faceCycles = [...
    1 3 4 2
    5 6 8 7
    9 11 12 10
    13 15 16 14
    17 18 20 19
    21 23 24 22];
sideCycle1 = [...
    22 6 9 17
    21 14 11 1
    3 5 13 19
    24 8 11 19
    22 16 12 3
    14 20 4 6];
sideCycle2 = [...
    21 5 10 18
    23 13 9 2
    1 7 15 17
    23 7 12 20
    24 15 10 4
    16 18 2 8];

permMat = zeros(6,24);
myPerms = {};

for it=1:6
    permMat(it,:) = 1:24;
    curGen = permMat(it,:);
    curGen = addCycle2Img(faceCycles(it,:),curGen);
    curGen = addCycle2Img(sideCycle1(it,:),curGen);
    curGen = addCycle2Img(sideCycle2(it,:),curGen);
    permMat(it,:) =  curGen;
end

myPerms = {permMat(1,:), permMat(2,:), permMat(3,:), permMat(4,:),...
    permMat(5,:), permMat(6,:)};