Author: | David Goodger <goodger@python.org> |
---|---|

Date: | 2015-02-24 |

Revision: | 600 |

Web site: | http://puzzler.sourceforge.net/ |

Copyright: | © 1998-2015 by David J. Goodger |

License: | GPL 2 |

Contents

The 7 tetrahexes total 28 hexagons. Unfortunately, there is no solution to the order-7 triangle using all seven tetrahexes (a tiling using seven copies of the P4 tetrahex is possible).

4x7 parallelogram: 9 solutions

9x2 elongated hexagon (= 3x10 parallelogram with corners clipped, the old name): 2 solutions

3x4 elongated hexagons with holes:

5x7 "coin" (5x3 elongated hexagon with central hole): 4 solutions

Two intersecting diamonds:

Flowers:

Bumpy triangle: 1 solution

7x4 staggered rectangle: 23 solutions

Holey Star (design by George Sicherman): 2 solutions

These puzzles use the three trihexes and the seven tetrahexes, for a total of 37 hexagons. This combination was featured in The Puzzling World of Polyhedral Dissections, by Stewart T. Coffin and produced as the Snowflake puzzle.

Hexagon: 12,290 solutions

Hexagram: 167 solutions

Tri-lobed Crowns:

These puzzles use the monohex, the dihex, the three trihexes, and the seven tetrahexes, for a total of 40 hexagons.

4x10 parallelogram: 3,665,348 solutions

5x8 parallelogram: 7,578,295 solutions

6x7 parallelogram with hole (design by Dan Klarskov): 3,832,702 solutions

13x2 elongated hexagon: 1,389,980 solutions

3x5 elongated hexagon (design by Dan Klarskov): 6,175,571 solutions

Irregular hexagons:

9x8 trapezoid (design by Dan Klarskov): 1,310,969 solutions

Triangles:

Tri-lobed Crown (inspired by the Snowflake puzzle): 1,349,201 solutions

Jagged hexagons:

Knobbed hexagons:

2x6 elongated hexagon ring (design by Dan Klarskov): 659,517 solutions

Diamond ring (design by Dan Klarskov): 83,837 solutions

Hexagon rings:

Equivalent to the inner ring of the featured solution of Kadon's "Hexnut" puzzle; see the full Hexnut puzzle.Staggered rectangles:

These puzzles use the monohex, the dihex, the three trihexes, and the ten one-sided tetrahexes, for a total of 52 hexagons.

These puzzles uses the monohex, the dihex, the three trihexes, the seven tetrahexes, and the 22 pentahexes, for a total of 150 hexagons.

5x30 parallelogram: solutions incomplete

6x25 parallelogram: solutions incomplete

10x15 parallelogram: solutions incomplete

Hexagon ring (equivalent to Kadon's "Hexnut" puzzle, and subdivided similarly to the featured solution by Michael Keller, with the pentahexes in an outer ring and the order 1 through 4 polyhexes in an inner ring; see the solution to the Hexnut inner ring): solutions incomplete

15x2 semi-regular hexagon: solutions incomplete

Triangle: solutions incomplete

17x15 trapezoid: solutions incomplete

18x12 trapezoid: solutions incomplete

32x5 trapezoid: solutions incomplete

These puzzles uses the monohex, the dihex, the three trihexes, the ten one-sided tetrahexes, and the 33 one-sided pentahexes, for a total of 217 hexagons.

Hexagon: solutions incomplete

31x7 parallelogram: solutions incomplete

22x14 trapezoid: solutions incomplete

The 82 hexahexes total 492 hexagons.

Hexagon ring (design from Kadon's Hexnut II): solutions incomplete