Truncated Sphere D11 with 3-fold symmetry.
This die is inspired by the repulsion force polyhedra
. Nonetheless, the underlying polyhedron (not rounded) is very different from the shape that can be obtained through this technique with 11 points repulsing each others.
Actually, I calculated the positions of 11 points to have a maximal radius for the circles resulting from the intersection of this underlying polyhedron with a sphere with the following constraints:
- 2 poles (upper and lower face - parallel to the horizontal plane)
- 3 points around each pole
- 3 remaining points corresponding to 3 faces perpendicular to the horizontal plane
The result is a truncated sphere with 11 circular faces of same radius.
It is numbered from 1 to 11: 2 numbers are on faces (poles), 6 between vertices and face and 3 on edges. The sum of the numbers on the 3 upper vertices surronding the North pole is 18. Same thing for the sum of the 3 numbers on the lower vertices surronding the South pole and the sum of the 3 numbers on the edges of the equator.
This die is made of a shell of 1.5mm that contains support material to make it heavier. The engraved numbers have a 0.75 mm depth. They are quite big since they overlap the surrounding faces and thus should be very easy to read.
See this thread
for more informations.
Available Truncated Sphere Dice: D4
Alternative shapes: alt D8
, 3-fold D10 (rounded)
, 3-fold D10 (pointed)
, 4-fold D10
, 5-folded D10 (pointed)
Coming soon: D22
Related dice: Concave D4
, Concave D6
, D4 Shell
, D8 Shell