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Vicsek fractal generator

World's simplest math tool

Free online Vicsek fractal generator. Just press a button and you'll automatically get a Vicsek snowflake. There are no ads, popups or nonsense, just an awesome Vicsek box generator. Press a button, get a Vicsek fractal. Created by mathematicians for mathematicians.
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Fractal Form
Generate the saltire form of Vicsek fractal.
Generate the cross form of Vicsek fractal.
Fractal Options
Number of recursive iterations
Fractal width
Fractal height
Fractal Drawing Options
Background color.
Vicsek curve color.
Internal fractal fill color.
Vicsek curve width.
Padding around Vicsek curve.
Vicsek fractal generator tool What is a vicsek fractal generator?
This tool draws Vicsek fractals. A Vicsek fractal is also known as a Vicsek snowflake or a Vicsek box. It's a self-similar fractal structure and has two types - the saltire form and the cross form. These two forms only differ by the arrangement of squares. In saltire form the four squares on the left, right, top and bottom are removed, and other squares are left untouched. In cross form it's reversed. When generating the box fractal, you can set iteration count and the width and height of the fractal. You can colorize this fractal using three colors - for the background, for the line and for the inner part of the curve. You can also change padding around the curve and the thickness of curve itself. Mathabulous!
Vicsek fractal generator examples Click to use
Generate a Saltire Form Vicsek Curve
This example draws a 3rd order saltire form Vicsek snowflake on a 564x564px square with a navy background color, white curve color and pink inner color. It sets curve thickness to 4px and padding to 10px.
Required options
These options will be used automatically if you select this example.
Generate the saltire form of Vicsek fractal.
Generate the cross form of Vicsek fractal.
Number of recursive iterations
Fractal width
Fractal height
Background color.
Vicsek curve color.
Internal fractal fill color.
Vicsek curve width.
Padding around Vicsek curve.
Draw a Cross Form Vicsek Fractal
This example generates a Vicsek box with a black outline and green inside on a light blue background. It uses 4 iterations to generate this fractal.
Required options
These options will be used automatically if you select this example.
Generate the saltire form of Vicsek fractal.
Generate the cross form of Vicsek fractal.
Number of recursive iterations
Fractal width
Fractal height
Background color.
Vicsek curve color.
Internal fractal fill color.
Vicsek curve width.
Padding around Vicsek curve.
Generate a Non-square Vicsek Box
This example draws rectangular Vicsek box with dimensions 600x500px using only 2 iterations. It uses redish color theme.
Required options
These options will be used automatically if you select this example.
Generate the saltire form of Vicsek fractal.
Generate the cross form of Vicsek fractal.
Number of recursive iterations
Fractal width
Fractal height
Background color.
Vicsek curve color.
Internal fractal fill color.
Vicsek curve width.
Padding around Vicsek curve.
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-vicsek-curve?&width=564&height=564&iterations=3&saltire-form=true&cross-form=false&background-color=%2305014f&line-segment-color=white&fill-color=%23f56cff&line-width=4&padding=10
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