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Old 04-23-2011, 11:14 AM   #1
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Default Math question (semi-simple)

What makes the following magic square:

11 05 08 10
02 16 13 03
14 04 01 15
07 09 12 06

so special?
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Old 04-23-2011, 11:36 AM   #2
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Default Re: Math question (semi-simple)

All of the Rows/Columns/Diagonals add up to 34.

But that's the very point of a magic square, so perhaps it's something else
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Old 04-23-2011, 12:30 PM   #3
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Default something else

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Originally Posted by j03 View Post
All of the Rows/Columns/Diagonals add up to 34.

But that's the very point of a magic square, so perhaps it's something else
It is something else (the only one out of 880 4 x 4 normal magic squares that has this property).
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Old 04-23-2011, 12:54 PM   #4
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Default Re: Math question (semi-simple)

Ah - the sum of the four terms including (and touching) the corner terms is also 34?
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Old 04-23-2011, 01:00 PM   #5
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Default Secondary magic number

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Ah - the sum of the four terms including (and touching) the corner terms is also 34?
You forgot the center square, the intermediate squares, the quadrants and the two lopsided squares (btw there are 86 ways to add up to 34).

What I'm talking about here is a discovery I made within the last two years about a secondary magic number with this square.
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Old 04-23-2011, 01:08 PM   #6
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Default Re: Math question (semi-simple)

So I did.
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Old 04-23-2011, 07:05 PM   #7
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Default Re: Math question (semi-simple)

Unless it is naturally occurring in nature it is not a special set of numbers
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Old 04-23-2011, 07:29 PM   #8
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Default Re: Math question (semi-simple)

I was just wondering how I managed to get all the way through primary school, secondary school, GSCE, A-level and two years of maths at uni without coming across "Magic Squares"
then I realised, it's because they are a curiosity, I had come across the most famous one (with numbers 1 - 9 making a symmetrical shape).
but I forgot about them as they appear to have no practical use what-so-ever.
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Old 04-23-2011, 07:30 PM   #9
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Default Re: Math question (semi-simple)

HEY! What's so special about this magic triangle?

1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1

I'm sorry it doesn't format correct. It should be a scalene triangle with the bottom being the different length.
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Old 04-23-2011, 07:39 PM   #10
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Default Re: Math question (semi-simple)

that the two numbers above the number below make the sum of that number
that going down the triangle the outside is always 1's
the second row is always one higher that the one above it. (regular counting)
that the third row is triangular numbers.
that is was invented by a floppy haired French man?

what's not special about that triangle???

I wouldn't exactly call it magic though...
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