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Icosaminx simulator and solver

Play a virtual Icosaminx in your browser, or enter the colors of your own Icosaminx and get a solution.

Info

Pieces
TypeCountStickersPositionsOrientation (physical)Orientation (visual)
11251255
23023022
32012031
One row per orbit. Orientation counts are per position; multiple values mean positions differ.
Stickers
140
Axes
612 cut planes across them
Solver
Available
Distinct-piece states
≈ 2.11 × 10⁶⁷1,268,778,694,039,980,725,881,692,627,855,498,352,867,147,776,000,000,000,000,000,000,000,000 arrangements of the stickers the moves reach (Schreier–Sims)÷ 60 turns of the whole puzzle= 21,146,311,567,333,012,098,028,210,464,258,305,881,119,129,600,000,000,000,000,000,000,000Tracks individual sticker identities, even on identical-looking pieces; whole-puzzle rotations are identified. Invisible rotations of a piece and internal pieces are not counted.
Visually distinct states
Not computedVisually distinct states = distinct-piece states ÷ reachable indistinguishable arrangements.Reachable indistinguishable arrangements = 1 × reachable fraction.No visually interchangeable sticker-bearing pieces were found.The reachable fraction accounts for restrictions such as permutation parity. Computing the correct fraction and the final visual state count is not yet implemented.
Put together at random
1 in 63,866,880 reaches the original sticker identities20!·1²⁰ · 30!·2³⁰ · 12!·5¹² = 81,032,936,598,808,164,222,198,957,260,131,770,642,763,782,952,058,880,000,000,000,000,000,000,000,000 ways to put the pieces in: per type of piece, its pieces in any order and each in any orientation that looks different÷ 1,268,778,694,039,980,725,881,692,627,855,498,352,867,147,776,000,000,000,000,000,000,000,000 arrangements the moves reach = 63,866,880This uses distinct piece identities; the chance of reaching a visually solved state may be higher.

Moves

Vertex turns

FLACR
FUQPL
NALPO
HIERC
FREGU
UGJMQ