The Chen-Gackstatter Thayer Surfaces

History
. . . Described by Chen and Gackstatter (not embedded). Modelling of generalized surfaces by Ed Thayer.

Characteristics
. . .
Integer Parameters j >= 0, k >= 2
Real Parameters none
Genus * j*(k - 1)
Ends * enneper, winding order k - 1
Total Curvature -j*(k - 1)*4*pi
Symmetries * k*M, 1*R.k, 2(1-j%2)*I, (j%2)(k%2)*P

Related Surfaces
. . .
RelationshipConditionSurfaces
subsetj == 0, k == 2Enneper's Surface
subsetj == 0Generalized Enneper's Surfaces
limitj == infinityScherk's Second Surface

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

Examples
. . . (For VRML models, See Generation Methods, above.)
winding order 3
winding order 9