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A Moore curve (after E. H. Moore) is a continuous fractal space-filling curve which is a variant of the Hilbert curve. Precisely, it is the loop version of the Hilbert curve, and it may be thought as the union of four copies of the Hilbert curves combined in such a way to make the endpoints coincide. Because the Moore curve is plane-filling, its Hausdorff dimension is 2. The following figure shows the initial stages of the Moore curve. File:Moore-curve-stages-0-through-5.png ==Representation as Lindenmayer system== The Moore curve can be expressed by a rewrite system (L-system). :Alphabet: L, R :Constants: F, +, − :Axiom: LFL+F+LFL :Production rules: : L → −RF+LFL+FR− : R → +LF−RFR−FL+ Here, ''F'' means "draw forward", ''+'' means "turn left 90°", and ''−'' means "turn right 90°" (see turtle graphics). 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Moore curve」の詳細全文を読む スポンサード リンク
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