✦ LIBER ✦
Ribbon Tile Invariants from the Signed Area
✍ Scribed by Cristopher Moore; Igor Pak
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 154 KB
- Volume
- 98
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
✦ Synopsis
Ribbon tiles are polyominoes consisting of n squares laid out in a path, each step of which goes north or east. Tile invariants were first introduced by the second author (2000, Trans. Amer. Math. Soc. 352, 5525-5561), where a full basis of invariants of ribbon tiles was conjectured. Here we present a complete proof of the conjecture, which works by associating ribbon tiles with certain polygons in the complex plane, and deriving invariants from the signed area of these polygons.