# 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.

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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**

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**

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**

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

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