Sanakirja
Tekoälykääntäjä
Kuvat
3
| Kieli | Käännökset |
|---|---|
| espanja | politopo |
| esperanto | hiperpluredro |
| italia | politopo |
| japani | ポリトープ (poritōpu) |
| portugali | politopo |
| puola | wielotop |
| ranska | polytope |
| ruotsi | polytop |
| saksa | Polytop |
| venäjä | полиэдр (poliedr), политоп (politop) |
Määritelmät
Substantiivi
- (geometry) A geometric shape (of any number of dimensions) which is fully enclosed and has flat sides, making it a member of the generalized class of shapes which includes the two-dimensional polygon and three-dimensional polyhedron; (formally) a finite region of ''n''-dimensional space bounded by hyperplanes.
Esimerkit
- As is well known, the theory of linear inequalities is closely related to the study of convex polytopes.
- This polytope is mapped into a Cartesian force polytope (resp. torque polytope) in the Cartesian space. Such a polytope represents the exact force (resp. torque) that can be produced on the vehicle main body.
- Verify the Hirsch conjecture for the 3-cube, 4-cube and any other polytope that takes your fancy.
- The Steinitz theorem is a very satisfactory understanding of the graphs of three-dimensional polytopes.
Taivutusmuodot
| Monikko | polytopes |
(geometry) A geometric shape (of any number of dimensions) which is fully enclosed and has flat sides, making it a member of the generalized class of shapes which includes the two-dimensional polygon and three-dimensional polyhedron; (formally) a finite region of ''n''-dimensional space bounded by hyperplanes.
A 3-dimensional Stasheff polytope
(geometry) A geometric shape (of any number of dimensions) which is fully enclosed and has flat sides, making it a member of the generalized class of shapes which includes the two-dimensional polygon and three-dimensional polyhedron; (formally) a finite region of ''n''-dimensional space bounded by hyperplanes.
A polygon is a 2-dimensional polytope. Polygons can be characterised according to various criteria. Some examples are: open (excluding its boundary), bounding circuit only (ignoring its interior), closed (including both its boundary and its interior), and self-intersecting with varying densities of different regions.
(geometry) A geometric shape (of any number of dimensions) which is fully enclosed and has flat sides, making it a member of the generalized class of shapes which includes the two-dimensional polygon and three-dimensional polyhedron; (formally) a finite region of ''n''-dimensional space bounded by hyperplanes.
The 5-cell (4-simplex) is self-dual with 5 vertices and 5 tetrahedral cells.