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Simplicity


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 m_1, m_2, n_1, n_2, and n_3, respectively, then the simplicity is m_1+m_2+n_1+n_2+n_3 and the symbol m_1S_1+m_2S_2+n_1C_1+n_2C_2+n_3C_3. It is apparently an unsolved problem to determine if a given geometric construction is of smallest possible simplicity.


See also

Geometric Construction, Geometrography

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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.

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Simplicity

Cite this as:

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

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