In geometry, the 5-cell is the convex 4-polytope with Schläfli symbol {3,3,3}. It is a 5-vertex four-dimensional object bounded by five tetrahedral cells.

In four-dimensional geometry, the rectified 5-cell is a uniform 4-polytope composed of 5 regular tetrahedral and 5 regular octahedral cells. Each edge has one tetrahedron and two octahedra. Each vertex has two tetrahedra and three octahedra. In total it …

In geometry, a truncated 5-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 5-cell. There are two degrees of truncations, including a bitruncation. The truncated 5-cell, truncated pentachoron or truncated 4-simplex is bounded by 10 cells: 5 tetrahedra, and 5 truncated tetrahedra.

正五胞体(5-cell)，又作正四面体锥(hyperpyramid)，4-单形(4-simplex)，其施莱夫利符号是{3,3,3}，顶点图是正四面体，在正五胞体中每条棱上有三个正四面体。 一般而言，它是正四面体的四维类比。

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2024年5月21日 · In geometry, the 5-cell is the convex 4-polytope with Schläfli symbol {3,3,3}. It is a 5-vertex four-dimensional object bounded by five tetrahedral cells. It is also known as a C 5, pentachoron, pentatope, pentahedroid, or tetrahedral pyramid.

5-cell (plural 5-cells) A four-dimensional polytope, analogous to a tetrahedron, whose five bounding facets are tetrahedra.

In geometry, the 5-cell is the convex 4-polytope with Schläfli symbol {3,3,3}. It is a 5-vertex four-dimensional object bounded by five tetrahedral cells.

2007年4月24日 · The 5-cell is the simplest 4-dimensional regular polytope, consisting of 5 equivalent tetrahedral cells. We can experience this in three dimensions only by projecting from 4D down to 3D. There is a well-known orthogonal projection that can be built in Zome:

2024年12月8日 · In geometry, the 5cell is a fourdimensional object bounded by 5 tetrahedral cells. It is also known as a C5, pentachoron, pentatope, pentahedroid, or tetrahedral pyramid. It is a 4simplex, the simplest possible convex regular 4polytope (fourdimensional analogue of a Platonic solid), and is anal