A Computational Study of Sofas and Cars

Authors: Philip Gibbs

There is a class of geometric problem that seeks to find the shape of largest area that can pass down a corridor of given form or turn round inside a given shape. A popular example is the moving sofa problem for a shape that can be moved round an L-shaped corner in a corridor of width one. This problem has a conjectured solution proposed by Gerver in 1992. We investigate some of these problems numerically giving strong empirical evidence that Gerver was right and that a similar solution can be constructed for the related Conway car problem.

Comments: 8 Pages.

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Submission history

[v1] 2014-11-05 08:23:18
[v2] 2014-11-13 02:07:02

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