> This terminology should not be blamed on me. It was obtained by a democratic process in my course of 1976–77. An orbifold is something with many folds; unfortunately, the word "manifold" already has a different definition. I tried "foldamani", which was quickly displaced by the suggestion of "manifolded". After two months of patiently saying "no, not a manifold, a manifol*dead*," we held a vote, and "orbifold" won.
Thurston (1980, section 13.2) explaining the origin of the word "orbifold"