# Packing Lines, Planes, etc.: Packings in Grassmannian Spaces

@article{Conway1996PackingLP, title={Packing Lines, Planes, etc.: Packings in Grassmannian Spaces}, author={John H. Conway and Ronald H. Hardin and N. J. A. Sloane}, journal={Exp. Math.}, year={1996}, volume={5}, pages={139-159} }

We addressthe question: How should N n-dimensional subspaces of m-dimensional Euclidean space be arranged so that they are as far apart as possible? The resuIts of extensive computations for modest values of N, n, m are described, as well as a reformulation of the problem that was suggested by these computations. The reformulation gives a way to describe n-dimensional subspaces of m-space as points on a sphere in dimension ½(m–l)(m+2), which provides a (usually) lowerdimensional representation…

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