Rank formula discovered - Guild Wars Guru Archive

H

Hephaistion

Ascalonian Squire

Forgot The Ghostlyyyyy [ftl]

Me/

Joined May 2006

Dec 12, 2006 at 12:32 PM • #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

Thousend Tigers Apund Ur Head [Ttgr]

A/

Joined Sep 2005

Dec 12, 2006 at 1:01 PM • #2

Nice

T

ThunderStruck

Krytan Explorer

The Arctic Marauders [TAM]

Joined Feb 2006

Dec 12, 2006 at 1:03 PM • #3

Nice job!

a

ayame ftw

Lion's Arch Merchant

Forgot the Ghostlyyyyy

R/

Joined Nov 2006

Dec 12, 2006 at 1:11 PM • #4

nice one, so u actualy did somthing usefull during work

Tetris L

Jungle Guide

Servants of Fortuna

Joined May 2005

Dec 12, 2006 at 2:05 PM • #5

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

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

Cyan The Archer

Jungle Guide

R/

Joined Dec 2005

Dec 12, 2006 at 2:12 PM • #6

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

Tookis Elite

Banned

Chuck Norris Is The Only True [God]

W/

Joined Jan 2006

Dec 12, 2006 at 8:09 PM • #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

W/

Joined Dec 2006

Dec 12, 2006 at 9:46 PM • #8

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

amish lifeguard

Krytan Explorer

It's Not Pediofilia If The Kids [dead]

Joined Jul 2006

Dec 12, 2006 at 9:50 PM • #9

Bwhahahahahahahha omg he made teh funneh!

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

tomcruisejr

Banned

Joined Apr 2005

Dec 12, 2006 at 9:56 PM • #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

R/

Joined Dec 2005

Dec 12, 2006 at 10:48 PM • #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

The Manchester Marauders

W/Rt

Joined Sep 2006

Dec 12, 2006 at 10:56 PM • #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

Chuck Norris Is The Only True [God]

W/

Joined Jan 2006

Dec 12, 2006 at 11:42 PM • #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

W/

Joined Dec 2006

Dec 12, 2006 at 11:51 PM • #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

I Swear She Was Eighteen [Gwen]

W/

Joined Feb 2006

Dec 12, 2006 at 11:53 PM • #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

H

Hephaistion

Ascalonian Squire

Forgot The Ghostlyyyyy [ftl]

Me/

Joined May 2006

Dec 13, 2006 at 12:05 AM • #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

W/

Joined Dec 2006

Dec 13, 2006 at 12:07 AM • #17

OP: you just gave me a head ache lol

Guardian of the Light

Forge Runner

Radicals Against Tyrants

W/

Joined Sep 2005

Dec 13, 2006 at 12:48 AM • #18

nice job OP

tomcruisejr

Banned

Joined Apr 2005

Dec 13, 2006 at 2:23 AM • #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

[UC] Uber Crue

W/

Joined Feb 2006

Dec 13, 2006 at 3:43 AM • #20

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