Polyhexes: Puzzles & Solutions

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
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Contents

Tetrahexes

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).

Trihexes & Tetrahexes: Polyhexes of Order 3 & 4

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.

Polyhexes of Order 1 Through 4

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

One-Sided Polyhexes of Order 1 Through 4

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

Polyhexes of Order 1 Through 5

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

One-Sided Polyhexes of Order 1 Through 5

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.

Hexahexes

The 82 hexahexes total 492 hexagons.