Graeco-Latin squares

Anyone here made a Graeco-Latin square quilt?

We're thinking of making one for somebody whose mind works that
way (a composer who writes serial music). Something like this:

http://buzzard.ups.edu/squares.html

That 10x10 design was only discovered in 1959 (after nearly 200 years
during which most mathematicians thought it was impossible) and its
theory is pretty complicated. Should keep the recipient's mind well
occupied trying to figure out how on earth it works.

==== j a c k at c a m p i n . m e . u k === http://www.campin.me.uk ====
Jack Campin, 11 Third St, Newtongrange EH22 4PU, Scotland == mob 07800 739 557
CD-ROMs and free stuff: Scottish music, food intolerance, and Mac logic fonts

Cool! Sort of a sudoku. Shouldn't be technically difficult either.
Roberta in D

On Mon, 01 Dec 2008 14:03:08 +0000, Jack Campin - bogus address
wrote:

Anyone here made a Graeco-Latin square quilt?

We're thinking of making one for somebody whose mind works that
way (a composer who writes serial music). Something like this:

http://buzzard.ups.edu/squares.html

That 10x10 design was only discovered in 1959 (after nearly 200 years
during which most mathematicians thought it was impossible) and its
theory is pretty complicated. Should keep the recipient's mind well
occupied trying to figure out how on earth it works.

==== j a c k at c a m p i n . m e . u k === http://www.campin.me.uk ====
Jack Campin, 11 Third St, Newtongrange EH22 4PU, Scotland == mob 07800 739 557
CD-ROMs and free stuff: Scottish music, food intolerance, and Mac logic fonts

Haven't made one but I think I might now that I know about them! I've
been collecting fabric for a quilt for DH but haven't figured out a
pattern yet. Since he is a math whiz this would be very cool to use.
Now I just need to check fabric yardages .......woohoo!!

Allison







Jack Campin - bogus address wrote:
Anyone here made a Graeco-Latin square quilt?

We're thinking of making one for somebody whose mind works that
way (a composer who writes serial music). Something like this:

http://buzzard.ups.edu/squares.html

That 10x10 design was only discovered in 1959 (after nearly 200 years
during which most mathematicians thought it was impossible) and its
theory is pretty complicated. Should keep the recipient's mind well
occupied trying to figure out how on earth it works.

==== j a c k at c a m p i n . m e . u k === http://www.campin.me.uk ====
Jack Campin, 11 Third St, Newtongrange EH22 4PU, Scotland == mob 07800 739 557
CD-ROMs and free stuff: Scottish music, food intolerance, and Mac logic fonts

Fascinating!
I would probably spend years trying to get a colour pattern to work!!!
So, I think I'll leave this one alone g. On the other hand ... ...
..
In message , Jack Campin -
bogus address writes
Anyone here made a Graeco-Latin square quilt?

We're thinking of making one for somebody whose mind works that
way (a composer who writes serial music). Something like this:

http://buzzard.ups.edu/squares.html

That 10x10 design was only discovered in 1959 (after nearly 200 years
during which most mathematicians thought it was impossible) and its
theory is pretty complicated. Should keep the recipient's mind well
occupied trying to figure out how on earth it works.

==== j a c k at c a m p i n . m e . u k === http://www.campin.me.uk ====
Jack Campin, 11 Third St, Newtongrange EH22 4PU, Scotland == mob 07800 739 557
CD-ROMs and free stuff: Scottish music, food intolerance, and Mac logic fonts

--
Best Regards
pat on the hill

Not difficult to make, but - as I've just written in my reply - how to
'pattern' the large square colours? Probably an unending task. A
scrappy-loving (or random placement) person (like yourself!) would
probably enjoy it - I would need to make *some* patterns at least!
..
In message , Roberta
writes
Cool! Sort of a sudoku. Shouldn't be technically difficult either.
Roberta in D
--
Best Regards
pat on the hill

Not difficult to make, but - as I've just written in my reply - how to
'pattern' the large square colours? Probably an unending task. A
scrappy-loving (or random placement) person (like yourself!) would
probably enjoy it - I would need to make *some* patterns at least!

You can't. The pattern in that diagram is it, you can't change
anything (well, there may be a few more arrangements that fit the
problem, but at most 7 more, and it took a supercomputer 2000
hours of thinking to show there are no more than that). You could
use a different set of 10 colours for the small squares without
changing the basic logic, but permuting the colours so that red
and blue squares swap places isn't going to get you anything more
ordered.

