Better articles (IMO) at Wikipedia: https://en.wikipedia.org/wiki/Non-integer_base_of_numeration https://en.wikipedia.org/wiki/Non-integer_base_of_numeration

Better articles (IMO) at Wikipedia: https://en.wikipedia.org/wiki/Non-integer_base_of_numeration https://en.wikipedia.org/wiki/Non-integer_base_of_numeration Example: https://en.wikipedia.org/wiki/Golden_ratio_base https://en.wikipedia.org/wiki/Golden_ratio_base https://en.wikipedia.org/wiki/Non-standard_positional_numeral_systems https://en.wikipedia.org/wiki/Non-standard_positional_numera... has a long list. An interesting one: base 2i https://en.wikipedia.org/wiki/Quater-imaginary_base https://en.wikipedia.org/wiki/Quater-imaginary_base -- this was introduced in one of the papers Donald Knuth wrote in college.