Tiling (Mathematics), Tiling spaces, Topology, Hausdorff measures, Measure theory
We classify all rational 2-reptiles in the plane. We also establish properties concerning rational reptiles in the plane in general.
Ngai, Sze-Man; Sirvent, Víctor F.; Veerman, J. J. P.; and Wang, Yang, "On 2-Reptiles in the Plane" (1999). Mathematics and Statistics Faculty Publications and Presentations. 141.
This is the author’s version of a work that was accepted for publication in Geometriae Dedicata. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication.
A definitive version was subsequently published in Geometriae Dedicata and can be found online at: http://dx.doi.org/10.1023/A:1005206301454
* At the time of publication J. J. P. Veerman was affiliated with Georgia Institute of Technology