Our Fractional Universe

> ... So at one extreme you have decimal representations of fractions like 1/3 that are rather boring, and at the other extreme you have decimal representations of fractions like 1/71 that are chaotic, but in between there’s a fascinating regime of decimal fractions with a third sort of behavior, neither boringly predictable nor boringly random-looking, but genuinely complex, and these decimals are capable of embodying every forms of computation!” Silicon leaned back in his chair. “I’ve devoted my entire career to classifying and understanding all the things decimal fractions can do. This isn’t just math—it’s a whole new way of thinking about computation and complexity.”