Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

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No worries

If you did a change of variables

then

remains unchanged.

You know how to solve

(eigenvectors right?)

so what would that change of variables have to be to put the equation in this form?

So we only need:

So if is invertible, let:

Then you can solve and then go back to the original variables by sending:

You could visualise A6 as all the even permutations of the points of a hexagon.

Take 4 of the points on a hexagon, then can you get all permutations of those 4 points in A6?

All the even permutations are obvious, and the odd ones can be made even by swapping the extra 2 points you didn't choose!

I don't think music could send any practical message other than- hey we exist and we like this kind of patterns. It's not even necessary that an ETI would appreciate music...

Would there be any value in sending a signal of music to an extra terrestrial intelligence?

Thanks for the welcome!

What do you mean? Is that a satirical comment about modern music?!

78

note these triangular numbers go:

...,**4**5,5**5**,6**6**,**78,9**1, quite cool that 4,5,6,7,8,9 appear in order with no interruptions!

**matthen**- Replies: 7

Hey,

Check out the SETI Challenge: http://seti.matthen.com/

It has some decoding challenges, where you are presented with a made up signal from an extra terrestrial source, and you must try to decode what it means.

Good luck!

Matt

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