A note on the pyjama problem

This note concerns the so-called pyjama problem, whether it is possible to cover the plane by finitely many rotations of vertical strips of half-width ε. We first prove that there exist no periodic coverings for ε<1/3. Then we describe an explicit (non-periodic) construction for ε=1/3 - 1/48. Fin...

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Detalhes bibliográficos
Principais autores: Malikiosis, R.D., Matolcsi, M., Ruzsa, I.Z.
Outros Autores: School of Physical and Mathematical Sciences
Formato: Journal Article
Idioma:English
Publicado em: 2013
Assuntos:
Acesso em linha:https://hdl.handle.net/10356/106094
http://hdl.handle.net/10220/17933
http://dx.doi.org/10.1016/j.ejc.2013.03.001