How to resolve the algorithm Sierpinski square curve step by step in the Mathematica/Wolfram Language programming language
Published on 22 June 2024 08:30 PM
How to resolve the algorithm Sierpinski square curve step by step in the Mathematica/Wolfram Language programming language
Table of Contents
Problem Statement
Produce a graphical or ASCII-art representation of a Sierpinski square curve of at least order 3.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Sierpinski square curve step by step in the Mathematica/Wolfram Language programming language
The code generates a Sierpinski curve of order 3. The Sierpinski curve is a fractal curve that is defined by the following recursive rules:
- The curve of order 0 is a line segment.
- The curve of order n is obtained by taking the curve of order n-1 and replacing each line segment with the following sequence of line segments:
- The original line segment.
- A copy of the curve of order n-1, rotated by 60 degrees counterclockwise.
- A copy of the curve of order n-1, rotated by 60 degrees clockwise.
The code uses the SierpinskiCurve
function to generate the curve. The function takes one argument, which is the order of the curve to be generated. In this case, the order of the curve is 3.
The Graphics
function is used to display the curve. The function takes one argument, which is a list of graphics primitives. In this case, the list contains a single primitive, which is the Sierpinski curve.
The output of the code is a plot of the Sierpinski curve of order 3.
Source code in the wolfram programming language
Graphics[SierpinskiCurve[3]]
You may also check:How to resolve the algorithm Population count step by step in the Nim programming language
You may also check:How to resolve the algorithm Almost prime step by step in the Scala programming language
You may also check:How to resolve the algorithm Plasma effect step by step in the Julia programming language
You may also check:How to resolve the algorithm Permutations step by step in the Picat programming language
You may also check:How to resolve the algorithm Hilbert curve step by step in the Yabasic programming language