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.
Simplicity
See also
Geometric Construction, GeometrographyExplore with Wolfram|Alpha
References
DeTemple, 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.Referenced on Wolfram|Alpha
SimplicityCite this as:
Weisstein, Eric W. "Simplicity." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Simplicity.html