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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,626

What is special about the numbers in this woodcut (made by Albrect Durer in 1514):

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**justlookingforthemoment****Moderator**- Registered: 2005-05-26
- Posts: 2,161

Let me guess: they're the numbers from 1-16; [answer removed and Yes - You Are Right. MathsIsFun]!

*Last edited by MathsIsFun (2005-06-02 20:28:39)*

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**Roraborealis****Member**- Registered: 2005-03-17
- Posts: 1,594

NO! I can't see some numbers!

School is practice for the future. Practice makes perfect. But - nobody's perfect, so why practice?

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**MathsIsFun****Administrator**- Registered: 2005-01-21
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Top right, below the bell.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**Roraborealis****Member**- Registered: 2005-03-17
- Posts: 1,594

Yes, I see them, I just can't make out what some of the numbers are, for instance the one above four.

*Last edited by Roraborealis (2005-06-16 18:45:46)*

School is practice for the future. Practice makes perfect. But - nobody's perfect, so why practice?

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**justlookingforthemoment****Moderator**- Registered: 2005-05-26
- Posts: 2,161

Sorry...did I spoil it for everyone else or did you remove it in time, MathsIsFun?

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,626

Not at all spoiled, justlooking, and anyway, you CAN solve them when you want!

Rora, I think the numbers are:

16 3 2 13

5 10 11 8

9 6 7 12

4 15 14 1

Why?

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**justlookingforthemoment****Moderator**- Registered: 2005-05-26
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Phew!

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**Roraborealis****Member**- Registered: 2005-03-17
- Posts: 1,594

Is it because they all add up to 34 in each row?

School is practice for the future. Practice makes perfect. But - nobody's perfect, so why practice?

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,626

How about the columns? And diagonally as well?

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**justlookingforthemoment****Moderator**- Registered: 2005-05-26
- Posts: 2,161

They're magic!

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**justlookingforthemoment****Moderator**- Registered: 2005-05-26
- Posts: 2,161

MathsIsFun wrote:

Albrect Durer

Albrecht Dürer

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**MathsIsFun****Administrator**- Registered: 2005-01-21
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Entschuldigung !

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**stewie****Member**- Registered: 2005-03-28
- Posts: 820

MathsIsFun wrote:

Top right, below the bell.

I didn't know Zach was in the picture.

HAPPY HAPPY, JOY JOY

Fatboy Slim is the band of the 90s, thats if you want to call it a band because its really a one man name

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**akshaylovesmaths****Member**- Registered: 2005-06-16
- Posts: 1

16

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**MathsIsFun****Administrator**- Registered: 2005-01-21
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Hi akshay, that is a most elegant number. It is 2^4 and also 4^2.

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**Roraborealis****Member**- Registered: 2005-03-17
- Posts: 1,594

MathsIsFun wrote:

How about the columns? And diagonally as well?

I meant to say that, too.

School is practice for the future. Practice makes perfect. But - nobody's perfect, so why practice?

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,626

Shows how long (1514) people have had a fascination with the magic of numbers. It stretches back much further of course to the Greeks, Arabsm Chinese, etc. But this is a great example.

I think at the time, such arrangements of numbers had an almost magical significance. (Hence the name Magical Squares?)

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**Mr T****Member**- Registered: 2005-03-30
- Posts: 1,012

stewie wrote:

MathsIsFun wrote:Top right, below the bell.

I didn't know Zach was in the picture.

sophisticated humour there

I come back stronger than a powered-up Pac-Man

I bought a large popcorn @ the cinema the other day, it was pretty big...some might even say it was "large

Fatboy Slim is a Legend

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**Roraborealis****Member**- Registered: 2005-03-17
- Posts: 1,594

Oh, why don't you just leave Zach alone? Do you have a problem with his existence?

*Last edited by Roraborealis (2005-06-19 04:44:40)*

School is practice for the future. Practice makes perfect. But - nobody's perfect, so why practice?

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**Zach****Member**- Registered: 2005-03-23
- Posts: 2,075

It's a natural human response to be like this when you're intimidated by someone.

Boy let me tell you what:

I bet you didn't know it, but I'm a fiddle player too.

And if you'd care to take a dare, I'll make a bet with you.

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**justlookingforthemoment****Moderator**- Registered: 2005-05-26
- Posts: 2,161

I think they're just jealous of people who speak English.

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**Mr T****Member**- Registered: 2005-03-30
- Posts: 1,012

I am sensing a sense of hostility towards myself and stewie right now.

I come back stronger than a powered-up Pac-Man

I bought a large popcorn @ the cinema the other day, it was pretty big...some might even say it was "large

Fatboy Slim is a Legend

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,626

Hostility? I hope not. I am thinking it is just light banter, or it gets deleted.

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**justlookingforthemoment****Moderator**- Registered: 2005-05-26
- Posts: 2,161

With Rod's magic square above (I see that it's gone missing) any 2x2 group of numbers in a quare that you pick also adds up to 34.

Here is a 5x5 magic square:

```
17 14 6 3 25
8 5 22 19 11
24 16 13 10 2
15 7 4 21 18
1 23 20 12 9
```

It is symmetrical around its centre square, which means if you pick any two numbers which are opposite, they will add up to twice the centre square.

Also, if you tiled a floor with the above magic square, you could select any 5x5 grid and it would still be magic.

*Last edited by justlookingforthemoment (2005-06-30 20:41:24)*

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