Editing Magic square (section)

===Other magic shapes===
Other two dimensional shapes than squares can be considered. The general case is to consider a design with ''N'' parts to be magic if the ''N'' parts are labeled with the numbers 1 through ''N'' and a number of identical sub-designs give the same sum. Examples include [[Magic circle (mathematics)|magic circle]]s, magic rectangles, [[Magic triangle (mathematics)|magic triangle]]s<ref name=Ely>Magic Designs, Robert B. Ely III, Journal of Recreational Mathematics volume 1 number 1, January 1968</ref> [[magic star]]s, [[magic hexagon]]s, magic diamonds. Going up in dimension results in magic spheres, magic cylinders, [[magic cube]]s, magic parallelepiped, magic solids, and other [[magic hypercube]]s.

Possible magic shapes are constrained by the number of equal-sized, equal-sum subsets of the chosen set of labels. For example, if one proposes to form a magic shape labeling the parts with {1, 2, 3, 4}, the sub-designs will have to be labeled with {1,4} and {2,3}.<ref name=Ely />