Discovered in 1983, the Jorge and Meeks -noids are complete minimal surfaces of finite total curvature, topologically equivalent to spheres with points removed, positioned with -fold symmetry. The 2-noid is effectively a catenoid and the 3-noid is also known as the trinoid; the -noids are generalizations of the catenoid.
 L. P. Jorge and W. H. Meeks III, "The Topology of Complete Minimal Surfaces of Finite Total Gaussian Curvature," Topology, 22(2), 1983 pp. 203–221.
 M. Weber. "Jorge-Meeks k-Noids." Minimal Surface Archive. (Sep 2013) www.indiana.edu/~minimal/archive/Spheres/Noids/Jorge-Meeks/web/index.html.
 H. Karcher, "Construction of Minimal Surfaces," presentation given at Surveys in Geometry (1989), University of Tokyo, 1989. www.math.uni-bonn.de/people/karcher/karcherTokyo.pdf.
 U. Dierkes, S. Hildebrandt, and F. Sauvigny, Minimal Surfaces, 2nd ed., New York: Springer, 2010.
Wolfram Demonstrations Project
Published: June 30 2014