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Puzzles of Poly-forms

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

Name	#Triangles	#Pieces	Remarks
Diamond	2	1
Triamond	3	1
Tetriamond	4	3	No puzzle known
Pentiamond	5	4	No puzzle known
Hexiamond	6	12	more...
Septiamond	7	24	more...
Octiamond	8	?	One piece has an empty triangle enclosed

Pieces built of squares

Name	#Squares	#Pieces	Remarks
Domino	2	1
Tromino	3	2
Tetromino	4	5	double set...
Pentomino	5	12	more...
Hexomino	6	35	more...
Septomino	7	?	One piece has an empty square enclosed
Polyomino	Variabel	Variabel	Algemene benaming

irregular polyominos

Pieces built of hexagrams

Name	#Hexagrams	#Pieces	Remarks
Diahex?	2	1
Triahex?	3	3
Tetrahex	4	7	maybe?
Pentahex?	5	22	Beat the computer no. 22
Hexahex?	6	?	One piece has an empty hexagram enclosed

enlarge

examples of 3D-polyomino puzzles:
- The 12 pentomino pieces (of 5 cubes) - form a block of 3x4x5 or 2x5x6
- The Soma-cube - Irregular: 6 pieces of 4 cubes and one of 3 cubes form a 3x3x3 cube

Links:
Site of Kadon Enterprises
Jan Kok's page