Rank formula discovered - Guild Wars Guru archive powered by Guild Wars Legacy

Hephaistion

Ascalonian Squire

Join Date: May 2006

Forgot The Ghostlyyyyy [ftl]

Me/

12 Dec 2006 at 12:32 - 1

I have been able to deduce the formula for the Heroes Ascent rank system.

The formula is:

Code:

                 15 - n    n - 10
rank(n) = 32 * 3        * 5

For the first ranks 3 they needed to modify the values because the exponential function is not 0 for rank 0. From rank 3 to rank 10 we get non integral numbers. You can see how they rounded the values from the formula to give round numbers. From rank 11 to rank 15 we get exact results.

Code:

rank formula         fame
1    78.36416410         25
2    130.6069402         75
3    217.6782336        180
4    362.7970560        360
5    604.6617600        600
6    1007.769600       1000
7    1679.616000       1680
8    2799.360000       2800
9    4665.600000       4665
10   7776.000000       7750
11   12960.00000      12960
12   21600.00000      21600
13   36000.00000      36000
14   60000.00000      60000
15   100000.0000     100000
16   166666.6666     166660
17   277777.7777     277770
18   462962.9630     462960

With this formula i can confirm that rank 15 is exactly 100000.

Skuld

Furnace Stoker

Join Date: Sep 2005

Thousend Tigers Apund Ur Head [Ttgr]

A/

12 Dec 2006 at 13:01 - 2

Nice

ThunderStruck

Krytan Explorer

Join Date: Feb 2006

The Arctic Marauders [TAM]

12 Dec 2006 at 13:03 - 3

Nice job!

ayame ftw

Lion's Arch Merchant

Join Date: Nov 2006

Belgium

Forgot the Ghostlyyyyy

R/

12 Dec 2006 at 13:11 - 4

nice one, so u actualy did somthing usefull during work

Tetris L

Jungle Guide

Join Date: May 2005

Germany

Servants of Fortuna

12 Dec 2006 at 14:05 - 5

Nice work, but there's an easier way of putting it:

Fame = 60000 * (5/3)^(Rank-14)

Cyan The Archer

Jungle Guide

Join Date: Dec 2005

Denmark

R/

12 Dec 2006 at 14:12 - 6

So rank 16 is a devil emote and 25 is Jesus? =P

Tookis Elite

Banned

Join Date: Jan 2006

Chuck Norris Is The Only True [God]

W/

12 Dec 2006 at 20:09 - 7

Quote:

Originally Posted by Cyan The Archer

So rank 16 is a devil emote and 25 is Jesus? =P

well, i just recently got rank 15 and here is the emote...its cool to flash it when people come up n spam their bambi's on me....

i wish

Franco Power

Jungle Guide

Join Date: Dec 2006

UK

W/

12 Dec 2006 at 21:46 - 8

rofl, i wonder if that picture is going to be removed

amish lifeguard

Krytan Explorer

Join Date: Jul 2006

It's Not Pediofilia If The Kids [dead]

12 Dec 2006 at 21:50 - 9

Bwhahahahahahahha omg he made teh funneh!

Cool formula. Im surprised no one else thought of this.

tomcruisejr

Banned

Join Date: Apr 2005

12 Dec 2006 at 21:56 - 10

Quote:

Originally Posted by Hephaistion

I have been able to deduce the formula for the Heroes Ascent rank system.

The formula is:

Code:

                 15 - n    n - 10
rank(n) = 32 * 3        * 5

For the first ranks 3 they needed to modify the values because the exponential function is not 0 for rank 0. From rank 3 to rank 10 we get non integral numbers. You can see how they rounded the values from the formula to give round numbers. From rank 11 to rank 15 we get exact results.

Code:

rank formula         fame
1    78.36416410         25
2    130.6069402         75
3    217.6782336        180
4    362.7970560        360
5    604.6617600        600
6    1007.769600       1000
7    1679.616000       1680
8    2799.360000       2800
9    4665.600000       4665
10   7776.000000       7750
11   12960.00000      12960
12   21600.00000      21600
13   36000.00000      36000
14   60000.00000      60000
15   100000.0000     100000
16   166666.6666     166660
17   277777.7777     277770
18   462962.9630     462960

With this formula i can confirm that rank 15 is exactly 100000.

Show us how you did arrive to the final formula.

Regards,

Your Math Teacher

P.S.

GJ

Cyan The Archer

Jungle Guide

Join Date: Dec 2005

Denmark

R/

12 Dec 2006 at 22:48 - 11

Quote:

Originally Posted by Tookis Elite

well, i just recently got rank 15 and here is the emote...its cool to flash it when people come up n spam their bambi's on me....

http://i38.photobucket.com/albums/e1...-ur15emote.jpg

i wish

I like where the hands comes from

Btw, anyone got the Rank 25 Jesus emote? I want to see it again ^^

Vandal2k6

Lion's Arch Merchant

Join Date: Sep 2006

Manchester, UK

The Manchester Marauders

W/Rt

12 Dec 2006 at 22:56 - 12

Quote:

Originally Posted by Hephaistion

I have been able to deduce the formula for the Heroes Ascent rank system.

