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Polyform Curiosities

• Remembrance of Software Past
  • Pento-tro-dominoes
  • Pento-Tetro-Trominoes
  • Tetrominoes Challenge
  • Triple Pentominoes
  • Pentomino Odd Pairs
• Polyform Exclusion, Equalization, and Variegation
  • Hexomino Exclusion
  • Polyking Exclusion
  • Polyiamond Exclusion
  • Polyhex Exclusion
  • Polycairo Exclusion
  • Polyabolo Magic Squares
  • Polyiamond Variegation
  • Polyhex Variegation
• Polyform Tiling
  • Two-Pentomino Balanced Rectangles
  • Two-Pentomino Holey Balanced Rectangles
  • Scaled Two-Pentomino Rectangles
  • Scaled Two-Pentomino Balanced Rectangles
  • Scaled Three-Pentomino Rectangles
  • Three-Pentomino Balanced Rectangles
  • Scaled Three-Pentomino Balanced Rectangles
  • L Shapes from Two Pentominoes
  • Prime Rectangle Tilings of the Y Pentomino
  • Tiling a Beveled Rectangle with a Polyomino
  • Yin-Yang Dominoes
  • Tiling Strips With Polyominoes
  • Uniform Polyomino Stacks
  • Perfect Polyominoes
    • Admissible Partitions for Perfect Polyominoes
  • Polyomino Bireptiles
  • Covering a Rectangle with Copies of a Polyomino
  • Prime Rectangles for Tetrakings
  • Two-Hexiamond Balanced Hexagons
  • Polyiamond Hexagon Tiling
  • Hexiamond Triplets
  • Yin-Yang Diamonds
  • Tiling a Polyhex with the 12 Hexiamonds
  • Similar Hexiamond Figures 2–2–8
  • Minimal Convex Polyiamond Tilings
  • Convex Polyagons From Pairs of Polyiamonds
  • Convex Shapes from Three Hexiamonds
  • Polyiamond Bireptiles
  • Containing Pairs of Hexiamonds
  • Tiling a Shape with Ternary Symmetry
  • The Lobster and the Snake: Four Puzzles
    • The Lobster and the Snake: Solutions
  • Polyabolo Irreptiles
  • Similar Polyaboloes Tiling a Triangle
  • Similar Polyaboloes Tiling a Square
  • Similar Polyaboloes Tiling a Right Trapezoidal Triabolo
  • Similar Polyaboloes Tiling an Octagon
  • Similar Polyaboloes Tiling a Home Plate Hexabolo
  • Similar Polyaboloes Tiling a Crown Heptabolo
  • Similar Polyaboloes Forming a Convex Shape
  • Convex Polyagons From Pairs of Polytans
  • Polytan Bireptiles
  • Scaled Polytan Tetrads
  • Similar Pentatan Figures 2–2√2–3√2
  • Tiling a Polytan With Unequal Monotans
  • Polyfett Irreptiles
  • Similar Polyfetts Tiling a Triangle
  • Similar Polyfetts Tiling a Square
  • Polydrafter Irreptiling
  • Polydrafter Bireptiles
  • The Didrafter Fish
  • Scaled Polydrafter Tetrads
  • Convex Figures with Didrafter Pairs
  • Convex Figures with Didrafter Triplets
  • Convex Shapes from the 13 Didrafters
  • Rectangles Tiled with Three Didrafters
  • Regular Hexagons Tiled with Three Didrafters
  • Making a Rectangle from Different Didrafters
  • Didrafters at Scales 1 and 5
  • Convex Figures with Tridrafter Pairs
  • Galaxies from the 14 Tridrafters
  • Stelo
  • Kiteless Didoms
  • Scaled Polydom Tetrads
  • A Counterexample to Livio Zucca's Island Conjecture
  • Convex Figures with Didom Pairs
  • Convex Figures with Didom Triplets
  • Convex Shapes from the 13 Didoms
  • Tiling the Owen Dodecagon With Three Didoms
  • Contiguous Partridge Tilings
  • Contiguous Reverse Partridge Tilings
  • Lovebirds Tilings
  • Pentacubes in a Box
  • Pentacubes in a Box Without Corners
  • Polycube Reptiles
  • Polycube Bireptiles
    • Bireptiles
  • Proper Minimal Irreptilings for Polycubes
  • 3³ + 4³ + 5³ = 6³
  • Tiling a Solid Diamond Polycube With Right Tricubes
  • Symmetric Pentacube Triples
  • Polycube Prisms
  • Pentacube Pair Pyramids
