> It's not really clear to me where you're becoming confused? Got it. I was interpreting the bitstring as 1 bit mapped to each vertex of the cube, I so badly,

> It's not really clear to me where you're becoming confused? Got it. I was interpreting the bitstring as 1 bit mapped to each vertex of the cube, I so badly, utterly misinterpreted it (my string would be 2^n length, not n-length). A simple example and the intent here is totally clear. I guess the problem is at least partly I tend to read what I expect, not what's there. Sigh. > In this case, it means that a complex structure (the cube) includes.... Righto, a model of interest, a *-morphism or bijection between the string-set and the cube (where * = iso/homo/auto/whatever, it's been a long time) Thanks for this.