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On odd points and the volume of lattice polyhedra

✍ Scribed by Krzysztof Kołodziejczyk

Publisher
Springer
Year
2000
Tongue
English
Weight
717 KB
Volume
68
Category
Article
ISSN
0047-2468

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📜 SIMILAR VOLUMES

An ‘odd’ formula for the volume of three
An ‘odd’ formula for the volume of three-dimensional lattice polyhedra
✍ Krzysztof KoŁodziejczyk 📂 Article 📅 1996 🏛 Springer 🌐 English ⚖ 407 KB

Let T be the filing of R 3 with unit cubes whose vertices belong to the fundamental lattice Ll of points with integer coordinates. Denote by L,, the lattice consisting of all points z in R s such that nz belongs to L1. When the vertices of a polyhedron P in R 3 are restricted to lie in LI then there

The boundary characteristic and the volu
The boundary characteristic and the volume of lattice polyhedra
✍ Krzysztof Kołodziejczyk 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 533 KB

The boundary characteristic --introduced by Ding and Reay --is a functional defined for a given planar tiling which associates with a given lattice figure, some integer. It appeared to be a very useful parameter to determine the area of lattice figures in the planar tilings with congruent regular po

Lattice points and the volume/area ratio
Lattice points and the volume/area ratio of convex bodies
✍ J. Bokowski; A. M. Odlyzko 📂 Article 📅 1973 🏛 Springer 🌐 English ⚖ 261 KB

## RATIO OF CONVEX BODIES Let K be a convex body in n-dimensional Euclidean space R" (n i> 2), V(K) > 0 its n-dimensional volume, A(K) its (n-1)-dimensional surface area, and L(K) the number of lattice points (points with integer coordinates) in the interior of K. We will be concerned with obtaini