Möbius Mu Function Walk
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
Take a walk guided by the Möbius 
function. Choose one of five sets of rules. The path is colored various hues to help distinguish overlapping parts. Choose the number of possible turns that could be taken at each step of the journey.
Contributed by: Noel Patson (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
detailSectionParagraphPermanent Citation
"Möbius Mu Function Walk"
http://demonstrations.wolfram.com/MoebiusMuFunctionWalk/
Wolfram Demonstrations Project
Published: March 7 2011
Random Ink Blot
Andy Ross
Schoenberg Plane-Filling Curve
Robert Dickau
Peano Curve Explorer
Robert Dickau
Generalized Digit Parity
Noel Patson
Tiling Dragons and Rep-tiles of Order Two
Dieter Steemann
Chaotic Itinerary but Regular Pattern
Bernard Vuilleumier
Dust with Line Shadows in Every Direction
Jaime Rangel-Mondragon
Rauzy Fractals as Stepped Surfaces
Dieter Steemann
Rauzy Fractals of Order Four
Dieter Steemann
Kenyon Tiling Construction (Boundary)
Dieter Steemann
-
Merging Mountains
Noel Patson -
Lagrange's Four-Square Theorem Seen Using Polygons and Lines
Noel Patson -
Ways of Stepping One, Two, or Three Stairs Up a Stairway
Noel Patson -
Clock Hand Tips
Noel Patson -
Real Digits Carpet
Noel Patson -
Line Art 3
Noel Patson -
Overlapping Patterns
Noel Patson -
Abstract Art
Noel Patson -
Equal Incircles along a Line
Noel Patson -
Three Touching Circles on a Line
Noel Patson -
Prime Walk
Noel Patson -
Irrational Digits Walk
Noel Patson -
Generalized Digit Parity for Integer Sequences
Noel Patson -
Möbius Mu Function Walk
Noel Patson -
Number of Repeating Digits in Base b Expansion of Fractions
Noel Patson -
Generalized Kaprekar Routine
Noel Patson -
Generalized Digit Parity
Noel Patson -
Oscillations of a Pogo Stick
Noel Patson -
Relationship of Sine and Cosine to the Unit Circle
Noel Patson -
Square Matrix Permutations
Noel Patson