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Truncated Spheres [message #21786] Tue, 21 December 2010 21:46 UTC

Magic
Messages: 981
Registered: August 2008
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Senior Member

Hi all,

After working with Orangery on this D32 (not numbered yet)

http://www.shapeways.com/modules/udesign/utils/openfile.php?id=187765&f=photos/photo28475.jpg

I decided to go on the idea of making dice from truncated spheres.

As you know, a round D6 can be defined as the intersection of a cube and a sphere:

http://www.shapeways.com/modules/udesign/utils/openfile.php?id=182057&f=photos/photo27921.jpg

Using the same method, I also designed a rounded D12 (intersection of a dodecahedron and a sphere).

http://www.shapeways.com/modules/udesign/utils/openfile.php?id=192730&f=photos/photo29614.jpg

As I originally wanted to make a D10, I put back two opposite portions of sphere to the D12 to get this round D10 with a 5-fold symmetry:

http://www.shapeways.com/modules/udesign/utils/openfile.php?id=192018&f=photos/photo29559.jpg

Then, instead of using the original portions of sphere, I replaced them by cones (tangent to the sphere) to get this pointed D10:

http://www.shapeways.com/modules/udesign/utils/openfile.php?id=192141&f=photos/photo29560.jpg

Another D10 with a 4-fold symmetry can be obtained by using a different underlying polygon with 10 faces (2 squares and 8 non-regular pentagons):

http://www.shapeways.com/modules/udesign/utils/openfile.php?id=191731&f=photos/photo29608.jpg

Note the strange way I had to numbered it: this is due to the fact that a face is not always opposed to another face but to an edge.

Finally, playing with truncated spheres and cones, I found this strange shape that is mid-way between a sphere and a cube.

http://www.shapeways.com/modules/udesign/utils/openfile.php?id=191693&f=photos/photo29420.jpg

Don't know exactly what to do with it (not a die anyway because it can stop on a "edge", even though it has no edge Smile

).

Currently I am working on a 3rd D10 with a 3-fold symmetry (not finished yet) and also on a D9... So, more news will come soon!

[Updated on: Tue, 21 December 2010 22:23 UTC]

