Coordinates in the hyperbolic plane
β Scribed by Rita Capodaglio
- Book ID
- 107392550
- Publisher
- Springer-Verlag
- Year
- 2006
- Tongue
- German
- Weight
- 154 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0430-3202
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Given a finite collection L of lines in the hyperbolic plane H, we denote by k = k(L) its Karzanov number, i.e., the maximal number of pairwise intersecting lines in L, and by C(L) and n = n(L) the set and the number, respectively, of those points at infinity that are incident with at least one line
The paper gives the construction of a universal CA with 22 states in the regular rectangular pentagonal grid of the hyperbolic plane. The CA implements a railway circuit which simulates a register machine and which improves a bit already known railway simulations of a Turing machine.