Also known as ‘table tiling’. In [Sol97] was shown that its dynamical spectrum has a continuous component. Thus it cannot be a cut and project tiling. The same was shown in [Rob99] , where a topological model of the dynamical system of the domino tilings is obtained.

[Sol97]

Solomyak, B

**Dynamics of self-similar tilings.**

*Ergodic Theory Dynam. Systems*
1997,
17, 3,
pp. 695--738,

[Rob99]

Robinson, E. Arthur, Jr.

**On the table and the chair**

*Indag. Math. (N.S.)*
1999,
10, 4,
pp. 581--599,
MR1820555