Expressions are derived for distributions of nucleosomes in chromatin. Nucleosomes are placed on DNA at the densities found in bulk chromatin, and their locations are allowed to vary at random. No further assumptions are required to simulate the periodic patterns of digestion obtained with various nucleases. The introduction of a boundary constraint, due for example to sequence-specific protein binding, results in an array of regularly spaced nucleosomes at nonrandom locations, similar to the arrays reported for some genes and other chromosomal regions.