Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
surface
minimal surface complete minimal surface non-planar minimal surface |
| gptkbp:canBeEmbeddedIn |
Euclidean 3-space
|
| gptkbp:category |
complex analysis
differential geometry |
| gptkbp:dimensions |
2
|
| gptkbp:discoveredIn |
1864
|
| gptkbp:GaussianCurvature |
negative except at origin
|
| gptkbp:hasDataVisualization |
yes
|
| https://www.w3.org/2000/01/rdf-schema#label |
Enneper surface
|
| gptkbp:meanCurvature |
0
|
| gptkbp:namedAfter |
gptkb:Alfred_Enneper
|
| gptkbp:parameter |
x(u,v) = u - (u^3)/3 + u v^2
y(u,v) = v - (v^3)/3 + v u^2 z(u,v) = u^2 - v^2 |
| gptkbp:relatedTo |
gptkb:Weierstrass–Enneper_parameterization
minimal surface theory |
| gptkbp:selfIntersection |
yes
|
| gptkbp:symmetry |
rotational symmetry of order 2
|
| gptkbp:bfsParent |
gptkb:Weierstrass–Enneper_parameterization
|
| gptkbp:bfsLayer |
6
|