  • Filling Space with the Pansymmetric Heptacube
  • Tiling a Scaled Pentacube with a Pentacube
• Polyform Tetrads
  • Polyomino and Polynar Tetrads
  • Polyiamond Tetrads
  • Polyhex Tetrads
  • Polydrafter Tetrads
• Polyform Compatibility
  • Pairwise Compatibility
    • Pentomino Compatibility
    • Holeless Pentomino Odd Pairs
    • Pentomino Pair-Single Compatibility
    • Holeless Hexomino Compatibility
    • Tetromino-Pentomino Compatibility
    • Holeless Tetromino-Hexomino Compatibility
    • Holeless Pentomino-Hexomino Compatibility
    • 2×3 Hexomino Compatibility
    • Holey Heptomino Compatibility
    • H Heptomino Compatibility
    • Voided Square Octomino Compatibility
    • Pinwheel Octomino Compatibility
    • Square Enneomino Compatibility
    • A Euphoric Heptomino
    • Two Euphoric Octominoes
    • Minimal Incompatibility for Polyominoes
    • Addendum to Polypolyominoes
    • Pentiamond Compatibility
    • Hexiamond Compatibility
    • Heptiamond Compatibility
    • Mixed Polyiamond Compatibility
    • Triangular Enneiamond Compatibility
    • Minimal Incompatibility for Polyiamonds
    • Pentahex Compatibility
    • Pentahex Odd Pairs
    • Seven Euphoric Pentahexes
    • Three Euphoric Hexahexes
    • Ring Hexahex Compatibility
    • Disk Heptahex Compatibility
    • Minimal Incompatibility for Polyhexes
    • Pentapent Compatibility
    • Tetrabolo Compatibility
    • Pentabolo Compatibility
    • Pentabolo Odd Pairs
    • Diabolo-Tetrabolo Compatibility
    • Triabolo-Tetrabolo Compatibility
    • Tetrabolo-Pentabolo Compatibility
    • Tetrahop Compatibility
    • Didrafter Compatibility
    • Tetrakite Compatibility
    • Trigem Compatibility
    • Trihing Compatibility
    • Pentapenny Compatibility
    • Tetracube Compatibility
    • Pentacube Compatibility
    • Flat Hexacube Compatibility
    • Triominoid Compatibility
  • Multiple Compatibility
    • Holeless Triple Pentominoes
    • Pentomino Odd Triples
    • Pento-Tetro-Tetrominoes
    • Pento-Pento-Trominoes
    • Pento-Pento-Tetrominoes
    • Quadruple Pentominoes
    • Multiple Compatibility for Polyominoes
    • Triple Hexiamonds
    • Multiple Compatibility for Polyiamonds
    • Zucca's Challenge Problem for Polyiamonds
    • Multiple Compatibility for Polyhexes
    • Zucca's Challenge Problem for Tetrahexes
    • Zucca's Challenge Problem for Extrominoes
  • Cell Shifting
    • Cell Shifts for Polyominoes
    • Cell Shifts for Pentomino Pairs
    • Tetromino-Pentomino Cell Shifts
    • Cell Shifts for Pentahex Pairs
    • Cell Shifts for Polyhexes
    • Cell Shifts for Hexahexes
    • Cell Shifts for Heptominoes
    • Cell Shifts for Polynars
    • Cell Shifts for Polyiamonds
    • Knight's-Move Cell Shifts for Polyominoes
    • Cell Shifts for Octiamonds
• Galvagni Figures
  • Galvagni Figures & Reid Figures for Pentominoes
  • Galvagni Figures & Reid Figures for Octominoes
  • Galvagni Figures & Reid Figures for Hexominoes
  • Holeless Plover Figures for Polyominoes
  • Galvagni Figures & Reid Figures for Heptominoes
  • Galvagni Figures for Rotary Polyominoes
  • Galvagni Figures & Reid Figures for Heptiamonds
  • Galvagni Figures and Reid Figures for Enneiamonds
  • Galvagni Figures & Reid Figures for Octiamonds
  • Galvagni Figures and Reid Figures for Dekiamonds
  • Galvagni Figures for Rotary Polyiamonds
  • Plover Figures for Polyiamonds
  • Galvagni Figures & Reid Figures for Pentahexes
  • Galvagni Figures & Reid Figures for Heptahexes
