Abstract
While all Hadamard matrices are beautiful in the eyes of the mathematician, those which arise as the ±1-incidence matrix of a design with a regular group of automorphisms are especially appealing. This paper reviews some of the history of the development of Hadamard difference sets, illustrating some aspects with representative matrices whose beauty makes them appropriate decorations as we celebrate the birthday and the work of our friend and colleague Warwick de Launey.
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