onlinemathtools logo

Sierpinski square generator

World's simplest math tool

Free online Sierpinski square fractal generator. Just press a button and you'll get a Sierpinski square curve. There are no ads, popups or nonsense, just an awesome Sierpinski square generator. Press a button – get a Sierpinski square. Created by mathematicians for mathematicians.
announcement heads up!
We just launched a new site — Online UTF8 Tools — utilities for working with UTF8 encoding. Check it out!
Sierpinski Square Form
Draw the regular Sierpinski square fractal.
Draw the space-filling Sierpinski square fractal.
Recursion and Size
Sierpinski squrare recursion depth. (Number of iterations.)
Sierpinski square width
Sierpinski square height
Offset in px from canvas margin.
Sierpinski square's line width.
Sierpinski Square Colors
Sierpinski square's background color.
Sierpinski square's line color.
Sierpinski square's inner color.
Sierpinski square generator tool What is a sierpinski square generator?
This tool draws Sierpinski square fractals. A Sierpinski square fractal is similar to the Sierpinski curve. The only difference is that the Sierpinski square grows from the sides of the starting square but the Sierpinski curve grows from the corners. There are two types of Sierpinski square – the rhombus form and the square form. You can adjust the size (width and height) of the Sierpinski fractal and padding from the sides of the square. You can also set the curve's thickness, its color and curve's fill color as well as the background color. Mathabulous!
Sierpinski square generator examples Click to use
Draw Sierpinski Square Fractal in Rhombus Form
This example generates a regular (rhombus form) Sierpinski square fractal. We use 4 iteration steps and a rectangular canvas of 400 by 420 pixels. We add extra space of 3px around the fractal from all sides and choose line width of 2 pixels.
Required options
These options will be used automatically if you select this example.
Draw the regular Sierpinski square fractal.
Sierpinski squrare recursion depth. (Number of iterations.)
Sierpinski square width
Sierpinski square height
Offset in px from canvas margin.
Sierpinski square's line width.
Sierpinski square's background color.
Sierpinski square's line color.
Sierpinski square's inner color.
Draw a Space-Filling Sierpinski Square Fractal
In this example, we use a square shape form for the fractal. In this case, the regular Sierpinski square is turned over by 45 degrees and it becomes a space-filling curve. This example draws the fractal of size 500x500px for 6 generations and uses a yellow-blue-white color theme.
Required options
These options will be used automatically if you select this example.
Draw the space-filling Sierpinski square fractal.
Sierpinski squrare recursion depth. (Number of iterations.)
Sierpinski square width
Sierpinski square height
Offset in px from canvas margin.
Sierpinski square's line width.
Sierpinski square's background color.
Sierpinski square's line color.
Sierpinski square's inner color.
Generate a Sierpinsky Square without a Border
This example draws a rhombus-shaped fractal without the contour line around the fractal. As a result only two colors are used – green fill color and black background color. The rhombus is inscribed in a 400-by-400 square canvas and is offset by 5 pixels from the edges.
Required options
These options will be used automatically if you select this example.
Draw the regular Sierpinski square fractal.
Sierpinski squrare recursion depth. (Number of iterations.)
Sierpinski square width
Sierpinski square height
Offset in px from canvas margin.
Sierpinski square's line width.
Sierpinski square's background color.
Sierpinski square's line color.
Sierpinski square's inner color.
Pro tips Master online math tools
You can pass options to this tool using their codes as query arguments and it will automatically compute output. To get the code of an option, just hover over its icon. Here's how to type it in your browser's address bar. Click to try!
https://onlinemathtools.com/generate-sierpinski-square?&width=400&height=420&iterations=4&background-color=%230c006b&line-segment-color=white&fill-color=%230389ff&line-width=2&padding=3&rhombus-form=true
All math tools
Didn't find the tool you were looking for? Let us know what tool we are missing and we'll build it!
Quickly visualize rules of an Lindenmayer rewrite system.
Quickly generate a list of primes.
Quickly generate a list of Fibonacci numbers.
Quickly generate a list of extended, negative Fibonacci numbers.
Quickly generate a list of Fibonacci primes.
Quickly generate a list of Fibonacci words.
Quickly generate a list of Tribonacci words.
Quickly generate a list of Lucas numbers.
Quickly generate a list of extended, negative Lucas numbers.
Quickly generate a list of Lucas numbers that are also prime numbers.
Quickly generate a list of perfect numbers.
Quickly generate random numbers.
Quickly generate a list of look-and-say sequence numbers.
