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.

Both my version and Gamer's (never knew of its existense before) are related to   Dudeney's "3 buns puzzle" in which the dimeNsions are hidden from the  solver and not provided exp;icitely- only from the drawing one can derive the ratio 3:4:5 .

 I've chosen pizza model to guide the solver towards dividing surfaces and not volumes.

 I PUBLISH AN ABRIDGED VERSION OF DUDENEY'S  ORIGINAL SOLUTION

Posted by Ady TZIDON on 2012-05-25 03:22:37