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	Truncated Spheres By: Magic on Tue, 21 December 2010 21:46 UTC
	Re: Truncated Spheres By: clsn on Tue, 21 December 2010 22:08 UTC
	Re: Truncated Spheres By: Magic on Tue, 21 December 2010 22:32 UTC
	Re: Truncated Spheres By: Magic on Mon, 03 January 2011 13:52 UTC
	Re: Truncated Spheres By: clsn on Mon, 03 January 2011 13:59 UTC
	Re: Truncated Spheres By: Orangery on Thu, 06 January 2011 15:06 UTC
	Re: Truncated Spheres By: Magic on Thu, 06 January 2011 21:32 UTC
	Re: Truncated Spheres By: Orangery on Fri, 07 January 2011 10:15 UTC
	Re: Truncated Spheres By: Magic on Fri, 07 January 2011 18:02 UTC
	Re: Truncated Spheres By: Magic on Thu, 13 January 2011 22:13 UTC
	Re: Truncated Spheres By: Magic on Sun, 20 February 2011 07:52 UTC
	Re: Truncated Spheres By: Orangery on Sun, 20 February 2011 10:01 UTC
	Re: Truncated Spheres By: Magic on Sun, 20 February 2011 11:17 UTC
	Re: Truncated Spheres By: Magic on Sun, 20 February 2011 17:11 UTC
	Re: Truncated Spheres By: Orangery on Wed, 23 February 2011 20:26 UTC
	Re: Truncated Spheres By: Magic on Wed, 23 February 2011 21:10 UTC
	Re: Truncated Spheres By: Orangery on Fri, 18 March 2011 11:09 UTC
	Re: Truncated Spheres By: Magic on Fri, 18 March 2011 19:26 UTC
	Re: Truncated Spheres By: Youknowwho4eva on Fri, 18 March 2011 19:29 UTC
	Re: Truncated Spheres By: Magic on Fri, 18 March 2011 20:24 UTC
	Re: Truncated Spheres By: Orangery on Fri, 18 March 2011 21:19 UTC
	Re: Truncated Spheres By: Magic on Sun, 20 March 2011 16:26 UTC
	Re: Truncated Spheres By: Magic on Mon, 11 April 2011 05:57 UTC
	Re: Truncated Spheres By: Magic on Mon, 11 April 2011 06:12 UTC
	Re: Truncated Spheres By: Orangery on Mon, 11 April 2011 06:53 UTC
	Re: Truncated Spheres By: Magic on Mon, 11 April 2011 21:15 UTC
	Re: Truncated Spheres By: Orangery on Tue, 12 April 2011 07:29 UTC
	Re: Truncated Spheres By: henryseg on Tue, 12 April 2011 15:07 UTC
	Re: Truncated Spheres By: Magic on Wed, 13 April 2011 10:35 UTC
	Re: Truncated Spheres By: Magic on Sun, 17 April 2011 08:38 UTC
	Re: Truncated Spheres By: Orangery on Sun, 17 April 2011 13:30 UTC
	Re: Truncated Spheres By: dizingof on Sun, 17 April 2011 13:42 UTC
	Re: Truncated Spheres By: Magic on Sun, 17 April 2011 16:49 UTC
	Re: Truncated Spheres By: dizingof on Sun, 17 April 2011 16:55 UTC
	Re: Truncated Spheres By: Magic on Sun, 01 May 2011 06:13 UTC
	Re: Truncated Spheres By: Magic on Sun, 01 May 2011 06:35 UTC
	Re: Truncated Spheres By: Orangery on Sun, 01 May 2011 08:44 UTC
	Re: Truncated Spheres By: Magic on Sun, 01 May 2011 09:10 UTC
	Re: Truncated Spheres By: Orangery on Tue, 31 May 2011 08:27 UTC
	Re: Truncated Spheres By: Orangery on Tue, 31 May 2011 08:40 UTC
	Re: Truncated Spheres By: Magic on Tue, 31 May 2011 18:10 UTC
	Re: Truncated Spheres By: Orangery on Wed, 01 June 2011 15:30 UTC
	Re: Truncated Spheres By: Magic on Fri, 03 June 2011 17:37 UTC
	Re: Truncated Spheres By: Magic on Sun, 10 July 2011 08:36 UTC
	Re: Truncated Spheres By: Magic on Sun, 24 July 2011 17:19 UTC
	Re: Truncated Spheres By: Orangery on Mon, 25 July 2011 06:54 UTC
	Re: Truncated Spheres By: Magic on Mon, 25 July 2011 17:53 UTC
	Re: Truncated Spheres By: Magic on Sun, 07 August 2011 16:59 UTC
	Re: Truncated Spheres By: Orangery on Tue, 09 August 2011 07:27 UTC
	Re: Truncated Spheres By: Magic on Wed, 10 August 2011 19:44 UTC
	Re: Truncated Spheres By: Magic on Sun, 21 August 2011 19:26 UTC
	Re: Truncated Spheres By: Orangery on Mon, 22 August 2011 13:15 UTC
	Re: Truncated Spheres By: Magic on Mon, 22 August 2011 15:34 UTC
	Re: Truncated Spheres By: Orangery on Thu, 25 August 2011 20:44 UTC
	Re: Truncated Spheres By: Magic on Thu, 13 October 2011 05:54 UTC
	Re: Truncated Spheres By: Magic on Thu, 13 October 2011 06:02 UTC
	Re: Truncated Spheres By: Orangery on Thu, 13 October 2011 08:08 UTC
	Re: Truncated Spheres By: Magic on Thu, 13 October 2011 20:07 UTC
	Re: Truncated Spheres By: Magic on Sun, 16 October 2011 20:03 UTC
	Re: Truncated Spheres By: Magic on Sun, 16 October 2011 20:36 UTC
	Re: Truncated Spheres By: Orangery on Mon, 17 October 2011 08:04 UTC
	Re: Truncated Spheres By: Magic on Mon, 17 October 2011 20:37 UTC
	Re: Truncated Spheres By: Magic on Sun, 30 October 2011 10:22 UTC
	Re: Truncated Spheres By: Magic on Tue, 01 November 2011 17:10 UTC
	Re: Truncated Spheres By: Magic on Sun, 18 December 2011 12:11 UTC
	Re: Truncated Spheres By: Orangery on Sun, 18 December 2011 13:36 UTC
	Re: Truncated Spheres By: Magic on Sun, 18 December 2011 15:03 UTC
	Re: Truncated Spheres By: Magic on Sat, 31 December 2011 12:29 UTC
	Re: Truncated Spheres By: aleakybos on Sat, 24 March 2012 08:26 UTC
	Re: Truncated Spheres By: Magic on Sat, 24 March 2012 10:28 UTC
	Re: Truncated Spheres By: Magic on Sat, 24 March 2012 17:57 UTC
	Re: Truncated Spheres By: aleakybos on Sun, 25 March 2012 08:28 UTC
	Re: Truncated Spheres By: Magic on Sun, 25 March 2012 10:55 UTC
	Re: Truncated Spheres By: Magic on Wed, 25 July 2012 06:57 UTC
	Re: Truncated Spheres By: Orangery on Wed, 25 July 2012 07:29 UTC
	Re: Truncated Spheres By: Magic on Wed, 25 July 2012 11:56 UTC
	Re: Truncated Spheres By: Orangery on Wed, 25 July 2012 14:24 UTC
	Re: Truncated Spheres By: Magic on Thu, 26 July 2012 05:30 UTC

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