Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Reeve_tetrahedron> ?p ?o. }
Showing items 1 to 15 of
15
with 100 items per page.
- Reeve_tetrahedron abstract "In geometry, the Reeve tetrahedron is a polyhedron, named after John Reeve, in R3 with vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0) and (1, 1, r) where r is a positive integer. Each vertex lies on a fundamental lattice point (a point in Z3). No other fundamental lattice points lie on the surface or in the interior of the tetrahedron. In 1957 Reeve used this tetrahedron as a counterexample to show that there is no simple equivalent of Pick's theorem in R3 or higher-dimensional spaces. This is seen by noticing that Reeve tetrahedra have the same number of interior and boundary points for any value of r, but different volumes.".
- Reeve_tetrahedron wikiPageID "20439557".
- Reeve_tetrahedron wikiPageRevisionID "456211069".
- Reeve_tetrahedron hasPhotoCollection Reeve_tetrahedron.
- Reeve_tetrahedron subject Category:Digital_geometry.
- Reeve_tetrahedron subject Category:Lattice_points.
- Reeve_tetrahedron comment "In geometry, the Reeve tetrahedron is a polyhedron, named after John Reeve, in R3 with vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0) and (1, 1, r) where r is a positive integer. Each vertex lies on a fundamental lattice point (a point in Z3). No other fundamental lattice points lie on the surface or in the interior of the tetrahedron. In 1957 Reeve used this tetrahedron as a counterexample to show that there is no simple equivalent of Pick's theorem in R3 or higher-dimensional spaces.".
- Reeve_tetrahedron label "Reeve tetrahedron".
- Reeve_tetrahedron label "Tetraedro de Reeve".
- Reeve_tetrahedron sameAs Tetraedro_de_Reeve.
- Reeve_tetrahedron sameAs m.04zw50f.
- Reeve_tetrahedron sameAs Q7307047.
- Reeve_tetrahedron sameAs Q7307047.
- Reeve_tetrahedron wasDerivedFrom Reeve_tetrahedron?oldid=456211069.
- Reeve_tetrahedron isPrimaryTopicOf Reeve_tetrahedron.