Rudin-Shapiro Curve
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
The Rudin-Shapiro sequence gives the parity of the number of (possibly overlapping) 11 blocks in the binary representation of . A curve can be derived from this sequence as follows. At step , if is even, turn right 90°; otherwise turn left 90°. The curve visits every lattice point in one eighth of the plane precisely twice. (Here the corners are rounded for clarity.)
Contributed by: Eric Rowland (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
detailSectionParagraphPermanent Citation
"Rudin-Shapiro Curve"
http://demonstrations.wolfram.com/RudinShapiroCurve/
Wolfram Demonstrations Project
Published: March 7 2011