1. A computer program product comprising a non-transitory machine-readable medium storing instructions that, when executed by at least one programmable processor, cause the at least one programmable processor to perform operations comprising: defining an index cluster for a coordinate value of a vertex of a first simplex, the first simplex comprising a plurality of vertices and forming at least part of a shape within a coordinate system, a plurality of index vectors defining the first simplex, each index vector of the plurality of index vectors identifying one coordinate value within a dimensional dictionary for a dimension within the coordinate system for each vertex of the plurality of vertices, the index cluster comprising an interval within the dimensional dictionary for the coordinate value; scanning other index vectors for the interval, the other index vectors identifying value-IDs for other coordinate values for other vertices of other simplexes in a data set, the other index vectors being different from the plurality of index vectors defining the first simplex; identifying, based on the scanning, a subset of the other simplexes that possibly intersect the first simplex, the identifying comprising designating another simplex as a member of the subset when a comparison of the index cluster with the other index vector for the coordinate value for the other simplex returns a true value; and promoting the subset.