Polysticks Puzzles & Solutions

Author: David Goodger <goodger@python.org>
Date: 2008-10-19
Revision: 240
Web site:http://puzzler.sourceforge.net/
Copyright: © 1998-2008 by David J. Goodger
License:GPL 2
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Contents

Tetrasticks

One-Sided Welded Tetrasticks

The "welded" tetrasticks are those that contain junction points, or welds, and therefore do not form simple connected paths (in other words, they branch). There are 6 welded tetrasticks, 4 of which are asymmetrical, therefore there are 10 one-sided welded tetrasticks.

15 of 16 Tetrasticks

Due to an imbalance in horizontal/vertical parity, the 16 tetrasticks cannot be formed into a symmetrical shape. But by omitting one of the five tetrasticks that have an excess of vertical or horizontal line segments (H, J, L, N, Y), symmetrical shapes can be formed.

  • 6x6 grid: 1795 solutions

    images/tetrasticks-6x6.png

    In this solution, the "H" piece is omitted.

One-Sided Tetrasticks

9 of the 16 tetrasticks are asymmetrical, therefore there are 25 one-sided tetrasticks.

Polysticks of Order 1 Through 4

This puzzle uses the 1 monostick, 2 disticks, 5 tristicks, and 16 tetrasticks.