Bill Picture


A Bill picture is a sequence of nested regular polygons in which subsequent polygons are each rotated so that they begin one vertex further. The term was coined by Trott (2004, pp. 88-89) and commemorates Swiss artist Max Bill, who in 1938 created a picture showing a similar arrangement of the equilateral triangle through octagon (Huttingerr 1978, Bill 1987).


The figure above shows the Bill picture including regular polygons up through the regular dodecagon.

See also

Regular Polygon

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Bill, M. Retrospektive, Skulpturen, Gemälde, Graphik 1928-1987. Zürich, Switzerland: ABC-Verlag, 1987.Hüttingerr, E. (Ed.). Max Bill. Zürich, Switzerland: ABC-Verlag, 1978.Trott, M. The Mathematica GuideBook for Graphics. New York: Springer-Verlag, 2004.

Referenced on Wolfram|Alpha

Bill Picture

Cite this as:

Weisstein, Eric W. "Bill Picture." From MathWorld--A Wolfram Web Resource.

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