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A324494 Coordination sequence for Tübingen triangle tiling. 1

%I #34 Oct 21 2019 02:33:27

%S 1,10,10,20,50,30

%N Coordination sequence for Tübingen triangle tiling.

%C Also known as the Tubingen or Tuebingen tiling. - _N. J. A. Sloane_, Jul 26 2019

%C 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).

%C Note that the points at distance 2 from the base point, taken in counterclockwise order starting at the x-axis, have degrees 8, 7, 6, 8, 7, 6, 7, 8, 6, 7, so the figure does not have cyclic 5-fold symmetry (even though the initial terms are multiples of 5). There is mirror symmetry about the x-axis.

%C 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

%D Baake, Michael. "Solution of the coincidence problem in dimensions d <= 4," in R. J. Moody, ed., The Mathematics of Long-Range Aperiodic Order, pp. 9-44, Kluwer, 1997 (First version)

%H M. Baake, J. Hermisson, P. Pleasants, <a href="http://dx.doi.org/10.1088/0305-4470/30/9/016">The torus parametrization of quasiperiodic LI-classes</a>, J. Phys. A 30 (1997), no. 9, 3029-3056. See Fig. 2 (left).

%H Michael Baake, <a href="http://arxiv.org/abs/math/0605222">Solution of the coincidence problem in dimensions d≤4</a>, arXiv:math/0605222 [math.MG], 2006. (Expanded version)

%H N. J. A. Sloane, <a href="/A324494/a324494.png">Illustration of initial terms.</a> [Annotated version of Fig. 2 (left) of Baake et al. 1997.]

%H <a href="/index/Con#coordination_sequences">Index entries for coordination sequences of aperiodic tilings</a>

%Y Cf. A303981.

%K nonn,more

%O 0,2

%A _N. J. A. Sloane_, Mar 12 2019

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Last modified August 19 18:08 EDT 2024. Contains 375310 sequences. (Running on oeis4.)