WHEEL OF THEODORUS

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  • Theodorus of Cyrene, who lived around 425 B.C., was a philosopher of ancient Greece. It is said that he discovered the construction below, which is therefore called " the wheel of Theodorus ".
  • Also called as spiral of Theodorus, square root spiral, Einstein spiral or Pythagorean spiral.
  • The spiral is started with an isosceles right triangle with base and height of unit ( equal to 1 ) length and the hypotenuse obtained is √2. The hypotenuse of second triangle is √3 and the third triangle hypotenuse is √4 and so on.
  • Each triangle is formed using the hypotenuse of previous triangle.
  • The 16th triangle has hypotenuse eqal to √17.
  • Theodorus stopped at √17 because it the hypotenuse of last triangle that does not overlap the figure.

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