Multiple Replications
Many sets of pieces can produce constructions based on the fact that a12 + a22 + a32 +.... an2 = 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.
Polyominoes Polyiamonds One-sided pentominoes One sided hexiamonds Hexominoes Heptiamonds One-sided hexominoes Heptominoes
Polycubes Polyaboloes
Polyares
Other Polyforms Tridominoes One-sided tridominoes