The formula is:

Code:

                 15 - n    n - 10
rank(n) = 32 * 3        * 5

For the first ranks 3 they needed to modify the values because the exponential function is not 0 for rank 0. From rank 3 to rank 10 we get non integral numbers. You can see how they rounded the values from the formula to give round numbers. From rank 11 to rank 15 we get exact results.

Code:

rank formula         fame
1    78.36416410         25
2    130.6069402         75
3    217.6782336        180
4    362.7970560        360
5    604.6617600        600
6    1007.769600       1000
7    1679.616000       1680
8    2799.360000       2800
9    4665.600000       4665
10   7776.000000       7750
11   12960.00000      12960
12   21600.00000      21600
13   36000.00000      36000
14   60000.00000      60000
15   100000.0000     100000
16   166666.6666     166660
17   277777.7777     277770
18   462962.9630     462960

With this formula i can confirm that rank 15 is exactly 100000.

HAY! You stole my work !!

Only kiddin' I don't even know what day it are.

Tookis Elite

Banned

Join Date: Jan 2006

Chuck Norris Is The Only True [God]

W/

12 Dec 2006 at 23:42 - 13

made a few changes to the pic - for those who already seen should go look again

and @ OP - how did u come about solving this.....that is insane

u r math ownage, wanna help me do some geometry HW

Franco Power

Jungle Guide

Join Date: Dec 2006

UK

W/

12 Dec 2006 at 23:51 - 14

lol i saved that picture just to show my friends when they ask what i think r15 emote is,

F U emote > chuck norris emote

Count to Potato

Jungle Guide

Join Date: Feb 2006

Imagination Land

I Swear She Was Eighteen [Gwen]

W/

12 Dec 2006 at 23:53 - 15

Quote:

Originally Posted by Legendary Ultimatum

lol i saved that picture just to show my friends when they ask what i think r15 emote is,

F U emote > chuck norris emote

There should be some emoter to remember IWAY, some like UBER warrior going round killing everyone

Hephaistion

Ascalonian Squire

Join Date: May 2006

Forgot The Ghostlyyyyy [ftl]

Me/

13 Dec 2006 at 00:05 - 16

MATH ALERT: Proceed at your own risk

I postulated the rank function is of the form:

Code:

rank(n) = a*b^n+c

I solved this using a math tool we use in college called maple:
with this three equations:

Code:

rank(13) = 36000
rank(12) = 21600
rank(11) = 12960

The tool gives:

Code:

a = 32 * 3^15 / 5^10
b = 5/3
c = 0

Filling this out the rank formula you get:

Code:

rank(n) = 32 * 3^15 / 5^10 * (5/3)^n

                 15 - n    n - 10
rank(n) = 32 * 3        * 5

Franco Power

Jungle Guide

Join Date: Dec 2006

UK

W/

13 Dec 2006 at 00:07 - 17

OP: you just gave me a head ache lol

Guardian of the Light

Forge Runner

Join Date: Sep 2005

Radicals Against Tyrants

W/

13 Dec 2006 at 00:48 - 18

nice job OP

tomcruisejr

Banned

Join Date: Apr 2005

13 Dec 2006 at 02:23 - 19

Quote:

Originally Posted by Hephaistion

...

I postulated the rank function is of the form:

Code:

rank(n) = a*b^n+c

...

you got a talent at postulating. keep it up.

brokenmonkey

Krytan Explorer

Join Date: Feb 2006

CA

[UC] Uber Crue

W/

13 Dec 2006 at 03:43 - 20

I would LMAO, to see Gaile Post and say "=O."

vaxmor

Krytan Explorer

Join Date: Dec 2005

Ascalon

R/

13 Dec 2006 at 04:38 - 21

maximum respect to the OP.

Novalon

Academy Page

Join Date: Aug 2005

W/

13 Dec 2006 at 08:12 - 22

Good ol' Maple. I've used it a few times to help with Numerical Methods, so it's nice to see that there are people out there who are willing to actually figure this stuff out.

I would, but I like writing programs more.

Nice job.

Yanman.be

Banned

Join Date: Dec 2005

Belgium

[ROSE]

A/

13 Dec 2006 at 09:17 - 23

Euler>Maple

Emik

Jungle Guide

Join Date: Nov 2005

Belgium

[FaRM] Farm For The Win

N/

13 Dec 2006 at 09:57 - 24

in the list where it says 10000...
What does the 10000 stand for?
Buttons, winebottles?

Sorry if this sounds stupid

Tetris L

Jungle Guide

Join Date: May 2005

Germany

Servants of Fortuna

13 Dec 2006 at 10:17 - 25

This isn't rocket science. Just look at the numbers and you'll see that (except for the lower ranks 1-4) the required fame is multiplied by 5/3 for every rank (rounded, more or less).

