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- Snub_disphenoid abstract "In geometry, the snub disphenoid is one of the Johnson solids (J84). It is a three-dimensional solid that has only equilateral triangles as faces, and is therefore a deltahedron. It is not a regular polyhedron because some vertices have four faces and others have five. It is one of the elementary Johnson solids that do not arise from "cut and paste" manipulations of the Platonic and Archimedean solids.A Johnson solid is one of 92 strictly convex regular-faced polyhedra, but which is not uniform, i.e., not a Platonic solid, Archimedean solid, prism or antiprism. They are named by Norman Johnson who first enumerated the set in 1966.It can be seen as the 8 triangular faces of the square antiprism with the two squares replaced by pairs of triangles.It was called a Siamese dodecahedron in the paper by Freudenthal and van der Waerden which first described it in 1947 in the set of eight convex deltahedra.The snub disphenoid is 4-connected, meaning that it takes the removal of four vertices to disconnect the remaining vertices. It is one of only four 4-connected simplicial well-covered polyhedra, meaning that all of the maximal independent sets of its vertices have the same size. The other three polyhedra with this property are the regular octahedron, the pentagonal bipyramid, and an irregular polyhedron with 12 vertices and 20 triangular faces (Finbow et al. 2010).".
- Snub_disphenoid thumbnail Snub_disphenoid.png?width=300.
- Snub_disphenoid wikiPageID "1133565".
- Snub_disphenoid wikiPageRevisionID "601935122".
- Snub_disphenoid dual "-".
- Snub_disphenoid edges "18".
- Snub_disphenoid faces "4".
- Snub_disphenoid hasPhotoCollection Snub_disphenoid.
- Snub_disphenoid net "Johnson_solid_84_net.png".
- Snub_disphenoid properties Convex_set.
- Snub_disphenoid properties Deltahedron.
- Snub_disphenoid symmetry "172800.0".
- Snub_disphenoid title "Johnson solid".
- Snub_disphenoid title "Snub disphenoid".
- Snub_disphenoid type Johnson_solid.
- Snub_disphenoid type "J83 - J84 - J85".
- Snub_disphenoid urlname "JohnsonSolid".
- Snub_disphenoid urlname "SnubDisphenoid".
- Snub_disphenoid vertexConfig "4".
- Snub_disphenoid vertices "8".
- Snub_disphenoid subject Category:Deltahedra.
- Snub_disphenoid subject Category:Johnson_solids.
- Snub_disphenoid type JohnsonSolids.
- Snub_disphenoid type Matter100020827.
- Snub_disphenoid type PhysicalEntity100001930.
- Snub_disphenoid type Solid115046900.
- Snub_disphenoid comment "In geometry, the snub disphenoid is one of the Johnson solids (J84). It is a three-dimensional solid that has only equilateral triangles as faces, and is therefore a deltahedron. It is not a regular polyhedron because some vertices have four faces and others have five.".
- Snub_disphenoid label "Biesfenoide romo".
- Snub_disphenoid label "Disfenoide camuso".
- Snub_disphenoid label "Disphénoïde adouci".
- Snub_disphenoid label "Siamese dodecaëder".
- Snub_disphenoid label "Snub disphenoid".
- Snub_disphenoid label "Trigondodekaeder".
- Snub_disphenoid label "変形双五角錐".
- Snub_disphenoid label "變稜雙五角椎".
- Snub_disphenoid sameAs Trigondodekaeder.
- Snub_disphenoid sameAs Biesfenoide_romo.
- Snub_disphenoid sameAs Biesfenoide_kamuts.
- Snub_disphenoid sameAs Disphénoïde_adouci.
- Snub_disphenoid sameAs Disfenoide_camuso.
- Snub_disphenoid sameAs 変形双五角錐.
- Snub_disphenoid sameAs 다듬은_맞붙인_쐐기꼴.
- Snub_disphenoid sameAs Siamese_dodecaëder.
- Snub_disphenoid sameAs m.0494gc.
- Snub_disphenoid sameAs Q124656.
- Snub_disphenoid sameAs Q124656.
- Snub_disphenoid sameAs Snub_disphenoid.
- Snub_disphenoid wasDerivedFrom Snub_disphenoid?oldid=601935122.
- Snub_disphenoid depiction Snub_disphenoid.png.
- Snub_disphenoid isPrimaryTopicOf Snub_disphenoid.