SierpinskiCurve

Available

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

Forms

SierpinskiCurve[n]

Verified examplesGraphics[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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Topics

Geometric Special Regions - Regions in 1D
Iterated Maps And Fractals - Space-Filling Curves
New In111 Alphabetical Listing - S

Related

PeanoCurve HilbertCurve KochCurve AASTriangle ASATriangle Annulus Ball CapsuleShape Circle CircleThrough Circumsphere Cone

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