Four math students ordered three pizzas: one large (55 cm diameter), one medium (44 cm diameter) and one small (33 cm diameter).
Upon delivery they decided to divide it fairly between them by cutting the pizzas into the fewest number of pieces.
Ignoring the toppings and assuming uniformity of thickness please provide a solution with less than 6 pieces.
(In reply to re: Solution
by Ady TZIDON)
Dej Mar's solution looks valid (and elegant) to me.
I suppose you could consider my solution incomplete as I didn't provide a method of cutting the medium pizza, I just demonstrated that it was possible. I may have suggested they remove a sector of 7pi/16 radians by marking off 32 equal arcs along the edge. This avoids making a curved cut which is difficult with a pizza slicer.
Realistically delivered pizza comes pre-sliced. So each student just takes a quarter of each pizza.
Posted by Jer
on 2012-05-16 13:27:58