Truncated Sphere D17 with a 5-fold symmetry
This die is inspired by the repulsion force polyhedra
. In fact, the underlying polyhedron (not rounded) is very similar to the shape that can be obtained through this technique with 17 points repulsing each others.
Actually, I calculated the positions of 17 points to have a maximal radius for the circles resulting from the intersection of this underlying polyhedron with a sphere with the following constraints:
- 1 point per pole (upper and lower face - parallel to the horizontal plane)
- 5 points around each pole
- 5 remaining points corresponding to 5 faces perpendicular to the horizontal plane
The result is a truncated sphere with 17 circular faces of same radius.
For the numbering, as usual:
- the sum of the 5 numbers of the two tropics and of the equator is constant (and equals to 51)
- the sum of the 2 poles, of two numbers of the tropics that are symmetric relatively to the equator, of two numbers of the equator that are symmetric relatively to number 9 is constant (and equals to 18)
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