iperrettangolo
Sign in to saveAlso known as box, n-orthotope
thumb|Projections of k-cells onto the plane (from k\in\{1,\dots{},6\}). Only the edges of the higher-dimensional cells are shown. In geometry, a hyperrectangle (also called a box, hyperbox, k-cell or orthotope), is the generalization of a rectangle (a plane figure) and the rectangular cuboid (a solid figure) to higher dimensions. A necessary and sufficient condition is that it is congruent to the Cartesian product of finite intervals. This means that a k-dimensional rectangular solid has each of its edges equal to one of the closed intervals used in the definition. Every k-cell is compact.
Key facts
- Polyhedron.name
- -fusil
- Polyhedron.image
- File:Rhombic 3-orthoplex.svg
- Polyhedron.caption
- Example: 3-fusil
- Polyhedron.type
- Prism
- Polyhedron.schläfli
- {{math|1={}+{}+···+{} = {} }}
- Polyhedron.coxeter
- ...
- Polyhedron.symmetry
- , order
- Polyhedron.dual
- -orthotope
- Polyhedron.properties
- convex, isotopal
via Wikipedia infobox
Article · Italiano
In geometria, un iperrettangolo è una forma geometrica immersa in quattro o più dimensioni che generalizza il concetto di rettangolo. Formalmente, è definito come un prodotto cartesiano di intervalli. Nel caso particolare in cui gli intervalli siano tutti congruenti, l'iperrettangolo si dice ipercubo.
Abstract from DBpedia / Wikipedia · CC BY-SA