Page 1 of 1
Posted: Tue Jun 28, 2005 3:43 am
by ChrisWerner
Posted: Tue Jun 28, 2005 4:30 am
by Lima
Hi,
very nice page, indeed!
With the operation they tell to do you always obtain the number 9, or a number of 2 digit. If you sum the two digit you obtain 9 again.
So you always find the symbol related to the number 9
You obtain a symbol different each time because the matrix of simbols change every try.
If you chose a number > to 0 and > to 9 the game doesn't work.
I'm not a mathematician, so I can't give you a rigorous demostraion, but I think this is related to the base of number used. In this case 10.
I've tried the same algorithm for the hex numbers, but it doesn't work. Probably the formula must be changed a little.
Cheers
Posted: Tue Jun 28, 2005 4:32 am
by Lima
ops, I wanna write >0 and <9, obviously
Posted: Tue Jun 28, 2005 4:39 am
by Lima
Arg, I checked the calculations (sorry) and i've make a mistake
(you always obtain E, wich is the last digit of the serie, like 9 for a the base 10)
So probably is general fo every 2 digits number.
I'm also curious for a rigorous demostration. Anyone?
Posted: Tue Jun 28, 2005 6:57 am
by Counterparts
Let's say the two digits are a and b.
So the number is a * 10 + b
Then you subtract from that a + b, so we have:
(a * 10 + b) - (a + b)
...which gives...
9a
always.
Now look at the chart - all symbols associated with numbers which are a multiple of nine are the same.
Simple, no?
Posted: Tue Jun 28, 2005 4:11 pm
by hubird
Posted: Thu Jun 30, 2005 1:18 am
by Gordon Gekko
well Lima, i think you owe the man a coupla thanks?
Posted: Thu Jun 30, 2005 5:23 am
by Lima
Yes, off course! Thanks a lot Counterparts!
Posted: Thu Jun 30, 2005 5:33 am
by Counterparts
No problem