ForumsGamesGemCraft CS: gem combining schemes competition

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daniil_sizov_98
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daniil_sizov_98
30 posts
Farmer

Some of you could have read my post on reddit (http://www.reddit.com/r/Gemcraft/comments/2385eg/sc_about_gem_combining_mechanics_and_why_we/) in which I explain how does gem combining works. But one of conclusions I've made â" "Try to avoid combining one color gems of different grades" â" is correct only in theory, since if you combine one color gems of different grades your gem's attack speed will suffer a lot. But in practice attack speed is capped by 30 shots per second.

So, in practice you can get some gain in specials (if your gem's attack speed is greater than 30 sps) by using special combining schemes, e.g. (((G20 + G20) + G20) + G20) instead of ((G20 + G20) + (G20 + G20)). By this post I want to start new funny competition â" for best combining scheme for Black and Orange! To set the new record you can post your G60 gem analogue (i.e. gem with the same cost as G60 gem), but since your scheme may not allow you to make G60 gem analogue, it will be better to post your ~G60 gem and a special value (let call it "growth speed&quot, which is:

log(result_gem_special / base_gem_special) / log(n) (n is number of identical base gems combined into resulted gem)

Let say you have base pure gem x and combining scheme g(x1, x2, ..., xn) (g(x1, x2, ..., xn) combines n input gems into one resulting gem). Then "growth value" will be (log(special(y) / special(x)) / log(n)), where y = f(x) = g(x, x, ..., x). You need to find such a scheme g(x1, ..., xn), which has maximum "growth value". Since G7+ gems have extra bonuses and gems lower than G7 have not, please, use only G7+ gems as your base gems to calculate "growth value".

Why I'm starting such a competition?

Because optimal combining schemes for Orange and Black is Holy Grail for all Gemcraft SC players. Growth values for standard combining are ~0.4647 for orange and ~0.1243 for black for total ~0.589 for Black/Orange. That means, that if you grade your B/O gem up, it's manaleech power will be 2 ^ 0.589 = 1.5042x, and after 80 grading ups it will be ~152'913'823'388'742x. But if we could find schemes, which will show even e.g. 0.51 and 0.14 growth values, if you grade your B/O gem up according to those schemes, it's manaleech power will be 2 ^ 0.65 = ~1.57x per grade, and after 80 grading ups it will be ~4'503'599'627'370'509x. So, G81 gem will leech 30x more mana and it will be 30x less time to get G100 gem and beat the endurance even without WoE and shrines

I will start:

Orange G61 analogue
http://i.imgur.com/qm19DGE.png
Orange growth value
http://i.imgur.com/h0fPVqZ.png

Black G61 analogue
http://i.imgur.com/3SOPW1A.png

Black growth value
http://i.imgur.com/sqWIZGV.png

Total groth: 0.62851
scheme_G81_manaleech / standard_G81_manaleech = 2 ^ (0.62851 * 80) / 2 ^ (0.589 * 80) = 8.94x

  • 89 Replies
daniil_sizov_98
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daniil_sizov_98
30 posts
Farmer

@psorek, yes, all I managed to get is ~1.3-1.4x greater than your result, but that scheme is just monstrous.

Scheme for Orange (growth value = 0.49649):
1: 0 + 0
2: 1 + 1
3: 2 + 2
4: 0 + 1
5: 1 + 4
6: 2 + 5
7: 3 + 6
8: 0 + 4
9: 0 + 8
10: 0 + 9
11: 0 + 10
12: 1 + 11
13: 1 + 12
14: 5 + 13
15: 6 + 14
16: 7 + 15
17: 1 + 10
18: 1 + 17
19: 4 + 18
20: 8 + 19
21: 9 + 20
22: 10 + 21
23: 12 + 22
24: 17 + 23
25: 14 + 24
26: 15 + 25
27: 16 + 26

Scheme for black (growth value = 0.13874):
1: 0 + 0
2: 0 + 1
3: 1 + 2
4: 0 + 2
5: 0 + 4
6: 1 + 5
7: 3 + 6
8: 0 + 5
9: 1 + 8
10: 1 + 9
11: 2 + 10
12: 4 + 11
13: 6 + 12
14: 7 + 13
15: 2 + 9
16: 2 + 15
17: 4 + 16
18: 6 + 17
19: 2 + 8
20: 2 + 19
21: 4 + 20
22: 5 + 12
23: 9 + 22
24: 19 + 23
25: 20 + 24
26: 21 + 25
27: 18 + 26
28: 14 + 27

0 is for base gem.

daniil_sizov_98
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daniil_sizov_98
30 posts
Farmer

Last step is for resulting gem

daniil_sizov_98
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daniil_sizov_98
30 posts
Farmer

@Astroshak, it's better to combine G1 Red with O or B first (I prefer combining even 1G Black with 1G Red and then this double gem with high grade Orange, amplifying this triple gem with Blacks). It doesn't matter what to do first - combine to triple and grading up or grading up and then combining into triple.

