The Spiral of Theodorus

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.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

DETAILS

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

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.







Related Curriculum Standards

US Common Core State Standards, Mathematics