๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the Volume of Lattice Polyhedra

โœ Scribed by Reeve, J. E.


Book ID
120102864
Publisher
Oxford University Press
Year
1957
Tongue
English
Weight
412 KB
Volume
s3-7
Category
Article
ISSN
0024-6115

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


The boundary characteristic and the volu
โœ Krzysztof Koล‚odziejczyk ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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

An โ€˜oddโ€™ formula for the volume of three
โœ Krzysztof Koลodziejczyk ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Springer ๐ŸŒ English โš– 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

Counting Lattice Points of Rational Poly
โœ Beifang Chen; Vladimir Turaev ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 153 KB

P : (n) x n: , where A is the set of all vertices of P and each P : (n) is a certain periodic function of n. The Ehrhart reciprocity law follows automatically from the above formula. We also present a formula for the coefficients of Ehrhart polynomials in terms of elementary symmetric functions. 200