  • Galvagni Figures & Reid Figures for Hexahexes
  • Galvagni Figures for Rotary Polyhexes
  • Plover Figures for Polyhexes
  • Galvagni Figures for Polypents
  • Galvagni Figures for Polyhepts
  • Galvagni Figures for Polyocts
  • Galvagni Figures for Polyhops
  • Galvagni Figures for Polyenns
  • Galvagni Figures for Polyjogs
  • Galvagni Figures for Polydecs
  • Galvagni Figures for Polypentagrams
  • Galvagni Figures for Polymings
  • Galvagni Figures for Polylines
  • Galvagni Figures for Polykites
  • Galvagni Figures & Reid Figures for Polycairos
  • Galvagni Figures for Polyaboloes
  • Galvagni Figures for Polyhings
  • Galvagni Figures for Didrafters
  • Galvagni Figures for Polydodecs
  • Galvagni Figures for Trifetts
  • Galvagni Figures & Plover Figures for Pentacubes
  • Galvagni Figures for Hexacubes
  • Galvagni Figures for Heptacubes
  • Galvagni Figures and Plover Figures for Tetrominoids
  • Galvagni Figures for Polyprisms
  • Galvagni Figures for Tetrarhons
• Baiocchi Figures
  • Baiocchi Figures for Polyiamonds
  • Baiocchi Figures for Polymars
  • Baiocchi Figures for Polyominoes
  • Baiocchi Figures for Polynars
  • Baiocchi Figures for Polypents
  • Baiocchi Figures for Polydodecs
  • Baiocchi Figures for Polyhexes
  • Baiocchi Figures for Polyaboloes
  • Baiocchi Figures for Polydrafters
  • Baiocchi Figures for Polykites
  • Baiocchi Figures for Polyocts
  • Baiocchi Figures for Polycubes
  • Baiocchi Figures for Besźel Polycubes
  • Baiocchi Figures for Polyominoids
• Polyform Oddities
  • Polyomino Oddities
  • Pentomino Oddities
  • One-Sided Pentomino Oddities
  • Pentomino Pair Oddities
  • Tetromino-Pentomino Oddities
  • Hexomino Oddities
  • Polyomino Semi-Oddities
  • Heptomino Oddities
  • Triking Oddities
  • Pentaking Oddities
  • Pentiamond, Heptiamond, and Enneiamond Oddities
  • Hexiamond Oddities
  • Hexiamond Pair Oddities
  • Pentiamond-Hexiamond Oddities
  • Octiamond Oddities
  • Polyiamond Tri-Oddities
  • Heptiamond Tri-Oddities
  • Tetraming Oddities
  • Polyhex Oddities
  • Pentahex Pair Oddities
  • Tetrahex-Pentahex Oddities
  • Hexahex Oddities
  • Polyhex Tri-Oddities
  • Hexahex Tri-Oddities
  • Tetrapent Oddities
  • Pentapent Oddities
  • Tetrahept Oddities
  • Pentahept Oddities
  • Polyoct Oddities
  • Pentenn Oddities
  • Polydec Oddities
  • Tetrahendec Oddities
  • Polydodec Oddities
  • Polyabolo Oddities
  • Polycairo Oddities
  • Polykite Oddities
  • Polygem Oddities
  • Polyhing Oddities
  • Pentacube Oddities
  • Pentacube Pair Oddities
• Polyform Catalogues
  • Catalogue of Unitary Polyominoes
  • Catalogue of Almost Unitary Polyominoes
  • Catalogue of Almost Almost Unitary Polyominoes
  • Catalogue of Unitary Polyiamonds
  • Catalogue of Polymings
  • Catalogue of Blunt Polytans
  • Catalogue of Tetrakis Polyaboloes
  • Catalogue of Polyfetts
  • Catalogue of Polypents
  • Catalogue of Polyhepts
  • Catalogue of Polyocts
  • Catalogue of Polyhops
  • Catalogue of Polyjogs
  • Catalogue of Polynars
  • Catalogue of Polypentagrams
  • Catalogue of Polyhings
  • Catalogue of Polypennies
  • Catalogue of Besźel Polycubes
  • Catalogue of Polyrhons
  • Catalogue of Polyprisms
  • Catalogue of Polytets
  • Catalogue of Polypents on the Surface of a Dodecahedron
  • Polycube Symmetries
  • Polyprism Symmetries
  • Catalogue of Polykedges
• Printable Grid Files
• Polyform Wallpaper
  • Tetromino Wallpaper
  • Pentiamond Wallpaper
  • Tetrahex Wallpaper
  • Dragomino Wallpaper
• Polyform Links