Wolfram|Alpha Iterated Objects Calculators

Wolfram|Alpha has iterated object calculators. Solve problems related to 3D fractals, dragon curves, iterated object functions, line replacement rules, Mandelbrot and Julia sets, multiple replacement rules, random walks, shape replacement rules and space-filling curves.

Iterated Objects

3D Fractals
Menger Sponge CalculatorSierpiński Tetrahedron Calculator
Dragon Curves
Dragon Curve CalculatorGoffinet Dragon CalculatorTerdragon Curve Calculator
Iterated Object Functions
Blancmange Function CalculatorCantor Function CalculatorDirichlet Function Calculator
Line Replacement Rules
Anti‐square Ice Fractal CalculatorAnti‐triangle Ice Fractal CalculatorCesàro Fractal CalculatorCross‐Stitch Curve CalculatorExterior Snowflake CalculatorGosper Island CalculatorKoch Anti‐snowflake CalculatorKoch Curve CalculatorKoch Snowflake CalculatorLévy Fractal CalculatorLévy Tapestry CalculatorMinkowski Sausage Calculator
Mandelbrot & Julia Sets
Julia Set CalculatorMandelbar Set CalculatorMandelbrot Set CalculatorMultibrot Set Calculator
Multiple Replacement Rules
Box Fractal CalculatorCantor Dust CalculatorCantor Square Fractal CalculatorHaferman Carpet CalculatorSierpiński Carpet Calculator
Random Walks
One‐Dimensional Random Walk CalculatorThree‐Dimensional Random Walk CalculatorThree‐Dimensional Self‐Avoiding Random Walk CalculatorTwo‐Dimensional Random Walk CalculatorTwo‐Dimensional Self‐Avoiding Random Walk Calculator
Shape Replacement Rules
Apollonian Gasket CalculatorCantor Set CalculatorCurlicue Fractal CalculatorHexaflake CalculatorH‐Fractal CalculatorPentaflake CalculatorPythagoras Tree CalculatorSierpiński Gasket CalculatorSquare Ice Fractal CalculatorTriangle Ice Fractal CalculatorT‐Square Fractal Calculator
Space-Filling Curves
First Sierpiński Curve CalculatorHilbert Curve CalculatorHilbert‐2 Curve CalculatorMoore Curve CalculatorPeano Curve CalculatorPeano–Gosper Curve CalculatorRudin–Shapiro Curve CalculatorSecond Sierpiński Curve CalculatorSierpiński Arrowhead Curve Calculator