- In geometry, a
zonogon is a centrally-symmetric,
convex polygon. Equivalently, it is a
convex polygon whose sides can be
grouped into
parallel pairs with...
- symmetric,
every face of
which is a
polygon that is
centrally symmetric (a
zonogon). Any
zonohedron may
equivalently be
described as the
Minkowski sum of...
-
lattice is the
honeycomb tessellation of hexagons.
Coxeter states that
every zonogon (a 2m-gon
whose opposite sides are
parallel and of
equal length) can be...
- parallelogon,
generalisation encomp****ing
hexagons as well as
quadrilaterals zonogon,
generalisation to
polygons with any even
number of
sides Antiparallelogram...
- side
length 2 are: (±1, ±(1+√2)) (±(1+√2), ±1).
Coxeter states that
every zonogon (a 2m-gon
whose opposite sides are
parallel and of
equal length) can be...
-
using comp****-and-straightedge construction:
Coxeter states that
every zonogon (a 2m-gon
whose opposite sides are
parallel and of
equal length) can be...
- _{i=1}^{n}d_{i}^{2}{\biggr )}^{2}=2n\sum _{i=1}^{n}d_{i}^{4}} .
Coxeter states that
every zonogon (a 2m-gon
whose opposite sides are
parallel and of
equal length) can be...
- half the
symmetry order of the
regular decagon.
Coxeter states that
every zonogon (a 2m-gon
whose opposite sides are
parallel and of
equal length) can be...
- the
symmetry order of the
regular icosagon.
Coxeter states that
every zonogon (a 2m-gon
whose opposite sides are
parallel and of
equal length) can be...
- have
central inversion symmetry,
order 2.
Every convex parallelogon is a
zonogon, but
hexagonal parallelogons enable the
possibility of
nonconvex polygons...
