# Compound of Ten Tetrahedra

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This is a classical compound of ten tetrahedra, it consists of a classical
compound of five tetrahedra and its central
inversion. One can also see it as a compound of five Stella Octangulae.
This polyhedron is also
a stellation of the icosahedron.
In "The Fifty-Nine Icosahedra" by Coxeter e.a. it is mentioned as the
21st stellation or by cell names "E f _{1}".
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I chose to use five colours to give each Stella Octangula its own colour.
Triangles with different colours will share a plane,
which gives rise to the blinking effect in the 3D model next to the picture.
There are different ways to to handle this in the physical model.
I chose a mosaic that emphasises the triangles, which I found the most logical
way, though it seems it's not common to do it like that. In fact I haven't seen
anyone else doing that. The result is really pleasing.
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In the picture above one looks into a 2-fold symmetry axis and one can easily
see that two light pink edges meet in a straight angle. It is also easy to see
the black and dark pink triangles with the top of a tetrahedron sticking out in
the same colour. Even though the face with the Bordeaux red colour is so dark
that it looks black as well.
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This model is more or less 9.5 cm in diameter, which is around 3.75 inches and
it was finished in March 2024.
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## Links

- Thumbnails
- Page with interactive models of compounds of Tetrahedra
- Teun's Polyhedra
- Home

## Last Updated

2024-04-09