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.

Pieces built of triangles

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

Pieces built of squares

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

Pieces built of hexagrams

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

Free Download
I've written a few solver programs in Delphi for Windows:

• Pentomino solver
• Hexomino solver
• Hexiamond solver

Links

Site van Kadon Enterprises
Andrew Clarke's Poly Pages