Supplement Four
SOC-14 5K
I'm playing around with the T5 task system, looking for a good, easy way to implement a 2D, roll high mechanic in its place. I'm just thinking out loud here in case someone else has a good idea.
Throwing 1D is linear.
Throwing 2D, you get a pyramid--a straight line to the mid-point, then a declining straight line back down.
Throwing 3D, you get a nice, fat, juicy bell curve.
Throwing 4D or more, you get a bell curve, but the more dice you throw, the more narrow the curve. All of the results tend to cluster towards the middle, like gravity pulling them to the center.
In other words, the distribution on 4D or more makes it less and less likely that extremes will be thrown.
People sometimes criticize 2D systems because there are only 11 outcomes. But, all 11 of those outcomes are useful. If you throw 4D or more dice, the extremes become less and less useful.
What am I talking about?
Check out this 2D, higher is better, success outcome chart.
One can argue that there's really no difference between rolling 2 or rolling 3, but you've got at least a 5% change for every other result.
Now, look at this similar chart for a 5D throw.
So, here, results 5-12 are all pretty much the same, and at the other end, results 25-30 are all very close, too.
That leaves about 11 results (out of the total of 25) that represent a result that is practically different from the others.
Let's compare the 11 results from both charts.
See where I'm going with this?
I'm interested in finding a way to easily map the 11 different outcomes from the 5D spread to the 11 available on the 2D spread. And, I want to do this in a way that would be extremely easy for the player--where he could eyeball the 5D target and instantly know what the equivalent 2D target would be.
For example, if the 5D target is 18, I want the player to know that we're talking about a 2D target number of 7. 5D targets of 1-12 would convert to a 2D target of 2 (100%). The same on the other end. 5D targets of 24-30 would convert to 2D targets of 12 (3%).
Anybody have any useful input on this?
Throwing 1D is linear.
Throwing 2D, you get a pyramid--a straight line to the mid-point, then a declining straight line back down.
Throwing 3D, you get a nice, fat, juicy bell curve.
Throwing 4D or more, you get a bell curve, but the more dice you throw, the more narrow the curve. All of the results tend to cluster towards the middle, like gravity pulling them to the center.
In other words, the distribution on 4D or more makes it less and less likely that extremes will be thrown.
People sometimes criticize 2D systems because there are only 11 outcomes. But, all 11 of those outcomes are useful. If you throw 4D or more dice, the extremes become less and less useful.
What am I talking about?
Check out this 2D, higher is better, success outcome chart.
Code:
2 100%
3 97%
4 92%
5 83%
6 72%
7 58%
8 42%
9 28%
10 17%
11 8%
12 3%
One can argue that there's really no difference between rolling 2 or rolling 3, but you've got at least a 5% change for every other result.
Now, look at this similar chart for a 5D throw.
Code:
5 100%
6 99%
7 99%
8 99%
9 99%
10 98%
11 97%
12 94%
13 90%
14 85%
15 78%
16 69%
17 60%
18 50%
19 40%
20 31%
21 22%
22 15%
23 10%
24 6%
25 3%
26 2%
27 1%
28 1%
29 1%
30 1%
So, here, results 5-12 are all pretty much the same, and at the other end, results 25-30 are all very close, too.
That leaves about 11 results (out of the total of 25) that represent a result that is practically different from the others.
Let's compare the 11 results from both charts.
Code:
2 100% 13 90%
3 97% 14 85%
4 92% 15 78%
5 83% 16 69%
6 72% 17 60%
7 58% 18 50%
8 42% 19 40%
9 28% 20 31%
10 17% 21 22%
11 8% 22 15%
12 3% 23 10%
See where I'm going with this?
I'm interested in finding a way to easily map the 11 different outcomes from the 5D spread to the 11 available on the 2D spread. And, I want to do this in a way that would be extremely easy for the player--where he could eyeball the 5D target and instantly know what the equivalent 2D target would be.
For example, if the 5D target is 18, I want the player to know that we're talking about a 2D target number of 7. 5D targets of 1-12 would convert to a 2D target of 2 (100%). The same on the other end. 5D targets of 24-30 would convert to 2D targets of 12 (3%).
Anybody have any useful input on this?