I have made this pattern several times. But instead of cutting everything, at once and then moving the pieces (which sounds very confusing to me) my directions say to make the first cut and move the first piece to the bottom. Then sew the pieces back together in the order they are in. (you can use the narrow black grouting or not--it is your choice.) Then restack the pieces and make the second cut and the second shuffle etc. I actually made a paper template with lines drawn for the various cuts. It is hard to cut thru so many layers and this way, I could cut half the stack at a time. I just had to be careful to keep them in the correct order in the stack.
My sister made one using animal fabrics and it looked amazing! I have used this pattern as an I spy for baby quilts too.