Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
simple lattice polygons
|
| gptkbp:countryOfOrigin |
gptkb:Austria
|
| gptkbp:field |
gptkb:geometry
lattice point geometry |
| gptkbp:formedBy |
1899
|
| https://www.w3.org/2000/01/rdf-schema#label |
Pick's Theorem
|
| gptkbp:namedAfter |
gptkb:Georg_Alexander_Pick
|
| gptkbp:publisher |
Georg Pick, 1899, Sitzungber. Lotos (Prague)
|
| gptkbp:relatedTo |
gptkb:Ehrhart_polynomial
lattice point enumeration polygon area calculation |
| gptkbp:sentence |
The area of a simple lattice polygon equals I + B/2 - 1, where I is the number of interior lattice points and B is the number of boundary lattice points.
|
| gptkbp:usedIn |
gptkb:combinatorial_geometry
discrete geometry |
| gptkbp:bfsParent |
gptkb:Georg_Pick
|
| gptkbp:bfsLayer |
5
|