Isohedral tilings of a ribbon
β Scribed by Richard L. Roth
- Publisher
- Springer
- Year
- 1989
- Tongue
- English
- Weight
- 240 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0046-5755
No coin nor oath required. For personal study only.
β¦ Synopsis
The isohedral tilings of a ribbon or infinite strip are classified. There are 24 of them, 5 of which must be realized as either marked tilings or tilings of a ribbon with edges which are not straight lines.
π SIMILAR VOLUMES
A CLASS OF TILINGS OF S 2 A~STRACX. By a monohedral f-tiling of the Euclidean sphere S 2 we mean a monohedral edge-toedge tiling of S z such that all vertices are of even valency and satisfy the angle-folding relation. Our purpose is to enumerate all monohedral f-tilings of S 2.
We compute the number of rhombus tilings of a hexagon with sides a, b, c, a, b, c with three fixed tiles touching the border. The particular case a=b=c solves a problem posed by Propp. Our result can also be viewed as the enumeration of plane partitions having a rows and b columns, with largest entr