Two-Pentomino Balanced Rectangles. Tile a rectangle with two pentominoes in equal quantities. | |

Two-Pentomino Holey Balanced Rectangles. Tile a rectangle with two pentominoes in equal quantities, allowing one-cell holes. | |

Scaled Two-Pentomino Rectangles. Tile a rectangle with two pentominoes at various sizes. | |

Scaled Two-Pentomino Balanced Rectangles. Tile a rectangle with various sizes of two pentominoes in equal areas. | |

Three-Pentomino Rectangles. Tile a rectangle with copies of three pentominoes. | |

Scaled Three-Pentomino Rectangles. Tile a rectangle with three pentominoes at various sizes. | |

Three-Pentomino Balanced Rectangles. Tile a rectangle with three pentominoes in equal quantities. | |

Three-Pentomino Holey Balanced Rectangles. Tile a rectangle with three pentominoes in equal quantities, allowing one-cell holes. | |

Scaled Three-Pentomino Balanced Rectangles. Tile a rectangle with various sizes of three pentominoes in equal areas. | |

Separated Pentominoes Tiling a Rectangle. Tile the largest possible rectangle with copies of three or four pentominoes, with no two copies of the same pentomino touching. | |

Prime Rectangle Tilings for the Y Pentomino. Irreducible rectangles formed of Y pentominoes. | |

Yin-Yang Dominoes. Arrange 10 of the 12 pentominoes to cover a bi-colored domino. | |

Hexomino Pair Rectangles. Arrange copies of two hexominoes to form a rectangle. | |

Scaled Hexomino Pair Rectangles. Arrange copies of two hexominoes at various scales to form a rectangle. | |

Prime Rectangles for Tetrakings.. For each tetraking, find the irreducible rectangles that it can tile. |

Tiling an L Shape with a Polyomino. Tile an L-shaped polyomino with copies of a given polyomino. | |

Tiling an L Shape with the 12 Pentominoes. Tile various L-shaped polyominoes with the 12 pentominoes. | |

Tiling an L Shape with a Tetromino and a Pentomino. Tile an L-shaped polyomino with copies of a given tetromino and pentomino. | |

L Shapes From Two Pentominoes. Form an L-shaped (hexagonal) polyomino with copies of two pentominoes, using at least one of each. | |

Holey L Shapes From Two Pentominoes. Form an L-shaped (hexagonal) polyomino with copies of two pentominoes, using at least one of each, and allowing one-celled holes that do not touch the perimeter or one another. | |

Scaled Two-Pentomino L Shapes. Form an L-shaped (hexagonal) polyomino with copies of two pentominoes, letting them be enlarged, using at least one of each. | |

L Shapes From Two Hexominoes. Form an L-shaped (hexagonal) polyomino with copies of two hexominoes, using at least one of each. | |

Tiling an L Shape with Three Pentominoes. Tile an L-shaped polyomino with copies of three given pentominoes. | |

Scaled Three-Pentomino L Shapes. Tile an L-shaped polyomino with copies of three given pentominoes at various sizes. |

Full Symmetry from the Twelve Pentominoes. | |

Tiling a Beveled Rectangle with Polyominoes. | |

Tiling Strips with Polyominoes. Tiling straight, bent, branched, and crossed infinite strips with polyominoes of orders 1 through 6. | |

Uniform Polyomino Stacks. Join copies of a polyomino to make a figure with uniform row width. | |

Perfect Polyominoes. Polyominoes that can be formed by joining all the smaller polyominoes that can tile them. | |

Polyomino Bireptiles. Join two copies of a polyomino, then dissect the result into equal smaller copies of it. | |

Covering a Rectangle with Copies of a Polyomino. Find the largest rectangles that copies of a polyomino can cover without overlapping. | |

A Pentomino Christmas Card. Pentomino art with an unexpected aftermath. |

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Col. George Sicherman [ HOME | MAIL ]