[Fluxus] a puzzle

[Stefan Blixt]

Hm, we're talking about fundamental concepts of the universe here (axioms?),
aren't we? At least concerning the three positive unit vectors - the rest
are just mirrors through origin. These things don't like to be defined using
other concepts.

>From what you state in your problem - what exactly is the question? "All 6
directions" is intuitive enough for me, but how to formulate it logically?
Compare to questions like "All 3 directions" or "All 8 directions".

I usually struggle when it comes to determining how "elegant" a piece of
code is, but

1,0,0
0,1,0
0,0,1

looks elegant enough for me. :)

/Stefan

On Fri, Jul 15, 2011 at 11:15 PM, Kassen <signal.automatique at gmail.com>wrote:

> Dear list,
>
> I've had a sort of "toy question" in the back of my mind for a while now.
>
> Say we'd like to livecode a shape that extends in all 6 directions (up,
> down, left, right, forward, backward) in some way. One way to go about this
> would be to write a list of unit-length vectors in those directions.
> However, writing that literally is not very elegant. Nicer would be to
> generate it. I tried and got this far;
>
> (build-list
>     6
>     (λ (x) (build-vector
>         3
>         (λ (y) (if (eq? (quotient x 2) y)
>             (if (even? x)
>                 1
>                 -1)
>             0)))))
>
> Evidently it works, it looks very "scheme-ish" and so on; it's as small as
> I can get it.
>
> However, disappointingly, it is also longer to type than its output, more
> or less defeating the purpose. It also doesn't really express the question
> itself, it seems more of a thing that heads straight for what we already
> know is the answer.
>
> Would anyone else like to try too?
>
> Yours,
> Kas.
>



-- 
Release me, insect, or I will destroy the Cosmos!
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