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