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The T-Square is a fractal curve of infinite length inside finite area.
T-Square_fractal_(evolution).gif T-Square, evolution i six steps.
It can be generated from using this algorithm:
- Image 1:
- Start with a square.
- Subtract a square half the original length and width (one-quarter the area) from the center.
- Image 2:
- Start with the previous image.
- Scale down a copy to one-half the original length and width.
- The previous image's square has four equal quadrants. From each of the quadrants, subtract the copy of the image.
- Images 3-6:
- Repeat step 2.
The method of creation is rather similar to the ones used to create a von Koch curve or a Sierpinski triangle.
See also:
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