The 6-orthoplex (also known as the hexacross or hexacontatetrahedron) is a regular six-di… — @holvek

Video insights

@holvek's TikTok video "The 6-orthoplex (also known as the hexacross or hexacontatetrahedron) is a regular six-dimensional geometric polytope. It belongs to the cross-polytope (hyperoctahedral) family, serving as the 6D analogue of a 3D octahedron and a 2D square. In Cartesian coordinates, its vertices are positioned in pairs along six mutually perpendicular axes, defining its highly symmetric structure. This multi-dimensional object consists of 12 vertices, 60 edges, 160 triangular faces, and 240 tetrahedral cells. Furthermore, its boundary is formed by 192 four-dimensional hyperfaces and 64 five-dimensional facets, each of which is a regular 5-simplex (the 5D analogue of a tetrahedron). All of these elements are perfectly uniform, creating an ideal enclosed figure in six-dimensional space. In higher-dimensional geometry, the 6-orthoplex is the dual polytope of the hexeract (the 6D hypercube), meaning the centers of a hexeract's facets correspond to the vertices of a 6-orthoplex. It is represented by the Schläfli symbol {3,3,3,3,4}. Its structural symmetry is governed by the hyperoctahedral group B₆, which consists of 46,080 distinct rotations and reflections. #geometry #mathematics #Science #education" has 262,227 views, 30,858 likes, 375 comments, 1,345 shares in the public metrics captured by this index. That is an engagement rate of 12.42% (likes, comments and shares over views). It was posted 5 days ago and runs 12 seconds. It has been saved 8,155 times.

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How many views does this TikTok video have?

The capture indexed here reports 262,227 views, 30,858 likes and 375 comments.

Who posted this TikTok video?

It was posted by @holvek, who is linked from this page.

What is this TikTok video's engagement rate?

Across the captured metrics the engagement rate is 12.42% (likes + comments + shares over views).

When was this TikTok video posted?

It was posted on 2026-10-21, 5 days ago.

What hashtags are used in this video?

The capture links 4 hashtags, starting with #education.

How long is this TikTok video?

The captured clip runs 12 seconds.