65537-gon

65537 is the largest known Fermat Prime, and the 65537-gon is therefore a Constructible Polygon usingGauß. The 65537-gon has so many sides that itis, for all intents and purposes, indistinguishable from a Circle using any reasonable printing or display methods.Hermes spent 10 years on the construction of the 65537-gon at Göttingen around 1900 (Coxeter 1969). De Temple (1991)notes that a Geometric Construction can be done using 1332 or fewer Carlyle Circles.

References

Coxeter, H. S. M. Introduction to Geometry, 2nd ed. New York: Wiley, 1969.

De Temple, D. W. ``Carlyle Circles and the Lemoine Simplicity of Polygonal Constructions.'' Amer. Math. Monthly 98, 97-108, 1991.

Dixon, R. Mathographics. New York: Dover, p. 53, 1991.

• Rigid
• Rigidity Theorem
• Rigid Motion
• Ring
• Ring Cyclide
• Ring Function
• Ringoid
• Ring Torus
• Risch Algorithm
• Rising Factorial
• Rivest-Shamir-Adleman Number
• RMS
• r(n)
• Robbin Constant
• Robbins Algebra
• Robbins Equation
• Robbin's Inequality
• Robertson Condition
• Robertson Conjecture
• Robertson-Seymour Theorem
• Robin Boundary Conditions
• Robin's Constant
• Robinson Projection
• Robust Estimation
• Rodrigues Formula