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[scourge728]

I mean, you could have just put a cap on the number of dice rolls that you could get with 6 chaining

[WealthyRadish]

If you want the general formula, there's another sum to know, which is that (1 + 2 + 3 + .... + n) = n(n+1)/2.

Denoting n(n+1)/2 as "T", you get the series T * (1/n + (1/n)^2 + (1/n)^3 + ...), which isn't quite the geometric series since it's lacking a leading zero power term.

Your real answer will be the full series minus that leading term that isn't there, which is  T/(1-1/n) - T, which can be simplified to n(n+1)/[2(n-1)] for any n-sided die.

[Yoink]

I done went and slept in again. I feel like boiled garbage.

[Cathar]

If you want the general formula, there's another sum to know, which is that (1 + 2 + 3 + .... + n) = n(n+1)/2.

Denoting n(n+1)/2 as "T", you get the series T * (1/n + (1/n)^2 + (1/n)^3 + ...), which isn't quite the geometric series since it's lacking a leading zero power term.

Your real answer will be the full series minus that leading term that isn't there, which is  T/(1-1/n) - T, which can be simplified to n(n+1)/[2(n-1)] for any n-sided die.

Im so amazed by people who understand that stuff on a theoretical level. I'm just thinkering, like bashing numbers like a brain damaged toddler until they have an ok shape. I'm totally incapable of demonstrating the accuracy of what I do, but it...seems to work

Spoiler (click to show/hide)

The formula I came up with was :

(x+1)/2+y((x+1)/2)

x being the number of sides
y being the suite 1/x+1/x^2+1/x^3+[...] going on to infinity

y has a finite value (0.2) since it's a convergeant suite. I'm incapable of demonstrating why this is, but it seems to converge to 0.2, and I learnt that infinite suites that are convergeant = the value they converge to

So that gave me 3.5+3.5*0.2=4.2

But then again I have no idea how to prove that, but it works. It's very valuable information for me

[Reelya]

"Roll a dice, if it's 6, take 6 + another dice" would be flawed, since you can't roll a final result of 6, 12, 18 ... etc ... with that system, so there would be gaps in the distribution. Which wouldn't matter much for some things, but in other cases would lead to weird omissions, such as if you used that system to roll how many planets are in a solar system, no solar system could ever have an exact multiple of 6 planets.

So, do you take 5+NewDice when you roll a 6 or what? I'm guessing you take 6+NewDice, since 3.5 is the average roll on a d6. But, you really should count the 6 as a 5 (the highest non-roll-again value) before adding another dice.

[George_Chickens]

Reelya? MORE LIKE Reely likes editing his posts a

[Reelya]

It's not very nice to ad hominem and try and start fights out of nowhere.

EDIT: pretty sure that sort of thing is against some forum guidelines:

http://www.bay12forums.com/smf/index.php?topic=38442.0

[George_Chickens]

It's a pretty friendly, inoffensive joke. I don't get how it could be perceived as an ad hominem, especially when there is no real argument or debate going on in the first place.

[Reelya]

It's a pretty friendly, inoffensive joke. I don't get how it could be perceived as an ad hominem, especially when there is no real argument or debate going on in the first place.

It can be easily taken as an attempt to ice someone out of the forums. Consider sarcasm tags.

[JoshuaFH]

And he edited his post! Talk about very justified friendly ribbing.

I've never even heard the phrase 'ice someone' before in a non-gangster context.

[scriver]

It's a pretty friendly, inoffensive joke. I don't get how it could be perceived as an ad hominem, especially when there is no real argument or debate going on in the first place.

It can be easily taken as an attempt to ice someone out of the forums. Consider sarcasm tags.

But sarcasm tags are oxymoronic

And he edited his post! Talk about very justified friendly ribbing.

I've never even heard the phrase 'ice someone' before in a non-gangster context.

I don't know if it's a thing in American English, but 'freeze out" (because it is "ice out", not just "ice") is a phrase here in Sweden

[George_Chickens]

It's a pretty friendly, inoffensive joke. I don't get how it could be perceived as an ad hominem, especially when there is no real argument or debate going on in the first place.

It can be easily taken as an attempt to ice someone out of the forums.

But... how? It's just mentioning that you edit your posts a lot. It's so innocent I can't even conceive how it could possibly be an attempt to harass someone or make them feel uncomfortable.

And I don't think sarcasm tags are really appropriate for a factual statement 

[Reelya]

I've had people hassle me about it before, as a response in a discussion we were having, in place of having an actual point rebutting what I was saying. It isn't a nice feeling, and it's the kind of thing that makes people want to stop posting.

[Hanslanda]

I for one like you and your editing posts as necessary just the way you are, Reelya. Never change~

[Rolan7]

I honestly have to say the post-editing can cause confusion, even though I've been impressed by several of your posts (particularly last month, for whatever reason).  Whatever helps you build such nuanced arguments.

I'm pretty guilty of post-editing myself, though I *usually* manage to limit it to the brief timer wherein it doesn't mark the post as edited.
It's not that unusual for me to make 2 or even 3 edits within that timer, though.  It's a bad habit, I should preview more carefully.