[math-fun] Double alphamagic squares
This is insane! https://www.futilitycloset.com/2017/05/07/double-alphamagic-squares/ Best, É.
In response to Futility Closet's closing question, I would say that a triple-depth square of this kind is only possible if one adopts an extension to the traditional English number-naming scheme, like the proposed "zillions" John Conway and I worked up (documented reasonably well, with a couple of glitches, in Conway & Guy, *The Book of Numbers*). I think Knuth has another such scheme, and I'm sure there are others. A number whose name has a hundred billion letters will have a log (base 10) on the order of a billion, so a solution could probably be computed but not presented in any reasonable way. On Tue, May 9, 2017 at 5:33 AM, Eric Angelini <Eric.Angelini@kntv.be> wrote:
This is insane! https://www.futilitycloset.com/2017/05/07/double-alphamagic-squares/ Best, É.
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I have a friend who concluded exactly in the same way for the French language; you'll have to select between three possibilities in naming the "zillions". Best, É.
Le 9 mai 2017 à 19:23, Allan Wechsler <acwacw@gmail.com> a écrit :
In response to Futility Closet's closing question, I would say that a triple-depth square of this kind is only possible if one adopts an extension to the traditional English number-naming scheme, like the proposed "zillions" John Conway and I worked up (documented reasonably well, with a couple of glitches, in Conway & Guy, *The Book of Numbers*). I think Knuth has another such scheme, and I'm sure there are others.
A number whose name has a hundred billion letters will have a log (base 10) on the order of a billion, so a solution could probably be computed but not presented in any reasonable way.
On Tue, May 9, 2017 at 5:33 AM, Eric Angelini <Eric.Angelini@kntv.be> wrote:
This is insane! https://www.futilitycloset.com/2017/05/07/double-alphamagic-squares/ Best, É.
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participants (3)
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Allan Wechsler -
Eric Angelini -
Eric Angelini