The geometry of Calabi-Yau manifolds and supersymmetry are
key ingredients in string theory. We will take a non-traditional point
of view on both of these. The hereditary structure of nested Calabi-Yau
manifolds underlies string dualities and motivates an algebraic
reinterpretation. Dimensional reduction of supermultiplets produces a
discrete scaffolding (Adinkra graphs) that nevertheless possesses an
emergent form of geometry. Surprisingly, we find that supermultiplets
themselves bear the stamp of Calabi-Yau geometry. Our proof of this uses
work of H.S.M. Coxeter inspired by a woodcut by M.C. Escher. The talk is
designed to be broadly accessible to graduate students