munduses wrote:
I tried to solve one of these 7-symbol puzzles by using RudolfRocker's petpage as a guide. I got a value of 3 from the Key and the first two modifiers (first symbol only of course). But if the first symbol in the target has also the value of 3, does it mean that that combination won't work? Because then there wouldn't be any value left for the third modifier
For Base 7, think of it this way: if your sum is 7 or less, that's your result. If it's 8 or higher, it doesn't exist in base 7, so subtract 7 from it go get your result.
Best if I use an example:
Key 0,
target value VSo your
key is 7, and your
target is 1. Already, your key is higher than your target.
This means your "equation" is
7+?+?+?=
1We'll take a solution that we know works:
VVTThis gives you
7+
1+
1+
6Now, we all know that 7+1+1+6=15. But 15 is greater than 7, so subtract 7 from it. This gives you 8, which is STILL greater than 7. Subtract another 7 and you get your result:
1Second example:
Key T,
target value CSo your
key is 6, and your
target is 5We'll take a solution that we know works:
V8Z6+
1+
2+
36+1+2+3=12. 12>7, so we subtract 7 to get
5.
Hope that helps explain base 7 a little.
How does this apply?Instead of messing with the symbols, you can find variations of numbers that add correctly. IE, in the first example, find combos of numbers that add to 8 or 15. In the second example, find combos of numbers that add to 5, 12, or 19. Once you have the combos of numbers down, all you hafta do is look back at the chart that tells you which symbol goes with which number and convert it back.
Okay, end of math lesson for the day. :
Edit: I'm not sure if the numbers carry if they're over 7, or if the extras just vanish. That's why I recommend using the last symbol to do matching - it doesn't make a difference what the others do.