Polyform Catalogues

    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

Plane Figures

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 Polypents. Enumerations and pictures of these neglected polyforms.
Catalogue of Polyhepts. Some more neglected polyforms.
Catalogue of Polyocts. Still more neglected polyforms.
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 Polypentagrams. Polyforms formed of pentagrams joined edge to edge.
Catalogue of Polyhings. Polyforms formed of regular hexagons joined edge to edge or at vertices in parallel.
Catalogue of Polypennies. Polyforms formed by joining equal disks tangentially.

Solid Figures

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

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Col. George Sicherman [ HOME | MAIL ]