Discovered by


A substitution tiling found by Bill Kalahurka, Texas, in 2009 (?). It is mld to T2000 by L. Danzer in 2000.

Substitution Rule

Rule Equithirds


Patch Equithirds


de Bruijn, N G
Algebraic theory of Penrose's nonperiodic tilings of the plane. I, II
Nederl. Akad. Wetensch. Indag. Math. 1981, 43, no. 1, 39-52, 53-66, 82e:05055

Beenker, F P M
Algebraic theory of non-periodic tilings of the plane by two simple building blocks: a square and a rhombus
Eindhoven University of Technology 1982, TH-Report, 82-WSK04

Lück, R
Basic ideas of Ammann bar grids
Int. J. Mod. Phys. B 1993, 7, pp. 1437-53, MR1215343

Socolar, J E S
Simple octagonal and dodecagonal quasicrystals
Phys. Rev. B 1989, 39, pp. 10519-10551, MR0998533

Grünbaum, B and Shephard, G.C.
Tilings and Patterns
W.H. Freeman 1987, MR0857454