𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Square tilings with prescribed combinatorics

✍ Scribed by Oded Schramm


Book ID
112885979
Publisher
The Hebrew University Magnes Press
Year
1993
Tongue
English
Weight
1020 KB
Volume
84
Category
Article
ISSN
0021-2172

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Signed Tilings with Squares
✍ Kevin Keating; Jonathan King πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 232 KB

Let T be a bounded region in the Cartesian plane built from finitely many rectangles of the form [a 1 , a 2 )\_[b 1 , b 2 ), with a 1 <a 2 and b 1 <b 2 . We give a necessary and sufficient condition for T to be tilable with finitely many positive and negative squares.

Tiling a Rectangle with the Fewest Squar
✍ Richard Kenyon πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 594 KB

We show that a square-tiling of a p\_q rectangle, where p and q are relatively prime integers, has at least log 2 p squares. If q>p we construct a square-tiling with less than qΓ‚p+C log p squares of integer size, for some universal constant C.