A brief problem I've been working on.

You do the math...
Staff Sergeant

Staff Sergeant

Kaos
Posts: 194
Joined: Fri Jul 02, 2010 3:08 pm
Gender: None specified
Status: Offline

A brief problem I've been working on.

Unread post #1 by Kaos » Mon Oct 25, 2010 8:48 pm

So yes, I am a nerd. I am working on a role playing engine, where some of the key structure of my system is to work with the hardness of known elements.
Unfortunately, the only system I know to be widely accepted by this practice is Moh's hardness scale.
The problem with Moh's scale is that it isn't linear. 10 is four times as hard as 9, where 2 isn't even close to twice as hard as 1.
I found some hinting at an absolute formula for mineral hardness, and found values for moh's scale. The problem I have, is that there is no conversion formula listed.
Could anyone help me with this?

Conversion theorum = A(M)
where M = the Moh's hardness and A(M) is the absolute hardness value.
A(1) = 1
A(2) = 3
A(3) = 9
A(4) = 21
A(5) = 48
A(6) = 72
A(7) = 100
A(8) = 200
A(9) = 400
A(10) = 1600

I thought that I might end up having to use a nonic or decic equation to solve this, but if other people have simpler ways I am more than open to hearing them.



The GateKeeper

The GateKeeper

MinionJoe
User avatar
Posts: 116
Joined: Wed Jul 14, 2010 2:34 pm
Gender: None specified
Status: Offline

Re: A brief problem I've been working on.

Unread post #2 by MinionJoe » Tue Oct 26, 2010 7:35 am

I dropped the data into Excel and did a quick and dirty exponential trendline and here's what it came up with:

Image

An equation of y=0.767e^(0.7348*x) where x is Moh's hardness factor is pretty close.

For something a little more accurate, you'll probably have to buy some curve fitting software.

http://www.uniphiz.com/best-fit.htm
Image

Staff Sergeant

Staff Sergeant

Kaos
Posts: 194
Joined: Fri Jul 02, 2010 3:08 pm
Gender: None specified
Status: Offline

Re: A brief problem I've been working on.

Unread post #3 by Kaos » Tue Oct 26, 2010 6:06 pm

I was wondering about that. I ran it through my graphing calculator several times and wound up with something much closer, but still not perfect.
Ah well, I guess I just keep plugging away until I find something that works.

Guru

Guru

ThrowSomething
User avatar
Posts: 224
Joined: Sun Dec 27, 2009 12:31 pm
Location: In Your Machine
Gender: None specified
Contact:
Status: Offline

Re: A brief problem I've been working on.

Unread post #4 by ThrowSomething » Wed Oct 27, 2010 5:17 pm

I doubt polynomials have "formulas" above the fourth degree. Although, you could probably run linearly with a known ratio. Perhaps A(m+m/1-F) where F is say maybe Fibonacci or some other Golden rule to brute force linearity by parallel means. I'm guessing your scale is 2d? If not, looks like you left out some values in your post citing a need to work at such levels to achieve linearity. Getting linear can include exponential rates...by I've seen most scales top out as a constant,(or bottom out if negative) like apparent flat lining, unless there's that missing data to jump to the 3rd degree. You mentioned the ninth and tenth like 'holy-sh*t!... is this dude constructing the most diabolical algorythm in role playing or what! lol...

What language is this 'engine' written in...? If your heart is set at using the moh scale, perhaps have the script sort with regex, noticing the values of every set of 3 numbers' first and second digits blah blah....

Need more info....

Sounds interesting...



Staff Sergeant

Staff Sergeant

Kaos
Posts: 194
Joined: Fri Jul 02, 2010 3:08 pm
Gender: None specified
Status: Offline

Re: A brief problem I've been working on.

