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H-fractal generator

World's simplest math tool

Free online H-fractal generator. Just press a button and you'll get an H-fractal. There are no ads, popups or nonsense, just an awesome H-tree generator. Press a button – get an H-tree. Created by mathematicians for mathematicians.
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Iterations and H-tree Size
How many times to repeatedly draw H-letters at different sizes?
H-tree width.
H-tree height.
H-Fractal Colors
H-tree background color.
Color of the H characters.
Padding, Thickness and Direction
Thickness of H characters.
How much space in pixels to leave around entire H-tree?
Draw H characters horizontally or vertically?
H-fractal generator tool What is a h-fractal generator?
The H-fractal is a self-similar fractal, which is constructed from the letter H. When the number of iterations is increased, on each of the four ends of letters a smaller letter H is added. Thus, a fractal is generated from perpendicular lines. You can stretch or squeeze the image by selecting the appropriate canvas dimensions. You can choose a color for perpendicular lines, and set the color of the canvas for a better contrast. You can change the thickness of the curve, and increase the fractal retreat to the center. And, finally, you can draw an inverted H, selecting the vertical direction in the options. Mathabulous!
H-fractal generator examples Click to use
Generate a Horizontal H-Fractal
This example draws wide and thick H letters on a canvas measuring 700 by 400 pixels. Here 3 iterations are performed and the H letter thickness is set to 10 pixels.
Required options
These options will be used automatically if you select this example.
How many times to repeatedly draw H-letters at different sizes?
H-tree width.
H-tree height.
H-tree background color.
Color of the H characters.
Thickness of H characters.
How much space in pixels to leave around entire H-tree?
Draw H characters horizontally or vertically?
Draw a Vertical H-Tree
In this example we generate a vertical H-tree. Each H letter is rotated by 90 degrees. We squeezed the canvas vertically and painted it in Harvard-red color.
Required options
These options will be used automatically if you select this example.
How many times to repeatedly draw H-letters at different sizes?
H-tree width.
H-tree height.
H-tree background color.
Color of the H characters.
Thickness of H characters.
How much space in pixels to leave around entire H-tree?
Draw H characters horizontally or vertically?
Generate a 5th Order H-Fractal
This example shows a fractal at 5 iterations, so there are five different sizes for the letter H. At each step, the letters decrease in size by square root of 2 and the lines that create letters H never. If we continued at higher order, we'd fill entire 600x550 rectangle.
Required options
These options will be used automatically if you select this example.
How many times to repeatedly draw H-letters at different sizes?
H-tree width.
H-tree height.
H-tree background color.
Color of the H characters.
Thickness of H characters.
How much space in pixels to leave around entire H-tree?
Draw H characters horizontally or vertically?
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-h-fractal?&width=700&height=400&iterations=3&background-color=%23011c47&line-segment-color=%23fdd7ff&line-width=10&padding=15&direction=horizontal
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