Christoph's Jewel simulator and solver
Play a virtual Christoph's Jewel in your browser, or enter the colors of your own Christoph's Jewel and get a solution. Also known as Magic Octahedron (no tips).
Info
- Pieces
One row per orbit. Orientation counts are per position; multiple values mean positions differ. - Stickers
- 48
- Axes
- 36 cut planes across them
- Solver
- Available
- Distinct-piece states
- ≈ 2.01 × 10¹⁵48,217,879,845,273,600 arrangements of the stickers the moves reach (Schreier–Sims)÷ 24 turns of the whole puzzle= 2,009,078,326,886,400Tracks 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 120 reaches the original sticker identities12!·2¹² · 6!·4⁶ = 5,786,145,581,432,832,000 ways to put the pieces in: per type of piece, its pieces in any order and each in any orientation that looks different÷ 48,217,879,845,273,600 arrangements the moves reach = 120This uses distinct piece identities; the chance of reaching a visually solved state may be higher.
Moves