Sets of tiles with a prescribed number of tilings
β Scribed by Peter Schmitt
- Publisher
- Springer
- Year
- 1986
- Tongue
- English
- Weight
- 728 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0046-5755
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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
A set tiles the integers if and only if the integers can be written as a disjoint union of translates of that set. We consider the problem of finding necessary and sufficient conditions for a finite set to tile the integers. For sets of prime power Ε½ . size, it was solved by D. Newman 1977, J. Numbe