-
hyperrectangle (also
called a box, hyperbox, k {\displaystyle k} -cell or
orthotope), is the
generalization of a
rectangle (a
plane figure) and the rectangular...
- 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...
- 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...
-
constructed as prisms. The 5-cube has 7
prismatic forms from the
lowest 5-
orthotope, { }5, and
upwards as
orthogonal edges are
constrained to be of equal...
-
Rectangle Rectangle Type quadrilateral, trapezium, parallelogram,
orthotope Edges and
vertices 4 Schläfli
symbol { } × { } Coxeter–Dynkin
diagrams Symmetry...
- by a
composite Schläfli
symbol {4}×{4}, with
symmetry order 64. As an
orthotope it can be
represented by
composite Schläfli
symbol { } × { } × { } × { }...
- 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]...
- 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)...
-
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...
- with the D5 or [32,1,1]
Coxeter group, and the
final one as a dual 5-
orthotope,
called a 5-fusil
which can have a
variety of subsymmetries. This polytope...
