page_title: Deltoidal hexecontahedron
section_title: Variations
hierarchical_section_title: Deltoidal hexecontahedron / Variations
caption_attribution_description: whole page Perspectiva Corporum Regularium (SLUB) Deutsch: Eine Seite aus Perspectiva Corporum Regularium (1568) von Wenzel Jamnitzer und Jost Amman Fotografiert von der Sächsischen Landesbibliothek in Dresden English: A page from Perspectiva Corporum Regularium (1568) by Wenzel Jamnitzer and Jost Amman Photographed by Saxon State and University Library Dresden Link: http://digital.slub-dresden.de/werkansicht/dlf/12830/5/0/
context_page_description: In geometry, a deltoidal hexecontahedron is a Catalan solid which is the dual polyhedron of the rhombicosidodecahedron, an Archimedean solid. It is one of six Catalan solids to not have a Hamiltonian path among its vertices.
  It is topologically identical to the nonconvex rhombic hexecontahedron.
context_section_description: The deltoidal hexecontahedron can be constructed from either the regular icosahedron or regular dodecahedron by adding vertices mid-edge, and mid-face, and creating new edges from each edge center to the face centers. Conway polyhedron notation would give these as oI, and oD, ortho-icosahedron, and ortho-dodecahedron. These geometric variations exist as a continuum along one degree of freedom.
caption: This figure from Perspectiva Corporum Regularium (1568) by Wenzel Jamnitzer can be seen as a deltoidal hexecontahedron.
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