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.

**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.

© 1996-9

1999-05-26