dukuso wrote:the grids (solved puzzles) are isomorphic (?)

not the puzzles

when you know that, you may build that into your solver ...

coloin wrote:In particular I wondered how many ED ways to fill in the cube in the middle .. cant be many .. and then i wondered how many ways to fill in all 27 solution grids ...

I struggled to complete a box .... but employing the MC grid i was able to construce ONE

Here are the 6 faces - ready to be folded into a 3*3 cube !

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` +---+ `

|978|

|564|

|123|

+---+---+---+---+

|879|951|123|348|

|213|384|456|672|

|546|627|789|915|

+---+---+---+---+

|789|

|231|

|645|

+---+

The inside clue in loci {2,2,2] is 9

is this the only way to make a cube i wonder if it really is !

Except in

K Pres 's puzzle all the solution grids are essenstially the same [? MC grid]

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`256137894489625713371948562137894256625713489948562371894256137713489625562371948`

894256137713489625562371948256137894489625713371948562137894256625713489948562371

137894256625713489948562371894256137713489625562371948256137894489625713371948562

562371948894256137713489625371948562256137894489625713948562371137894256625713489

948562371137894256625713489562371948894256137713489625371948562256137894489625713

371948562256137894489625713948562371137894256625713489562371948894256137713489625

713689425542371968896254137689425713371968542254137896425713689968542371137896254

425713689968542371137896254713689425542371968896254137689425713371968542254137896

689425713371968542254137896425713689968542371137896254713689425542371968896254137

689425713425713689713689425371948562948562371562371948137894256894256137256137894

371968542968542371542371968256137894137894256894256137625713489713489625489625713

254137896137896254896254137489625713625713489713489625948562371562371948371948562

425713689713689425689425713948562371562371948371948562894256137256137894137894256

968542371542371968371968542137894256894256137256137894713489625489625713625713489

137896254896254137254137896625713489713489625489625713562371948371948562948562371

713689425689425713425713689562371948371948562948562371256137894137894256894256137

542371968371968542968542371894256137256137894137894256489625713625713489713489625

896254137254137896137896254713489625489625713625713489371948562948562371562371948

647395182395218674218467953476953821953182746182674539764539218539821467821746395

821746395764539218539821467218467953647395182395218674182674539476953821953182746

953182746182674539476953821539821467821746395764539218395218674218467953647395182

476953821953182746182674539764539218539821467821746395647395182395218674218467953

218467953647395182395218674182674539476953821953182746821746395764539218539821467

539821467821746395764539218395218674218467953647395182953182746182674539476953821

764539218539821467821746395647395182395218674218467953476953821953182746182674539

182674539476953821953182746821746395764539218539821467218467953647395182395218674

395218674218467953647395182953182746182674539476953821539821467821746395764539218

So maybe

dukuso knew this all along !!!!! And that there really is only one 3D Sudoku Cube !!!!

EDIT

as ever not quite !

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`grid solution 1-9`

123456789456789123789123456231564897564897231897231564312645978645978312978312645 - MC Grid

grid solution 10-18 | | | | | |

123456789456789123789123456231564897564897231897231564312648975648975312975312648 - AN OTHER repeating minirow grid - differing only in 6 5<->8 transfers

grid solution 19-27

123456789456789123789123456231564897564897231897231564312648975648975312975312648

EDIT the grids and their bands

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`123456789456789123789123456231564897564897231897231564312645978645978312978312645 1 1 1 , 1 1 1`

123456789456789123789123456231564897564897231897231564312648975648975312975312648 1 1 1 , 2 2 2

123456789456789123789123456231564897564897231897231564312648975648975312975312648 1 1 1 , 2 2 2

hmmmm