%0 Journal Article %T Sums of Isometric Pairs of Lattices %A Paul Lewis %J Mathematics %D 2010 %I arXiv %X This paper is an investigation of a procedure for constructing lattices by means of taking the sum of a pair of isometric lattices. We present various general results pertaining to this construction and discuss several examples of it applied to various well-known lattices of small rank. %U http://arxiv.org/abs/1009.0060v1