Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:Polygon |
| gptkbp:constructedAs |
convex hull of n points on the moment curve
|
| gptkbp:definedIn |
convex geometry
|
| gptkbp:dimensions |
d-dimensional
|
| gptkbp:facetCount |
maximal for given n and d
|
| gptkbp:facetStructure |
determined by Gale's evenness criterion
|
| https://www.w3.org/2000/01/rdf-schema#label |
cyclic polytope
|
| gptkbp:introduced |
gptkb:Theodore_Motzkin
|
| gptkbp:introducedIn |
1957
|
| gptkbp:momentCurveEquation |
(t, t^2, ..., t^d)
|
| gptkbp:property |
maximizes number of faces for given dimension and vertices
neighborly |
| gptkbp:relatedTo |
gptkb:neighborly_polytope
convex hull moment curve |
| gptkbp:usedIn |
upper bound theorem
|
| gptkbp:vertices |
n
|
| gptkbp:bfsParent |
gptkb:Upper_Bound_Theorem
gptkb:simplicial_polytope |
| gptkbp:bfsLayer |
7
|