

A324494


Coordination sequence for TÃ¼bingen triangle tiling.


1




OFFSET

0,2


COMMENTS

Also known as the Tubingen or Tuebingen tiling.  N. J. A. Sloane, Jul 26 2019
The base point is taken to be the central point in the portion of the tiling shown in Baake et al. J. Phys. A (1997)'s Fig. 2 (left).
Note that the points at distance 2 from the base point, taken in counterclockwise order starting at the xaxis, have degrees 8, 7, 6, 8, 7, 6, 7, 8, 6, 7, so the figure does not have cyclic 5fold symmetry (even though the initial terms are multiples of 5). There is mirror symmetry about the xaxis.
For another illustration of the central portion of the tiling, see Fig. 3 of the Baake 1997/2006 paper.  N. J. A. Sloane, Jul 26 2019


REFERENCES

Baake, Michael. "Solution of the coincidence problem in dimensions d <= 4," in R. J. Moody, ed., The Mathematics of LongRange Aperiodic Order, pp. 944, Kluwer, 1997 (First version)
Baake, Michael. "Solution of the coincidence problem in dimensions d <= 4," arXiv preprint math/0605222 (2006) (Expanded version)


LINKS

Table of n, a(n) for n=0..5.
M. Baake, J. Hermisson, P. Pleasants, The torus parametrization of quasiperiodic LIclasses, J. Phys. A 30 (1997), no. 9, 30293056. See Fig. 2 (left).
N. J. A. Sloane, Illustration of initial terms. [Annotated version of Fig. 2 (left) of Baake et al. 1997.]
Index entries for coordination sequences of aperiodic tilings


CROSSREFS

Cf. A303981.
Sequence in context: A309464 A022093 A076817 * A200984 A299576 A185993
Adjacent sequences: A324491 A324492 A324493 * A324495 A324496 A324497


KEYWORD

nonn,more


AUTHOR

N. J. A. Sloane, Mar 12 2019


STATUS

approved



