In geometry, a hemi-octahedron is an abstract regular polyhedron, containing half the faces of a regular octahedron. It has 4 triangular faces, 6 edges...

of the real projective plane. These include the hemi-cube, hemi-octahedron, hemi-dodecahedron, and hemi-icosahedron. They are (globally) projective polyhedra...

see hemi-dodecahedron. 11-cell - an abstract regular 4-polytope constructed from 11 hemi-icosahedra. hemi-dodecahedron hemi-cube hemi-octahedron McMullen...

see hemi-icosahedron. 57-cell – an abstract regular 4-polytope constructed from 57 hemi-dodecahedra. hemi-icosahedron hemi-cube hemi-octahedron McMullen...

green, and blue edge colorings in the tetrahedral graph: hemi-octahedron hemi-dodecahedron hemi-icosahedron Hemitesseract Michon, Gérard P (2000). "Polyhedra...

seen as a rectified hemi-octahedron or rectified hemi-cube. Its skeleton matches 6 vertices and 12 edges of a regular octahedron. It can be realized as...

Hemicube Hemi-octahedron Hemi-dodecahedron Hemi-icosahedron Archimedean solid Truncated tetrahedron Cuboctahedron Truncated cube Truncated octahedron Rhombicuboctahedron...

non-traditional abstract polyhedra are the Hemicube (shown), Hemi-octahedron, Hemi-dodecahedron, and the Hemi-icosahedron. These are the projective counterparts...

polyhedra (Projective polyhedron) Hemicube (geometry), hemi-octahedron, hemi-dodecahedron, hemi-icosahedron Tetrahedron Disphenoid Pentahedron Square pyramid...

at infinity) correspond directionally to the three vertices of the hemi-octahedron, an abstract polyhedron. The other four vertices exist at alternate...

hosohedra: Hemi-cube, {4,3}/2 Hemi-octahedron, {3,4}/2 Hemi-dodecahedron, {5,3}/2 Hemi-icosahedron, {3,5}/2 Hemi-dihedron, {2p,2}/2, p≥1 Hemi-hosohedron...

related to 4 of 5 Platonic solids. The hemi-cube and hemi-octahedron generalize as hemi-n-cubes and hemi-n-orthoplexes to any rank. 5 of 6 convex regular 4-polytopes...

triangles of the octahedron, the only regular polyhedron with an even number of faces meeting at a vertex), which are precisely the non-hemi faces of the...

ὀκτάς (oktás), ὀκτάκις (oktákis) "eight times" hemi-octahedron, octad, octadic, octagon, octahedron, octameter, octode oct- eight Latin octō octangular...

hosohedra: Hemi-cube, {4,3}/2 Hemi-octahedron, {3,4}/2 Hemi-dodecahedron, {5,3}/2 Hemi-icosahedron, {3,5}/2 Hemi-dihedron, {2p,2}/2, p>=1 Hemi-hosohedron...

ὀκτάς (oktás), ὀκτάκις (oktákis) "eight times" hemi-octahedron, octad, octadic, octagon, octahedron, octameter, octode oct- eight Latin octō octangular...

The Franklin graph embedded in the projective plane as the truncated hemi-octahedron. Franklin graph as a 6-sided crossed prism graph. Wikimedia Commons...

hexagonal faces of the hexagonal tiling as type {6,3}(2,0). The petrial octahedron, {3,4}π, has 6 vertices, 12 edges, and 4 skew hexagon faces. It has an...

alternate vertices. Coxeter labels an alternation by a prefixed h, standing for hemi or half. Because alternation reduces all polygon faces to half as many sides...

classified according to symmetry. For example, the cube and the regular octahedron share the same symmetry, as do the regular dodecahedron and regular icosahedron...

come from the original | 3 5/3 5/2's snub triangles. Additionally, each octahedron can be replaced by the tetrahemihexahedron with the same edges and vertices...

option for adequate full-sphere reproduction only at low frequencies. The octahedron is difficult to set up in "upright" orientation, since the listener would...

The hemicube is a regular map of type {4,3} in the projective plane. The hemi-dodecahedron is a regular map produced by pentagonal embedding of the Petersen...

also dual. For instance the Platonic solids come in dual pairs, with the octahedron dual to the cube, the dodecahedron dual to the icosahedron, and the tetrahedron...

regular 4-polytope, existing in the real projective plane, it can be seen by presenting its 11 hemi-icosahedral vertices and cells by index and color....

September e.g. heptathlon e.g. hebdomas e.g. October e.g. octopus e.g. octahedron e.g. November e.g. December e.g. decathlon, decahedron, decagon e.g. duodenum...

to an octahedron circumscribed about an icosahedron. In fact, each of the twelve vertices of the icosahedron divides an edge of the octahedron according...

dodecahemidodecahedron, endohedric, ephedra, exedra, hemipolyhedron, hexahedron, octahedron, pentahedroid, pentahedron, polyhedron, pyritohedron, rhombohedron, sanhedrin...