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Re: Non-linear full-2d writing (again)

From:Jefferson Wilson <jeffwilson63@...>
Date:Sunday, January 29, 2006, 2:53
Sai Emrys wrote:
> On 1/28/06, Jefferson Wilson <jeffwilson63@...> wrote: >>Sai Emrys wrote: >>>On 1/25/06, Yahya Abdal-Aziz <yahya@...> wrote: >>> >>>>1. Thanks for trying to explain your notion of "non-linear", and how it >>>>differs from simply "not presented along a straight line". If I might >>>>summarise, I think your meaning of "non-linear" is what I would call >>>>"non-sequential". So we're really talking about basic internal structure >>>>here, rather than (primarily) about representation. >>> >>>Two good tests are branching factor and recursivity. If it can't to >>>both to arbitrary degrees, it's not what I'm talking about. >> >>What do you mean by "arbitrary degree?" If all symbols are the >>same size you're more-or-less restricted to six branches from a >>single symbol. > > Only if they're also all square AND not allowed to overlap (or 'fill' > a square space, like all 'ideographic' languages I know do - e.g. > Japanese / Chinese kanji/hanzi always "take up" one square of space, > no matter what they do within it).
Uh, no. It doesn't matter whether they're square or allowed to overlap or change in size. Two-dimensional space-filling permits only six connections, and if you aren't talking about same-size space-filling then your connections aren't arbitrary in the first place.
> If you have different shape of their 'personal space' - e.g. hexagonal > (viz. maps used for wargames) - or if they have allowance for some > sort of fusional morphology, then I see no reason why it cannot in > fact be literally to any arbitrary degree of branching / recursion.
You've failed to define what you mean by "arbitrary degree of branching." Mathematically, space-filling two-dimensional arrangements are limited to six connections. Even if there's a higher order of symmetry (7-fold or eight-fold) there can still be only six or fewer local connections. Greater connectivity can be defined, but if it's defined it can't (by definition) be arbitrary. -- Jefferson


Sai Emrys <sai@...>
tomhchappell <tomhchappell@...>