mathematical beginnings logo new small.png Chocolate Cake

possible related topics angles, congruence, fractions, polygons, symmetry


A regular n-gon cake can certainly be sliced into n equal pieces, or into any factor of n. But the 6-gon cake in the picture can also easily be cut into quarters, and 4 is not a factor of 6. Learners could investigate which fractions are easy for which values of n.


Learners might try to make the slices with the minimum number of straight cuts.

Colin Foster 2012,