Theodorus Spiral | Spirals - Wolfram Mathematica

The Theodorus spiral is a discrete spiral formed by connecting the ends of radial spokes corresponding to the hypotenuses ofa sequence of adjoining right triangles. 

Theodorus Spiral

 

The initial spoke is of length , the next spoke is of length , etc., and each segment of the spiral (corresponding to the outer leg of a triangle) has unit length. It is also known as the square root spiral, Einstein spiral, Pythagorean spiral, or--to contrast it with certain continuous analogs--the discrete spiral of Theodorus.

font-weight: 400; letter-spacing: normal; text-align: left; text-decoration-color: initial; text-decoration-style: initial; text-decoration-thickness: initial; text-indent: 0px; text-transform: none; white-space: normal; word-spacing: 0px;">The slope of a continuous analog of the discrete Theodorus spiral due to Davis (1993) at the point  is sometimes known as Theodorus's constant.

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Source: Wolfram Mathematica