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Whirl

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Whirls are figures constructed by nesting a sequence of polygons (each having the same number of sides), each slightly smaller and rotated relative to the previous one. The vertices give the path of the n mice in the mice problem, and form n logarithmic spirals.

The square whirl appears on the cover of Freund (1993).

See also

Daisy, Derived Polygon, Logarithmic Spiral, Mice Problem, Nested Polygon, Swirl

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References

Freund, J. E. Introduction to Probability. New York: Dover, 1993.Kabai, S. Mathematical Graphics I: Lessons in Computer Graphics Using Mathematica. Püspökladány, Hungary: Uniconstant, p. 75, 2002.Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press, p. 66, 1991.Pappas, T. "Spider & Spirals." The Joy of Mathematics. San Carlos, CA: Wide World Publ./Tetra, p. 228, 1989.Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, pp. 201-202, 1991.

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Whirl

Cite this as:

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

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