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Re: Points System

Posted by Stevo on Dec 22, 2013; 11:16am
URL: http://the-lost-and-the-damned.71.s1.nabble.com/My-Space-Crusade-Revamp-of-Sorts-tp6991079p7580539.html

POINTS VALUES FOR HEAVY WEAPONS (POINTS SYSTEM Part 2)

The following are my calculations on the point values of the heavy weapons in Space Crusade.
As mentioned in the previous post I’ve assigned a points value to the standard dice rolls;
2R = 2 exp hits = 3 pts
3R = 3 exp hits = 6 pts
6R = 6 exp hits = 21 pts.
This is the value for hitting a single target.  But all heavy and extra-heavy Weapons have an area of effect with the chance of hitting multiple targets.  This needs to be accounted for.

Firstly, the larger the area of effect, the more chance there is of hitting additional targets.  So, as a starting point I’ve used the 4th root (of the number of squares in the area of effect) to equal the total number of targets in the area.  So,
A 2x2 area of effect (Las-Cannon) is deemed to have 1.41 (4^0.25) targets.  
A 9x9 area of effect (Missile Launcher) is deemed to have 1.73 (9^0.25) targets.  
These might be too high, or too low, but it’s my starting point.  Even if they are incorrect, there is a far amount of error allowed here.  For a Marine w/Missile Launcher to increase its rCER from 6 to 7, the average number of targets has to increase from 1.73 to over 2, and from experience that number is way too high.  I know that the average number of targets for each weapon is subjective, but can be measured and tested in actual games over the next year.

HW ASSAULT CANNON:
2R hits can be split to kill multiple targets.  I’ve just assigned a value of 1pt for this special effect.
RFv = 2R + special value = 4 pts

HW PLASMA GUN:
All targets in LOF hit by 2R dice.  I’ve assumed that the LOF is 5 squares long.
RFv = (5^0.25) x 2R = 4.49 pts.

HW MISSILE LAUNCHER:
Target square will be hit by 2R dice and the remaining target area (3x3) is hit by the best die (best 1R die will be a 3 on 11 occurrences, a 2 on 9 occurrences and a 1 on 7 occurrences) so the expected hits = (3x11+2x9+1x7)/36 = 1.611.
RFv = [Target Square] 2R + [Area Effect] (9^0.25 -1) x 1.611 exp hits = 4.54 pts

EHW LAS-CANNON:
By combining its 3 shots, a target area (2x2) can be hit with 3R dice.
RFv = (4^0.25) x 3R = 8.48 pts

EHW FUSION GUN:
All targets in LOF hit by 3R dice and rolled separately.  I’ve assumed that the LOF is 5 squares long.
RFv = (5^0.25) x 3R = 8.97 pts.

EHW CONVERSION BEAM:
The Target square will be hit by 3R dice.  The area of effect is generally a (3x2) grid as the weapon has to explode against a wall or closed door.  Also any targets in the Line of Fire could also be hit. I’m also assuming that the firer never suffers any damage and the LOF is 5 squares long.

                                                    Roll       Exp Hits    # of targets               Points
Target Square                             3R           3              1                                 6 pts
Area Effect                                 3R-1        2.125        (6^0.25)-1                   1.88 pts
Line of Fire 2 sq from target      3R-2        1.375        (7^0.25)-(6^0.25)        0.1 pt      
Line of Fire 3 sq from target      3R-3        0.792        (8^0.25)-(7^0.25)        0.04 pt
Line of Fire 4 sq from target      3R-4        0.421        (9^0.25)-(8^0.25)        0.02 pt        
Line of Fire 5 sq from target      3R-5        0.19          (10^0.25)-(9^0.25)      0.01 pt        
RFv = 6 + 1.88 + 0.1 + 0.04 + 0.02 + 0.01 = 8.05 pts

MSW TARANTULA:
By combining its 3 shots, a target area (2x2) can be hit with 6R dice.
RFv = (4^0.25) x 6R = 29.7 pts

ELDAR LAS-CANNON:
By combining its 2 shots, a target area (2x2) can be hit with 2R dice.
RFv = (4^0.25) x 2R = 4.24 pts

DREADNOUGHTS:
A Dreadnought is unique in that they are the only miniature that are armed with multiple weapons.  They start each mission with awesome firepower but as a Dreadnought takes hits, it also loses its weapons.  So a Dreadnought’s RFv has to be the average of its fire power at each of its life point levels.  

For the calculations I’ve given the smaller Dreadnoughts 2 Heavy Weapons and the larger Dreadnoughts 2 Heavy and 2 Extra Heavy Weapons
ie. The Mk VII and MK VIII are armed with Plasma Gun (2R) and Missile Launcher (2R).
ie. The Mk IX and Mk X are armed with Plasma Gun (2R), Missile Launcher (2R), Las-cannon (3R) and Fusion Gun (3R).
All Dreadnoughts also have integral Bolters (2w).  Each time a LP is lost, the lowest value weapon is removed.  

DREADNOUGHT Mk VII & VIII:
[LP3] 1+4.54+4.49 = 10.03 pts
[LP2] 1+4.54 = 5.54 pts
[LP1] 1 pt
RFv = (10.03+5.54+1)/3 = 5.52 pts

DREADNOUGHT Mk IX & X:
[LP5] 1+8.97+8.48+4.54+4.49 = 27.48 pts
[LP4] 1+8.97+8.48+4.54 = 22.99 pts
[LP3] 1+8.97+8.48 = 18.45 pts
[LP2] 1+8.97 = 9.97 pts
[LP1] 1 pt
RFv = (27.48+22.99+18.45+9.97+1)/5 = 15.98 pts

SUMMARY OF HW RANGED FIRE VALUES (RFv)
HW Assault Cannon = 4 pts
HW Plasma Gun = 4.49 pts
HW Missile Launcher = 4.54 pts
HW Average = 4.34 pts
EHW Las-cannon = 8.48 pts
EHW Fusion Gun = 8.97 pts
EHW Conversion Beam = 8.05 pts
EHW Average = 8.5pts
MSW Tarantula = 29.7 pts
Eldar Las-cannon = 4.24 pts
Dreadnought Mk VII & VIII = 5.52 pts
Dreadnought Mk IX & X = 15.98 pts

Cheers