Truncated Cuboctahedron of Cubes

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Truncated Cuboctahedron of Cubes

Postby PolyClare » Thu Jan 21, 2010 4:18 am

Was fooling around with some Pastelles the other day, and made this:

Image

I put up a post on the Geomag Wikia about it too.
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Re: Truncated Cuboctahedron of Cubes

Postby AFKAN » Thu Jan 21, 2010 12:19 pm

I love shapes like this 8-)
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Re: Truncated Cuboctahedron of Cubes

Postby karlhorton » Thu Jan 21, 2010 1:39 pm

Good old Bonnie Stewart, eh? Meandering through the toroids.

Excellent photography, Clare, how did you do that? I'm
bored of my black cloth backdrop.
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Re: Truncated Cuboctahedron of Cubes

Postby PolyClare » Thu Jan 21, 2010 7:03 pm

karlhorton wrote:Good old Bonnie Stewart, eh? Meandering through the toroids.


I couldn't remember where I'd seen this construction -- I just put it together from memory. I tried to look for it online and didn't find anything. You're likely right, I'm probably remembering it from Bonnie Stewart's fabulous Toroid book. I'd wondered if that's where I'd run across it.

I love that it's actually also stable without the blue triangles!

karlhorton wrote:Excellent photography, Clare, how did you do that? I'm bored of my black cloth backdrop.


Thanks! My favorite quick background is poster board, in whatever color suits my mood -- I have several I've gotten from a 99¢ store. For this shot, I put a little box on my bed (to make a stable platform for the object), covered it with the lower half of the poster board, and my sister held the back of it up while I snapped a few quick photos. If I'm taking more time about the photos, I'll fix a temporary attachment for the poster board back to something.
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Re: Truncated Cuboctahedron of Cubes

Postby cappells » Fri Jan 22, 2010 2:48 am

I saw a bunch of toroid images on the software3d website (Great Stella) that you recently referenced. Some I am going to try out this weekend. Do you think that is where you remember it from?
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Re: Truncated Cuboctahedron of Cubes

Postby PolyClare » Fri Jan 22, 2010 2:58 am

The guy who created Great Stella (Robert Webb) has created quite a few models that are drawn from Bonnie Stewart's Adventures Among the Toroids book. So it could easily be in both places, and it's true that I could've seen it in either place if so. :)
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Re: Truncated Cuboctahedron of Cubes

Postby PolyClare » Sun Jan 24, 2010 3:54 pm

I just took a new picture of the same object without the external triangles. I think it looks extra slick with just the cubes like this.

Image
(full resolution)

I also added this picture to the same Geomag Wikia page entitled Truncated Cuboctahedron of Cubes
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Re: Truncated Cuboctahedron of Cubes

Postby karlhorton » Mon Jan 25, 2010 10:13 pm

It's not quite stable like this - the open inner cube faces leave some flex, I guess.

But I just noticed - I'm sure there's enough space there to convert all of the external cubes into square antiprisms .... wonder if you get any nice length coincidences then?

more doodling later.
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Re: Truncated Cuboctahedron of Cubes

Postby danielducov » Thu Jan 28, 2010 7:31 pm

Hello,
I tried to do the rhombicuboctahedron with square antiprisms, but there are no length coincidences.
I can't post pictures of this object because I don't know how to do this manipulation, sorry. If you accept explaining me that, I'll do that fast.
Ludo.
Sorry, I don't speak very good English.
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Re: Truncated Cuboctahedron of Cubes

Postby karlhorton » Sat Jan 30, 2010 6:35 pm

Ludovic,

you can upload pictures to the site using the section
underneath the one you type into when composing forum posts.

First press the [Browse...] button to find the file on your computer.

Then press the [Add the File] button.

Your picture should upload.
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