A simple algorithm for the calculation of the characteristic polynomial and the eigenvalues of a hexagonal tape. (Ein einfacher Algorithmus zur Berechnung des charakteristischen Polynoms und der Eigenvectoren eines hexagonalen Bandes.)
Self-dual non-Hamiltonian polyhedra with only two types of faces
Cauchy transforms of self-similar measures.
Dürer polyhedra: the dark side of melancholia
Dürer's engraving Melencolia I famously includes a perspective view of a solid polyhedral block of which the visible portion is an 8-circuit bounding a pentagon-triple+triangle patch. The polyhedron is usually taken to be a cube truncated on antipodal corners, but an infinity of others are compatible with the visible patch. Construction of all cubic polyhedra compatible with the visible portion (i.e., Dürer Polyhedra) is discussed, explicit graphs and symmetries are listed for small cases ( ≤ 18...
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