Disclosed are methods and systems for determining the three-dimensional structure of chromatin in eukaryotic cells. More specifically, disclosed are methods and systems for obtaining chromatin structural information by surface immobilization that includes tethering crosslinked protein:DNA complexes and/or ligated DNA complexes to media such as beads, gels, and or matrices during the conformation capture assay. In general, the method includes flash freezing a cell such that the structural organization of the chromatin or other protein:DNA complexes is preserved, cryomilling the cell, producing cross-linked protein:DNA complexes by cutting the chromatin using a chemical, physical or enzymatic method, substantially immobilizing the cross-linked protein:DNA complexes, ligating the cross-linked protein:DNA complexes intramolecularly such that the ligated protein:DNA complexes represent structural organization of the chromatin; characterizing the ligated DNA by sequencing or other methods; and identifying any structural organization of the chromatin. The structural organization preferably includes information relating to interacting loci of the chromatin.