Deep-cut edge-turning icosahedron simulator

Play a virtual Deep-cut edge-turning icosahedron in your browser. Deep-cut edge-turning icosahedron is a jumbling puzzle.

Info

Pieces

Type	Count	Stickers	Positions	Orientation (physical)	Orientation (visual)
15	60	1	60	1	1
15	60	1	60	1	1

One row per orbit. Orientation counts are per position; multiple values mean positions differ. Jumbling: counts cover placements discovered so far, not all possible placements.

Stickers

120

Axes

1515 cut planes across them

Turns

Jumbling

Solver

Not availableSolving is not available while jumbling moves are enabled.

Distinct-piece states

Not computedIt is worked out from the same model of the puzzle the solver uses.

Indistinguishable arrangements

13,367,494,538,843,734,067,838,845,976,5763! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! × 3! = 13,367,494,538,843,734,067,838,845,976,57640 groups of visually interchangeable pieces within their movement orbits, using the original stickers.Counts all permutations within these groups, without checking which combinations are reachable. Internal pieces are excluded because the state count tracks stickers only.

Visually distinct states

Not computedVisually distinct states = distinct-piece states ÷ reachable indistinguishable arrangements.Reachable indistinguishable arrangements = 13,367,494,538,843,734,067,838,845,976,576 × reachable fraction.The reachable fraction accounts for restrictions such as permutation parity. Computing the correct fraction and the final visual state count is not yet implemented.

Moves