T-Square_(fractal) T-Square_(fractal)

T-Square (fractal) - Definition and Overview

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:

  1. Image 1:
    1. Start with a square.
    2. Subtract a square half the original length and width (one-quarter the area) from the center.
  2. Image 2:
    1. Start with the previous image.
    2. Scale down a copy to one-half the original length and width.
    3. The previous image's square has four equal quadrants. From each of the quadrants, subtract the copy of the image.
  3. Images 3-6:
    1. Repeat step 2.
T-Square.

The method of creation is rather similar to the ones used to create a von Koch curve or a Sierpinski triangle.

See also:

Example Usage of (fractal)

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valdiskrebs: Is this a cool web site, or what? http://www.kraftwerk.com Simple, elegant, uses their own content 2 sell their content: fractal marketing!
dgl_fractal_art: I just want to thank all of the fans and followers of "digitalgreenlife fractal art" and @dgl_fractal_art. I truly... http://bit.ly/1URZGE
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