The Spiral of Theodorus

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The spiral of Theodorus is a spiral constructed from a contiguous sequence of right-angled triangles. Each triangle in the sequence has height 1 and a base constructed from the hypotenuse of the previous triangle. The sequence starts with the unit-length isosceles triangle. It was first constructed by Theodorus of Cyrene and is also called square root spiral, Einstein spiral, or Pythagorean spiral.

Contributed by: Simon Tyler (August 2011)
Open content licensed under CC BY-NC-SA


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For the history of the spiral and more complete list of known properties, see Spiral of Theodorus.



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