Built Models of Compound Polyhedra

Show us your models and discuss model-making techniques. Paper? Wood? Single vs double tabs? etc.
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marcelteun
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Built Models of Compound Polyhedra

Post by marcelteun » Fri Oct 11, 2019 2:35 pm

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:
Image

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

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robertw
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Re: Built Models of Compound Polyhedra

Post by robertw » Sat Oct 12, 2019 1:01 pm

Looks to be very well made. Well done!

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


Image

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marcelteun
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Re: Built Models of Compound Polyhedra

Post by marcelteun » Mon Oct 14, 2019 6:14 am

Thanks Robert.

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marcelteun
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Re: Built Models of Compound Polyhedra

Post by marcelteun » Wed Oct 16, 2019 8:29 am

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

I call them "Mr and Mrs"

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Ulrich
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Re: Built Models of Compound Polyhedra

Post by Ulrich » Fri Nov 01, 2019 9:44 am

Marcel,

great models, assembled very precisely!

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

Ulrich

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Re: Built Models of Compound Polyhedra

Post by robertw » Sun Nov 03, 2019 8:45 am

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

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marcelteun
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Re: Built Models of Compound Polyhedra

Post by marcelteun » Thu Nov 07, 2019 12:50 pm

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

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marcelteun
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Re: Built Models of Compound Polyhedra

Post by marcelteun » Mon Oct 12, 2020 6:54 am

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:

Image

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.

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Re: Built Models of Compound Polyhedra

Post by robertw » Mon Oct 12, 2020 1:30 pm

Very nice!

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marcelteun
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Re: Built Models of Compound Polyhedra

Post by marcelteun » Tue Oct 13, 2020 9:31 am

robertw wrote:
Mon Oct 12, 2020 1:30 pm
Very nice!
Thanks, Robert

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