Site Map

Polyform Curiosities

• Remembrance of Software Past
  • Pento-tro-dominoes
  • Pento-Tetro-Trominoes
  • Tetrominoes Challenge
  • Triple Pentominoes
  • Pentomino Odd Pairs
• Polyform Exclusion, Equalization, Variegation, and Integration
  • Hexomino Exclusion
  • Polyking Exclusion
  • Polyiamond Exclusion
  • Polyhex Exclusion
  • Polycairo Exclusion
  • Connected Polyomino Magic Squares
  • Two-Pentomino Magic Squares
  • Polyabolo Magic Squares
  • Polyiamond Variegation
  • Polyhex Variegation
  • Polyking Integration
• Polyform Tiling
  • Polyomino and Polyking Tiling
    • Polyomino Rectification with Holes
    • Two-Pentomino Balanced Rectangles
    • Two-Pentomino Holey Balanced Rectangles
    • Scaled Two-Pentomino Rectangles
    • Scaled Two-Pentomino Balanced Rectangles
    • Three-Pentomino REctangles
    • Scaled Three-Pentomino Rectangles
    • Three-Pentomino Balanced Rectangles
    • Three-Pentomino Holey Balanced Rectangles
    • Scaled Three-Pentomino Balanced Rectangles
    • Separated Pentominoes Tiling a Rectangle
    • Prime Rectangle Tilings of the Y Pentomino
    • Yin-Yang Dominoes
    • Hexomino Pair Rectangles
    • Scaled Hexomino Pair Rectangles
    • Prime Rectangles for Tetrakings
    • Tiling an L Shape with a Polyomino
    • Tiling an L Shape with the 12 Pentominoes
    • Tiling an L Shape with a Tetromino and a Pentomino
    • L Shapes from Two Pentominoes
    • Holey L Shapes from Two Pentominoes
    • Scaled Two-Pentomino L Shapes
    • L Shapes from Two Hexominoes
    • L Shapes from Three Pentominoes
    • Scaled Three-Pentomino L Shapes
    • Two-Pentomino Square Frames
    • Three-Pentomino Square Frames
    • Tiling Right Trapezoidal Polyominoes with Two Pentominoes
    • Tiling Right Trapezoidal Polyominoes with Three Pentominoes
    • Tiling a Blunt Pyramid with Two Polyominoes
    • Full Symmetry from the Twelve Pentominoes
    • Tiling a Beveled Rectangle with a Polyomino
    • Tiling Strips With Polyominoes
    • Uniform Polyomino Stacks
    • Perfect Polyominoes
      • Admissible Partitions for Perfect Polyominoes
    • Polyomino Bireptiles
    • Covering a Rectangle with Copies of a Polyomino
    • A Pentomino Christmas Card
  • Polyiamond and Polyming Tiling
    • Tiling a Triangle with a Polyiamond
    • Tiling a Triangle with a Scaled Polyiamond
    • Two-Hexiamond Balanced Hexagons
    • Two-Hexiamond Balanced Parallelograms
    • Polyiamond Hexagon Tiling
    • Full Symmetry from Pairs of Hexiamonds
    • Hexiamond Triplets
    • Yin-Yang Diamonds
    • Tiling a Polyhex with the 12 Hexiamonds
    • Similar Hexiamond Figures 2–2–8
    • Minimal Convex Polyiamond Tilings
    • Convex Polygons From Pairs of Polyiamonds
    • Convex Polygons From Pairs of Scaled Polyiamonds
    • Polyiamond Convexification with Holes
    • Convex Polyagons from the 12 Hexiamonds
    • Convex Shapes from Three Hexiamonds
    • Similar Polyiamonds Forming a Convex Shape
    • Polyiamond Bireptiles
      • Bireptiles at Scale 5 for the J Pentiamond
    • Uniform Polyiamond Stacks
    • Containing Pairs of Hexiamonds
    • Polyiamond Irreptiling
    • Scaled Polyiamond Tetrads
    • Convexification Numbers for Polyiamonds
    • Tiling a Shape with Ternary Symmetry
    • The Lobster and the Snake: Four Puzzles
      • The Lobster and the Snake: Solutions
        • The Lobster and the Snake: Solutions to Harder Challenges
    • Tiling a Convex Shape with a Polyming
  • Polyabolo and Polyfett Tiling
    • 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
    • Tiling a Chamfered Rectangle with a Polyabolo
    • Tiling a Chamfered Rectangle with Two Tetraboloes
