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- Desmic_system abstract "In projective geometry, a desmic system is a set of three tetrahedra in 3-dimensional projective space, such that any two are desmic, (i.e. related such that each edge of one cuts a pair of opposite edges of the other). It was introduced by Stephanos (1879). The three tetrahedra of a desmic system are contained in a pencil of quartic surfaces. The name "desmic" comes from the Greek word δεσμός, meaning band or chain, referring to the pencil of quartics.Every line that passes through two vertices of two tetrahedra in the system also passes through a vertex of the third tetrahedron.The 12 vertices of the desmic system and the 16 lines formed in this way are the points and lines of a Reye configuration.".
- Desmic_system thumbnail Compound_of_two_tetrahedra.png?width=300.
- Desmic_system wikiPageExternalLink desmic.htm.
- Desmic_system wikiPageExternalLink 184605691.
- Desmic_system wikiPageExternalLink item?id=BSMA_1879_2_3_1_424_1.
- Desmic_system wikiPageID "23457340".
- Desmic_system wikiPageRevisionID "522961905".
- Desmic_system hasPhotoCollection Desmic_system.
- Desmic_system subject Category:Projective_geometry.
- Desmic_system comment "In projective geometry, a desmic system is a set of three tetrahedra in 3-dimensional projective space, such that any two are desmic, (i.e. related such that each edge of one cuts a pair of opposite edges of the other). It was introduced by Stephanos (1879). The three tetrahedra of a desmic system are contained in a pencil of quartic surfaces.".
- Desmic_system label "Desmic system".
- Desmic_system sameAs m.06w50wz.
- Desmic_system sameAs Q5264615.
- Desmic_system sameAs Q5264615.
- Desmic_system wasDerivedFrom Desmic_system?oldid=522961905.
- Desmic_system depiction Compound_of_two_tetrahedra.png.
- Desmic_system isPrimaryTopicOf Desmic_system.