In a sense it's the *least* patterned arrangement you can get.

We've picked out a bunch of saturated colours with subtle and
rather similar texture patterns.

This might have been a better thing to send into interstellar
space to say "hey, we're intelligent life" than what they put
in the Voyager probes.

==== j a c k at c a m p i n . m e . u k === http://www.campin.me.uk ====
Jack Campin, 11 Third St, Newtongrange EH22 4PU, Scotland == mob 07800 739 557
CD-ROMs and free stuff: Scottish music, food intolerance, and Mac logic fonts

Ah well, then, I'll stop now- while I'm on the level g
..
In message , Jack Campin -
bogus address writes
You can't. The pattern in that diagram is it, you can't change
anything (well, there may be a few more arrangements that fit the
problem, but at most 7 more, and it took a supercomputer 2000
hours of thinking to show there are no more than that). You could
use a different set of 10 colours for the small squares without
changing the basic logic, but permuting the colours so that red
and blue squares swap places isn't going to get you anything more
ordered.

In a sense it's the *least* patterned arrangement you can get.

We've picked out a bunch of saturated colours with subtle and
rather similar texture patterns.

This might have been a better thing to send into interstellar
space to say "hey, we're intelligent life" than what they put
in the Voyager probes.

==== j a c k at c a m p i n . m e . u k === http://www.campin.me.uk ====
Jack Campin, 11 Third St, Newtongrange EH22 4PU, Scotland == mob 07800 739 557
CD-ROMs and free stuff: Scottish music, food intolerance, and Mac logic fonts

--
Best Regards
pat on the hill

On 2 Dec, 05:09, Patti wrote:
Ah well, then, I'll stop now- while I'm on the level g
.
In message , Jack Campin -
bogus address writes



You can't. *The pattern in that diagram is it, you can't change
anything (well, there may be a few more arrangements that fit the
problem, but at most 7 more, and it took a supercomputer 2000
hours of thinking to show there are no more than that). *You could
use a different set of 10 colours for the small squares without
changing the basic logic, but permuting the colours so that red
and blue squares swap places isn't going to get you anything more
ordered.

In a sense it's the *least* patterned arrangement you can get.

We've picked out a bunch of saturated colours with subtle and
rather similar texture patterns.

This might have been a better thing to send into interstellar
space to say "hey, we're intelligent life" than what they put
in the Voyager probes.

==== j a c k *at *c a m p i n . m e . u k *=== *http://www.campin.me.uk ====
Jack Campin, 11 Third St, Newtongrange EH22 4PU, Scotland == mob 07800 739 557
CD-ROMs and free stuff: *Scottish music, food intolerance, and Mac logic fonts

--
Best Regards
pat on the hill

C'mon Pat, where's your mathematical sense of adventure? You could
probably run this one up in an afternoon!!!big grin
Cheers
Bronnie

Perhaps!
But, it's not the quilt-making that is the difficulty - it's the
placement. And, as Jack says that is almost the only possible way they
can be arranged, and as greater mathematicians than I (by a long chalk
I'm sure!) cannot find a way of altering it. I might try a x5 to see
how I get on - just drawing and colouring! But, don't hold your breath
g
I have a 1" Dear Jane extract to think about gg
..
In message
,
Bronnie writes
C'mon Pat, where's your mathematical sense of adventure? You could
probably run this one up in an afternoon!!!big grin
Cheers
Bronnie

--
Best Regards
pat on the hill

On Dec 1, 4:37�pm, Patti wrote:
Perhaps!
But, it's not the quilt-making that is the difficulty - it's the
placement. �And, as Jack says that is almost the only possible way they
can be arranged, and as greater mathematicians than I (by a long chalk
I'm sure!) cannot find a way of altering it. �I might try a x5 to see
how I get on - just drawing and colouring! �But, don't hold your breath
�g
I have a 1" Dear Jane extract to think about gg
.
In message
,
Bronnie writes

C'mon Pat, where's your mathematical sense of adventure? �You could
probably run this one up in an afternoon!!!big grin
Cheers
Bronnie

--
Best Regards
pat on the hill

That makes my head hurt!
joan :