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The Spiral of Theodorus

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number of triangles
16
triangle opacity
0.8
show lengths
show hypotenuse
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.

Details

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

Permanent Citation

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