"Trinoid" redirects here. For the entities from the television show Bakuryū Sentai Abaranger, see
Wicked Lifeforms Evolien § Trinoids
.
In differential geometry, a k-noid is a minimal surface with kcatenoid openings. In particular, the 3-noid is often called trinoid. The first k-noid minimal surfaces were described by Jorge and Meeks in 1983.[1]
The term k-noid and trinoid is also sometimes used for
constant mean curvature surfaces, especially branched versions of the unduloid ("triunduloids").[2]
k-noids are topologically equivalent to k-punctured spheres (spheres with k points removed). k-noids with symmetric openings can be generated using the Weierstrass–Enneper parameterization.[3] This produces the explicit formula