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Made in ca
Dakka Veteran





The first number is the result on 3D6", dropping the *highest* (fixed... I didn't even notice I said "lowest"). The percentage is the chance that you'll get that result (some rounding occurred.)

2: 7.4%
3: 12.5%
4: 15.3%
5: 16.7%
6: 15.3%
7: 12.5%
8: 8.3%
9: 5.6%
10: 3.2%
11: 1.4%
12: 0.5%

EDIT: New Chart ----

I haven't figured out how to calculate fleet through difficult terrain yet... as soon as I can figure that, I'll put a line for that on the chart as well)
Red represents charging through cover, blue is charging in the open, green is fleet re-rolling 1-3, purple is fleet re-rolling 1-4)

Edit: Another New Chart with fleet through difficult terrain.
[Thumb - 1000 charges-fleet.jpg]

[Thumb - 1000 difficult terrain fleet charges.jpg]

This message was edited 3 times. Last update was at 2012/08/02 18:09:39


 
   
Made in de
Ladies Love the Vibro-Cannon Operator






Hamburg

Thanks for the effort. It appears that the peak is around "5" with highest probability.

Compare this to ''7'' when charging through the open.

Former moderator 40kOnline

Lanchester's square law - please obey in list building!

Illumini: "And thank you for not finishing your post with a "" I'm sorry, but after 7200 's that has to be the most annoying sign-off ever."

Armies: Eldar, Necrons, Blood Angels, Grey Knights; World Eaters (30k); Bloodbound; Cryx, Circle, Cyriss 
   
Made in gb
Chalice-Wielding Sanguinary High Priest





Stevenage, UK

Thanks for this, it's handy to know. Though I take it you meant dropping the *highest*! The odds appear that way.

"Hard pressed on my right. My centre is yielding. Impossible to manoeuvre. Situation excellent. I am attacking." - General Ferdinand Foch  
   
Made in ca
Dakka Veteran





I had a small math error on three of the results.


2: 7.4%
3: 12.5%
4: 15.7% -- fixed
5: 16.7%
6: 15.7% -- fixed
7: 12.5%
8: 8.8% -- fixed
9: 5.6%
10: 3.2%
11: 1.4%
12: 0.5%

-----

2" or greater 100%
3" or greater 92.6%
4" or greater 80.1%
5" or greater 64.4%
6" or greater 47.7%
7" or greater 32%
8" or greater 19.5%
9" or greater 10.7%
10" or greater 5.1%
11" or greater 1.9%
12" 0.5%

This message was edited 1 time. Last update was at 2012/07/31 16:30:33


 
   
Made in us
The Conquerer






Waiting for my shill money from Spiral Arm Studios

Hmmm, so it appears that difficult terrain shaves 2" off your average charge roll. average of 5" vs 7" on open ground.

So it would seem that just standing in difficult terrain significantly reduces the chance of a successful charge being made against you.

Self-proclaimed evil Cat-person. Dues Ex Felines

Cato Sicarius, after force feeding Captain Ventris a copy of the Codex Astartes for having the audacity to play Deathwatch, chokes to death on his own D-baggery after finding Calgar assembling his new Eldar army.

MURICA!!! IN SPESS!!! 
   
Made in ca
Dakka Veteran





Compared to regular charge

2: 2.8%
3: 5.6%
4: 8.3%
5: 11.1%
6: 13.9%
7: 16.7%
8: 13.9%
9: 11.1%
10: 8.3%
11: 5.6%
12: 2.8%


Automatically Appended Next Post:
Grey Templar wrote:Hmmm, so it appears that difficult terrain shaves 2" off your average charge roll. average of 5" vs 7" on open ground.

So it would seem that just standing in difficult terrain significantly reduces the chance of a successful charge being made against you.


The deviation is much higher, and it peaks on the left, so you're very likely to get a result between 3 and 7 with 5 being the average.

Edit: Imagine if that squad had a cryptek with a crucible in it, dropping your charge by another D3". Ouchies.

This message was edited 2 times. Last update was at 2012/07/31 16:43:47


 
   
Made in us
The Conquerer






Waiting for my shill money from Spiral Arm Studios

Any way we could get this on a density curve? Maybe with normal charging, Fleet charging, and difficult terrain all overlayed with each other.

Self-proclaimed evil Cat-person. Dues Ex Felines

Cato Sicarius, after force feeding Captain Ventris a copy of the Codex Astartes for having the audacity to play Deathwatch, chokes to death on his own D-baggery after finding Calgar assembling his new Eldar army.

MURICA!!! IN SPESS!!! 
   
Made in ca
Dakka Veteran





Fleet Charging would be difficult to calculate as there would be different circumstances that would lead to the decision to re-roll some, or all, of the dice. If you made an assumption that you'd re-roll all 1-3's you'd have something, but I wouldn't want to do that math... it's too much for mah little brain.

