1. A method for organizing elements for compression, comprising: nesting, by a computing device, a hierarchical topological structure having a plurality of elements; arranging, by the computing device, said plurality of elements in a pattern to facilitate data compression; representing said pattern as four arrays by the computing device, the four arrays consisting of a shell array, a face array, a loop array, and a coedge array; and compressing, by the computing device, said plurality of elements from said arrays.