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zakruti.com » Knowledge, science, education » Numberphile
The Parker Square - Numberphile

The Parker Square - Numberphile

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Rating: 4.0; Vote: 1
The Parker Square Drop: The problem is that unlike normal magic squares, squared ones give numbers fewer options. Normally, 14 can be done in several ways with 3 different numbers, so a magic square for it is not hard to make. However, 14 is basically impossible to make with squares.
I think i know where to start. The 7825 episode. That one took care of two solutions. Finding numbers with an algorithm similar to that would help, but only if it were computable.

Date: 2022-04-08

Comments and reviews: 9


Finally, I've seen the Parker Square origin video. Now the other half of the Numberphile comments sections makes sense.
Also, I Googled Parker Square to see how far it had made it into the mainstream. Turns out there is a Parker Square near where I live. Not what I was looking for, but still.

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This doesn't work at all.
He mentioned
1 1 1
1 1 1
1 1 1
which would work if numbers are allowed to be repeated.
Even something simple like
1 2 3
2 3 1
3 1 2
has the exact same properties as the one he found, also missing a diagonal.

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well, I guess the Parker Square is a thing now!
I would say for an -Imperfect- magic square, a minimum set of rules is that no column, row, or diagonal use the same combination of digits, this would allow some repetition but not complete duplications

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I come back to this video time & time again. To be (virtually) in the room when a mathematical phenomenon becomes named for all perpetuity. it gives me shivers. How different would we be without the live Hindenburg disaster newscast?
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Now If you know if you let A=a-2: B=b-2. If you know A, C, and H then B=2-A+2-C-3-H, D=2-C-H. E=A+C-H, F=2-A-H, G=2-A+C-2-H, I-A+2-C-2-H, the hard part is finding a, c and h such that B, D, E, F, G and I are all squares of integers
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lot of mentions of pythagorian triples in comments here. try quads instead and use 3D Geogebra. hours of fun. circles within circles conneccting to circles on the sphere. you get a spherical arrow head. weird
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0: 46 wait what? That still being an open question? Cuz, I think isn't that difficult to prove that it is imposible, I think I can prove it with some pythagorean aritmetics and some algebra.
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Fairly certain I can come up with a few by running space c program on a cluster of raspberry pies. I don't know how long they'll take to find a solution but definitely doable
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3: 40 - I'm not calling it the Parker square.
2021 - 'Parker' becomes an adjective in maths meaning 'almost worked'. It's not just squares, EVERYthing can be Parker. :-D

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