Wednesday, December 4, 2024

Upscaling d20 bullet damage

In a previous post tied bullet damage to the diameter of a round multiplied by the ratio of length to caliber in millimeters. This works fine for bullets which rarely go over 1 inch in diameter, and rarely have a ratio greater than 10:1 (which would max out at 10d12). I randomly mentioned this blog, and that got me pondering how the math would work out. Having looked into NATO Fox Calls for fighter planes, I came to realize that a large amount of weapon specs are available for US Munitions on wikipedia. I'm sure missiles are a bit more complicated than what is presented here, but I thought it would be worth the thought exercise. That being said, one note to mention is that in the previous post, the maximum size was d12 for 1". Most missiles are going to be more than one inch, and the inches should probably be multiplied separately from the ratio, but it seems easier to add the inches to the length ratio and multiply by that number. Both methods are shown here so anyone who wants to use them can use either method

Missile                     Dimensions (ratio) Damage
AIM-7 Sparrow (Fox-1)       ~8x144" (~x18)     d12x26 or d12x144
AIM-9 Sidewinder (Fox-2)    ~5x119" (~x24)     d12x29 or d12x120
AIM-120 AMRAAM (Fox-3)      ~7x144" (~x21)     d12x27 or d12x147
AIM-54 Phoenix (Fox-3)      ~15x154" (~x10)    d12x25 or d12x150
AGM-114 Hellfire (Fox-2)    ~7x64" (~x9)       d12x16 or d12x63
RPG-7 Round (~75x950mm*)    ~3x37" (~x13)      d12x16 or d12x39
AT-4 Round (~84x245mm*)     ~3x9" (~x3)        d12x6  or d12x9
Minuteman ICBM (~5.5x60 ft) ~5x60' (x11)       d12x785 or d12x46,800

Percentile Damage
You may have noticed that multiplying caliber and length separately produces damage in excess of 100 in all cases. It may be helpful to roll fewer dice and get bigger damage values. In that case, round the maximum damage to 100 points in whichever direction makes the most sense, and use that number of d100s. The following is the result of that.

Missile                     Damage Maximums    Percentile Roll
AIM-7 Sparrow (Fox-1)       1728               18d%
AIM-9 Sidewinder (Fox-2)    1440               14d% 
AIM-120 AMRAAM (Fox-3)      1764               18d%
AIM-54 Phoenix (Fox-3)      1800               18d%
AGM-114 Hellfire (Fox-2)    756                8d%
RPG-7 Round (~75x950mm*)    468                4d%
AT-4 Round (~84x245mm*)     108                1d%
Minuteman ICBM (~5.5x60 ft) 561,600            d%x5616**

Wednesday, July 10, 2024

I'M BACK! (with) Pathfinder Remaster Musings on Vehicles

 So according to the Pathfinder Remaster, 

Vehicles have size traits, but they don’t occupy the same spaces that most creatures use. Instead, each vehicle has specific dimensions provided in its stat block.

Most vehicles are Large or larger, and many vehicles are made for the purpose of carrying cargo. Unless stated otherwise, the amount of cargo a vehicle can carry depends on its size, terrain, and propulsion. A draft horse or similar creature can usually pull around 100 Bulk of goods consistently throughout the day, so pulled vehicles can typically hold 100 Bulk per Large creature pulling. Water vehicles, such as ships, have limits that are more based on volume than weight; a ship can hold upwards of 1,000 Bulk. Flying vehicles can typically hold only 1/10 the Bulk of a water vehicle and still remain airborne. The GM might rule that unique or unusual vehicles can hold different amounts of Bulk.

This presents a problem in that vehicles don't usually have large creatures pulling, pushing, rowing or otherwise moving them. This can still be used as a guideline. So for example, a Carriage is 10x10x7 and a Cart is 5x10x4, one is pulled by 1 Large creature the other by 2, so 100 and 200 bulk. These numbers are applied to either (2x2x1.5)=6 five foot cubes or (1x2x.8)=1.6 five foot cubes, though you can also just take the dimensions and divide by 125. Given that, values of 30 to 50 Bulk per 5 foot cube.

What actually is Bulk?

The book says 10 lbs but it also says a medium creature is 6 bulk, which suggests more like 20 to 30 lbs (20 would make medium creatures 120 lbs, and 30 would make them 180). It also says a large creature is 12 Bulk. (which is anywhere from the canon 120 to my recalulated 360). To be clear, bulk should be a range based on a nebulous combination of length and weight, not just one particular weight or one particular length.

My initial "gut reaction" of 25 bulk per 5 foot square is reasonable when taken in consideration for the fact that vehicles' own Bulk isn't considered for its weight limit, but I'm inclined to consider the following

  1. (50xCubes)-(Bulk of Creature listed in Player Core p. 269) Bulk for the same size creature (500 to 1500 lbs per cube)
  2. 25 to 30 bulk per cube ignoring the "Bulk of a Creature" appropriate to a vehicle of the creature size (250-900 lbs per cube)
  3. Water vehicles basing their cargo on volume rather than weight still hold 10x the volume of land vehicles calculated this way (e.g. one of the above calculations).
By the rule quoted above Flying vehicles at 1/10th the capacity of a ship (or equal in capacity to a Land Vehicle) can remain airborne. I don't have a particularly strong opinion on the validity of that assessment.