Puzzles of poly-forms are jigsaw puzzles with pieces that are created of the same basic elements, most often equal sided triangles, squares and hexagrams.
Regular puzzles of poly-forms exist of all unique combinations of the same number of such an element. De pieces can be gerotated and even put upside down, giving you the mirror image if it is asymmetric.

The 5 pieces of 4 squares (Tetrominos) are most famous, they are key parts in the original version of the computer game Tetris.

 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
Andrew Clarke's Poly Pages

 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

3D polyomino's
Examples of 3D-polyomino puzzles:
• 3D Pentomino The 12 pentomino pieces (of 5 cubes) - form a block of 3 x 4 x 5
• The Soma-cube - Irregular: 6 pieces of 4 cubes and one of 3 cubes form a 3x3x3 cube

 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