The recently isolated fullerene C-36 is computed by the SAM1 method with en
ergetics refined at the B3LYP/6-31G* level. Twelve low-energy cages are con
sidered in detail, exhibiting both fullerene (pentagons and hexagons) and q
uasi-fullerene (also squares and heptagons) pattern. In contrast to other f
ullerene systems, the SAM1 and B3LYP/6-31G* methods do produce somewhat dif
ferent energetics. Consequently, the equilibrium isomeric composition at hi
gh temperatures is different, too. In the best affordable B3LYP/6-31G* appr
oach the fullerene cage with the topological D-6d symmetry represents the m
ost populated species at high temperatures. Hence, an agreement with the so
lid-state NMR experiment is achieved at the B3LYP/6-31G* theoretical level.