Bn. Cyvin et al., A CLASS OF POLYGONAL SYSTEMS REPRESENTING POLYCYCLIC CONJUGATED HYDROCARBONS - CATACONDENSED MONOHEPTAFUSENES, Monatshefte fuer Chemie, 125(12), 1994, pp. 1327-1337
Catacondensed monoheptafusenes consist of catafusenes annelated to a h
eptagon. Complete mathematical solutions are reported for the numbers
of these systems. Two methods were applied: combinatorial summations a
nd application of generating functions. Catacondensed monoheptabenzeno
ids (geometrically planar catacondensed monoheptafusenes) were enumera
ted by computer programming, and the numbers of catacondensed monohept
ahelicenes (the corresponding geometrically nonplanar systems) were ob
tained as differences. Some of the forms of these helicenes are depict
ed.