We present here a database of 32 deoxyribonucleotide triplets, that can be used as building blocks of triple helix forming deoxyribonucleotides on a computer. This database is made of all the pairing schemes of the triplets ATT, GCC(+), ATA and GCG where the third base forms two hydrogen bonds with the purine of the first two Watson-Crick strands. The essential features of the known triple helices were preserved in the resulting structures. A triple helix can be easily built from any combination of these basic triplets. Four homogeneous and alternate triple helices thus obtained were studied by molecular mechanics and dynamics in vacuo. The results are in agreement with known experimental observations for ATT and suggest a possible structure for the GCG triple helix. In order to characterize the geometry of the structures obtained, the definitions of nucleic acid structure parameters (R.E. Dickerson et al., EMBO J. 8 (1989) 1-4) have been extended to triple helical polynucleotides.