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About: Richmond surface     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:Whole100003553, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)

Type: yago:WikicatMinimalSurfacesyago:Artifact100021939yago:Object100002684yago:PhysicalEntity100001930yago:Surface104362025yago:Whole100003553 New Facet based on Instances of this Class

In differential geometry, a Richmond surface is a minimal surface first described by Herbert William Richmond in 1904. It is a family of surfaces with one planar end and one Enneper surface-like self-intersecting end. It has Weierstrass–Enneper parameterization . This allows a parametrization based on a complex parameter as The associate family of the surface is just the surface rotated around the z-axis. Taking m = 2 a real parametric expression becomes: