@inproceedings{5225c78bcf6a4fde9e7afda5b7a06e8a,
title = "Quadrangles which cannot be separated with two hands",
abstract = "A set of objects O is said to be separable with two hands if some proper subset of O can be simultaneously displaced by some rigid motion to infinity without disturbing its complement. It is shown that for all n ≥ 7 there exist configurations of n quadrangles in the plane, which cannot be separated by translation with two hands. Furthermore, no single quadrangle can be separated from the others by means of translation and rotation.",
keywords = "Algorithms, Artificial Intelligence, Collision Avoidance, Computational Geometry, Discrete Geometry, Interlocking Polygons, Object Mobility, Robotics, Spatial Planning",
author = "Houle, {Michael E.} and Toussaint, {Godfried T.}",
note = "Publisher Copyright: {\textcopyright} 2016 Author(s).; International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015 ; Conference date: 23-09-2015 Through 29-09-2015",
year = "2016",
month = jun,
day = "8",
doi = "10.1063/1.4952257",
language = "English (US)",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Simos, {Theodore E.} and Simos, {Theodore E.} and Charalambos Tsitouras and Simos, {Theodore E.}",
booktitle = "International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015",
}