Originally posted by BigDoggProblem
So slice off 85% of the first pie and give it to person 1. (We'll come back to him later.)
The remaining 15% of pie 1 goes to person 2, along with 75% of pie 2, etc., giving:
Give the last guy's 5% to person 1, and cut the rest of the last guy's pie into 2 slices of any size to ...[text shortened]... le must have the same # of slices.
This is 2 slices per person. Can it be further optimized?!
Ah, I missed the bit about the same number of slices each.
Using your cunning recipe, couldn't each "slice" be a circular segment?
That gives 2 pieces per person with only 10 cuts. I don't think that can be bettered, as each pie needs a bit cut off, so that is at least 9 cuts, and if we give 9 people 90% with 1 cut, then we have taken 9 cuts (the minimum) but the last guy gets too many bits.