current attempt for the "elemental gyroscope" (ring off five plus two poles)
air 1d30 (avg 15.5)
metal 1 2 21 22 23 24 (avg 15.5)
water 3 4 5 25 26 27 (avg 15)
wood 6 7 8 9 28 29 (avg 14.5)
fire 10 11 12 13 15 30 (avg 15.1666~)
earth 14 16 17 18 19 20 (avg 17.333~)
void 1d30
Obviously, the trouble here is that the probabilities are not even after adding a fifth part to the sequence, and that Earth's numbers range from average-to-above-average rather than going straight across the average line. This is, however, the best I've managed to come up with. Primary Element bonus would remain +3 and determining the die used for tie-breaking. I have to admit I don't really get the math enough to really analyse it properly, though.
The other problem is that the dice do not really admit to a proper production and control cycle, only one side of it - as depicted, the production cycle is the one shown, with each element feeding on the one above it and producing the one below. For the control cycle, each element should be weak to the one two up and control the one two down, but this doesn't really work with dice. Maybe explicitly moving it to tables (and giving up on the idea of a physically produced game) and having seperate offense and defense tables for each element, with offense following the production cycle and defense using the control cycle... Meh.
- CD
ETA: To be clear, I really don't think this would work, so I'm still really only serious about hammering the four-elementss version into shape.
ETA2: Enlightenment! Okay, maybe not, but a different attempt at graphing the relationships of the number blocks on the dice made the math clearer. The following dice should be a little more even:
01 02 19 20 21 22 = 85 /6= 14.166~
03 04 05 23 24 25 = 84 /6= 14
06 07 08 26 27 28 = 102 /6= 17
09 10 11 12 29 30 = 101 /6= 16.833~
13 14 15 16 17 18 = 93 /6= 15.5
... but it's not. I just suck at math. Still going to post the edit because that weas too much work not to.
Final edit: I think http://math.stackexchange.com/questions ... -stretched]this page would probably hold my answers, but I have no idea what the actual formula they're putting forth means. At all.
--
"Anko, what you do in your free time is your own choice. Use it wisely. And if you do not use it wisely, make sure you thoroughly enjoy whatever unwise thing you are doing." - HymnOfRagnorok as Orochimaru at SpaceBattles
woot Med. Eng., verb, 1st & 3rd pers. prsnt. sg. know, knows
air 1d30 (avg 15.5)
metal 1 2 21 22 23 24 (avg 15.5)
water 3 4 5 25 26 27 (avg 15)
wood 6 7 8 9 28 29 (avg 14.5)
fire 10 11 12 13 15 30 (avg 15.1666~)
earth 14 16 17 18 19 20 (avg 17.333~)
void 1d30
Obviously, the trouble here is that the probabilities are not even after adding a fifth part to the sequence, and that Earth's numbers range from average-to-above-average rather than going straight across the average line. This is, however, the best I've managed to come up with. Primary Element bonus would remain +3 and determining the die used for tie-breaking. I have to admit I don't really get the math enough to really analyse it properly, though.
The other problem is that the dice do not really admit to a proper production and control cycle, only one side of it - as depicted, the production cycle is the one shown, with each element feeding on the one above it and producing the one below. For the control cycle, each element should be weak to the one two up and control the one two down, but this doesn't really work with dice. Maybe explicitly moving it to tables (and giving up on the idea of a physically produced game) and having seperate offense and defense tables for each element, with offense following the production cycle and defense using the control cycle... Meh.
- CD
ETA: To be clear, I really don't think this would work, so I'm still really only serious about hammering the four-elementss version into shape.
ETA2: Enlightenment! Okay, maybe not, but a different attempt at graphing the relationships of the number blocks on the dice made the math clearer. The following dice should be a little more even:
01 02 19 20 21 22 = 85 /6= 14.166~
03 04 05 23 24 25 = 84 /6= 14
06 07 08 26 27 28 = 102 /6= 17
09 10 11 12 29 30 = 101 /6= 16.833~
13 14 15 16 17 18 = 93 /6= 15.5
... but it's not. I just suck at math. Still going to post the edit because that weas too much work not to.
Final edit: I think http://math.stackexchange.com/questions ... -stretched]this page would probably hold my answers, but I have no idea what the actual formula they're putting forth means. At all.
--
"Anko, what you do in your free time is your own choice. Use it wisely. And if you do not use it wisely, make sure you thoroughly enjoy whatever unwise thing you are doing." - HymnOfRagnorok as Orochimaru at SpaceBattles
woot Med. Eng., verb, 1st & 3rd pers. prsnt. sg. know, knows