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...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/106094 http://hdl.handle.net/10220/17933 http://dx.doi.org/10.1016/j.ejc.2013.03.001 |