Definition of Orthotope. Meaning of Orthotope. Synonyms of Orthotope

Here you will find one or more explanations in English for the word Orthotope. Also in the bottom left of the page several parts of wikipedia pages related to the word Orthotope and, of course, Orthotope synonyms and on the right images related to the word Orthotope.

Definition of Orthotope

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Meaning of Orthotope from wikipedia

- In geometry, an orthotope (also called a hyperrectangle or a box) is the generalization of a rectangle to higher dimensions. It is formally defined as...
- The hypercube is the special case of a hyperrectangle (also called an n-orthotope). A unit hypercube is a hypercube whose side has length one unit. Often...
- by a composite Schläfli symbol {4}×{4}, with symmetry order 64. As an orthotope it can be represented by composite Schläfli symbol { } × { } × { } × { }...
- Rectangle Rectangle Type quadrilateral, parallelogram, orthotope Edges and vertices 4 Schläfli symbol { } × { } Coxeter diagram Symmetry group Dihedral...
- represented by s{2,4,3}, and Coxeter diagram: . It can also be seen as a snub 4-orthotope, represented by s{21,1,1}, and Coxeter diagram: or . With the tesseract...
- n-dimensions which can be constructed with one vertex in each orthant space. Orthotope - Generalization of a rectangle in n-dimensions, with one vertex in each...
- I2(2p)×A12×4 [[p]],2,[[2]] = [2p,2,4] = 32p A1×A1×A1×A1 [2,2,2] 16 4-orthotope A12×A1×A1×2 [[2],2,2] = [4,2,2] = 32 A12×A12×4 [[2]],2,[[2]] = [4,2,4]...
- lengths. The facets are hyperrectangles, also called orthotopes; in 2 and 3 dimensions the orthotopes are rectangles and cuboids respectively. Alternated...
- Coxeter-Dynkin diagrams of three constructive forms: ... (As an alternated orthotope) s{21,1,...,1} ... (As an alternated hypercube) h{4,3n−1} .... (As a demihypercube)...
- polytope/4-regular orthotope Rectified 4-hypercube/8-cell/octachoron/4-measure polytope/4-regular orthotope H.S.M. Coxeter: H.S.M. Coxeter...
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