Displaying similar documents to “Cubic partial cubes from simplicial arrangements.”

Bicubic planar maps

William T. Tutte (1999)

Annales de l'institut Fourier

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A numerical function of bicubic planar maps found by the author and colleagues is a special case of a polynomial due to François Jaeger.

Dürer polyhedra: the dark side of melancholia

Patrick W. Fowler, Peter E. John (2002)

Discussiones Mathematicae Graph Theory

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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...