I was looking for a prefix I could prepend to a word to mean an infinite amount of the thing the word describes. I eventually found someone with the same question, and since there were no answers, I offered a "close enough" one. But I got curious and tried to research some more. I didn't find a good list of amount-related prefixes (Wikipedia has an article on number prefixes, though), so I built one. But I found no prefix for infinity. Is there one?
omni- means "all" or "universally" which isn't exactly infinite, but may be a suitable substitute for some uses.
Classical the Judeo-Christian God is described as omni-potent (all-powerful).
In mathematics, specifically geometry, we use apeiro-.
The analog of a pentagon, hexagon, etc. having infinitely many sides is an apeirogon.
Similarly, a polyhedron with infinitely many sides is an apeirohedron.
It is from the ancient Greek ἄπειρος, apeiros, meaning "infinite" or "boundless" according to Wiktionary. I surmise this is formed as a-, "not," and peiros, "bounded," from the same root as perimeter, periphery, etc. See also Apeiron for a little etymology.
In addition to the other good answers that "unlimited number of..." is clearer than any alternative, I'd add that a prefix has a strong chance of implying simultaneously. For example, a 3-view display implies that you are seeing three views at once.
You want to describe possibilities, but only one at a time, as far as I can tell.