**Pathfinder - Sacred Geometry calculator**

Sacred geometry is a feat in pathfinder that slows down games quite a bit... I was wondering if anybody knew of a calculator out there for use with this feat.

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Sacred geometry is a feat in pathfinder that slows down games quite a bit... I was wondering if anybody knew of a calculator out there for use with this feat.

According to various discussions, doing it right is trickier than it looks, but as long as you don't care if it finds ALL possible solutions it's not that bad. Also, apparently Calculating Mind is a waste of a feat and you never need more than 12 ranks in Engineering ever.

To speed up the game, perhaps you could consider adding a Countdown Clock? That would be a) faster, b) better-balanced (you're more likely to fail) and c) more entertaining.

You could probably make something which tries combinations much more smartly. For example, at the very least you know that the last operation can't be a multiplication (and I would guess it's probably not going to be a division in most cases). It would be harder then, though, to make sure that you've tried all the possibilities if the more likely things turn out not to work after all.

You only need 4 numbers to make each of the L9 constants, if you can pick them (but you do need at least 4). The lower-level ones are probably the same or easier.

So maybe you need to roll 6, 6, 3 and 1 so that you can do 6x6x3 - 1 = 107. Well, if you don't roll those numbers, you can probably still make them from other numbers. If you get really unlucky you might need as many as five rolls to make a 6 (i.e. roll five 1s - then you can do (1+1+1)x(1+1), worst case scenario) so a very naive upper limit is 20 dice. We can definitely make any of these with 20 rolls, because we can just make those four numbers and then get 107.

But actually it's way better than that.

Firstly, I probably won't need five dice for every number I want to make. You can always make a 1 with just three numbers, for example (the only way you don't already have a 1 or two numbers 1 apart is 2, 4, 6 in which case you can do (2+4)/6 or similar), so in that example I'd be looking at more like 5+5+5?+3 dice, so certainly no more than 18.

Secondly I'll get some overlaps. The only(?) way it takes me 5 dice to make a 6 is if I roll six 1s. Well, if I rolled six 1s, I will just be able to use on of them as my 1, so I won't need more rolls to make that. The worst case for the 6 prevents me from suffering the worst case for my 1, so I'm looking at more like 15 rolls, tops now (maybe fewer, I didn't bother looking at the 3).

Thirdly this is to make one specific expression - but to get a L9 prime, well, I have three different primes I can make, and I just spotted five different four-number expressions which will hit one of those. This gives me way more flexibility - to use the same example again, if in trying to get two 6s I just roll ten 1s, well OK, I'll just make 5x5x4 + 1 instead, because that uses fewer dice.

So yeah, you'd have to work it all through, but 12 seems like a pretty plausible cap - in fact I wouldn't have been surprised if it was lower.

Of course, if you can show that that's true, it means that once you have 12 ranks you don't need a calculator at all because you always win.

Wait, you can use fewer dice? I always thought you had to use all of them no matter what?

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