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Triflake fractal

World's simplest fractal tool

This utility lets you draw custom and colorful triflake fractals. We have added multiple customization options that allow you to control the size of the fractal, iterations count, and colors. The size can be controlled by setting the height and width of the image, the padding around the triflake, and the drawing line width. The color palette consists of colors for the image background, center of the fractal, side islands, and the drawing line color. At the moment, you can generate the first ten iterations of this fractal. Fun fact – a triflake is made out of three touching Koch anti-snowflakes. Fractabulous!
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Recursion, Width and Height
Number of recursive steps.
Drawing space width.
Drawing space height.
Line, Padding and Orientation
Width of the triflake's line.
Padding around the fractal.
Triflake's orientation.
Triflake's Colors
Space fill color.
Center fill color.
Triflake island fill color.
Drawing line color.
Triflake fractal tool What is a triflake fractal?
This online browser-based tool allows you to visualize triflake fractals. The triflake fractal contains all variations of the Koch fractal at once! It consists of one Koch snowflake, three Koch antisnowflakes, and nine Koch lines. It's built from three connected equilateral triangles that touch at vertices that together form a bigger equilateral triangle. To create a triflake, all three triangles are morphed into Koch anti-snowflakes at the same time. After a couple of iterations a regular Koch snowflake forms in the center of triangles. If you look closely, you can also notice that the outer side of the fractal consists of six Koch lines and the inner one of the three. Mind blowing and ingenious at the same time, or as we love to say – fractabulous!
Triflake fractal examples Click to use
Multicolored Triflake Fractal
In this example, we generate a multi-colored fourth-order Koch triflake. We use all colors in the palette for it – a blue-ribbon color for the background, a heliotrope color for the Koch star that's formed inside, yellow for the triflake islands, and an arapawa color for the line. We draw this fractal on a 700 by 700 pixels canvas with an 8-pixel padding and 6-pixel line width.
In this example, we generate a multi-colored fourth-order Koch triflake. We use all colors in the palette for it – a blue-ribbon color for the background, a heliotrope color for the Koch star that's formed inside, yellow for the triflake islands, and an arapawa color for the line. We draw this fractal on a 700 by 700 pixels canvas with an 8-pixel padding and 6-pixel line width.
Required options
These options will be used automatically if you select this example.
Number of recursive steps.
Drawing space width.
Drawing space height.
Width of the triflake's line.
Padding around the fractal.
Triflake's orientation.
Space fill color.
Center fill color.
Triflake island fill color.
Drawing line color.
Triflake Stain
In this example, we accidentally spilled some triflake. It formed a nasty triflake stain that is almost impossible to clean up because of its irrational fractal dimension. We'll be asking Koch for help as only he knows to clean up these fractal spills.
In this example, we accidentally spilled some triflake. It formed a nasty triflake stain that is almost impossible to clean up because of its irrational fractal dimension. We'll be asking Koch for help as only he knows to clean up these fractal spills.
Required options
These options will be used automatically if you select this example.
Number of recursive steps.
Drawing space width.
Drawing space height.
Width of the triflake's line.
Padding around the fractal.
Triflake's orientation.
Space fill color.
Center fill color.
Triflake island fill color.
Drawing line color.
Triflake Upside-down
In this example, we direct the vertex of the triflake fractal downward and generate six iterations for it. We use an interesting mix of colors to draw it. We paint the background and triflake islands in the siren color, and the center and contour line in the green-yellow color. We also set the image width and height to 600 pixels, and padding to 20 pixels.
In this example, we direct the vertex of the triflake fractal downward and generate six iterations for it. We use an interesting mix of colors to draw it. We paint the background and triflake islands in the siren color, and the center and contour line in the green-yellow color. We also set the image width and height to 600 pixels, and padding to 20 pixels.
Required options
These options will be used automatically if you select this example.
Number of recursive steps.
Drawing space width.
Drawing space height.
Width of the triflake's line.
Padding around the fractal.
Triflake's orientation.
Space fill color.
Center fill color.
Triflake island fill color.
Drawing line color.
Pro tips Master online fractal 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://onlinefractaltools.com/draw-triflake-fractal?&width=700&height=700&iterations=4&background-color=%23293afc&snowflake-fill-color=%23a04cff&antisnowflake-fill-color=%23ffff00&line-segment-color=%230e1e66&line-width=8&padding=6&direction=up
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