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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, D6, D8, D9, D10, D%, D11, D12, D14, D15, D16, D17, D18, D20, D24, D32, D33
Alternative shapes: alt D8, 3-fold D10 (rounded), 3-fold D10 (pointed), 4-fold D10, 5-folded D10 (pointed)
Coming soon: D22, D50
Related dice: Concave D4, Concave D6, D4 Shell, D8 Shell.