algorithm - How to find all combinations of multiple 2D arrays(matrix) , rotation allowed -


i have 3 2d arrays(matrix) 0 , 1-

for each array, rotate 4 times clock-wise , 4 times anti clock-wise , flip array , repeat above , each iteration repeat steps other array , on combine array build symmetry or kind of rubik's cube 5 elements each side. means if add 2 arrays , means 1 of array 1 must fit 0 of array 2. following kind of structure-

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following 3 arrays

 0 0 1 0 1  1 1 1 1 1  0 1 1 1 0  1 1 1 1 1  0 1 0 1 1 -------------  0 1 0 1 0  0 1 1 1 0  1 1 1 1 1  0 1 1 1 0  0 0 1 0 0 -------------  1 0 1 0 0  1 1 1 1 1  0 1 1 1 0  1 1 1 1 1  0 1 0 1 0 -------------

this problem evolved problem asked how solve 5 * 5 cube in efficient easy way.

consider rotate methods follows - rotateleft() rotateright() flipside()  (firstarray){   element = single.rotateleft();   for(secondarray){      element2 = single.rotateleft();     if(element.combine(element2){      for(thirdarray){       } }    } }

currently have fixed 3 arrays , how , efficiently must solve problem.


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