- #1

Simon Bridge

Science Advisor

Homework Helper

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... OK there's a typo for the 5 ... should be ##\small [\sqrt{9}]!-(9/9)## and the one for 7 looks a bit forced...

What I'm wondering is if there are other sets that do something like this ... i.e. so for a given integer Z, we can find another integer z<Z so that the integers ≤Z can be represented using the same n (integer) instances of z in each case.

It'll probably help of Z is something with lots of divisors ... i.e. Z= oh I dunno... 12.

Or is it just a case of "given sufficient cleverness" - which is to say that there are so many legitimate mathematical operations that it is always possible to create this effect?

Aside:

Millenialists take note: hold the clock upside down and all the numbers are made out of three 6's.