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SierpinskiCurve

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Closed Sierpinski square curve as a Line (Wirth recursion with fixed half-step 32 matching wolframscript coordinates)

SierpinskiCurve[n]
Graphics[SierpinskiCurve[2]] → -Graphics-Table[RegionMeasure[SierpinskiCurve[n]], {n, 5}] → {256 + 384*Sqrt[2], 1280 + 1408*Sqrt[2], 5376 + 5504*Sqrt[2], 21760 + 21888*Sqrt[2], 87296 + 87424*Sqrt[2]}Graphics[{Thickness[Large], SierpinskiCurve[3] /. Line -> BSplineCurve}] → -Graphics-
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