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Quadratic cross curve generator

World's simplest math tool

Free online quadratic cross fractal generator. Just press a button and you'll get a quadric cross curve. There are no ads, popups or nonsense, just an awesome quadric cross generator. Press a button – get a quadratic cross. Created by mathematicians for mathematicians.
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Cross Size and Iterations
Cross width.
Cross height.
How many times to expand the fractal on every leg of the cross? (Iterations.)
Quadratic Cross Colors
Background color of the quadric cross.
Color of the cross contour.
Fill color of the quadric cross.
Cross Line Width and Padding
Thickness of the cross contour line.
Space between tips of fractal legs and the edge of the image.
Quadratic cross curve generator tool What is a quadratic cross curve generator?
This tool draws quadratic cross fractals. The quadric cross fractal is similar to Vicsek fractal in the cross form. The drawing of the curve begins from a cross. Then with every iterative steps on each leg of the cross three squares are added and simultaneously each leg is extended. In this tool you can explore the behavior of the quadratic fractal for any number of iterations. As iterations incrase the new fractal features get smaller and smaller so you can adjust the width and height of the output fractal. The larger the dimensions of the fractal, the more clearly all elements will be visible. You can also choose the color for the cross, for the background, and for the border around the cross. If border's size is zero then only two colors will be used to draw the quadric fractal. One last option that we have is space between the legs of the cross and the edge of the image. Mathabulous!
Quadratic cross curve generator examples Click to use
Draw a Quadratic Cross Curve with a Contour
This example generates a green quadratic cross, with a black contour on a lemon-yellow background. There are 3 recursive quadratic expansions on a canvas of size 400 by 400 pixels.
Required options
These options will be used automatically if you select this example.
Cross width.
Cross height.
How many times to expand the fractal on every leg of the cross? (Iterations.)
Background color of the quadric cross.
Color of the cross contour.
Fill color of the quadric cross.
Thickness of the cross contour line.
Space between tips of fractal legs and the edge of the image.
Generate a Narrow Quadric Cross Fractal
In this example, the quadric cross has vertical legs longer than horizontal because the size of the fractal is set to 400x450px. It uses 5 iterative steps, padding is set to 15 pixels and cross's border to 0px.
Required options
These options will be used automatically if you select this example.
Cross width.
Cross height.
How many times to expand the fractal on every leg of the cross? (Iterations.)
Background color of the quadric cross.
Color of the cross contour.
Fill color of the quadric cross.
Thickness of the cross contour line.
Space between tips of fractal legs and the edge of the image.
Draw an 8th-order Quadratic Cross Curve
This example draws a fractal using 8 iterations. We set the line thickness to zero, so the cross is painted in two colors – blue for the background, and black for the cross.
Required options
These options will be used automatically if you select this example.
Cross width.
Cross height.
How many times to expand the fractal on every leg of the cross? (Iterations.)
Background color of the quadric cross.
Color of the cross contour.
Fill color of the quadric cross.
Thickness of the cross contour line.
Space between tips of fractal legs and the edge of the image.
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-quadratic-cross-fractal?&width=400&height=400&iterations=3&background-color=%23fffc4e&line-segment-color=black&fill-color=%23058f03&line-width=5&padding=10
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