Unread post #5 by Kaos » Wed Oct 27, 2010 7:21 pm

Actually, it's simply a pen and paper game. I was developing it so that, essentially, anything from real life could be seamlessly integrated into the game. Using formulas for acceleration, gravitational velocity, hardness, malleability and others, my ultimate goal is to create a game which could be modified by almost anyone, and easily.
If I have a formula for hardness that can transfer any element measured in Moh's hardness (say about a few thousand - I've seen some of the data tables), I can, essentially, make it so that it never gets outdated. Until Moh's hardness is antiquated, the game can continue to evolve.

I'm not expecting to finish this overnight, but I want to work on it for years and see what I come up with. I've made role playing games in the past, and I want to seriously test my mettle.

As far as the ninth and tenth degree, well I was thinking to start from the top and work my way down. If there is absolutely no way to make a perfectly linear graph (that I can see), by putting in changes at 9 or 10 vertexes, I can essentially mimic the graph perfectly (Because for every quadratic formula, you have changes at two points, nonic formulas would be at 9.)

Also, a quick note.
Apparently there are conflicting views on what is truly the absolute value of these. Some scales use what I listed above, but others use this scale.

Conversion theorum = A(M)
where M = the Moh's hardness and A(M) is the absolute hardness value.
A(1) = 1
A(2) = 2
A(3) = 9
A(4) = 21
A(5) = 48
A(6) = 72
A(7) = 100
A(8) = 200
A(9) = 400
A(10) = 1500

Because of this, I'm simply looking for a scale that works somewhere between these two ranges :)

Sergeant

Sergeant

arnie532
User avatar
Posts: 103
Joined: Fri Oct 08, 2010 9:23 pm
Gender: None specified
Status: Offline

Re: A brief problem I've been working on.

Unread post #6 by arnie532 » Wed Nov 03, 2010 8:43 pm

Although this does not neccisarily relate to your problem although I can try and do what I can I just wanted to know you said you made RPGs before is there any way we could see some or even try some
Image

The Boss
Location: NOLA
Gender: Male
Zodiac: Cancer
Age: 33
Contact:
Status: Offline

Re: A brief problem I've been working on.

Unread post #7 by Davo » Wed Nov 03, 2010 10:29 pm

I'd like to try them too, no matter how bad you thought they were.
Support my Site via Adf.ly : View the Ad or Skip the Ad


Staff Sergeant

Staff Sergeant

Kaos
Posts: 194
Joined: Fri Jul 02, 2010 3:08 pm
Gender: None specified
Status: Offline

Re: A brief problem I've been working on.

Unread post #8 by Kaos » Thu Nov 04, 2010 7:15 pm

Okay, well as I said they are, in fact, pen and paper games. If you want to start messing around in some of them, I could start up a topic here and begin a casual game :)

The Boss
Location: NOLA
Gender: Male
Zodiac: Cancer
Age: 33
Contact:
Status: Offline

Re: A brief problem I've been working on.

Unread post #9 by Davo » Thu Nov 04, 2010 9:59 pm

i say give it a shot. thats what this forum is for.
Support my Site via Adf.ly : View the Ad or Skip the Ad








Staff Sergeant

Staff Sergeant

Kaos
Posts: 194
Joined: Fri Jul 02, 2010 3:08 pm
Gender: None specified
Status: Offline

Re: A brief problem I've been working on.

Unread post #10 by Kaos » Fri Nov 05, 2010 8:31 pm

All right, I'll try to get a topic up over the weekend.

Guru

Guru

ThrowSomething
User avatar
Posts: 224
Joined: Sun Dec 27, 2009 12:31 pm
Location: In Your Machine
Gender: None specified
Contact:
Status: Offline

Davo Says...

Unread post #11 by ThrowSomething » Sat Nov 13, 2010 10:13 am

""Don't overlook the obvious!""


dammit...





Staff Sergeant

Staff Sergeant

Kaos
Posts: 194
Joined: Fri Jul 02, 2010 3:08 pm
Gender: None specified
Status: Offline

Re: A brief problem I've been working on.

Unread post #12 by Kaos » Sat Nov 13, 2010 4:16 pm

Life has been busy. I'll set up a topic for the game tonight or tomorrow.


Return to “Math”

Who is online

Users browsing this forum: No registered users and 1 guest

cron