Built Models of Compound Polyhedra

[marcelteun]

I thought we could gather models for compound polyhedra. I don't know why, but I like compound polyhedra and I built quite a few (well, relatively) of them.

This is the latest one I built:


It is referred to as 10A | A5xI / D3xI. I guess a 3D is quickly available in Stella, though I don't know how, otherwise I could add a link to a 3D player of the model.

There is also a 10B version, that I built before. Together they form a pair that I refer to as "Mr and Mrs". I will add pictures to these later

[robertw]

Looks to be very well made. Well done!

Yes you can find this in Stella at "Stella Library->Compounds->Cubes 10 B"

[marcelteun]

Thanks Robert.

[marcelteun]

Here is a picture of both version (A and B) together


I call them "Mr and Mrs"

[Ulrich]

Marcel,

great models, assembled very precisely!

Is the nomenclature of these compounds ( 10A.., 10B..., ) written anywhere?

Ulrich

[robertw]

I think I just called them A and B at random. They may have more formal names.

[marcelteun]

I used the nomenclature from Verheyen's book "Symmetry Orbits"

[marcelteun]

I just finished a compound of 15 cubes. It took me 9 - 10 months to build it, though I had some breaks and intermezzos. The final model is 23 cm (~9″) in diameter, and the smallest pieces have an edge length of 1 mm. Here is a picture:



This particular compound can be seen as a multiplication of the classical compound of 5 cubes and 3 cubes: if you replace every cube in the classical compound of five cubes with a classical compound of three according to the symmetry, then you will get this one. That is also the most straight-forward way of colouring: each classical compound of 3 cubes has a unique colour.

In Verheyen's book "Symmtry Orbits" this is one of the rigid compounds of cubes. If you leave out the ones with cyclic and dihedral symmetry (the ones based on prisms and anti-prisms) from this group, then there are only eight of these and this one was the last one of these that I hadn't built.

[robertw]

Very nice!

[marcelteun]

Very nice!

Thanks, Robert