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A new way of probing the large-scale structure of the universe is proposed.Space is partitioned into cells the shape of rhombic dodecahedron. The cellsare labelled ``filled'' or ``empty'' according as they contain galaxies or not.The cell size is so chosen as to have nearly equal numbers of filled and emptycells for the given galaxy sample. Two observables on each cell are definable:the number of its {\em like} neighbors, $n_1$, and a two-suffixed topologicaltype $\tau$, the suffixes being the numbers of its like and unlike {\emneighbor-groups}. The frequency distributions of $n_1$ and $\tau$ in theobserved set of filled (empty) cells are then considered as indicators of themorphology of the set. The method is applied to the CfA catalogue of galaxiesas an illustration. Despite its limited size the data offers evidence 1) thatthe empty cells are more strongly clustered than the filled cells, and 2) thatthe filled cells, but not the empty cells, have a tendency of occurring insheets. Further directions of development both in theory and application areindicated.Comment: 12 pages 4 figures (in 2 files

Rhombic Cell Analysis – A New Way of Probing the Large-Scale Structure of the Universe. I. General Considerations