The Four-End-Handled Surface Family

History
. . . Discovered subsequent to the four-ended surface family

Characteristics
. . .
Integer Parameters k >= 2
Real Parameters none
Genus * (k - 1)*3
Ends * 4 catenoidal
Total Curvature
Symmetries * (k+1)*M, 1*R.k, (2-k%2)*R.2

Related Surfaces
. . .
RelationshipConditionSurfaces
handle minusany kFour-Ended Surface Family

Generation Methods
. . .
Weierstrass Methods
Mesh ClientParameter Values
fourendh
Plateau Methods
Evolver Datasets

Examples
. . . (For VRML models, See Generation Methods, above.)
Rotation About Z Axis