𝔖 Bobbio Scriptorium
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Cutting rectangles in the plane

✍ Scribed by Meir Katchalski; Ted Lewis

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
560 KB
Volume
42
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis

Let 9 be a planar family of pairwise disjoint translates of a parallelogram. It is shown that if every four members of qS are intersected by some straight line, then there is a straight line which intersects all but at most two members of S. If it is instead assumed that every two members of S are intersected by some line that is parallel to one of the edges of the parallelogram, then the same conclusion holds.

πŸ“œ SIMILAR VOLUMES

The Number of Plane Corner Cuts
The Number of Plane Corner Cuts
✍ Sylvie Corteel; GaΓ«l RΓ©mond; Gilles Schaeffer; Hugh Thomas πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 61 KB

In this article we give a generating function for the number # 2 n cut of plane corner cuts with respect to their size and prove that there exist two positive constants c and c such that, for all n > 1, We rely on [Onn-Sturmfels] for motivations for this work and we simply recall the following defi