**Multiple Replications**

Many sets of pieces can produce constructions based on the fact that a_{1}^{2}
+ a_{2}^{2 }+ a_{3}^{2 }+.... a_{n}^{2}
= n where n is the number of pieces in the set

The links below lead to various sections of the site where solutions to this problem may be found.

PolyominoesPolyiamondsOne-sided pentominoes One sided hexiamonds Hexominoes Heptiamonds One-sided hexominoes Heptominoes

PolycubesPolyaboloes

Polyares

Other PolyformsTridominoes One-sided tridominoes