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Longer titles found: Regular 4-polytope (view), Uniform 4-polytope (view), Prismatic uniform 4-polytope (view)

searching for 4-polytope 15 found (130 total)

Polytope compound (1,430 words) [view diff] no match in snippet view article find links to article

In geometry, a polyhedral compound is a figure that is composed of several polyhedra sharing a common centre. They are the three-dimensional analogs of

Snub 24-cell honeycomb (379 words) [view diff] exact match in snippet view article find links to article

constructions. It is defined by an irregular decachoron vertex figure (10-celled 4-polytope), faceted by four snub 24-cells, one 16-cell, and five 5-cells. The vertex

Petrie polygon (964 words) [view diff] exact match in snippet view article find links to article

cells. As the surface of a 4-polytope is a 3-dimensional space (the 3-sphere), the Petrie polygon of a regular 4-polytope is a 3-dimensional helix in

120 (number) (971 words) [view diff] exact match in snippet view article

The 120-cell (or hecatonicosachoron) is a convex regular 4-polytope consisting of 120 dodecahedral cells.

16-cell honeycomb (714 words) [view diff] exact match in snippet view article find links to article

5-orthoplex honeycomb, {3,3,3,4,3}, with 5-orthoplex facets, the regular 4-polytope 24-cell, {3,4,3} with octahedral (3-orthoplex) cell, and cube {4,3}, with

Star polygon (1,624 words) [view diff] exact match in snippet view article find links to article

Five-pointed star Magic star Moravian star Pentagramma mirificum Regular star 4-polytope Rub el Hizb Star (glyph) Star polyhedron, Kepler–Poinsot polyhedron, and

Gray graph (812 words) [view diff] exact match in snippet view article find links to article

edges and triangular faces of a certain locally toroidal abstract regular 4-polytope. It is therefore the first in an infinite family of similarly constructed

Gray graph (812 words) [view diff] exact match in snippet view article find links to article

edges and triangular faces of a certain locally toroidal abstract regular 4-polytope. It is therefore the first in an infinite family of similarly constructed

Chiral polytope (629 words) [view diff] exact match in snippet view article find links to article

Bracho, Javier; Hubard, Isabel; Pellicer, Daniel (2014), "A Finite Chiral 4-polytope in ℝ4", Discrete & Computational Geometry Monson, Barry (2021), On Roli's

Isabel Hubard Escalera (964 words) [view diff] case mismatch in snippet view article find links to article

Bracho, Javier; Hubard, Isabel; Pellicer, Daniel (2014). "A finite chiral 4-Polytope in R 4 {\displaystyle \mathbb {R} ^{4}} ". Discrete & Computational Geometry

Dimension (3,918 words) [view diff] exact match in snippet view article find links to article

Volume 4 dimensions Spacetime Fourth spatial dimension Convex regular 4-polytope Quaternion 4-manifold Polychoron Rotations in 4-dimensional Euclidean

19 (number) (4,147 words) [view diff] exact match in snippet view article

{L(19)} } represents the abstract structure of the 57-cell: a universal 4-polytope with a total of one hundred and seventy-one (171 = 9 × 19) edges and vertices

Binary tetrahedral group (1,792 words) [view diff] exact match in snippet view article find links to article

hull of these 24 elements in 4-dimensional space form a convex regular 4-polytope called the 24-cell. The binary tetrahedral group, denoted by 2T, fits

Point group (1,170 words) [view diff] exact match in snippet view article find links to article

polyhedral groups of 3D, it can be named by its related convex regular 4-polytope. Related pure rotational groups exist for each with half the order, and

List of regular polytope compounds (1,947 words) [view diff] exact match in snippet view article find links to article

nor cell-regular: they are not facetings or stellations of any regular 4-polytope. However, they are vertex-, edge-, face-, and cell-transitive. The only