It was a
strange collection, … but so much larger
and so much more varied
that I think I never had more pleasure than in sorting them.

—Robert Louis Stevenson,
*Treasure Island*

Catalogue of Unitary Polyominoes. A unitary polyomino is one whose edges all have length 1. | |

Catalogue of Almost Unitary Polyominoes. An almost unitary polyomino is one whose edges all but one have length 1. | |

Catalogue of Almost Almost Unitary Polyominoes. An almost almost unitary polyomino is one whose edges all but two have length 1. | |

Catalogue of Unitary Polyiamonds. A unitary polyiamond is one whose edges all have length 1. | |

Catalogue of Polymings. A polyming is a generalization of a polyiamond in which cells may be joined at corners as well as at edges. | |

Database of Convex Polyaboloes.
A tarballof all convex polyaboloes with up to 800 cells. | |

Catalogue of Blunt Polytans. A blunt polytan is one with no 45° corners. | |

Catalogue of Tetrakis Polyaboloes. A tetrakis polyabolo is one that conforms to the Tetrakis Grid. | |

Catalogue of Polyfetts. A polyfett is a generalized polyabolo whose cells may be joined at edges or at vertices. | |

Catalogue of Convex Polydrafters. | |

Catalogue of Didrifters. | |

Catalogue of Polykagomes. A polykagome is a polyform defined on the trihexagonal grid. | |

Catalogue of Polybirds. A polybird is a polyform defined on the rhombitrihexagonal grid. | |

Catalogue of Polyhops. Thomas Atkinson's hopscotch-style polyominoes. | |

Catalogue of Polyjogs. Polyforms formed of squares joined by half edges. | |

Catalogue of Polynars. László Molnár's shapes formed of squares joined by edges and half edges. | |

Catalogue of Polyhings. Polyforms formed of regular hexagons joined edge to edge or at vertices in parallel. |

Catalogue of Polypents. Enumerations and pictures of these neglected polyforms. | |

Catalogue of Cyclic Polypents. Polypents whose cells form a closed loop. | |

Figure Eight Polypent Loops. Generalized polypents that cross themselves to form a loop in the shape of a figure eight. | |

Unique Polypents With Full Symmetry and Minimum Perimeter. Polypents with full symmetry and the uniquely least possible perimeter for their area. | |

Unique Polypents With Star Symmetry and Minimum Perimeter. Polypents with star symmetry and the uniquely least possible perimeter for their area. | |

Catalogue of Polyhepts. Some more neglected polyforms. | |

Catalogue of Cyclic Polyhepts. Polyhepts whose cells form a closed loop. | |

Catalogue of Polyocts. Still more neglected polyforms. | |

Catalogue of Polyenns. Highly neglected polyforms. | |

Catalogue of Cyclic Polyenns. Polyenns whose cells form a closed loop. | |

Catalogue of Polypentagrams. Polyforms formed of pentagrams joined edge to edge. | |

Catalogue of Polypennies. Polyforms formed by joining equal disks tangentially. |

Catalogue of Unitary Polycubes. Polycubes whose faces are all monominoes. | |

Catalogue of Besźel Polycubes. Polycubes whose cells have a preponderance of even coordinates. | |

Catalogue of Polyrhons. Polyforms formed by joining rhombic dodecahedrons. | |

Catalogue of Polyprisms. Polyforms formed by joining equilateral-triangular prisms. | |

Catalogue of Polytets. Polyforms formed by joining platonic tetrahedra face to face. | |

Catalogue of Polypents on the Surface of a Dodecahedron. | |

Pentacube Nomenclature. Various systems for naming the 29 pentacubes. | |

Polycube Symmetries. In how many ways can a polycube be symmetrical? | |

Polyprism Symmetries. In how many ways can a polyprism be symmetrical? | |

Catalogue of Polykedges. A polykedge is a polyform formed by joining equal cubes at faces or edges or both. | |

Catalogue of Polyominoids. A polyominoid is a polyform formed by joining square cells in the polycube grid. |

Back to Polyform Curiosities.

Col. George Sicherman [ HOME | MAIL ]