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This is impossible for any convex shape, so one will need to exploit the non-convexity of a bagel. The first cut needs to be such that two u-shapes are left. This is achieved best if the cutting plane is tilted with respect to the planes of symmetry of the bagel. Now, stack the two u-shapes and cut them both into three pieces using 1 cut, cutting of the 'legs' of the u's. Now we have 6 pieces and 1 cut to go, so stack all the pieces and cut right through to give 12 pieces in three cuts.

Q: How can you cut a bagel into 12 pieces with 3 straight cuts?

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A Knife

1) One vertical cut in half.2) A second vertical cut at 90 degrees to the previous one. You should now have 4 equal pieces.3) Make a cut parallel to the table, halfway through the cake. Like you are slicing a bagel in half or a subway sandwich. Should now have 8 equal pieces.4) Eat one piece!

3 right to left and 1 time down the middle towards you

the normal amount would be 17

As no constraints on the shape or regularity of the resulting pieces are made, making a three by tree line grid on the pie surface would result in 16 separate pieces. Cutting the pie into regular wedges with 6 straight cuts passing through the center would result in 12 pieces.

Related questions

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.

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.

A Knife

Eight. Use the first two cuts to cut the pie into four pieces, then use the third cut to slice the top from the bottom, doubling the number of pieces to 8.

1) One vertical cut in half.2) A second vertical cut at 90 degrees to the previous one. You should now have 4 equal pieces.3) Make a cut parallel to the table, halfway through the cake. Like you are slicing a bagel in half or a subway sandwich. Should now have 8 equal pieces.4) Eat one piece!

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3 right to left and 1 time down the middle towards you

If no cut intersects any previous cuts, then you can just slice it into 14 pieces.

the normal amount would be 17

21 cuts required to cut a cube into 504 identical pieces.

As no constraints on the shape or regularity of the resulting pieces are made, making a three by tree line grid on the pie surface would result in 16 separate pieces. Cutting the pie into regular wedges with 6 straight cuts passing through the center would result in 12 pieces.

cut an "X" on the top of the cake,like you normally would,then cut the cake straight the the middle of the cake if you wer looking at it so its horizantal,and you're like on your knees.....so your basically cutting 4 pieces in a 2 layer cake