Bob, I believe the Penrose tiling lacks simple symetry which your math examples have. But I thought the Alhambra had some of the very special tiling. Regards, Bob S.
On Thu, Apr 8, 2010 at 2:37 AM, Bob W <[email protected]> wrote: >> On Wed, Apr 07, 2010 at 10:13:30PM +0100, Bob W scripsit: >> > [...] >> > He won a legal battle a few years ago against a toilet paper >> > manufacturer who used a Penrose tiling on their paper to >> make it less bulky when rolled. >> > They were judged to have stolen his idea, but I can't help thinking >> > how wonderful it would be if some junior bogroll designer >> had come up >> > with the same idea... >> >> I seem to recall that there are some medieval mosques with >> tiling patterns that use Penrose tiling, so someone seems to >> have managed it empirically. (At least; if they published >> back then, it is not known to >> survive.) >> > > These are from the Alhambra (the one in Granada, not the one in Bradford): > <http://www2.spsu.edu/math/tile/grammar/moor.htm> > > I think they kept this sort of thing a closely guarded secret. > Coincidentally I was looking at a tiling program earlier this week, just out > of curiosity and because I like Islamic tiling. Whether or not they were > Penrose tilings I don't know - I'm not a mathematician - but the authors of > this software approach it from the mathematical point of view. > <http://www.cgl.uwaterloo.ca/~csk/washington/taprats/> > > Bob > > > -- > PDML Pentax-Discuss Mail List > [email protected] > http://pdml.net/mailman/listinfo/pdml_pdml.net > to UNSUBSCRIBE from the PDML, please visit the link directly above and follow > the directions. > -- PDML Pentax-Discuss Mail List [email protected] http://pdml.net/mailman/listinfo/pdml_pdml.net to UNSUBSCRIBE from the PDML, please visit the link directly above and follow the directions.

