tdphys
Learned
Actually, I'm wrong, it doesn't need to be exponential.
What if we wanted to have a progression where the XP difference gaining a level that is 10 more then gaining xp from a level 4 levels behind.
Mathematically, this would be
xp(n) - xp(n-1) = 10* ( xp(n-4) - xp(n-5) )
If we start off with the 1000, 3000,6000,10000 levels in Pillars, we can get a recurrence that generates the rest up to level 12:
(done in python)
1000,
3000,
6000,
10000,
15000,
35000,
65000,
105000,
155000,
355000,
655000,
1055000,
1555000
This doesn't look so bad does it?
(coincidently, exponential multiplied by 1000):
1000,
2000,
7000,
20000,
54000,
148000,
403000,
1096000,
2980000,
8103000,
22026000,
59874000
Okay, that's a little more fearsome.
4 times, give probably what pillars needed to maintain approx level 1-4 pacing:
1000,
3000,
6000,
10000,
15000,
23000,
35000,
51000,
71000,
103000,
151000,
215000.
What if we wanted to have a progression where the XP difference gaining a level that is 10 more then gaining xp from a level 4 levels behind.
Mathematically, this would be
xp(n) - xp(n-1) = 10* ( xp(n-4) - xp(n-5) )
If we start off with the 1000, 3000,6000,10000 levels in Pillars, we can get a recurrence that generates the rest up to level 12:
(done in python)
1000,
3000,
6000,
10000,
15000,
35000,
65000,
105000,
155000,
355000,
655000,
1055000,
1555000
This doesn't look so bad does it?
(coincidently, exponential multiplied by 1000):
1000,
2000,
7000,
20000,
54000,
148000,
403000,
1096000,
2980000,
8103000,
22026000,
59874000
Okay, that's a little more fearsome.
4 times, give probably what pillars needed to maintain approx level 1-4 pacing:
1000,
3000,
6000,
10000,
15000,
23000,
35000,
51000,
71000,
103000,
151000,
215000.