Odd order Magic square with 0 Determinant
in [Math]
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From: AI on 2 Nov 2009 03:10 On Nov 2, 10:10 am, Gerry Myerson <ge...(a)maths.mq.edi.ai.i2u4email> wrote: > In article > <ken.pledger-55F3B8.16094402112...(a)news.eternal-september.org>, > Ken Pledger <ken.pled...(a)mcs.vuw.ac.nz> wrote: > > > In article > > <2f23e44b-1b92-4aa2-b503-072b285f3...(a)h40g2000prf.googlegroups.com>, > > AI <vcpan...(a)gmail.com> wrote: > > > > Can you find any Odd order Magic square with 0 Determinant or Prove > > > that such Magic Square does not exist? > > > 13 14 11 > > > 15 22 1 > > > 10 2 26 > > That's what I'd call a semi-magic square - the rows and columns work, > but not the diagonals. > > Also, I took OP to mean using the numbers 1, 2, ..., n^2, > each exactly once. > > -- > Gerry Myerson (ge...(a)maths.mq.edi.ai) (i -> u for email) Yes you are right, That's why I have mentioned it is not a regular magic square. BTW I tried to find reference but could not find proof.
From: Gerry on 2 Nov 2009 06:51 On Nov 2, 7:10 pm, AI <vcpan...(a)gmail.com> wrote: > On Nov 2, 10:10 am, Gerry Myerson <ge...(a)maths.mq.edi.ai.i2u4email> > wrote: > > > > > > > In article > > <ken.pledger-55F3B8.16094402112...(a)news.eternal-september.org>, > > Ken Pledger <ken.pled...(a)mcs.vuw.ac.nz> wrote: > > > > In article > > > <2f23e44b-1b92-4aa2-b503-072b285f3...(a)h40g2000prf.googlegroups.com>, > > > AI <vcpan...(a)gmail.com> wrote: > > > > > Can you find any Odd order Magic square with 0 Determinant or Prove > > > > that such Magic Square does not exist? > > > > 13 14 11 > > > > 15 22 1 > > > > 10 2 26 > > > That's what I'd call a semi-magic square - the rows and columns work, > > but not the diagonals. > > > Also, I took OP to mean using the numbers 1, 2, ..., n^2, > > each exactly once. > > > -- > > Gerry Myerson (ge...(a)maths.mq.edi.ai) (i -> u for email) > > Yes you are right, That's why I have mentioned it is not a regular > magic square. > > BTW I tried to find reference but could not find proof. Do you mean you found the reference but the proof wasn't in it? Or do you mean you tried to find the reference but you couldn't? You might try finding contact details for one of the authors, then ask him if he can send you the paper. Or just an example, if that's all you need. -- GM
From: AI on 3 Nov 2009 00:07 On Nov 2, 4:51 pm, Gerry <ge...(a)math.mq.edu.au> wrote: > On Nov 2, 7:10 pm, AI <vcpan...(a)gmail.com> wrote: > > > > > > > On Nov 2, 10:10 am, Gerry Myerson <ge...(a)maths.mq.edi.ai.i2u4email> > > wrote: > > > > In article > > > <ken.pledger-55F3B8.16094402112...(a)news.eternal-september.org>, > > > Ken Pledger <ken.pled...(a)mcs.vuw.ac.nz> wrote: > > > > > In article > > > > <2f23e44b-1b92-4aa2-b503-072b285f3...(a)h40g2000prf.googlegroups.com>, > > > > AI <vcpan...(a)gmail.com> wrote: > > > > > > Can you find any Odd order Magic square with 0 Determinant or Prove > > > > > that such Magic Square does not exist? > > > > > 13 14 11 > > > > > 15 22 1 > > > > > 10 2 26 > > > > That's what I'd call a semi-magic square - the rows and columns work, > > > but not the diagonals. > > > > Also, I took OP to mean using the numbers 1, 2, ..., n^2, > > > each exactly once. > > > > -- > > > Gerry Myerson (ge...(a)maths.mq.edi.ai) (i -> u for email) > > > Yes you are right, That's why I have mentioned it is not a regular > > magic square. > > > BTW I tried to find reference but could not find proof. > > Do you mean you found the reference but the proof wasn't in it? > Or do you mean you tried to find the reference but you couldn't? > > You might try finding contact details for one of the authors, > then ask him if he can send you the paper. Or just an example, > if that's all you need. > -- > GM Thanks, I have mailed the author. Let's see if he replies. Regards, AI
From: Gerry Myerson on 3 Nov 2009 18:12
In article <41eb9283-dba3-44a1-9ee0-bfd27914b0e6(a)y32g2000prd.googlegroups.com>, AI <vcpandya(a)gmail.com> wrote: > On Nov 2, 4:51�pm, Gerry <ge...(a)math.mq.edu.au> wrote: > > On Nov 2, 7:10�pm, AI <vcpan...(a)gmail.com> wrote: > > > > > > > BTW I tried to find reference but could not find proof. > > > > You might try finding contact details for one of the authors, > > then ask him if he can send you the paper. Or just an example, > > if that's all you need. > > Thanks, I have mailed the author. Let's see if he replies. If he does, I hope you'll report back to this newsgroup. -- Gerry Myerson (gerry(a)maths.mq.edi.ai) (i -> u for email) |