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Re: (My) Space Crusade Revamp (of Sorts) - Points System

Posted by Stevo on Dec 21, 2013; 5:09am
URL: http://the-lost-and-the-damned.71.s1.nabble.com/My-Space-Crusade-Revamp-of-Sorts-tp6991079p7580532.html

Hi Guys, I know that this is an old post but I’m new to the forum.  
I liked the work that Kalrath did on his points system and have used the triangular series as the basis of a points system that I’ve developed.  Kalrath identified a problem in that his point system broke down when adding the calculated movement value to the larger multi-weapon miniatures.  I think that I have a solution and would like to share it.

In Mission Dreadnought, the cost of both slower dreadnoughts is approx 80% of the CER cost of both faster ones. I used this as the basis of my movement value; any miniature that moves 4 squares will cost 80% of the same miniature moving 6 squares.  That is, the movement value is not added to the overall points but is used as a multiplier.  The same goes for the Life Point value.

CALCULATING THE AV, RF, CC, MV & LP POINT VALUES FOR EACH MINIATURE

Armour (AV), Ranged Fire (RF) and Close Comber (CC) point values are all calculated using the triangular series of numbers starting at 0.  The beauty of using the triangular series is that any point value can be created for any value of ‘n’ using the formula;  Points = n(n+1)/2.  
Eg.  A Dreadnought's armour rating is AV 4.  This is worth 4*(4+1)/2 =10 pts

ARMOUR VALUE points (AVv) are based on the amount of armour that a miniature has:-
AV 0 =     0
AV 1 =     1 pt          (Carapace Armor)
AV 2 =     3 pts        (Power Armor)
AV 3 =     6 pts        (Terminator Armor)
AV 4 =     10 pts      (Dreadnought Armor)
AV 6 =     21 pts      (Tarantula Shield)

RANGED FIRE VALUE points (RFv) are calculated on the expected outcome of a dice roll:-
Bolter/Light Weapon (2w) =          1 exp hit =      1 pt
Guass Rifle (3w) =                          1.5 exp hits =  1.875 pts         (ie. 1.5*(1.5+1)/2=1.875)
Heavy Bolter (2R) =                        2 exp hits =     3 pts
Heavy Weapon (2R + Area) =        2+ exp hits =   4.34 pts
Extra Hvy Weapon (3R + Area) =  3+ exp hits =   8.51 pts
Dreadnought Mk VII/VIII =           5+ exp hits =   5.52 pts
Dreadnought Mk IX/X =                9+ exp hits =   15.98 pts
Tarantula (6R + Area) =                  6+ exp hits =   29.7 pts

CLOSE COMBAT ATTACK/DEFENCE VALUE points (CCAv/CCDv) are calculated in the same way as Ranged Fire.
CC (1w) =                       0.5 exp hit =     0.375 pts                 (ie. 0.5*(0.5+1)/2=0.375)
CC (2w or 1R) =              1 exp hit =       1 pt
CC (3w or 1R+1w) =       1.5 exp hits =   1.875 pts
CC (2R) =                        2 exp hits =      3 pts
CC (2R+2w) =                 3 exp hits =      6 pts

The MOVEMENT VALUE (MVv) multiplier  = the Square Root(Movement Rate[in squares]/6) where :-
• A miniature that cannot move diagonally subtracts 1 from its movement rate.   eg. Dreadnoughts & Tarantula.
• A miniature that cannot move and fire in a single turn, halves its movement rate.  eg. Tarantula.
• All other miniatures use their basic movement rate.
                                                                       MR MVv
Gretchin, Genestealer                                      8       x 1.15
Exarch, Warrior                                               7       x 1.08
Ork, Commander, Marine w/Bolter               6       x 1
Dreadnought Mk VIII & X                              5       x 0.91
Marine w/HW, Marine w/EHW, Android    4       x 0.82
Warrior w/HW,  Dreadnought Mk VII & IX  3       x 0.71
Tarantula                                                         2.5    x 0.65
 
The LIFE POINT VALUE (LPv) multiplier = the Square Root(# Life Points).
                                                                         # LP        LPv
Commander & Eldar Exarch                            6 LP        x 2.45
Dreadnought Mk IX & X                                  5 LP       x 2.24
Dreadnought Mk VII & VIII                            3 LP        x 1.73
All other miniature                                          1 LP        x 1

To avoid making this post longer than it already is, I have not included the logic on how the values for movement, life points and/or heavy weapons and multiple weapon miniatures were reached, but I’m happy to provide additional posts if people are interested.

THE FORMULA.  

