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A Further Note on the Volume of Lattice Polyhedra

✍ Scribed by Reeve, J. E.


Book ID
120099867
Publisher
Oxford University Press
Year
1959
Tongue
English
Weight
146 KB
Volume
s1-34
Category
Article
ISSN
0024-6107

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πŸ“œ SIMILAR VOLUMES


On the Volume of Lattice Polyhedra
✍ Reeve, J. E. πŸ“‚ Article πŸ“… 1957 πŸ› Oxford University Press 🌐 English βš– 412 KB
The boundary characteristic and the volu
✍ Krzysztof KoΕ‚odziejczyk πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 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 β€˜odd’ formula for the volume of three
✍ Krzysztof KoŁodziejczyk πŸ“‚ Article πŸ“… 1996 πŸ› Springer 🌐 English βš– 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