Homogeneous Partition Research Articles

I. On homogeneous division of space

1. The homogeneous division of any volume of space means the dividing of it into equal and similar parts, or cells, as I shall call them, all sameways oriented. If we take any point in the interior of one cell or on its boundary, and corresponding points of all the other cells, these points form a homogeneous assemblage of single points, according to Bravais’ admirable and important definition. The general problem of the homogeneous partition of space may be stated thus.