Dino Cube simulator and solver

Info

Pieces

Type	Count	Stickers	Positions	Orientation (physical)	Orientation (visual)
2	12	2	12	1	1

One row per orbit. Orientation counts are per position; multiple values mean positions differ.

Stickers

Axes

48 cut planes across them

Solver

Available

Distinct-piece states

≈ 2.00 × 10⁷239,500,800 arrangements of the stickers the moves reach (Schreier–Sims)÷ 12 turns of the whole puzzle= 19,958,400Tracks 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 2 reaches the original sticker identities12!·1¹² = 479,001,600 ways to put the pieces in: per type of piece, its pieces in any order and each in any orientation that looks different÷ 239,500,800 arrangements the moves reach = 2This uses distinct piece identities; the chance of reaching a visually solved state may be higher.

Moves

Vertex turns

UFR

URB

DFR

DRB

Dino Cube beginner method

Build one three-edge triangle, insert the six neighboring edges, then align the opposite triangle.

The U–F reference edge fixes the hold. Corner names list the three faces meeting at that axis; every elementary corner turn is 120°. Grouped setups return to the reference hold.

First corner triangle

Solve the three edges meeting at the upper-front-right corner.

The U–F edge fixes the reference hold.
Place the U–R and F–R edges beside it, matching all three face colors.
Use short corner turns and restore the reference edges as each insertion finishes.

DBL turn

DBL

Turn a three-edge corner to place an edge of the reference triangle. Restore edges already placed.

Surrounding six edges

Place the six edges surrounding the solved triangle.

Find the edge for the next empty slot.
Open its corner, bring the edge in with the neighboring corner, then undo the opening turn.
Keep the first triangle and the surrounding edges already placed.

Before this phase: First corner triangle.

Insert an edge between adjacent corners

[DBL: DLF]

Open one corner, use its neighbor to bring in the required edge, and close the first corner. The reference triangle is preserved.

Opposite corner triangle

Align the last three edges around the diagonally opposite corner.

The remaining edges are at D–B–L.
One clockwise or counterclockwise turn finishes the puzzle; the other nine edges stay solved.

Before this phase: First corner triangle, Surrounding six edges.

DBL turn

DBL

Rotate the opposite three-edge triangle into alignment.

DBL reverse turn

DBL'

Rotate the opposite three-edge triangle into alignment.