Synthetic protocols and circular dichroism (CD) spectra are reported for a series of oligomers of (R,R)-trans-2-aminocyclopentanecarboxylic acid (trans-ACPC). The two longest oligomers, a hexamer and an octamer, have also been examined crystallographically. Both crystal structures shaw that the beta-peptide backbone adopts a regular helix that is defined by a series of interwoven 12-membered ring hydrogen bonds ("12-helix"). Each hydrogen bond links a carbonyl oxygen to an amide proton three residues toward the C-terminus. CD data suggest that the conformational preference of trans-ACPC oligomers in methanol is strongly length-dependent, which implies that 12-helix formation is a cooperative process, as seen for the alpha-helix formed by conventional peptides. Previous work has established that oligomers and polymers of beta-amino acids can adopt helical conformations, but the 12-helix is an unprecedented beta-peptide secondary structure.