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polystick
In recreational mathematics, a polystick (or polyedge) is a polyform with a line segment (a 'stick') as the basic shape. A polystick is a connected set of segments in a regular grid. A square polystick is a connected subset of a regular square grid. A triangular polystick is a connected subset of a regular triangular grid. Polysticks are classified according to how many line segments they contain.
When reflections are considered distinct we have the ''one-sided'' polysticks. When rotations and reflections are not considered to be distinct shapes, we have the ''free'' polysticks. Thus, for example, there are 7 one-sided square tristicks because two of the five shapes have left and right versions.〔(Weisstein, Eric W. "Polystick." From MathWorld )〕〔(Counting polyforms'', at the Solitaire Laboratory )〕
The following diagram shows the (free) square polysticks of sizes 1 through 4, including the 1 monostick (red), 2 disticks (green), 5 tristicks (blue), and 16 tetrasticks (black).
==References==
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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