Hi all,

After working with Orangery on

this D32 (not numbered yet)

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:

Using the same method, I also designed

a rounded D12 (intersection of a dodecahedron and a sphere).

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:

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

this pointed D10:

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):

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.

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

).

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!