Polyamond  #Triangles  #Pieces  Remarks  Examples  
Diamond  2  1  Icosaeder 
Hexiamond 

triamond  3  1  
Tetriamond  4  3  
Pentiamond  5  4  You can create an Icosahedron  
Hexiamond  6  12  more...  
Septiamond  7  24  bekijk  
Octiamond  8  ?  One piece has enclosed an empty triangle 
Polyomino  #Squares  #Pieces  Remarks  Irregular polyominos 
Domino  2  1  
tromino  3  2  
Tetromino  4  5  double set pieces...  
Pentomino  5  12  more...  
Hexomino  6  35  bekijk  
Septomino  7  108  One piece has an empty square enclosed  
Octomino  8  369  Several pieces have an empty square enclosed  
Nonomino  9  1285 
Polyhex  #Hexagrams  #Pieces  Remarks  Example 
Diahex  2  1  Pentahex 

Triahex  3  3  
Tetrahex  4  7  maybe?  
Pentahex  5  22  Beat the computer no. 22  
Hexahex  6  ?  One piece has an empty hexagram enclosed 