The PhD was aimed at analysing geometr ic structure on galactic and supra-galactic scales. A new two-point statistics was developed, suitable to measure the scale (10s of light-years) of star-forming clouds decoupled from other, similarly-sized features in galaxies. Applying this method to space telescope-data resulted in strong support for the so-called violent instability theory for star formation in gas-rich disks. The second part focused on the cosmic large-scale structure (10s of millions of light years). Via N-body simulations, it was shown that fundamental parameters describing gravity and dark matter can be efficiently determined by combining standard power-spectrum analysis with modern higher-order statistics.