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Geometrical shape

 
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Marcus Marcusson



Joined: 05 Aug 2007
Posts: 1
PostPosted: Mon Jul 23, 2007 6:20 am    Post subject: Geometrical shape Reply with quote
What's the English name of the 26-side ball-shape of the point leveler
weight on the picture? In Swedish it's evidently "rombkuboktaeder"...

http://www.abc.se/home/m10901/RAIL/osj_klot.html

/M
--
SUBLIMITETSAKADEMIEN
http://mac.abc.se/~pictor/

Archived from group: uk>education>maths
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Ahoyhoy



Joined: 05 Aug 2007
Posts: 72
PostPosted: Mon Jul 23, 2007 12:13 pm    Post subject: Re: Geometrical shape Reply with quote
On Mon, 23 Jul 2007 02:20:09 +0200, pictorNOSPAM@abc.se (Marcus
Marcusson) wrote:

>What's the English name of the 26-side ball-shape of the point leveler
>weight on the picture? In Swedish it's evidently "rombkuboktaeder"...
>
>http://www.abc.se/home/m10901/RAIL/osj_klot.html


That would be a rhombicuboctahedron.
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Dr A. N. Walker



Joined: 05 Aug 2007
Posts: 203
PostPosted: Mon Jul 23, 2007 2:49 pm    Post subject: Re: Geometrical shape Reply with quote
In article ,
Ahoyhoy wrote:
>On Mon, 23 Jul 2007 02:20:09 +0200, pictorNOSPAM@abc.se (Marcus
>Marcusson) wrote:
>>What's the English name of the 26-side ball-shape of the point leveler
>>weight on the picture? In Swedish it's evidently "rombkuboktaeder"...
>>http://www.abc.se/home/m10901/RAIL/osj_klot.html
>That would be a rhombicuboctahedron.

Yes, but what's that in English? [Smile]

--
Andy Walker, School of MathSci., Univ. of Nott'm, UK.
anw@maths.nott.ac.uk
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Brian Reay



Joined: 05 Aug 2007
Posts: 215
PostPosted: Mon Jul 23, 2007 4:18 pm    Post subject: Re: Geometrical shape Reply with quote
"Dr A. N. Walker" wrote in message $n56$1@oyez.ccc.nottingham.ac.uk...
> In article ,
> Ahoyhoy wrote:
>>On Mon, 23 Jul 2007 02:20:09 +0200, pictorNOSPAM@abc.se (Marcus
>>Marcusson) wrote:
>>>What's the English name of the 26-side ball-shape of the point leveler
>>>weight on the picture? In Swedish it's evidently "rombkuboktaeder"...
>>>http://www.abc.se/home/m10901/RAIL/osj_klot.html
>>That would be a rhombicuboctahedron.
>
> Yes, but what's that in English? [Smile]

I know it as a cantellated cube.

Brian
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Ahoyhoy



Joined: 05 Aug 2007
Posts: 72
PostPosted: Mon Jul 23, 2007 5:43 pm    Post subject: Re: Geometrical shape Reply with quote
On 23 Jul 2007 10:49:55 GMT, anw@maths.nott.ac.uk (Dr A. N. Walker)
wrote:

>In article ,
>Ahoyhoy wrote:
>>On Mon, 23 Jul 2007 02:20:09 +0200, pictorNOSPAM@abc.se (Marcus
>>Marcusson) wrote:
>>>What's the English name of the 26-side ball-shape of the point leveler
>>>weight on the picture? In Swedish it's evidently "rombkuboktaeder"...
>>>http://www.abc.se/home/m10901/RAIL/osj_klot.html
>>That would be a rhombicuboctahedron.
>
> Yes, but what's that in English? [Smile]

See http://en.wikipedia.org/wiki/Rhombicuboctahedron for an
explanation and animated diagram.
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Ahoyhoy



Joined: 05 Aug 2007
Posts: 72
PostPosted: Mon Jul 23, 2007 5:48 pm    Post subject: Re: Geometrical shape Reply with quote
On Mon, 23 Jul 2007 12:18:29 GMT, "Brian Reay"
wrote:

>"Dr A. N. Walker" wrote in message
>$n56$1@oyez.ccc.nottingham.ac.uk...
>> In article ,
>> Ahoyhoy wrote:
>>>On Mon, 23 Jul 2007 02:20:09 +0200, pictorNOSPAM@abc.se (Marcus
>>>Marcusson) wrote:
>>>>What's the English name of the 26-side ball-shape of the point leveler
>>>>weight on the picture? In Swedish it's evidently "rombkuboktaeder"...
>>>>http://www.abc.se/home/m10901/RAIL/osj_klot.html
>>>That would be a rhombicuboctahedron.
>>
>> Yes, but what's that in English? [Smile]
>
>I know it as a cantellated cube.

Assuming the cantellation is uniform, i.e. 50%, then the shape
produced is a rhombicuboctahedron. Less than 50% cantellation
produces a bevelled cube, more than 50% produces a bevelled
octahedron.
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Simon Rayner



Joined: 05 Aug 2007
Posts: 2
PostPosted: Mon Jul 23, 2007 6:45 pm    Post subject: Re: Geometrical shape Reply with quote
In message , Brian Reay
writes
>"Dr A. N. Walker" wrote in message
>$n56$1@oyez.ccc.nottingham.ac.uk...
>> In article ,
>> Ahoyhoy wrote:
>>>On Mon, 23 Jul 2007 02:20:09 +0200, pictorNOSPAM@abc.se (Marcus
>>>Marcusson) wrote:
>>>>What's the English name of the 26-side ball-shape of the point leveler
>>>>weight on the picture? In Swedish it's evidently "rombkuboktaeder"...
>>>>http://www.abc.se/home/m10901/RAIL/osj_klot.html
>>>That would be a rhombicuboctahedron.
>>
>> Yes, but what's that in English? [Smile]
>
>I know it as a cantellated cube.
>
>Brian
>
>
Cundy and Rollett call it a (small) rhombicuboctahedron: page 105 in
Mathematical Models (OUP 2nd Edition 1961).

Simon
--
Simon Rayner
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