Cut a Pizza into 2 using one straight cut.
Stack the pieces and make a straight cut: you now have 22 = 4 pieces from 2 cuts.
Stack these and make a straight cut: you now have 23 = 8 pieces from 3 cuts.
Continue.
After 7 cuts you can have 27 = 128 pieces.
You can reduce the number of pieces to 29 if, after the fourth cut, you stack and cut only 11 pieces and thereafter cut just one each time. There are other options which give the same result.
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A pizza can be cut into eleven pieces with 4 straight cuts if an X is cut, then the rest of the pizza is cut starting from the right and working to the left in four straight lines.
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To cut a cube into 504 identical pieces, you would need to make 503 cuts. Each cut divides the cube into two pieces, so the first cut creates 2 pieces, the second cut creates 4 pieces, the third cut creates 8 pieces, and so on. Therefore, to reach 504 pieces, you would need to make 503 cuts.
If no cut intersects any previous cuts, then you can just slice it into 14 pieces.
Four diameter cuts, if none of them are the same, will always cut a pie into 8 pieces.