Polystick

Polystick

In recreational mathematics, a polystick (or polyedge) is a polyform with a line segment (a 'stick') as the basic shape. Polysticks result when identical line segments are joined together end-to-end at 0° or 90° angles.

The possible different polysticks, not including rotations and reflections, include:
* 1 monostick,
* 2 disticks,
* 5 tristicks, and
* 16 tetrasticks.

The following diagram shows the polysticks of sizes 1 through 4, including the 1 monostick (red), 2 disticks (green), 5 tristicks (blue), and 16 tetrasticks (black).

References

* [http://puzzler.sourceforge.net/docs/polysticks.html "Polysticks Puzzles & Solutions", at Polyforms Puzzler]
* [http://www.solitairelaboratory.com/polyenum.html "Counting polyforms", at the Solitaire Laboratory]
* [http://www.research.att.com/~njas/sequences/A019988 "Number of ways of embedding a connected graph with n edges in the square lattice", at the On-Line Encyclopedia of Integer Sequences]
* [http://did.mat.uni-bayreuth.de/wassermann/tetrastick.pdf "Covering the Aztec Diamond with One-sided Tetrasticks", Alfred Wassermann, University of Bayreuth, Germany]

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