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!