%0 Journal Article %T The Geometry of Niggli Reduction II: BGAOL -- Embedding Niggli Reduction %A Lawrence C. Andrews %A Herbert J. Bernstein %J Physics %D 2013 %I arXiv %X Niggli reduction can be viewed as a series of operations in a six-dimensional space derived from the metric tensor. An implicit embedding of the space of Niggli-reduced cells in a higher dimensional space to facilitate calculation of distances between cells is described. This distance metric is used to create a program, BGAOL, for Bravais lattice determination. Results from BGAOL are compared to the results from other metric-based Bravais lattice determination algorithms. %U http://arxiv.org/abs/1305.6561v1