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Dürer polyhedra: the dark side of melancholia

100%

Fowler P., John P.

Discussiones Mathematicae Graph Theory

2002

tom 22

nr 1

101-109

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 vertices) and total counts are given for 10 ≤ vertices ≤ 26.

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1 Discussiones Mathematicae Graph Theory

1 Fowler P.

1 John P.

1 2002

Wyniki wyszukiwania

Dürer polyhedra: the dark side of melancholia