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The number of operations needed to effect a Geometric Construction as determined in Geometrography. If the
number of operations of the five Geometrographic types are denoted ,
,
,
, and
, respectively, then the simplicity is
and the symbol
. It is
apparently an unsolved problem to determine if a given Geometric Construction is of smallest possible simplicity.
See also Geometric Construction, Geometrography
References
De Temple, D. W. ``Carlyle Circles and the Lemoine Simplicity of Polygonal Constructions.'' Amer. Math. Monthly
98, 97-108, 1991.
Eves, H. An Introduction to the History of Mathematics, 6th ed. New York: Holt, Rinehart, and Winston, 1976.