaryThe (7, 3, 1) block design is an object that shows up in many areas of mathematics. In fact, (7, 3, 1) seems to appear again and again in unexpected places. A 2002 paper described (7, 3, 1)'s connection with such areas as graph theory, number theory, topology, round-robin tournaments, and algebraic number fields.In this paper, we show how (7, 3, 1) makes appearances in the areas of error-correcting codes, n-dimensional finite projective geometries, difference sets, normed algebras, and the three-circle Venn diagram.

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