In geometry, the 600-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol {3,3,5}. It is also known as the C 600, hexacosichoron [1] and hexacosihedroid. [2] It is also called a tetraplex (abbreviated from "tetrahedral complex") and a polytetrahedron, being bounded by tetrahedral cells.

The 600-cell is the finite regular four-dimensional polytope with Schläfli symbol {3,3,5}. It is also known as the hypericosahedron or hexacosichoron. It is composed of 600 tetrahedra, with 5 to an edge. The 600-cell has 120 vertices (Coxeter 1969) and 720 edges. It …

正六百胞体（ hexacosichoron ， 600-cell ），由600个正四面体胞、1200个正三角形面、720条棱、120个顶点组成，是四维凸正多胞体，正二十面体的四维类比。

几何学 中， 正六百胞体 （hexacosichoron）是 四维凸正多胞体， 施莱夫利符号 是 {3,3,5}，有時候会视为 正二十面体 的四维类比。 正六百胞体的边界有600个 正四面体 胞、1200个 正三角形 面、720条边和120个顶点。 每一顶点有20个正四面体相接。 正六百胞体的 对偶多胞体 是 正一百二十胞体。 正六百胞体的 頂點圖 是 正二十面体。 边长为a的正六百胞体超体积为 ，表体积为50√2a 3。 以原点为中心，边长为 1/φ 的正六百胞体（其中φ = (1+√5)/2是 黃金比例），頂点坐标如 …

In geometry, the grand 600-cell or grand polytetrahedron is a regular star 4-polytope with Schläfli symbol {3, 3, 5/2}. It is one of 10 regular Schläfli-Hess polytopes. It is the only one with 600 cells. It is one of four regular star 4-polytopes discovered by Ludwig Schläfli.

This configuration of five tetrahedra around each edge is found in a four-dimensional polytope having 600 tetrahedra and therefore going by the name of a 600-cell. We can describe the part of this polytope near a vertex by using the same construction we used to get from a pentagon to the pentagonal pyramid at each vertex of a regular icosahedron.

In geometry, the 600-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol {3,3,5}. It is also known as the C600, hexacosichoron and hexacosihedroid. It is also called a tetraplex (abbreviated from "tetrahedral complex") and a polytetrahedron, being bounded by tetrahedral cells.

Its boundary is composed of 600 tetrahedral cells with 20 meeting at each vertex. Together they form 1200 triangular faces, 720 edges, and 120 vertices. The 600-cell is regarded as the 4-dimensional analog of the icosahedron, since it has five tetrahedra meeting at every edge.

2023年1月10日 · The 600-cell is composed of 600 tetrahedra, joined 5 to an edge. It has 120 vertices, 720 edges, and 1200 triangles; and is the dual of the 120-cell . It is the 4D equivalent of the icosahedron , just as the 120-cell is the 4D equivalent of the dodecahedron .

In geometry, the 600-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol.It is also known as the C 600, hexacosichoron and hexacosihedroid. It is also called a tetraplex (abbreviated from "tetrahedral complex") and a polytetrahedron, being bounded by tetrahedral cells.