# Sierpinski sieve generator

## World's simplest math tool

Free online Sierpinski triangle generator. Just press a button and you'll automatically get a Sierpinski sieve. There are no ads, popups or nonsense, just an awesome Sierpinski sieve generator. Press a button, get a Sierpinski triangle. Created by mathematicians for mathematicians.

A link to this tool, including input, options and all chained tools.

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Sierpinski sieve generator tool
What is a sierpinski sieve generator?

This tool draws Sierpinski sieves, also known as Sierpinski triangles. A Sierpinski triangle is a fractal structure that has the shape of an equilateral triangle. Each triangle in this structure is divided into smaller equilateral triangles with every iteration. At the moment we allow up to 10 iterations because drawing 11th iteration takes too long. With this tool you can customize Sierpinski gasket's size and looks. You can set the width and height of the fractal, change the background, foreground and fill color, change triangle's width and change padding around the drawing. Mathabulous!

Sierpinski sieve generator examples
Click to use

Create a 4th Order Sierpinsky Triangle

This example iterates Sierpinsky algorithm for 4 iterations and draws it on a 400 by 400 pixel canvas. It uses three different colors to draw it - white for triangles' border, brown for background and red for inner triangles.

**Required options**

Sierpinski triangle's width.

Sierpinski triangle's height.

How many times to subdivide
triangles? (Iterations)

Sierpinski sieve's
background color.

Sierpinski sieve's
line color.

Internal triangle fill color.

Sierpinski gasket's line thickness.

Padding around Sierpinski gasket.

Generate a Triforce

This example draws a triforce. A triforce is nothing but a 2nd generation Serpienski sieve.

**Required options**

Sierpinski triangle's width.

Sierpinski triangle's height.

How many times to subdivide
triangles? (Iterations)

Sierpinski sieve's
background color.

Sierpinski sieve's
line color.

Internal triangle fill color.

Sierpinski gasket's line thickness.

Padding around Sierpinski gasket.

Generate a Detailed Sierpinsky Gasket

This example draws a Sierpinsky gasket using five iterations. As a result you get a very detailed fractal drawing of triangles-in-triangles.

**Required options**

Sierpinski triangle's width.

Sierpinski triangle's height.

How many times to subdivide
triangles? (Iterations)

Sierpinski sieve's
background color.

Sierpinski sieve's
line color.

Internal triangle fill color.

Sierpinski gasket's line thickness.

Padding around Sierpinski gasket.

Draw a Non-filled Sierpinsky Sieve

This example uses only two colors to generate a Sierpinski sieve fractal. It disables color-filling option that fills inner triangles and as a result you get just the outline of all triangles.

**Required options**

Sierpinski triangle's width.

Sierpinski triangle's height.

How many times to subdivide
triangles? (Iterations)

Sierpinski sieve's
background color.

Sierpinski sieve's
line color.

Sierpinski gasket's line thickness.

Padding around Sierpinski gasket.

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-sieve?&width=400&height=400&iterations=4&background-color=%23480607&line-segment-color=%23F5F5F5&line-width=3&padding=8&fill-triangles=true&fill-color=%23FF3800

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