## Ancient Puzzle Gets New Lease on 'Geomagical' Life 73 73

techbeat writes

*"An ancient mathematical puzzle has found a new lease on life, reports New Scientist. The magic square is the basis for Sudoku, pops up on the back of a turtle in Chinese legend and provides a playful way to introduce children to arithmetic. But all this time it has been concealing a more complex geometrical form, says recreational mathematician Lee Sallows. He recently released dozens of examples of his 'geomagic squares' online. 'To come up with this after thousands of years of study of magic squares is pretty amazing,' blogged author Alex Bellos. Magic squares are used to help create codes for transmitting information and in the design of drug trials so geomagic ones may have real-world uses, says mathematician Peter Cameron. New Scientist has also put up a gallery of the geomagic squares."*
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It's turtles all the way down!Oh, and I was going to use Italic instead of bold text, but the <i> doesn't seem to work in the new design... or maybe it's just me.

## Not exactly a turtle (Score:5, Informative)

Legend said that it carried strange messages on its shell. The messages looked simple (as you can see in the picture above) but people later found the complex meanings behind them.

This messages are the building blocks of most numerologies in ancient China, including Fengshui and I-Ching.

This is one of the most famous OPA (Out of Place Artifact) in China history.

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It was no ordinary turtle. It is called a dragon turtle which is huge in size with a dragon head: http://www.kunde.org.tw/image3/01-book-032.jpg [kunde.org.tw]

Legend said that it carried strange messages on its shell. The messages looked simple (as you can see in the picture above) but people later found the complex meanings behind them.

This is one of the most famous OPA (Out of Place Artifact) in China history.

If it were a mock turtle, would the messages be wrong mockingly?

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It was no ordinary turtle. It is called a dragon turtle which is huge in size with a dragon head

Well there's a fat bald guy riding this one [kateysgarden.com], so I can't read what its shell says. Damn it, there's always a fat guy in the way.

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Not the Fonz.

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Is that Boom Boom riding a Koopa Troopa?

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Yeah, get a goat!

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This is a bug caused by having a long slashdot username. The long username means that the left menubar is extra-wide, and covers the main content pane. I have reported this issue, so maybe we'll get a fix one day.

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Looks fine in Firefox.

That said, I think it could be argued that sites are getting too complex, causing them to take too long to load and very prone to misrendering.

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Looks fine in Firefox.

That's because your username is short

## His writing style is atrocious. (Score:2)

I went to the site to find out what geomagic squares are, but by the time I reached the end of the summary I completely lost interest.

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I went to the site to find out what geomagic squares are, but by the time I reached the end of the summary I completely lost interest.

Oh no, not his writing style. Fucking idiot - look at his gallery, its actually very clever and not everyone can afford a writing staff to get past the crap filter on morons like you (which I assume is a self-feeding mechanism, as you keep getting spoon fed BS by such filters throughout your life you will only ever know such). Swearing for your benefit in hopes to publicly degrade you while making you stop reading at the first line.

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## ACs can have great comments (Score:2)

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Improving slashdot, step one: disable anonymous comments.

You know you can set modifiers on AC comments in your preferences, right? -3 is a good setting.

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Easy to understand, but not exactly... enthusiastic?

A similar site (and they're also promoting a book), prime curios [utm.edu],

exudesenthusiasm imo, encourages user input, and I think promotes interest in math. I think the 'geomagical' site could use some editors (which prime curios probably utilizes).## Re: (Score:1)

## Recreational Mathematician? (Score:2)

Sounds suspicious. Oh I bet it's 'perfectly safe', but you start out on math and who knows where you'll end up? Smoking crack out of rolled up nonstandard analysis theorems in a gutter in cambridge? It's a gateway drug, I tell ya.

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## Recreational Mathematician! (Score:1)

LOL, thank you! I do the occasional diffy Q just to relax, as well as code 'for fun' (well, I don't get paid anyway).

(Well, I also do diffy Qs keep up skills so I can make sure I stay ahead of my kids, who apparently aren't overly fond of mathematics. If you don't use it, ya LOSE it :D )

## New Scientist = odd number fail (Score:2)

Check it out on page 5 of the New Scientist link [newscientist.com]. Apparently, they think 8 is an odd number, and 9 and 11 are not. So much for the "new math."

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^

THIS is why you read /. @ full ...pls MOD UP!

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Also on that page: 1 + 3 + 5 + ... + 15 + 17 = 3.3^3

wtf?

if I do 1+3+5+7+9+11+13+15+17 I get 81 which is 3^4

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By 3.3^3, they mean 3 x 3^3, not (3.3)^3. It's an unfortunate use of the period symbol to denote multiplication because standard keyboards do not have the centered dot symbol.

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Ah, because they want to emphasize the fact that the "sum" of the figures in a given row, column, or diagonal is a 3x3x3 cube, and thus the total number of cubic units is three times the sum of a single row/column, or 3 x 3^3, which in turn is the sum of the nine consecutive odd integers from 1 to 17, which form the individual entries of the geomagical square.

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· (and I think even ·) has worked fine in HTML for years (albeit not on /. for some reason). I use parentheses, dots, and carets myself, (or enter it in http://www.wolframalpha.com/ [wolframalpha.com] and copy the pretty mathematically-correct image), but I'm not New Scientist.

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I read it as "three and three tenths," didn't know there was another way to read that. Thanks for the tip.

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elementsof the square, not the square itself. So, in his formalism, numerical magic squares (of any dimension) are just 1-D geomagic squares, where the numbers could represent line segments or arcs of a circle.## Re: (Score:2)

## Just a square? (Score:1)

So he hasn't found the Time Cube yet...

## Nice work, but incomplete? (Score:1)

I'm no mathematician, but I see no reason to stop at geometric shapes. It seems to me that any arbitrary set T with an addition operator defined over it has the potential to be a space in which magic squares can be found. In the case of this guy's work, that set happens to be the set of n-dimensional geometric shapes with the addition operator defined as a geometric union. In traditional magic squares, that set is simply {x : 0 x 10}.

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anysubset of R^n. Addition would still be a simple set union.## What the... (Score:1)

## Hard Drop (Score:2)

## pentalobular containment (Score:2)

Not much excitement in this thread.

Last week I spent nearly a full day on Knuth's Dancing Links algorithm in relation to a combinatorial problem in coding theory (it's not a strong fit, but I thought there might be a stray intuition).

This little divertimento lead me to discover some clever tricks in how to set up the Dancing Links matrix for a certain class of problems to avoid traversing symmetric solutions. Considering the apathy level on this story, it would be a waste of breath to spell it out here.

It'

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the 24 palladium quasi-crystals oscillation nodes.

Anyone? It's the key to pentalobular Arc reactor containment, for anyone with a giant pile of mil-scrap.

Tony Stark, is that you?