Fractal tessellations from proofs of the Pythagorean theorem

Reference

Mitchell, L.: Fractal tessellations from proofs of the Pythagorean theorem. In: Bridges Proceedings 2004, pp. 335–336 (2004).

DOI

Abstract

The Pythagorean theorem can be proven geometrically through the use of dissections of squares and triangles. Four of these decompositions are paired into two compound dissections, which are used to create novel images.

Extended Abstract

Bibtex

Used References

[1] E. W. Weisstein. “Pythagorean Theorem,” http://mathworld.wolfram.com/PythagoreanTheorem.html, 1999.

[2] A. Bogomolny, “Pythagorean Theorem,” http://www.cut-the-knot.org/pythagoras/index.shtml, 1996.

[3] Slijkerman, F., “Ultra Fractal,” http://www.ultrafractal.com, 1997.

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http://www.dankalia.com/science/mat009.pdf

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