In the context of the sequence in the article I think "infinite value" is confusing. Infinity is a better choice. Using infinity signifies that that number of regular polytopes is not finite. The ∞ in this context just means that there is no bound on the number of regular polytopes and not meant to be taken as an actual number. When you say infinite value it makes me think, "Which infinite value?" There are infinitely many infinite cardinal numbers.

Am mathematician.