And now, a couple of riders for amusement:
1. Show your working! Rigorous formal proof, please, not simple enumeration!....
This might amuse those of a mathematical persuasion.I believe it is possible with roman numerals.
We have a novelty advent calendar. For anyone brought up in a different faith, it counts down the days from 1 to 25 December. Ours consists of two numbered wooden cubes which you can rearrange to display every integer from 25 to zero.
What numbers are painted on each cube?
The problem with the analytic solution is that 0.83 of an aircraft carrier, for instance, won't float, and if you add or subtract one you have to rethink all its escorts and tankers...... So they had to invent an entirely new branch of mathematics.As is often the case, the Greeks got their first.
While individual equations present a kind of puzzle and have been considered throughout history, the formulation of general theories of Diophantine equations (beyond the case of linear and quadratic equations) was an achievement of the twentieth century.
Occasionally, one observes without comment.Golly gosh Alan, I've gone all red.
I'm embarrassed to be a member of this species every time I come across an unnecessary countdown, but the occasional flash of inspiration like Petro's Roman numerals restores some hope that all is not lost.
If you use base six the problem is trivial; 2 dice numbered 0 to 5 will do.Indeed.
Athenian aircraft carriers?Best sort (at the time).
We can only get to 256 where I live.If you use base six the problem is trivial; 2 dice numbered 0 to 5 will do.Indeed.
At one time I won a (non-monetary) bet that I could count over 1000 on my fingers. The pour soul didn't say I couldn't use base 2. :-D
I was using my fingers as a ten-digit binary display. 1111111111 (base 2) = (base 10) 512 + 256 + 128 + 64 + 32 + 16 + 8 +4 + 2 +1 = (base 10) = 1023We can only get to 256 where I live.If you use base six the problem is trivial; 2 dice numbered 0 to 5 will do.Indeed.
At one time I won a (non-monetary) bet that I could count over 1000 on my fingers. The pour soul didn't say I couldn't use base 2. :-D
You cheated by counting thumbs as fingers!It's hardly "cheating" when everyone does it.
You cheated by counting thumbs as fingers!
Because you need a double zero it is impossible.You can actually do away with the "V" on the 2a) cube, as long as you substitute it for a blank face. If you are willing to hide the one,This might amuse those of a mathematical persuasion.I believe it is possible with roman numerals.
We have a novelty advent calendar. For anyone brought up in a different faith, it counts down the days from 1 to 25 December. Ours consists of two numbered wooden cubes which you can rearrange to display every integer from 25 to zero.
What numbers are painted on each cube?
1a) no face, X, V, IX, XX, XV
2a)I,II, III, IV, V, X
3
I could be wrong!