- In geometry, a
hypercube is an n-dimensional
analogue of a
square (n = 2) and a cube (n = 3); the
special case for n = 4 is
known as a tesseract. It is...
- skew and inverse-skew
factors and uses a
stretched hypercubic honeycomb. The
stretched hypercubic honeycomb becomes a
simplicial honeycomb after subdivision...
- In geometry, a
hypercubic honeycomb is a
family of
regular honeycombs (tessellations) in n-dimensional
spaces with the Schläfli
symbols {4,3...3,4} and...
-
volume of the
overlapping objects For
thresholds on high
dimensional hypercubic lattices, we have the
asymptotic series expansions p c s i t e ( d ) =...
- In geometry, the
quarter hypercubic honeycomb (or
quarter n-cubic honeycomb) is a
dimensional infinite series of honeycombs,
based on the
hypercube honeycomb...
- In four-dimensional geometry, the 24-cell is the
convex regular 4-polytope (four-dimensional
analogue of a
Platonic solid) with Schläfli
symbol {3,4,3}...
-
family of
uniform honeycombs called alternated hypercubic honeycombs,
formed as an
alternation of a
hypercubic honeycomb and
being composed of demihypercube...
- Usually,
simplicial adjacency is much
stronger than
hypercubic adjacency; accordingly,
hypercubic DP is much
stronger than
simplicial DP.
Specific definitions...
-
Uniform 2k1
polytope Uniform k21
polytope Honeycombs Hypercubic honeycomb Alternated hypercubic honeycomb Triangle Automedian triangle Delaunay triangulation...
- and the
cubic honeycomb, {4,3,4}, of 3-space.
These are all part of the
hypercubic honeycomb family of
tessellations of the form {4,3,...,3,4}. Tessellations...
