7x7x7 simulator and solver

Play a virtual 7x7x7 in your browser, or enter the colors of your own 7x7x7 and get a solution.

Info

Pieces

Type	Count	Stickers	Positions	Orientation (physical)	Orientation (visual)
3	6	1	6	4	1
4	24	1	24	1	1
5	24	1	24	1	1
5	24	1	24	1	1
6	12	2	12	2	2
6	24	1	24	1	1
6	24	1	24	1	1
7	24	2	24	1	1
7	24	1	24	1	1
8	24	2	24	1	1
9	8	3	8	3	3

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

Stickers

294

Axes

318 cut planes across them

Solver

Available

Distinct-piece states

≈ 1.48 × 10²⁰⁸356,190,929,819,863,051,467,149,078,227,506,963,034,797,654,717,826,974,128,057,892,162,755,466,936,634,780,969,099,374,175,934,875,207,596,931,087,047,973,108,906,330,222,278,188,056,096,685,622,221,310,526,194,746,251,791,669,657,600,000,000,000,000,000,000,000,000,000,000,000 arrangements of the stickers the moves reach (Schreier–Sims)÷ 24 turns of the whole puzzle= 14,841,288,742,494,293,811,131,211,592,812,790,126,449,902,279,909,457,255,335,745,506,781,477,789,026,449,207,045,807,257,330,619,800,316,538,795,293,665,546,204,430,425,928,257,835,670,695,234,259,221,271,924,781,093,824,652,902,400,000,000,000,000,000,000,000,000,000,000,000Tracks individual sticker identities, even on identical-looking pieces; whole-puzzle rotations are identified. Invisible rotations of a piece and internal pieces are not counted.

Indistinguishable arrangements

48,708,493,958,471,199,415,506,599,153,950,129,703,565,945,470,9764! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! × 4! = 48,708,493,958,471,199,415,506,599,153,950,129,703,565,945,470,97636 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 = 48,708,493,958,471,199,415,506,599,153,950,129,703,565,945,470,976 × 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.

Put together at random

1 in 23,040 reaches the original sticker identities8!·3⁸ · 24!·1²⁴ · 24!·1²⁴ · 12!·2¹² · 24!·1²⁴ · 24!·1²⁴ · 24!·1²⁴ · 24!·1²⁴ · 24!·1²⁴ · 24!·1²⁴ · 6!·1⁶ = 8,206,639,023,049,644,705,803,114,762,361,760,428,321,737,964,698,733,483,910,453,835,429,885,958,220,065,353,528,049,581,013,539,524,783,033,292,245,585,300,429,201,848,321,289,452,812,467,636,735,978,994,523,526,953,641,280,068,911,104,000,000,000,000,000,000,000,000,000,000,000,000 ways to put the pieces in: per type of piece, its pieces in any order and each in any orientation that looks different÷ 356,190,929,819,863,051,467,149,078,227,506,963,034,797,654,717,826,974,128,057,892,162,755,466,936,634,780,969,099,374,175,934,875,207,596,931,087,047,973,108,906,330,222,278,188,056,096,685,622,221,310,526,194,746,251,791,669,657,600,000,000,000,000,000,000,000,000,000,000,000 arrangements the moves reach = 23,040This uses distinct piece identities; the chance of reaching a visually solved state may be higher.

Moves

(2L2 4L2 6L2) (2D2 4D2 6D2) (2B2 4B2 6B2)

U R2 F B R B2 R U2 L B2 R U' D' R2 F R' L B2 U2 F2

F L F U' R U F2 L2 U' L' B D' B' L2 U

U D' R L' F B' U D'