Colors | One-sided Pieces | Two-sided Pieces | ||
---|---|---|---|---|

Number | Examples | Number | Examples | |

3 | 24 | 6x4 rectangle | 21 | |

4 | 70 | 10x7 rectangle, 14x7 rectangle | 55 | 5x11 rectangle |

5 | 165 | 15x11, 33x5 rectangles, notched square | 120 | 12x10 rectangle |

6 | 336 | 21x16, 48x7 rectangles | 231 | 21x11, 7x33 rectangles |

7 | 616 | 44x14 rectangle | 406 | 29x14 rectangle |

8 | 1044 | 36x29 rectangle, square ring 38x38-20x20 | 666 | Two 37x9 rectangles |

For the green marked entries I produced physical pieces and additional constructions are shown.

3 colors, 24 one-sided pieces:

If yellow and green should match, the puzzle is also solvable. In this case it's equivalent to a puzzle with three different edge types (red=straight, green =male, yellow=female). A nice version with three different edge types and 12 addional copies of some pieces giving a 6x6 square is sold by Gamepuzzles.

4 colors, 70 one-sided pieces:

With some patience you can make a 10x7 and a 14x5 rectangle. I have solved both puzzles manually, but it took me a couple of hours. For a computer program it's rather easy.

If you don't bother to create the pieces yourself you can get perfect ones with different edge types or different colors from Gamepuzzles.

4 colors, 55 two-sided pieces:

There are 55 edges of same color. Therefore it isn't possible to get all edges matched. If each border of a 5x11 rectangle has a different color, the number of remaining edges of same color is even and a construction can be made.

5 colors, 165 one-sided pieces:

5 colors, 120 two-sided pieces:

6 colors, 336 one-sided pieces:

6 colors, 231 two-sided pieces:

7 colors, 616 one-sided pieces:

The last part of the construction is at the right border and a lot of pieces with the border color must be saved for the endgame. For one sided pieces this strategy worked, but for the two sided I got some problems.

7 colors, 406 two-sided pieces:

For the two sided pieces the area for the endgame is a square in the right part of the construction not touching the border. Pieces with two or more red, dark green or yellow edges are used first, then pieces with at least one edge of the mentioned colors are preferred and for the last part of the puzzle only few pieces with these "bad" colors. are left.

7 different edge types, 406 two-sided pieces:

With different edge types the construction is a bit easier and the endgame can be done at the border.

8 colors, 1044 one-sided pieces:

8 colors, 666 two-sided pieces:

There are 666*4/8=333 edges of same color. Therefore it isn't possible to get all edges matched. If each border of two 37x9 rectangle has a different color, the number of remaining edges of same color is even and a construction can be made.

Index