Heptiamonds: Puzzles & Solutions
| Author: | David Goodger <goodger@python.org> |
|---|---|
| Date: | 2019-10-03 |
| Revision: | 659 |
| Web site: | http://puzzler.sourceforge.net/ |
| Copyright: | © 1998-2015 by David J. Goodger |
| License: | GPL 2 |
Contents
Heptiamonds
The heptiamonds consist of 24 7-triangle polyforms, for a total of 168 unit triangles.
Parallelograms
7x12: solutions incomplete
6x14: solutions incomplete
4x21: solutions incomplete
3x28: solutions incomplete
Triangles
13-unit triangle with central 1-unit hole: solutions incomplete
Trapezoid triangle (exploded version of the triangle above): solutions incomplete
Triangle rings:
14-unit triangle with points removed and central 5-unit triangle hole: solutions incomplete
14-unit triangle with a central 5-unit triangle hole and 3 unit triangle holes (design by Johannes H. Hindriks): solutions incomplete
Triangle hex rings:
solutions incomplete (design by Johannes H. Hindriks)
Stepped obtuse triangle (design by Johannes H. Hindriks): solutions incomplete
Sawtooth triangle (design by Johannes H. Hindriks): solutions incomplete
Trapezoids
Brit. trapezium.
12x13: solutions incomplete
6x17: solutions incomplete
4x23: solutions incomplete
Chevrons
4x21: solutions incomplete
6x14: solutions incomplete
12x7: solutions incomplete
14x6: solutions incomplete
28x3: solutions incomplete
Stacks
Stacks of 2-unit-high elongated hexagons; approximations of rectangles.
11x8: solutions incomplete
4x24: solutions incomplete
Snowflakes
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
Hexagons
Regular 12-unit-high (side length 6) hexagons with holes of various shapes & sizes:
solutions incomplete (design by Johannes H. Hindriks)
solutions incomplete (design by Johannes H. Hindriks)
solutions incomplete (design by Johannes H. Hindriks)
solutions incomplete (design by Johannes H. Hindriks)
solutions incomplete (design by Johannes H. Hindriks)
Jagged hexagons (designs from Johannes H. Hindriks):
Irregular Hexagons
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
Four 2x3 Hexagons
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
Hexagrams
Side length 4 (overall height 16) hexagrams with various holes:
H(1) Hexagonal-Grid Shapes
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:
solutions incomplete (design by Johannes H. Hindriks)
solutions incomplete (design by Johannes H. Hindriks)
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:
H(2) Hexagonal-Grid Shapes
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
Quintuple Heptiamonds
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
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Misc
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:
solutions incomplete (design from Kadon's Iamond Ring booklet)
solutions incomplete (design by Johannes H. Hindriks)
solutions incomplete (design by Johannes H. Hindriks)
solutions incomplete (design by Johannes H. Hindriks)
10x6 butterfly: solutions incomplete
Hexagon-hexagram diamond ring (design by Johannes H. Hindriks): solutions incomplete
Hexagon-hexagram gaskets:
One-Sided Heptiamonds
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
