Looks great (except for the turning
)! This is technically a fudged slice-turn only mixup starminx in the shape of a truncated icosahedron correct?
I'd be inclined to technically call it a fudged Elemental Slice-turn-only Mixup Starminx. A true Mixup Starminx would allow the Starminx edges to be exchanged with the Starminx X-centers (the star points). That isn't quite the case here as the edges themselves have been cut up into more elemental shapes. On a spherical Starminx the edges are sliding rhombuses, here that 4 sided shape has been cut up to form 2 triangles. This is very closely related to what I'm doing with my Elemental Slice-turn-only Mixup Master Skewb
which I have yet to finish.
The puzzle is related to the Doctor Skewb
by Carl Hoff, which also features intersecting great circles of tokens around a sphere. Whereas Carl's design has four intersecting great circles, Fudball has six.
Unfortunately, it takes rather much force to push the tiles. For this reason, the puzzle is not for sale with Shapeways.
The great circles on my Doctor Skewb aren't quite great circles. The paths themselves have been fudged such that all crossing are at 90 degrees. So the path is a series of connected S-curves. Here as you have fudged the pieces into equilateral triangles, I would think you'd also want to fudge the paths such that they all cross at 60 degrees. The advantage of staying with great circles is you should also be able to add in the Starminx face turns if you wanted to but you don't make use of them in this puzzle anyways. After I've finished my Elemental Slice-turn-only Mixup Master Skewb and I see how it turns I may have to revisit this geometry and see if fudging the path would help the turning.