It'd be close to +2" the other way though, for regular charges. Going through cover, it'd be close to +1" over regular charge if you re-rolled all 1-3 results.
   
Made in ca
Dakka Veteran





Distribution of 1000 charges. Red is through difficult terrain, blue is plain.
[Thumb - 1000 charges.jpg]
1000 charges

   
Made in de
Ladies Love the Vibro-Cannon Operator






Hamburg

Nice illustration. It shows that the range of 4'' to 6'' is dominating.

Former moderator 40kOnline

Lanchester's square law - please obey in list building!

Illumini: "And thank you for not finishing your post with a "" I'm sorry, but after 7200 's that has to be the most annoying sign-off ever."

Armies: Eldar, Necrons, Blood Angels, Grey Knights; World Eaters (30k); Bloodbound; Cryx, Circle, Cyriss 
   
Made in us
The Conquerer






Waiting for my shill money from Spiral Arm Studios

Yeah, so you want your enemy in that range to reliably get a charge if terrain is involved.

That makes multi-level ruins valuable defensive ground for assault wary armies.

Self-proclaimed evil Cat-person. Dues Ex Felines

Cato Sicarius, after force feeding Captain Ventris a copy of the Codex Astartes for having the audacity to play Deathwatch, chokes to death on his own D-baggery after finding Calgar assembling his new Eldar army.

MURICA!!! IN SPESS!!! 
   
Made in ca
Dakka Veteran





Is there anything I'm missing that I should add in (besides fleet through difficult terrain)?
   
Made in us
Awesome Autarch






Las Vegas, NV

Awesome, thanks for this!

   
Made in ca
Angered Reaver Arena Champion






I was making a graph like this too.... this is a must-have distribution for any savvy general.

Cheers!

Sangfroid Marines 5000 pts
Wych Cult 2000
Tau 2000 
   
Made in us
Devestating Grey Knight Dreadknight






Tokyo, Japan

Hope you don't mind but I'd like to add a link to here from a different thread

+ Thought of the day + Not even in death does duty end.


 
   
Made in ca
Dakka Veteran





If you like sudojoe, you can just totally ninja the graph. :-) Link away if you like, I don't mind either way.

I'm close to a solution on fleet through terrain.... my poor brain.
   
Made in us
Longtime Dakkanaut




Great job
   
Made in ca
Dakka Veteran





Added the much ballyhoo'd fleet through terrain table.
   
Made in ca
Dakka Veteran





Regular Charge and Charge through Difficult terrain against a Seismic Crucible. Shown as %age chance. Assuming that any result of -1, 0, and 1 = 1.

[Thumb - Percentage Chance of Charge Length vs Seismic Crucible.jpg]

   
Made in au
Regular Dakkanaut




Melbourne, Australia

Looks like my marines are trudging through mud even in open ground. I haven't rolled better than 5" so far. I hate dice.
   
Made in us
Stone Bonkers Fabricator General





Beijing, China

loreweaver wrote:
Edit: Another New Chart with fleet through difficult terrain.


Great, now how about Chance to get X" ?
2" 100%
3" ?
4" ?
5" ?

Dark Mechanicus and Renegade Iron Hand Dakka Blog
My Dark Mechanicus P&M Blog. Mostly Modeling as I paint very slowly. Lots of kitbashed conversions of marines and a few guard to make up a renegade Iron Hand chapter and Dark Mechanicus Allies. Bionics++  
   
Made in us
Dakka Veteran





United States

loreweaver wrote:
green is fleet re-rolling 1-3, purple is fleet re-rolling 1-4)


This is probably obvious but I can't figure out what you mean by 1-3 or 1-4?

Successful trades since 2011 with GREY88, Theophony, midget_overlord, Stricknasty, ratmkith, Swissgeese, djones520, ArcSoll, LValx, Joravi,... 
   
Made in au
Frenzied Berserker Terminator




In your squads, doing the chainsword tango

I think the implication is that no one would want to reroll a 5 or 6. only a 1/6 chance of improvement, and a 4/6 or 2/3 chance of getting less.

I am assuming as that's the only way it makes sense to me.

   
Made in us
Dakka Veteran





United States

That makes sense.

Looks like you wouldn't want to re-roll a 4.

Successful trades since 2011 with GREY88, Theophony, midget_overlord, Stricknasty, ratmkith, Swissgeese, djones520, ArcSoll, LValx, Joravi,... 
   
Made in gb
Longtime Dakkanaut





Cumilative is much more useful.

Unnessesarily extravegant word of the week award goes to jcress410 for this:

jcress wrote:Seem super off topic to complain about epistemology on a thread about tactics.
 
   
 
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