Home » Community » Work in progress » Truncated Spheres
Search Search  
Truncated Spheres [message #21786] Tue, 21 December 2010 21:46 UTC Go to previous message
avatar Magic  is currently offline Magic
Messages: 1115
Registered: August 2008
Go to my shop
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]

Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Read Message
Previous Topic:Think Outside the Box Ring
Next Topic:How small have you gone? Help!
Goto Forum:
   Go