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I like the paper folding on its self.
Yes, that's the secret to Millefeuille
That would be some custard slice.
One I like is that your phone number is somewhere in the digits of pi. And my phone number, and everyone else's.
Do you think there's some sort of Greg's at the end of the universe that stocks these delicacies?
I like that a half-step in an Octave has a frequency ratio of 2^(1/12). It just seems just the right size.
Dam how do you do powers?
One that I find quite useful in my work as an accountant is the fact that if you swap two digits in a number then the difference between this and the original number will divide by nine.
It's a good way of finding errors in adding up numbers.
So for example 1050 and 1005 difference equals 45, divides by 9.
or 4743524 and 4734524 difference equals 9000, divides by 9.
or 27854934 and 72854934 difference equals 45000000, divides by 9.
One that I find quite useful in my work as an accountant is the fact that if you swap two digits in a number then the difference between this and the original number will divide by nine.
The ancient Celts and Vikings were obsessed with the number 9 because it does so many cool things like that.
I like that a half-step in an Octave has a frequency ratio of 2^(1/12)
Or to put it another way, the frequency ratio is 2^-(1+2+3+...) 😉
Like the anecdote about von Neumann in the book [i]A beautiful mind[/i] - two grad students thought they'd get one over on the Great Man by asking him the following - imagine two cyclists 20 miles apart, who begin cycling toward one another at 10 mph [in a straight line]. At the same instant, a fly on the wheel of the first rider buzzes off toward the second at 15 mph. When it reaches the wheel of the second, it turns round and flies back to the first, and then turns round and so on and so on. How far does the fly travel before getting smushed between the two wheels of the cyclists meeting in the middle of their journey?
von Neumann instantly replies 15 miles. Somewhat crestfallen, the students ask him if he's heard it before then? No, replies a quizzical von Neumann, I just summed the infinite series...
<span style="color: #444444;">One I like is that your phone number is somewhere in the digits of pi. And my phone number, and everyone else’s.</span>
If you printed the whole of Pi (and therefore everyones telephone numbers ever) on a piece of paper the size of the universe and folded it 103 times it would make for a better TV spectacle to see Geoff Capes tear it in half than it would the slim A5 pamphlet that got posted through my door recently pretending to be the Yellow Pages
also about a foot (12.57 inches).
Oops. Divide by two and all is well.
I like that a half-step in an Octave has a frequency ratio of 2^(1/12)
That's for convenience. Musical scale used to be based more on what was pleasing to ear. Maths doesn't quite do as well.