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

Date: | 2015-03-20 |

Revision: | 625 |

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

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

License: | GPL 2 |

Contents

The heptiamonds consist of 24 7-triangle polyforms, for a total of 168 unit triangles.

7x12: solutions incomplete

6x14: solutions incomplete

4x21: solutions incomplete

3x28: solutions incomplete

13-unit triangle with central 1-unit hole: solutions incomplete

Trapezoid triangle (exploded version of the triangle above): solutions incomplete

Triangle rings:

Triangle hex rings:

Stepped obtuse triangle (design by Johannes H. Hindriks): solutions incomplete

Sawtooth triangle (design by Johannes H. Hindriks): solutions incomplete

*Brit.* trapezium.

12x13: solutions incomplete

6x17: solutions incomplete

4x23: solutions incomplete

4x21: solutions incomplete

6x14: solutions incomplete

12x7: solutions incomplete

14x6: solutions incomplete

28x3: solutions incomplete

Stacks of 2-unit-high elongated hexagons; approximations of rectangles.

11x8: solutions incomplete

4x24: solutions incomplete

Snowflake 1 (truncated hexagram; a.k.a. Tenyo's puzzle no. PP-24, "Unmeltable Snow"): solutions incomplete

Exploded view of Snowflake 1 (split into three cloverleaf shapes; design from Andrew Clarke's Poly Pages): solutions incomplete

Snowflake 2: solutions incomplete

Snowflake 3 (design by Johannes H. Hindriks): solutions incomplete

Regular 12-unit-high (side length 6) hexagons with holes of various shapes & sizes:

Jagged hexagons (designs from Johannes H. Hindriks):

4x22 long hexagon: solutions incomplete

10x12 short hexagon: solutions incomplete

2x8/10x10 short hexagon ring: solutions incomplete

8x3/11x11 semi-regular hexagon: solutions incomplete

7x4 semiregular hexagon ring: solutions incomplete

Semiregular hexagon formed from three 7x4 parallelograms (exploded version of the 7x4 semiregular hexagon above): solutions incomplete

11x5 elongated hexagon ring (design by Johannes H. Hindriks): solutions incomplete

In various configurations.

Four 2x3 hexagons stacked vertically: solutions incomplete

Two adjacent groups of two 2x3 hexagons stacked vertically: solutions incomplete

Four 2x3 hexagons bunched together (one nestled on each side of a central stack of two; similar to O4 tetrahex): solutions incomplete

As above, but the two central hexagons are now two vertical units apart: solutions incomplete

As above, but the two central hexagons are now four vertical units apart: solutions incomplete

Four 2x3 hexagons arranged as a trefoil (similar to Y4 tetrahex): solutions incomplete

Four separate 2x3 hexagons (proving that

*any*configuration is possible!): solutions incomplete

Side length 4 (overall height 16) hexagrams with various holes:

These shapes are all based on the hexagonal grid, made up of 28 6-triangle hexagons (side length 1). In fact, many of these shapes are also tetrahex puzzles.

Some shapes have hexagonal-grid holes, others have triangular-grid holes.

Triangle: solutions incomplete

Triangle hexagram ring (design by Johannes H. Hindriks): solutions incomplete

Bumpy triangle: solutions incomplete

Hexagons:

7x4 parallelogram: solutions incomplete

14x2 parallelogram: solutions incomplete

9x2 elongated hexagon: solutions incomplete

5x3 elongated hexagon (with a hole): solutions incomplete

Two intersecting diamonds:

Trefoils:

7x4 staggered rectangle: solutions incomplete

Rosettes:

Flowers:

These shapes are all based on the hexagonal grid, made up of 7 24-triangle hexagons (side length 2).

7x1 bar: solutions incomplete

4x2 trapezoid: solutions incomplete

Trefoils:

Dumbbell: solutions incomplete

Bone: solutions incomplete

Spiral: solutions incomplete

The heptiamonds consist of 24 7-triangle polyforms, totalling 168 unit triangles. Take a heptiamond, replace each unit triangle with an order-5 triangle, and the total is 175 unit triangles. Remove 7 excess unit triangles (say, a hole the shape of the heptiamond we are replicating), and the designs below are the result.

For another way to accomplish this replication, see Miroslav Vicher's Puzzle Pages.

Trefoil (W7): solutions incomplete

Trapezoid (I7): solutions incomplete

Jewel (D7): solutions incomplete

Diamond ring (10-unit diamond with central 4-unit diamond hole): solutions incomplete

Diamond window (design by Johannes H. Hindriks): solutions incomplete

Sets of two identical 6x2/8x8 semi-regular hexagons with triangular holes: solutions incomplete

Trefoils:

10x6 butterfly: solutions incomplete

Hexagon-hexagram diamond ring (design by Johannes H. Hindriks): solutions incomplete

Hexagon-hexagram gaskets:

The one-sided heptiamonds consist of 43 7-triangle polyforms, for a total of 301 unit triangles.

13x5 elongated hexagon: solutions incomplete

Triangles:

11x4 semiregular hexagon: solutions incomplete