{upright, flat, weird} or {upright, flat-left, flat-right} (as in Treehouse). In either case, "Yes, I missed it."
Dang, that's going to be one cool D&D puzzle.
And I think that's 209 possible white koans now, if I was right about the other to begin with, which I probably wasn't, but JK will be along to loudly correct me and draw aspersions on my literacy, I imagine.
--David
----- "Timothy Hunt" <games@xxxxxxxxxxxxxx> wrote:
> Didn't you miss orientation?
>
> On Thu, Mar 12, 2009 at 2:42 PM, David L. Willson
> <DLWillson@xxxxxxxxxx> wrote:
> > I was playing with Zendo Set in my head, and came up with 21
> possible koans with the BN, where we use three pyramids with the three
> usual sizes, and three possible colors of Red, Blue, and Yellow.
> >
> > (LLL,MMM,SSS)*(RRR,BBB,YYY) = 9 of one size and one color
> > (LMS)*(RRR,BBB,YYY) = 3 of all sizes and one color
> > (LLL,MMM,SSS)*(RBY) = 3 of one size and all colors
> > (LMS)*(RBY,RYB,YBR,YRB,BRY,BYR) = 6 of all sizes and all colors
> >
> > I'm wondering how many koans ~without~ the BN there are.
> >
> > Let's see (LLS, LLM, LMM, MMS, LSS, MSS) times 9(?) otherwise valid
> color combinations... then color combinations would be the same, 6 x
> 9?
> >
> > David L. Willson
> > Trainer, Engineer, Enthusiast
> > MCT, MCSE, Linux+
> > tel://720.333.LANS
> > Freeing people from the tyranny (or whatevery) of Microsofty-ness,
> one at a time.
> >
> > ----- "Paul Reinerfelt" <paul.reinerfelt@xxxxxxxxx> wrote:
> >
> >> 2009/3/12 Nick Lamicela <nupanick@xxxxxxxxx>:
> >> > Ooh, I just thought of something! SETs!
> >> >
> >> > AKHTBN iff its colors are either all different or all alike, and
> it
> >> contains
> >> > three pyramids of the same size or one of each size, and the
> >> pyramids are
> >> > all in the same orientation or all in different orientations.
> >> >
> >> > White koans:
> >> > a red House (treehouse starting setup)
> >> > Three upright large pieces of different colors.
> >> >
> >> > Black koans:
> >> > two small blue pyramids pointing at a medium yellow between
> them.
> >> > Green large pointing up, Yellow large pointing up, Blue large
> >> pointing
> >> > right.
> >> >
> >> > Anyone in your group who's played Set should catch on. A third
> >> example of
> >> > each might help, though. Maybe also remove one color so there's
> >> three
> >> > possibilities for each value.
> >> >
> >>
> >> Indeed. And a fiendishly difficult koan to others. Very suitable as
> a
> >> puzzle key in a dungeon.
> >>
> >> Good work!
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