Compound of twenty triangular prisms

This uniform polyhedron compound is a symmetric arrangement of 20 triangular prisms, aligned in pairs with the axes of three-fold rotational symmetry of an icosahedron.

Compound of twenty triangular prisms
TypeUniform compound
IndexUC33
Polyhedra20 triangular prisms
Faces40 triangles, 60 squares
Edges180
Vertices60
Symmetry groupicosahedral (Ih)
Subgroup restricting to one constituent3-fold dihedral (D3)

It results from composing the two enantiomorphs of the compound of 10 triangular prisms. In doing so, the vertices of the two enantiomorphs coincide, with the result that the full compound has two triangular prisms incident on each of its vertices.

This compound shares its vertex arrangement with three uniform polyhedra as follows:


convex hull

Rhombidodecadodecahedron

Icosidodecadodecahedron

Rhombicosahedron

Compound of ten triangular prisms

Compound of twenty triangular prisms
gollark: > this is standard programming dogma, detailed logging takes a lot of space and typically you enable logging on the fly on clients to catch errors. this is literally cookie cutter "how to build apps 101", and not scary. or, phrased differently, is it scary if all of that logging was always on? obviously not as it's agreed upon and detailed in TikTok's privacy policy (really), so why is it scary that there's an on and off switch?This is them saying that remotely configurable logging is fine and normal; I don't think them being able to arbitrarily gather more data is good.
gollark: > on the topic of setting up a proxy server - it's a very standard practice to transcode and buffer media via a server, they have simply reversed the roles here by having server and client on the client, which makes sense as transcoding is very intensive CPU-wise, which means they have distributed that power requirement to the end user's devices instead of having to have servers capable of transcoding millions of videos.Transcoding media locally is not the same as having some sort of locally running *server* to do it.
gollark: That doesn't mean it's actually always what happens.
gollark: Legally, yes.
gollark: Also, that post complaining about the post complaining about tiktok appears inaccurate.

References

  • Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the Cambridge Philosophical Society, 79: 447–457, doi:10.1017/S0305004100052440, MR 0397554.


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