T.R | Title | User | Personal Name | Date | Lines |
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569.1 | Try back issues of Sci Amer | MODEL::YARBROUGH | | Fri Aug 22 1986 10:08 | 16 |
| There was an article on this topic in Scientific American several
years ago, perhaps in Martin Gardner's column. As I recall there
are two polygons involved: one, a diamond-shaped parallelogram;
the other a concave quadrilateral whose concavity fits the obtuse
angle of the diamond. Something like ...
.
. . .
. . .
. . .
. . .
. . .
.
(Can we put ReGIS sequences in these messages?)
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569.2 | arbitrary polygons | CACHE::MARSHALL | beware the fractal dragon | Fri Aug 22 1986 13:37 | 15 |
| re .1:
That is one tiling, but I thought there were a whole slew of tilings.
There was an interview with Penrose in OMNI a few months back and
they included pictures of some of the tilings. Very pretty.
As for ReGIS, you *can* include them, but it'll be so much gibberish
until the note is EXTRACT'ed and TYPE'd (on a regis terminal of
course). Notes and Mail now suppress all <ESC> type characters.
I guess one question would be:
Given "n" polygons, how do you determine if they will tile a plane?
sm
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569.3 | | CLT::GILBERT | eager like a child | Fri Aug 22 1986 17:53 | 6 |
| I remember reading an article in Scientific American about a decade ago
about tiling the plane with copies (possibly rotated) of a single tile.
The interesting thing was that a few 'new' tilings were discovered (or
rediscovered), and it was proved that all such tilings were now identified.
I found the article fascinating.
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569.4 | Penrose Tiling in Quasi-Crystal | 22537::EDDIELEUNG | | Tue Aug 26 1986 03:00 | 7 |
| A recent issue of Scientific American ( July or Aug 1986 ) has an
article about Penrose tiling in Quasi-crystals, a new kind of material
just discovered.
Eddie.
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569.5 | Tiles for tots? | VMSDEV::HALLYB | The Smart Money was on Goliath | Sun Sep 23 1990 17:44 | 9 |
| In Martin Gardner's latest book (which is mostly a compilation of his
columns) he has a computer-generated color print of a fairly large
Penrose tiling. Gardner comments that Penrose had gotten patents on
use of tiles for toys and games.
Which begs the Christmas-is-coming question: Has anybody ever seen
commercial "Penrose Tiles" for sale?
John
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569.6 | Haven't seen them yet | ALLVAX::JROTH | It's a bush recording... | Sun Sep 23 1990 19:11 | 13 |
| Not yet - I plan to look for them next time I'm near an adult
toy store.
By the way, a beautifully illustrated coffee table book is
M.C. Escher: Art and Science
H.S.M. Coxeter, M. Emmer, R. Penrose, M.L. Teuber (eds)
North Holland
I for one want to write a program to generate some nice patterns
but it's had to wait due to lack of time :-(
- Jim
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569.7 | certainly have been marketed | HERON::BUCHANAN | combinatorial bomb squad | Mon Sep 24 1990 05:15 | 10 |
| I attended a lecture Penrose gave when he'd just come out with
these thingummies years ago. At the time, he was selling little sets
which were green and blue critter shapes (fairly ugly), but on
the reverse side were pretty kite and dart shapes in red and yellow.
I don't know if those things are still available. "The Emperor's
New Mind" (which mentions the tiles) perhaps has a contact reference.
Regards,
Andrew.
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569.8 | _The Emperor's New Mind_ has pictures, but no toys or mailing address or 800 number | CSSE::NEILSEN | I used to be PULSAR::WALLY | Fri Sep 28 1990 13:04 | 0
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