The magnificence of the 3, 6 and 9

He had moments of billiance, but was mostly a nutcase. The repetition of 9 is the key to nothing at all.

maths plus nonsequitors and meaningless statements.

NT

How do yo know any of that? Can you prove that the indefinite subdivision of the circle always yields angles the sum of digits of which is always 9, as just one example?

It's not special to circles, nor "360".

By the way, 360 is an arbitrary human construction. The only reason it's convenient is, it has lots of factors of 2, 3 and 5. So it's easy to divide by modest amounts and still get whole numbers. More practically and historically... it relates closely to the number of days in a year.

The video is stupid because literally everything in it arises out of the "nines complement" behavior of arithmetic.

If we worked in base 5, the video would have to be about the number 4. If we worked in hexadecimal, it would be about 15.

There is absolutely nothing else special about 9, that they use at least.

Tim

on

ide

It's neat bit of trivia that any number divisible by 9 the digits add up to 9 and any number divisible by 3 the digits add up to 3, 6 or 9. It's one of of those tricks to quickly determine if a really large number might be p rime. Not even, doesn't end in 5 and the digits don't add up to 3, 6 or 9 t hen the number might be prime.

Indeed, it's guaranteed for any number less than 49. 49 of course is 7^2, and anything greater has to be checked the hard way (because there's no cool rule for multiples of 7). It would be easy if converted to octal (base 8), but I suppose that's just as hard in the end.

Tim

It's also one of the tricks used on "intelligence tests".

Don't you know what the threesixnineaverse has to say?

It says this...

That would make a neat clock face.

It follows from 360 being divisible by 9 and 9 not being a multiple of 2

If there were 9 degrees instead of 360 the same result would hold.

digits summing to 9 is well understood phenomenon relating to multiples of 9

with 360 after the third division (45 degrees) every subsequent division is equivalent to multiplying by 5 (as far as sum of digits goes)

etc...

Clearly multiplying by 5 will not remove the factor of 9