I haven't posted this PDF here before, assuming that anyone can find it as easily as I, on the internet. Upon reconsideration, perhaps others are not as obsessed as I...
"NASA CR-1734 - Polyhedral Subdivision Concepts - Joseph D. Clinton - 1971"
Clinton covers 7 icosahedron-subdivision methods in this paper, making no distinction between class-I & class-II. Some of the 7 are class-I and the remainder are class-II. The paper may have been written before the "class" terminology came into common usage.
(That's the primary reason I didn't want to introduce this paper into discussion. I don't want to "muddy the waters" with contradictory terminology, compared to those in Domebook2.)
Do not confuse these method names/numbers with those in common usage, today. (Perhaps, a cross-reference is in order?)
-Taff