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Spiral of Theodorus
In geometry, the spiral of Theodorus (also called ''square root spiral'', ''Einstein spiral'' or ''Pythagorean spiral'')〔. Also, this was used to visualize certain things in nature
〕 is a spiral composed of contiguous right triangles. It was first constructed by Theodorus of Cyrene.
==Construction==
The spiral is started with an isosceles right triangle, with each leg having unit length. Another right triangle is formed, an automedian right triangle with one leg being the hypotenuse of the prior triangle (with length √2) and the other leg having length of 1; the length of the hypotenuse of this second triangle is √3. The process then repeats; the ''i'' th triangle in the sequence is a right triangle with side lengths √''i'' and 1, and with hypotenuse . For example, the 16th triangle has sides measuring 4 (=), 1 and hypotenuse of .
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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