I have mentioned it before, but ET didn’t really consider it because I didn’t make it clear that it still works with weighted epeens

quangntenemy Posted:

You can use some kind of logarithm functions to make sure the peen length doesn’t rise too high.

For example we can use something like this:

peen length = log(peen count + 1) + 3 * sqrt(log(peen count + 1))

0 peen: length = log(1) + 3 * sqrt(log(1)) = 0
1 peen: length = log(2) + 3 * sqrt(log(2)) = 3.19081101403304
2 peens: length = log(3) + 3 * sqrt(log(3)) = 4.24305351057273
5 peens: length = log(6) + 3 * sqrt(log(6)) = 5.80745806636561
6 peens: length = log(7) + 3 * sqrt(log(7)) = 6.13078665159369    <-- easy to get the first 6"
10 peens: length = log(11) + 3 * sqrt(log(11)) = 7.04343694790853
20 peens: length = log(21) + 3 * sqrt(log(21)) = 8.27909041794021
30 peens: length = log(31) + 3 * sqrt(log(31)) = 8.99329335187138
40 peens: length = log(41) + 3 * sqrt(log(41)) = 9.49476126965717
50 peens: length = log(51) + 3 * sqrt(log(51)) = 9.88047511765105
60 peens: length = log(61) + 3 * sqrt(log(61)) = 10.1934608777359
100 peens: length = log(101) + 3 * sqrt(log(101)) = 11.0599699837855
To reach 13" you need 325 peens, which is very far in the future.
To reach 15" you need more than 1000, which will take a lifetime.

For weighted epeens, let’s say we can divide them into: Easy (1 point), Medium (2 points), Hard (3 points) and Insane (4 points). At the moment with 150 epeens I think the maximum total should be about 300 points, with the majority around 150 points.

Now the formula should be something like:

peen length = log(total + 1) + 2.7 * sqrt(log(total + 1))

Sample values:

total     peen length
5         5.40588820665185
10        6.57888278039752
20        7.75563361991853
50        9.28561016915837
100       10.4154850370911
150       11.0650868782458
300       12.1572911792674
500       12.9485492438118
1000      14.0055725409044
2000      15.0454753473312