TOPICS
Search

Spirolateral

A figure formed by taking a series of steps of length 1, 2, ..., n, with an angle theta turn after each step. The symbol for a spirolateral is ^(a_1,...,a_k)n_theta, where the a_is indicate that turns are in the -theta direction for these steps.

Spirolateral2-60
Spirolateral3-36
Spirolateral3-45
Spirolateral3-72
Spirolateral3-108
Spirolateral-90
Spirolateral9-90-6

See also

Logo, Maurer Rose, Paterson's Worms, Spirograph, Turtle Geometry

Explore with Wolfram|Alpha

References

Gardner, M. "Mathematical Games: Fantastic Patterns Traced by Programmed 'Worms.' " Sci. Amer. 229, 116-123, Nov 1973.Gardner, M. "Worm Paths." Ch. 17 in Knotted Doughnuts and Other Mathematical Entertainments. New York: W. H. Freeman, pp. 205-221, 1986.Hall, L. "Trochoids, Roses, and Thorns--Beyond the Spirograph." College Math. J. 23, 20-35, 1992.Odds, F. C. "Spirolaterals." Math. Teacher 66, 121-124, 1973.Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, pp. 239-241, 1991. Wolfram Research, Inc. "Spirographs with Mathematica." http://library.wolfram.com/infocenter/Demos/129/.

Referenced on Wolfram|Alpha

Spirolateral

Cite this as:

Weisstein, Eric W. "Spirolateral." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Spirolateral.html

Subject classifications