    • Tiling a Chamfered Rectangle with Two Pentaboloes
    • Tiling a Chamfered Rectangle with Three Pentaboloes
    • 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
    • Strong Surround Numbers for Polyaboloes
    • Rectification Numbers for Polyaboloes
    • Oblique Rectification Numbers for Polyaboloes
    • Polyfett Irreptiles
    • Similar Polyfetts Tiling a Triangle
    • Similar Polyfetts Tiling a Square
  • Polydrafter Tiling
    • 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
    • Inflated Didrafters
    • Convex Figures with Tridrafter Pairs
    • Galaxies from the 14 Tridrafters
    • Stelo
  • Polycube Tiling
    • Pentacubes in a Box
    • Pentacubes in a Box Without Corners
    • Pentacubes in a Box With Four Edges Removed
    • Pentacubes in a Box With All Edges Removed
    • Pentacube Pair Boxes
    • Pentacube Pair Odd Boxes
    • Polycube Prisms
    • Tiling L Shapes with a Pentacube
    • L Shapes from Pentacube Pairs
    • L Shapes from the 29 Pentacubes
    • Polycube Reptiles
    • Polycube Bireptiles
      • Bireptiles
    • Proper Minimal Irreptilings for Polycubes
    • Prime Boxes for the Clip Pentakedge
    • 3 Cubed + 4 Cubed + 5 Cubed = 6 Cubed
    • Tiling a Solid Diamond Polycube With Right Tricubes
    • Symmetric Pentacube Triples
    • Pentacube Pair Pyramids
    • Filling Space with the Pansymmetric Heptacube
    • Tiling a Scaled Pentacube with a Pentacube
    • Prisms with Square-Symmetric Bases from the 29 Pentacubes
    • Twisted Polycube Rings
    • Entangled Polycubes
  • Kiteless Didoms
  • Scaled Polydom Tetrads
  • Polydom Irreptiling
  • Didom Kites and Bricks
  • A Counterexample to Livio Zucca's Island Conjecture
  • Convex Figures with Didom Pairs
  • Convex Figures with Didom Triplets
  • Convex Shapes from the 13 Didoms
  • Inflated Didoms
  • Tiling the Owen Dodecagon With Three Didoms
  • Strong Surround Numbers for Polycairos
  • Strong Surround Numbers for Polykites
  • Contiguous Partridge Tilings
  • Contiguous Reverse Partridge Tilings
  • Lovebirds Tilings
• Polyform Tetrads
  • Polyomino and Polynar Tetrads
    • Scaled Polyomino 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
    • Hexagon Hexiamond Compatibility
    • Triangular Enneiamond Compatibility
    • Minimal Incompatibility for Polyiamonds
    • Pentahex Compatibility
      • Pentahex Compatibility with Vertical Symmetry
    • Pentahex Odd Pairs
    • Mixed Polyhex Compatibility
      • Trihex-Tetrahex Compatibility
      • Trihex-Pentahex Compatibility
      • Trihex-Hexahex Compatibility
      • Tetrahex-Pentahex Compatibility
    • Seven Euphoric Pentahexes
    • Three Euphoric Hexahexes
    • Ring Hexahex Compatibility
    • Disk Heptahex Compatibility
    • Minimal Incompatibility for Polyhexes
    • Tripent-Tetrapent Compatibility
    • Tripent-Pentapent Compatibility
    • Tetrapent-Pentapent Compatibility
    • 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
    • Tetracairo Compatibility
    • Pentapenny Compatibility
    • Tetracube Compatibility
    • Pentacube Compatibility
    • Pentacube Odd Pairs
    • 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
    • Multiple Compatibility for Polypents
    • Multiple Compatibility for Pentacubes
  • 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
    • Cell Shifts for Pentacubes
• 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 & Reid Figures for Polybirds
  • Galvagni Figures for Polykagomes
  • Galvagni Figures for Polygems
  • 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 Polyominoes
  • Baiocchi Figures for Pentomino Pairs
  • Baiocchi Figures for Tetromino-Pentomino Pairs
  • Baiocchi Figures for Hexomino Pairs
