Gene regulatory grids (GRGs) are static representations of gene regulatory networks (GRNs) encompassing all possible regulator-target gene interactions thereby providing a system-wide view of transcriptional gene regulation. To understand the architectural organization of GRGs, we investigate their emergent topological and statistical properties in the following model organisms: Caenorhabditis elegans, Drosophila melanogaster, mus musculus and Saccharomyces cerevisiae. We then determine how the properties vary as a function of grid size within and across species, with an aim of describing the expected GRGs for non-model organisms. For each GRG of the aforementioned species, we investigate: (a) node degree distribution as a proxy for determining grid scale-free property; (b) average clustering coefficient and path length as determinants of small-world property; and (c) presence of network motifs and hubs. Preliminary results indicate that GRGs are scale-free and their connectivity can be used in estimating the number of all interactions in a fully-connected grid.