Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
surface |
| gptkbp:category |
gptkb:geometry
gptkb:topology |
| gptkbp:dimensions |
2
|
| gptkbp:discoveredBy |
gptkb:August_Ferdinand_Möbius
gptkb:Johann_Benedict_Listing |
| gptkbp:discoveredIn |
1858
|
| gptkbp:embeddingSpace |
gptkb:3-dimensional_Euclidean_space
|
| gptkbp:Euler_characteristic |
0
|
| gptkbp:hasEquation |
(x, y, z) = ((1 + v/2 cos(u/2)) cos u, (1 + v/2 cos(u/2)) sin u, v/2 sin(u/2))
|
| gptkbp:hasProperty |
non-orientable
one-sided single boundary |
| https://www.w3.org/2000/01/rdf-schema#label |
Moebius strip
|
| gptkbp:namedAfter |
gptkb:August_Ferdinand_Möbius
|
| gptkbp:parametricVariable |
u in [0, 2π]
v in [-1, 1] |
| gptkbp:relatedTo |
gptkb:Klein_bottle
projective plane strip of paper with a half-twist |
| gptkbp:symbolizes |
gptkb:paradox
infinity |
| gptkbp:topologicalGenus |
0
|
| gptkbp:usedIn |
gptkb:art
gptkb:mathematics engineering physics |
| gptkbp:bfsParent |
gptkb:CW-complex
|
| gptkbp:bfsLayer |
8
|