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22 relations: Cantellated 24-cells, Cupola (geometry), Emanuel Lodewijk Elte, Goursat tetrahedron, Hexagonal prism, List of F4 polytopes, List of mathematical shapes, List of polygons, polyhedra and polytopes, Octahedral cupola, Point groups in four dimensions, Regular skew polyhedron, Runcicantellated 24-cell honeycomb, Runcinated 24-cell honeycomb, Runcinated 24-cells, Runcination, Snub (geometry), Snub 24-cell, Steritruncated 16-cell honeycomb, Triangular prism, Truncated 24-cells, Uniform 4-polytope, Uniform polytope.
Cantellated 24-cells
In four-dimensional geometry, a cantellated 24-cell is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular 24-cell.
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Cupola (geometry)
In geometry, a cupola is a solid formed by joining two polygons, one (the base) with twice as many edges as the other, by an alternating band of isosceles triangles and rectangles.
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Emanuel Lodewijk Elte
Emanuel Lodewijk Elte (16 March 1881 in Amsterdam – 9 April 1943 in Sobibór) at joodsmonument.nl was a Dutch mathematician.
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Goursat tetrahedron
In geometry, a Goursat tetrahedron is a tetrahedral fundamental domain of a Wythoff construction.
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Hexagonal prism
In geometry, the hexagonal prism is a prism with hexagonal base.
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List of F4 polytopes
In 4-dimensional geometry, there are 9 uniform 4-polytopes with F4 symmetry, and one chiral half symmetry, the snub 24-cell.
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List of mathematical shapes
Following is a list of some mathematically well-defined shapes.
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List of polygons, polyhedra and polytopes
A polytope is a geometric object with flat sides, which exists in any general number of dimensions.
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Octahedral cupola
In 4-dimensional geometry, the octahedral cupola is a 4-polytope bounded by one octahedron and a parallel rhombicuboctahedron, connected by 20 triangular prisms, and 6 square pyramids.
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Point groups in four dimensions
In geometry, a point group in four dimensions is an isometry group in four dimensions that leaves the origin fixed, or correspondingly, an isometry group of a 3-sphere.
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Regular skew polyhedron
In geometry, the regular skew polyhedra are generalizations to the set of regular polyhedron which include the possibility of nonplanar faces or vertex figures.
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Runcicantellated 24-cell honeycomb
In four-dimensional Euclidean geometry, the runcicantellated 24-cell honeycomb is a uniform space-filling honeycomb.
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Runcinated 24-cell honeycomb
In four-dimensional Euclidean geometry, the runcinated 24-cell honeycomb is a uniform space-filling honeycomb.
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Runcinated 24-cells
In four-dimensional geometry, a runcinated 24-cell is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular 24-cell.
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Runcination
In geometry, runcination is an operation that cuts a regular polytope (or honeycomb) simultaneously along the faces, edges and vertices, creating new facets in place of the original face, edge, and vertex centers.
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Snub (geometry)
In geometry, a snub is an operation applied to a polyhedron.
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Snub 24-cell
In geometry, the snub 24-cell or snub disicositetrachoron is a convex uniform 4-polytope composed of 120 regular tetrahedral and 24 icosahedral cells.
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Steritruncated 16-cell honeycomb
In four-dimensional Euclidean geometry, the steritruncated 16-cell honeycomb is a uniform space-filling honeycomb, with runcinated 24-cell, truncated 16-cell, octahedral prism, 3-6 duoprism, and truncated tetrahedral prism cells.
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Triangular prism
In geometry, a triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides.
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Truncated 24-cells
In geometry, a truncated 24-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 24-cell.
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Uniform 4-polytope
In geometry, a uniform 4-polytope (or uniform polychoron) is a 4-polytope which is vertex-transitive and whose cells are uniform polyhedra, and faces are regular polygons.
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Uniform polytope
A uniform polytope of dimension three or higher is a vertex-transitive polytope bounded by uniform facets.
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Redirects here:
Full snub 24-cell, Great prismatotetracontoctachoron, Omnisnub 24-cell, Omnitruncated 24-cell, Prismatorhombated icositetrachoron, Prismatorhombisnub icositetrachoron, Runcic snub 24-cell, Runcinated 24-cell, Runcisnub 24-cell, Runcitruncated 24-cell, Runicantic snub 24-cell, Small prismatotetracontoctachoron.
References
[1] https://en.wikipedia.org/wiki/Runcinated_24-cells
