In geometry, the 16-cell is the regular convex 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol {3,3,4}. It is one of the six regular convex 4-polytopes first described by the Swiss mathematician Ludwig Schläfli in the mid-19th century. [1] It is also called C 16, hexadecachoron, [2] or hexdecahedroid [sic?] . [3]

4 天之前 · The 16-cell is the finite regular four-dimensional cross polytope with Schläfli symbol . It is also known as the hyperoctahedron (Buekenhout and Parker 1998) or hexadecachoron, and its composed of 16 tetrahedra, with 4 to an edge. It has 8 vertices, 24 edges, and 32 faces. It is one of the six regular polychora.

正十六胞体 (Hexadecachoron，16-cell)，是一个四维空间里的几何产物， 正多胞体 的其中一种。 它是正八面体（三维 正轴体）的四维类比，是四维的 正轴体。 它的 施莱夫利符号 为， 或，是超立方体的对偶。 其顶点图是正八面体，正16胞体每条棱上有4个正四面体。 对于一个边长为a的正16胞体，其超体积为，超表面积为，对角线长为a。 正八面体我们一定不陌生，但是看过图1的恐怕就不多了。 图1是当一个人对着正八面体的一个面靠近的很近的时候会看到的——准确地说 …

In four dimensional geometry, a 16-cell, is a regular convex polychoron, or polytope existing in four dimensions. It is also known as the hexadecachoron. It is one of the six regular convex polychora first described by the Swiss mathematician Ludwig Schläfli in the mid-19th century.

The hexadecachoron (OBSA: hex) also commonly called the 16-cell, is one of the 6 convex regular polychora. It has 16 regular tetrahedra as cells, joining 4 to an edge and 8 to a vertex in an octahedral arrangement.

The 16-Cell and Some Relatives. The 16-cell is the dual to the hypercube. It consists of 16 regular tetrahedra arranged so that each edge is shared by 4 tetrahedra. There is a remarkable trio of "natural" Zome models of the 16-cell. Each is constructed using the same set of pieces, 8 balls, 6 long reds, 6 medium reds, 6 long yellows, and 6 long ...

2024年12月23日 · 16-cell (plural 16-cells) A four-dimensional polytope, analogous to an octahedron, whose sixteen bounding facets are tetrahedra.

The 16-cell establishes an orthonormal basis for a four-dimensional reference frame, effectively defining the four orthogonal axes. Cell Structure. The Schläfli symbol of the 16-cell is {3,3,4}, highlighting that its cells are regular tetrahedra ({3,3}) and that its vertex configuration is a regular octahedron ({3,4}). The 16-cell comprises:

In geometry, the 16-cell is the regular convex 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol {3,3,4}. It is one of the six regular convex 4-polytopes first described by the Swiss mathematician Ludwig Schläfli in the mid-19th century. It is also called C16, hexadecachoron, or hexdecahedroid .

In four dimensional geometry, a 16-cell or hexadecachoron is a regular convex 4 - polytope. It is one of the six regular convex 4 - polytopes first described by the Swiss mathematician Ludwig Schläfli in the mid - 19th century. It is a part of an infinite family of polytopes, called cross - polytopes or orthoplexes.