This is just a series of ring closures sparked off by coordination of the Lewis acid to the OH group. Look for Core's proposed mechanism leading to the formation of squalene
Are you maybe thinking of squalene oxide to dammaradienol cyclization? Note that squalene is an acyclic compound, itself biosynthesized from acyclic precursors.
As a matter of fact, Singingintain’s problem is an example of a cation-olefin (polyene) cyclization and it constitutes the key step in
Johnson-Semmelhack classic route to steroids
1,2, in particular
dl-16,17-dehydro-progesterone. The mechanism is really simple, Lewis acid forms a tertiary carbocation (electron sink), this event goes on to trigger a remarkable, entirely stereospecific cation-TT cyclization:
1. Johnson, W. S.; Semmelhack, M. F.; Sultanbawa, M. U. S.; Dolak, L. A.
J. Am. Chem. Soc. 1968,
90, 2994–2996.
2. Johnson, W. S.; Li, T.; Harbert, C. A.; Bartlett, W. R.; Herrin, T. R.; Staskun, B.; Rich, D. H.
J. Am. Chem. Soc.
1970,
92, 4461-4463.
Also, check out Overman's article on contiguous stereogenic quaternary carbons (and references therein), as it happens it is available for free:
http://www.pnas.org/content/101/33/11943.full.pdf+html