Re: [math-fun] Lost in fraction

This fraction has a nice self-referential smell (in french) : ... ... take any digit of (a); when written in french, this digit has as much letters as described by the next digit : ... What could be a similar english fraction ?

The English-language number -> length mapping has a unique fixed point, where all iterations end up. So we'd get, e.g., 1354444444444. Put the decimal point at a place of your choosing and follow the same procedure as before; so, e.g., x = 1.35444444444... 10x = 13.54444444444... 9x = 12.19000000000... = 1219/100 so x = 1219/900. -- g