Carry capacity - what's the pattern?

By Mr Adventurer, in Dark Heresy

Looking at the table for Carrying Capacity on p215 of the corebook, I can't see what the pattern of increasing the weight limit as SB+TB increases is.

There's a character who is close to exceeding the table, so we need to know what the algorithm is so we can extend it.

Does anyone know what method the designers used to reach the figures that appear in the table?

(Admittedly the character is in a Rogue Trader game, but as far as I can see the tables are the same - I assume RT just copied over DH's one)

Thanks guys, it's a funny old question.

Sorry, dude, I'm relatively certain there's no pattern here. If there is, it seems to be some sort of piecewise function that's way too difficult for me to figure out without investing a lot more time in it.

I would say your best bet would be EITHER

-Use the pattern that appears in rows 1-4, since the table is so non-linear anyway.

-Ask FFG and see what they say you should do.

(DISCLAIMER: I just woke up, my math might not be functioning completely. I might have missed something.)

There is a pattern actually.

Total score 13-15: 112/113 (probably 112.5, but they didn't want to use decimals) difference between ranks

Total score 16-17: double the previous, 225 difference

Total score 18-20: double the previous, 450 difference

By following that pattern you get:

21-22: +950

23-25: +1900

26-27: +3800

And so forth. I would be tempted to double increases for every third increase, or perhaps go 1.5 for every other increase. I think you're clearly in the realm of house rules anyway by now ;)

Does anyone have any software for calculating the equation that actually works ?

I tried using OpenOffice to format a trend line. It said the best fit line is f(x) = 1.82-1.42^x with an exponential fit and put a best fit line that was pretty close (not perfect, but close enough). However the best fit equation does not match the equation at all. Note the -1.42^x term, that will get larger as x increases so f(x) decreases as x increases. Yet the data, and the best fit line, shows the reverse.

To save you having to type the data out yourself, here it is separated by commas:

0,0.9
1,2.25
2,4.5
3,9
4,18
5,27
6,36
7,45
8,56
9,67
10,78
11,90
12,112
13,225
14,337
15,450
16,675
17,900
18,1350
19,1800
20,2250

Nihilius said:

There is a pattern actually.

Total score 13-15: 112/113 (probably 112.5, but they didn't want to use decimals) difference between ranks

Total score 16-17: double the previous, 225 difference

Total score 18-20: double the previous, 450 difference

By following that pattern you get:

21-22: +950

23-25: +1900

26-27: +3800

And so forth. I would be tempted to double increases for every third increase, or perhaps go 1.5 for every other increase. I think you're clearly in the realm of house rules anyway by now ;)

Mr Adventurer said:

I'm sorry, I'm not following you. What do you mean "double the previous, XXX difference"?


Yeah that was sort of badly worded...

For every 2nd or 3rd jump in total score, you double the difference from the previous total to get the new carrying capacity.

Example:
The difference between totals 15 > 16 = 225 (675-450). So to get the new weight for total score 17, you just do 675 + 225 = 900.

Once you "move up" according to the pattern (every 2nd or 3rd jump in total score), you double the difference to get the new weight. So for example, from 17 > 18 you double 225 and get 450. The carrying capacity for total score 17 was 900 kg, you add (225*2) and get a new total of 1350.


Total scores over 20 would then be:
21: 3200 (+950)
22: 4150 (+950)
23: 6050 (+1900)
24: 7950 (+1900)

and so forth.

Oh, ok, cool, yeah. But how do we know when to take that 'move up', that is, when the increase doubles?

Ahhhhhh my old nemesis....MATH!

Me brain hurt!

Mr Adventurer said:

Oh, ok, cool, yeah. But how do we know when to take that 'move up', that is, when the increase doubles?


21-22
23-25
26-27
28-30

and so forth.
For simplicity's sake I think multiplying the difference by 1.5 for every increase in total score of 2 is more elegant. And leads to roughly the same total increase (difference multiplied by 7.5 vs 8 over a total increase of 10).

Peacekeeper_b said:

Ahhhhhh my old nemesis....MATH!

Me brain hurt!


Nihilius said:

Peacekeeper_b said:

Ahhhhhh my old nemesis....MATH!

Me brain hurt!


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