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

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 |

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 | 108 | One piece has an empty square enclosed |

Oktomino | 8 | 369 | Several pieces have an empty square enclosed |

Nonomino | 9 | 1285 | |

Polyomino | Variable | Variable | Common name |

irregular polyominos

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