A Miniature’s Points Value = ((1+ (RFv + AVv + CCAv + CCDv) x MVv x LPv)^n)  -1  where

RFv = Ranged Fire value
AVv = Armour value
CCAv= Close Combat value when Attacking
CCDv = Close Combat value when Defending
MVv = Movement value
LPv = Life Points value
n=0.9

RFv, AVv, CCAv, & CCDv are added together and the result is then multiplied by the [Movement Value] and the [Life Point Value].  This formula produces a result that is close but generally higher than the CER values in Space Crusade, so the points need to be compressed in get back into the range of Gretchin = 2 (lowest) to Dreadnought Mk X = 50 (highest).  Compressing by a factor of 0.9 produces the correct range.

EXAMPLES OF THE FORMULA IN USE

Gretchin
RF 2w; AV 0; CC 1w; MV 8; LP 1
= ((1+ (RFv + AVv + CCAv + CCDv) x MVv x LPv) ^n) -1
= ((1+ (1 + 0 + 0.375 + 0.375) x 1.15 x 1) ^0.9) -1
= (3.0 ^0.9) -1
= 1.7  (2 pts CER)     Same as SC

Space or Chaos Marine w/Bolter
RF 2w; AV 2; CC 2w; MV 6; LP 1
  = ((1+ (RFv + AVv + CCAv + CCDv) x MVv x LPv) ^n) -1
  = ((1+(1+ 3 + 1 + 1) x 1 x 1) ^0.9) -1
  = (7.0 ^0.9) -1
  = 4.8  (5 pts CER)    Same as SC

Marine Commander w/Power Fist and Power Sword
RF 0; AV 2; CC 2R+2w; MV 6; LP 6
  = ((1+ (RFv + AVv + CCAv + CCDv) x MVv x LPv) ^n) -1
  = ((1+ (0 + 3 + 6 + 6) x 1 x 2.45) ^0.9) -1
  = (37.75 ^0.9) -1
  = 25.3  (25 pts CER)  More than double its SC value and about par with a Dreadnought Mk VII

Dreadnought Mk IX
RFv 15.98; AV 4; CC 2R+2w; MV (4-1)=3; LP 5
  = ((1+ (RFv + AVv + CCAv + CCDv) x MVv x LPv) ^n) -1
  = ((1+ (15.98 + 10 + 6 + 6) x 0.71 x 2.24) ^0.9) -1
  = (61.4 ^0.9) -1
  = 39.5  (40 pts CER)   Same as MD


SUMMARY TABLE OF THE REVISED POINTS VALUES
In the original game there were only five unique CER values that covered all miniatures.  These were 2, 3, 5, 10 & 25.  As the new formula will create a unique point value for each miniature, a new CER range should also be created.  As a suggestion maybe all point values should be rounded to the nearest 5 points except when less than 20.  Therefore the rCERs would be 1-20 then 25, 30, 35, etc.  This allows all low and mid strength miniatures to keep their uniqueness but rounds off the values of the larger monsters, to make the maths easier.   The values produced are :-

Space Crusade Miniatures                      Pts   rCER
Gretchin                                                  1.7    2
Ork                                                          3.3    3
Chaos Marine                                         4.8    5
Chaos Marine w/HW                            6.1    6
Chaos Marine Commander                    6.2    6
Android                                                  6.9    7
Genestealer                                           10.3    10
Dreadnought Mk VII                             23.3   25
Marine                                                     4.8   5
Marine w/HW                                        6.0   6
Marine Commander w/Heavy Bolter   14.2   14
Marine Commander w/BP & PA          17.4   17
Marine Commander w/PF & PS           25.3   25
               
Mission Dreadnought Miniatures           Pts   rCER
Dreadnought Mk VIII                             29.5  30
Dreadnought Mk IX                               39.5   40
Dreadnought Mk X                                 49.8  50
Marine w/E-HW                                      8.4  9*
Tarantula      (Gunner costs 5pts extra)  17.9  18
               
Eldar Attack Miniatures                         Pts   rCER
Eldar Warrior                                          5.1   5
Eldar Warrior w/HW                             5.4   6*
Eldar Exarch              (cards cost extra) 16.6  17

I’ve also used the formula to create point values for the Marine Equipment Cards and all the extra creatures that Mortis, Mellizious, and other forum users have wonderfully created.  If you would like them posted them just ask.

Example.  SUSPENSORS EQUIPMENT CARD (4pts).  Suspensors increases a HW Marine’s movement rate from 4 squares to 6, thereby changing the marines value from 6.0 to 7.2.  As the Suspensors Equipment Card can be used by a max of 3 marines it costs 3 x 1.2 = 3.6 (4pts).

Cheers