- Such a
zonotope is
called a space-tiling
zonotope. The
following classification of space-tiling
zonotopes is due to McMullen: The
zonotope Z {\displaystyle...
- are
zonotopes.
Another 34, or
twice 17, are
Minkowski sums of
zonotopes with the 24-cell,
itself the
simplest parallelotope that is not a
zonotope. Seventeen...
- however,
there exist parallelopes that are not
zonotopes. See e.g. Shephard, G. C. (1974). "Space-filling
zonotopes". Mathematika. 21 (2): 261–269. doi:10...
- math.j.42.2.135. JSTOR college.math.j.42.2.135. Erdahl, R. M. (1999). "
Zonotopes, dicings, and Voronoi's
conjecture on parallelohedra".
European Journal...
- producer. They
began releasing music in 2009, with
their first projects being Zonotope™ and the
noise music project Diane Kensington Devotional Band. They subsequently...
- Garber, A. I. (2012). "Belt
distance between facets of space-filling
zonotopes".
Mathematical Notes. 92 (3–4).
Pleiades Publishing Ltd: 345–355. arXiv:1010...
-
using the
geometric properties of
Brillouin zones and
their connection to
zonotopes. For example, a
hexagonal lattice can be
generated by the (integer) linear...
- Polyhedra, Springer, pp. 349–359 Eppstein,
David (1996), "Zonohedra and
zonotopes",
Mathematica in
Education and Research, 5 (4): 15–21
Dodecahedral Crystal...
-
rhombicuboctahedron Eppstein (1996) Eppstein,
David (1996). "Zonohedra and
zonotopes".
Mathematica in
Education and Research. 5 (4): 15–21.
Coxeter Regular...
- for
three dimensions, not all of them are
zonotopes. 17 of the four-dimensional
parallelotopes are
zonotopes, one is the
regular 24-cell, and the remaining...
