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About: Desmic system     Goto   Sponge   NotDistinct   Permalink

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In projective geometry, a desmic system (from Greek δεσμός 'band, chain') is a set of three tetrahedra in 3-dimensional projective space, such that any two are desmic (related such that each edge of one cuts a pair of opposite edges of the other). It was introduced by Stephanos. The three tetrahedra of a desmic system are contained in a pencil of quartic surfaces.