Quickly create a list of Prouhet-Thue-Morse sequence values.
Quickly create a list of dragon curve sequence values.
Quickly create a list of Oldenburger-Kolakoski sequence values.
Quickly create a list of Gijswijt sequence values.
Quickly create a list of Golay-Rudin-Shapiro sequence values.
Quickly create a list of Baum-Sweet sequence values.
Quickly create a list of Moser-de Bruijn sequence values.
Quickly generate a list of even numbers.
Quickly generate a list of odd numbers.
Quickly generate π constant's digits to arbitrary precision.
Quickly calculate Euler constant's digits to arbitrary precision.
Quickly calculate φ constant's digits to arbitrary precision.
Quickly calculate factorials.
Quickly create a triangluar array of binomial coefficients.
Quickly create a matrix with random elements.
Quickly create a unit matrix with ones along the diagonal.
Quickly find the transpose of a matrix.
Quickly find the inverse of a matrix.
Quickly calculate the determinant of a matrix.
Quickly find the sum of two or more matrices.
Find the difference of two or more matrices.
Quickly find the product of matrices.
Quickly draw a Hilbert space-filling curve.
Quickly draw a Harter-Heighway space-filling dragon fractal.
Quickly draw a Davis-Knuth dragon fractal.
Quickly draw a triple dragon fractal.
Quickly draw a quaddragon fractal.
Quickly draw a hexdragon curve.
Quickly draw a Peano space-filling fractal.
Quickly draw a Moore space-filling curve.
Quickly draw a Peano-Gosper space-filling curve.
Quickly draw a Sierpinski arrowhead fractal curve.
Quickly draw a Sierpinski sieve fractal.
Quickly draw a Sierpinski closed plane fractal curve.
Quickly draw a Sierpinski carpet fractal.
Quickly draw a Sierpinski maze fractal.
Quickly draw a Sierpinski square fractal.
Quickly draw a Sierpinski pentaflake fractal.
Quickly draw a Sierpinski hexaflake fractal.
Quickly draw a Sierpinski n-gon fractal.
Quickly draw a Koch island fractal curve.
Quickly draw a Koch antisnowflake fractal.
Quickly draw a triflake fractal.
Quickly draw a quadratic Koch flake fractal.
Quickly draw a quadric cross fractal.
Quickly draw a Cesaro fractal.
Quickly draw a self-similar Levy C fractal curve.
Quickly draw a Vicsek snowflake fractal.
Quickly draw a T-square fractal.
Quickly draw a Cantor set fractal.
Quickly draw an asymmetric Cantor set fractal.
Quickly draw a generalized Cantor set fractal.
Quickly draw an ε-Cantor set fractal.
Quickly draw a Cantor dust fractal.
Quickly draw a Fibonacci word fractal.
Quickly draw an H-tree fractal.
Quickly generate a Morton Z-order fractal curve.
Coming soon These math tools are on the way
Find n-th e Digit
Calculate the n-th digit of Euler's number.
Find n-th Golden Ratio Digit
Calculate the n-th digit of Golden Ratio.
Find n-th Pi Digit
Calculate the n-th digit of pi constant.
Find Prime Factors
Given a number, factorize it and find its prime factors.
Test if a Number is a Prime
Find out if the given number is a prime number.
Test if a Number is a Fibonacci Number
Find out if the given number is a Fibonacci number.
Decode a Look-and-say Sequence
Perform the inverse operation on a look-and-say sequence.
Generate Abundant Number Sequence
Create a list of excessive numbers.
Generate Bell Number Sequence
Create a list of Bell numbers.
Generate Carmichael Number Sequence
Create a list of Charmichel numbers.
Generate Catalan Number Sequence
Create a list of Catalan numbers.
Generate Composite Number Sequence
Create a list of composite numbers.
Generate Deficient Number Sequence
Create a list of deficient numbers.
Generate Secant Number Sequence
Create a list of secant numbers.
Multiply a Matrix by a Scalar
Multiply all matrix elements by a number.
Check if a Matrix is Singular
Determine if a matrix is degenerate.
Find the Co-factor Matrix
Given a matrix, find its cofactor matrix.
Find the Adjugate Matrix
Given a matrix, find its adjunct.
LU Factor a Matrix
Decompose a matrix into LU factors.
Find Matrix Eigenvalues
Find eigenvalues of a matrix.
Draw a Apollonian Gasket
Generate an Apollonian gasket fractal.
Draw a Mandelbrot Fractal
Generate a Mandelbrot fractal.
Draw a Julia Fractal
Generate a Julia fractal.
Draw a Rauzy Fractal
Generate a Rauzy fractal.
Draw Blancmange Fractal Curve
Generate a Blancmange fractal.
Draw Weierstrass Function
Generate a Weierstrass fractal.
Draw Minkowski Question-mark Curve
Generate a Minkowski Question-mark fractal.
Draw Thomae's Function
Generate a Thomae's function (also known as popcorn or raindrop function).
Draw Dirichlet's Function
Generate a Dirichlet's function.
Convert Words to Numbers
Convert numbers as English text to actual digits.
Convert Numbers to Words
Convert numbers to written English text.
Convert Decimal Notation to Scientific Notation
Convert numbers written in decimal form to scientific form.
Convert Scientific Notation to Decimal Notation
Convert numbers written in scientific form to decimal form.
Round Numbers Up
Apply ceil operation to numbers.
Round Numbers Down
Apply floor operation to numbers.