Principia Mathematica

 

The mathematics of Runecrafting

 

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Introduction

 

 

 

This guide is intended to help readers to calculate levels required to craft (multiple) runes mathematically, instead of checking guides as is usually the case. Through this, not only can the levels required be obtained more quickly, they can also be obtained when offline. It is the expressed goal of this guide to awaken Runecrafters to the fact that Runecrafting level requirements are not randomly chosen as is perhaps often thought to be the case, and in so doing discover the underlying mathematics behind it.

 

 

 

Level to Craft 1 Rune

 

 

 

Suppose all the runes are numbered starting from 1, in a lowest-to-highest order (do not count astrals). Thus, air runes will be 1, minds 2, waters 3, et cetera. Now, let this number be denoted by n. The level required to craft 1 rune n per essence is obtained by the following:

 

 

 

 

 

 

Level to Craft Multiple Runes

 

 

 

Follow the aforementioned n notation. The level to craft x of rune n per essence is given by C(x-1) where C is the rune coefficient of rune n. The coefficient C for rune n is calculated as follows:

 

 

 

 

 

 

Thus, the level to craft x of rune n per essence is

 

 

 

 

 

 

List of Levels

 

 

 

Using the above formulae, we can compute the levels required. We obtain

 

 

 

 

*Using the formula, L is undefined. As L is the lowest level rune, it requires the lowest Runecrafting level to craft, i.e. 1.

 

**The formulae do not work for Astral runes as they were not part of the original runes. The levels for them thus cannot be mathematically derived.

 

***Theoretically, since levels obviously do not go beyond 99.

 

 

 

Conclusion

 

 

 

By assigning each rune a number n equal to the rank of its level from the bottom, we can calculate the level required to craft it and the level required to craft it a certain number of times per essence. The beauty and the importance of mathematics are thus clearly observed.

 

 

 

Feel free to post any questions, corrections, or any other relevant comments.

Yep, thats right, but I think most of us knew this allready,

 

and bassicly it can also be found in the runecrafting skill 'guide' in game.

 

 

 

well, you put some nice effort in it :thumbsup:.

Yep, thats right, but I think most of us knew this allready,

 

and bassicly it can also be found in the runecrafting skill 'guide' in game.

 

 

 

well, you put some nice effort in it :thumbsup:.

 

 

 

:roll:

 

 

 

Very well done. You learn something new everyday! I can always appreciate a clever application of mathematics.

i think my brain exploded :shock:

Instead of k=1, shouldn't it be from n to infinity? Maybe I'm just reading it wrong.

 

 

 

EDIT: No, you're right. My bad.

Eh, too much math. :wall:

Work out the actual combat formula now, JaGex will hate you but players will love you.

Work out the actual combat formula now, JaGex will hate you but players will love you.

 

 

 

 

 

We will loves you :

Work out the actual combat formula now, JaGex will hate you but players will love you.

 

 

 

 

 

We will loves you :

 

Dito :thumbsup:

Nice job! :thumbsup: I knew the pattern, but I haven't learned how to write it like that in school yet. (I'm going to be in 10th grade and Alg II next year)

I enjoy some good math, but seriously this is pretty pointless where people can look at it and be, oh so thats how it works :|

=D> =D> #-o =D>