  • Baiocchi Figures for Polyiamonds
  • Baiocchi Figures for Polymars
  • Baiocchi Figures for Polypentagrams
  • Baiocchi Figures for Polynars
  • Baiocchi Figures for Polypents
  • Baiocchi Figures for Polydodecs
  • Baiocchi Figures for Pentapent Pairs
  • Baiocchi Figures for Polyhepts
  • Baiocchi Figures for Polyhexes
  • Baiocchi Figures for Polyaboloes
  • Baiocchi Figures for Polydrafters
  • Baiocchi Figures for Polykites
  • Baiocchi Figures for Polyocts
  • Baiocchi Figures for Polygems
  • Baiocchi Figures for Polybirds
  • Baiocchi Figures for Polykagomes
  • Baiocchi Figures for Polycubes
  • Baiocchi Figures for Polyominoids
  • Baiocchi Figures for Besźel Polycubes
• 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
  • Hexiamond Pair Tri-Oddities
  • Heptiamond Tri-Oddities
  • Tetraming Oddities
  • Polyhex Oddities
  • Pentahex Pair Oddities
    • Chronology of Pentahex Pair Oddities
  • The Magic Pentahex Pair Polyhex Oddity
  • Tetrahex-Pentahex Oddities
    • Chronology of Tetrahex-Pentahex Oddities
  • Trihex-Pentahex Oddities
  • Hexahex Oddities
  • Polyhex Tri-Oddities
  • Hexahex Tri-Oddities
  • Tetrapent Oddities
  • Tetrapent Pair Oddities
  • Tetrapent Triplet Oddities
  • Pentapent Oddities
  • Tetrahept Oddities
  • Pentahept Oddities
  • Polyoct Oddities
  • Pentenn Oddities
  • Polydec Oddities
  • Tetrahendec Oddities
  • Polydodec Oddities
  • Polyabolo Oddities
  • Diabolo-Triabolo Pair Oddities
  • Triabolo-Tetrabolo Pair Oddities
  • Diabolo-Pentabolo Pair Oddities
  • Polycairo Oddities
  • Polykite Oddities
  • Trikite-Tetrakite Pair Oddities
  • Polygem Oddities
  • Trigem Pair Oddities
  • Polyhing Oddities
  • Polykagome Oddities
  • Polybird Oddities
  • Minimal Oddities for the L Tricube
  • Pentacube Oddities with Full Symmetry
  • Pentacube Oddities with Orthogonal Mirror Symmetry
  • Pentacube Oddities with Diagonal Mirror Symmetry
  • Pentacube Oddities with Orthogonal Rotary Symmetry
  • Pentacube Oddities with Plane Diagonal Rotary Symmetry
  • Pentacube Oddities with Inverse Symmetry
  • Pentacube Oddities with 4-Rotary Symmetry
  • Pentacube Oddities with Dual Orthogonal Symmetry
  • Pentacube Oddities with Dual Diagonal Symmetry
  • Pentacube Oddities with Square Symmetry
  • Pentacube Oddities with Square Box Symmetry
  • Pentacube Pair Oddities
  • Tetracube-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
  • Database of Convex Polyaboloes
  • Catalogue of Blunt Polytans
  • Catalogue of Tetrakis Polyaboloes
  • Catalogue of Polyfetts
  • Catalogue of Convex Polydrafters
  • Catalogue of Polykagomes
  • Catalogue of Polybirds
  • Catalogue of Polyhops
  • Catalogue of Polyjogs
  • Catalogue of Polynars
  • Catalogue of Polyhings
  • Catalogue of Polypents
  • Catalogue of Cyclic Polypents
  • Figure Eight Polypent Loops
  • Unique Polypents with Full Symmetry and Minimum Perimeter
  • Unique Polypents with Star Symmetry and Minimum Perimeter
  • Catalogue of Polyhepts
  • Catalogue of Cyclic Polyhepts
  • Catalogue of Polyocts
  • Catalogue of Polyenns
  • Catalogue of Cyclic Polyenns
  • Catalogue of Polypentagrams
  • Catalogue of Polypennies
  • Catalogue of Unitary Polycubes
  • Catalogue of Besźel Polycubes
  • Catalogue of Polyrhons
  • Catalogue of Polyprisms
  • Catalogue of Polytets
  • Catalogue of Polypents on the Surface of a Dodecahedron
  • Pentacube Nomenclature
  • Polycube Symmetries
  • Polyprism Symmetries
  • Catalogue of Polykedges
  • Catalogue of Polyominoids
• Printable Grid Files
• Polyform Wallpaper
  • Tetromino Wallpaper
  • Pentiamond Wallpaper
  • Tetrahex Wallpaper
  • Dragomino Wallpaper
• Polyform Links