Fame{n} = Fame{n-1} * (5/3)

This means for rank n you have to multiply with (5/3)^n:

Fame{n} = Fame{0} * (5/3)^n

or, with an offset n0:

Fame{n} = Fame{n0} * (5/3)^(n-n0)

for example, with n0 = 14:

Fame{n} = Fame{14} * (5/3)^(n-14) = 60000 * (5/3)^(n-14)

foo

Wilds Pathfinder

Join Date: Feb 2006

Scars Meadows [SMS]

N/

13 Dec 2006 at 10:25 - 26

Quote:

Originally Posted by Yanman.be

Euler>Maple

Cantor >> Euler >> Maple

Makkert

Black Beast of Aarrrrgghh

Join Date: May 2005

The Netherlands

The Biggyverse [PLEB] // Servants of Fortuna [SoF]

13 Dec 2006 at 10:32 - 27

nice job on the numbercrunching.
thumbs up

Kay84

Krytan Explorer

Join Date: Dec 2005

Netherlands

[DVDF]

E/

13 Dec 2006 at 13:23 - 28

Wow, nice work

Deleet

Wilds Pathfinder

Join Date: Oct 2006

Denmark

Rule Thirty Four [prOn]

Mo/

13 Dec 2006 at 13:49 - 29

I wonder why they made such a weird formula for ranks...

XosirisX

Ascalonian Squire

Join Date: Mar 2006

Lions Arch Guard I

Mo/A

13 Dec 2006 at 13:59 - 30

they juz took a random set of number put in some other things and accidently u got 100000 fame for rank 15, i bet they are laughing their asses off seeing someone actually calculated wich formula they used.

for me this IS rocket science :P,
GJ

Fender

Krytan Explorer

Join Date: Aug 2005

Ohio

XoO

13 Dec 2006 at 14:19 - 31

Quote:

Originally Posted by Deleet

I wonder why they made such a weird formula for ranks...

It isn't that weird. For rank4 and up simply multiply the next lower rank by 5/3.

Quote:

Originally Posted by XosirisX

they juz took a random set of number put in some other things and accidently u got 100000 fame for rank 15

Highly doubtful, they most likely said rank 15 should be 100k, and worked backwards from there.

Soul Within

Frost Gate Guardian

Join Date: Aug 2006

South Park Served [You]

W/

22 Dec 2006 at 22:15 - 32

Just saw a rank 15, use their emote a few minutes ago, didn't get a picture but it was a turtle, I asked them to do it again and they refused =(

Reza

Frost Gate Guardian

Join Date: Apr 2006

The Fellowship Of The King [King]

22 Dec 2006 at 23:28 - 33

Quote:

Originally Posted by foo

Cantor >> Euler >> Maple

Windows Calculator > Cantor > Euler > Maple

Yichi

Furnace Stoker

Join Date: Sep 2005

Guild Hall, Vent, Guesting, PvE, or the occasional HA match...

Dark Alley [dR]

23 Dec 2006 at 00:40 - 34

im lost...

but nice work anyway

Shadow Kurd

Wilds Pathfinder

Join Date: May 2006

Netherlands

Scouts of Tyria

P/

23 Dec 2006 at 21:11 - 35

Added to wiki if you dont mind

http://gw.gamewikis.org/wiki/Rank#Formula

Armond

Frost Gate Guardian

Join Date: Jun 2006

California

W/E

07 May 2007 at 01:50 - 36

@Fender: Makes complete sense that they made the r15 value first and worked backwards to r0. That's what they seem to do with skills - a good number of skills have a value that's an even multiple of 5 for attribute level 15. Then there's the ones that are, say, 1..3..3, or Shadow Strike, which is some weird thing at r15. I have no idea how they got that. >.> How much rebalancing did Shadow Strike/Lifebane Strike get? Seems to me like they could only get whatever it was by trial and error.

fenix

Major-General Awesome

Join Date: Aug 2005

Aussie Trolling Crew HQ - Event Organiser and IRC Tiger

Ex Talionis [Law], Trinity of the Ascended [ToA] ????????????????&#

W/

07 May 2007 at 01:53 - 37

HOLY THREADCROMANCY BATMAN!

Why even bump this... did you read how old it is?

Zui

Desert Nomad

Join Date: Mar 2006

The Benecia Renovatio [RenO]

Mo/

07 May 2007 at 01:55 - 38

Quote:

Originally Posted by Armond

@Fender: Makes complete sense that they made the r15 value first and worked backwards to r0. That's what they seem to do with skills - a good number of skills have a value that's an even multiple of 5 for attribute level 15. Then there's the ones that are, say, 1..3..3, or Shadow Strike, which is some weird thing at r15. I have no idea how they got that. >.> How much rebalancing did Shadow Strike/Lifebane Strike get? Seems to me like they could only get whatever it was by trial and error.

Hi, before posting, try reading the date of the last post in the thread.

drago34

Krytan Explorer

Join Date: Feb 2005

California

Looking for good PvE guild ...

A/

07 May 2007 at 01:58 - 39

Another bumped thread...

Bryant Again

Hall Hero

Join Date: Feb 2006

07 May 2007 at 01:58 - 40

Oh noes another thread res.

I knew this thread was dead as soon as I saw Franco Power. I haven't seen him post in ages.