Reply To: Health of banner items

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dr_ishmael
@dr_ishmael

@kerravon That data point allowed me to peg your entire dataset – and you’re absolutely right! Your gold items, both tops/flags and emblems, are levels 13 through 17 @ 2*, with no gaps (that’s equivalent to 0* through 4* @ level 15).

I’ve also solved the pattern for top/flag Wood league stats, from which everything else is calculated per @killerkea’s and my summaries above. Unfortunately, I haven’t been able to devise a formula to represent it, so I’ll just have to describe it.

For a certain number of levels (on a pattern of 6/6/4/4), the base stat is increased by a static amount. This amount is always a multiple of 5, and it increases by 5 for each segment of the pattern. On the last level of each segment, a bonus increase is applied; this bonus is equal to 5 * (level + 3).

Actually, it’s probably better to just make a table:

Wood League top/flag item base stats @ 2*
(subtract 2 from the level to get a 0* progression)

Stats flagged with ### have been recorded directly by myself or @kerravon
  (or were derived from a stat reported at a higher league)

Level   Delta   Bonus   Stat
   -3                      0
   -2      45             45
   -1      45             90
    0      45            135
    1      45            180
    2      45            225
    3      45      30    300
    4      50            350
    5      50            400
    6      50            450
    7      50            500
    8      50            550
    9      50      60    660
   10      55            715 ###
   11      55            770 ###
   12      55            825 ###
   13      55      80    960 ###
   14      60           1020 ###
   15      60           1080 ###
   16      60           1140 ###
   17      60      100  1300 ###
   18      65           1365 ###
   19      65           1430
   20      65           1495
   21      65           1560
   22      65           1625
   23      65      130  1820
   24      70           1890 ###
   25      70           1960 ###
   26      70           2030 ###
   27      70           2100 ###
   28      70           2170
   29      70      160  2400
   30      75           2475 ###
   31      75           2550 ###
   32      75           2625 ###
   33      75      180  2880 ###
   34      80           2960 ###
   35      80           3040 ###
   36      80           3120 ###
   37      80      200  3400 ###
   38      85           3485
   39      85           3570 ###
   40      85           3655 ###
   41      85           3740 ###
   42      85           3825 ###
   43      85           3910 ###

This progression fits all known data points. The fact that it goes to 0 at a level of -3 fits with other formulae I’ve derived for bird base stats and crafted item stats, which are both linear with respect to (level+3) and thus also give 0 at level -3.

The only thing missing is a bonus of 230 at level 43 (aka the 4-star reward wheel items at level 41). For some reason these items are only 85 points stronger than level 42 items, when the pattern says they should be 230 + 85 = 315 points stronger. One explanation is that Rovio didn’t want there to be a huge stat gap between the most-powerful items and the second-most-powerful items, so they deliberately omitted the bonus for now. When they raise the level cap, they’ll probably add it back.

Now we can calculate the health of any banner item given its level, stars, and league. Whoo!