-
investigated regular skew
apeirohedra in
hyperbolic 3-space with
Petrie and
Coxeters definition,
discovering 31
regular skew
apeirohedra with
compact or paracompact...
-
regular apeirohedra in
Euclidean 3-space.
These include 12
apeirhedra created by
blends with the
Euclidean apeirohedra, and 12 pure
apeirohedra, including...
-
extend indefinitely without folding round to form a
closed surface. Skew
apeirohedra have also been
called polyhedral sponges. Many are
directly related to...
- in
pairs along edges. The
apeirohedra form a
related class of
objects with
infinitely many faces.
Examples of
apeirohedra include:
tilings or tessellations...
- and may be
either left- or right-handed.
There are
three regular skew
apeirohedra,
which look
rather like
polyhedral sponges: 6
squares around each vertex...
- The tetrahedral-octahedral honeycomb,
alternated cubic honeycomb is a
quasiregular space-filling
tessellation (or honeycomb) in
Euclidean 3-space. It is...
-
permutation representation on 22 points.
There are also 22
regular complex apeirohedra. 22 is the
atomic number of titanium. 22 is the
number of proteinogenic...
- {∞}#{p/q} or { p 0 , q } {\displaystyle \left\{{\dfrac {p}{0,q}}\right\}} .
Apeirohedra are the rank 3
analogues of apeirogons, and are the
infinite analogues...
- Todd–Coxeter algorithm* Tutte–Coxeter
graph LCF
notation Regular skew
apeirohedra Spouse(s) Hendrina, died in 1999
Children a daughter,
Susan Thomas, and...
- A
regular polyhedron is a
polyhedron whose symmetry group acts
transitively on its flags. A
regular polyhedron is
highly symmetrical,
being all of edge-transitive...