@borthelcash, yes, all necessary skills are maxed to 60

cronos51
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cronos51
108 posts
Nomad

http://i61.tinypic.com/rhpiiq.jpg

I tried to work in my previous empirical findings, which were:
Gem A: Black from the bottom, but close to 100% orange
Gem B: O/B 50%
Starting to supergem from only G8 (which turned out better than G6/G10).

The result is 1,23 better. I'll write it down as you, psorek and daniil, might be able to work that into your mathematic approaches and as it might inspire others to find even better recipes:

Gem A1:
G1: OB | OB
G2: O | O
G4: O | O
G6: O | O
Result: G8

Gem A2:
G1: OOOB | OBBB
G3: O | B
G5: O | B
Result: G7

((A1+A2)+A2)=A3 (G8)

Gem B1:
G1: OB | OB
G2: O | B
G4: O | B
G6: O | B
Result: G8

((A3+B1)+B1)= Resulting G9

From there I upgraded using psoreks magic formula ....

psorek
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psorek
447 posts
Jester

Yep, this formula is purely magic.

Can you explain your diagrams to me? I don't understand them fully.

psorek
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psorek
447 posts
Jester

What I've found just minute ago is that before applying my scheme it's good to perform weaving exactly once, to get g4 gem to start with. Boosts managain by 1.16 factor.

psorek
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psorek
447 posts
Jester

There is no much better than standard "U" combining scheme for damage, but one for yellow is the same as for black and orange. It means that for better killing gems we can:
1) use gem enchanting shrine to boost g1 black and yellow a couple of times - the same ammount of times for black and yellow, 10 times each does its job
2) make eg. g67 equivalent black and yellow supergems (according to my scheme, which MAY be universal)
3) add single red to black and farm kills
4) weave supergems to get g70 killing gem with 300x or so damage versus standard one

Anyone wants to try?

thunderrider
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thunderrider
641 posts
Peasant

Uh.....all this mathy stuff is confusing me. And to think I was the one who started it all....I feel proud of you guys lol, you've carried this so so far.

It's like for the GC0 228 waves challenge. I'm like Fractalman, being the one to start it all with general tips that inspire more. And you guys are like Munch, AsSto, Einfanch, Honza, and Inthrees. Lol.

psorek
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psorek
447 posts
Jester

Well... I am only crazy mathematican/IT specialist who also loves TD games. I will soon try to find best non-supergemming technique - weaving-like.

cronos51
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cronos51
108 posts
Nomad

Ok, I explain, should have done it better, apperently ... xD

Exemple
Gem B1:
G1: OB | OB
G2: O | B
G4: O | B
G6: O | B

Start with 1xG1O + 1xG1B, Duplicate (or do that twice) > 2 G2 OB
For G2, add 1xG2O and 1xG2B two the existing 2 G2OB's, combine the two G3's to G4, duplicate (and so on) ...
In fact its the classic 'smart-upgrade-scheme', or the 'specced method', as thunder would love to say

The only specials:
(a) For the first Gem (A1) its not Orange/Black but pure Orange till G8,
(b) for (A2) you Start with 4xG1 and add G3/G5 to get to G7 OB, which is combined into (A1)

I realize, im not that gifted at explaining in english. But it is understandable now?

psorek
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psorek
447 posts
Jester

Ah, it's color scheme for weaving I should catch that.

psorek
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psorek
447 posts
Jester

OK, according to my method for killing gems here are examples

Supergem g72 equiv and standard one at 0 hits:
https://dl.dropboxusercontent.com/u/64607958/g72%20killing%20supergem.png
https://dl.dropboxusercontent.com/u/64607958/g72%20killing%20standard.png

1.35 more damage * 5.34 more specials gives 7.2 more damage even without gem enchanting shrine! According to my post about these shrines it can be further multiplied by 85 what gives us about 600x more powerful killing gem. Nice, yeah?

thunderrider
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thunderrider
641 posts
Peasant

With amps specced/supered/whatevered that also bumps your multiplier there. c:

And no, I'm still confuzzled. I got the 16-combine method down pat, but it seems like a huge effort for +3% better(compared grade 4, specced method was 9.07/hit, 16-combine was 9.31/hit. Unless it is exponential in increasingly different %tage(eg, at grade 50 a 400% difference)...I don't like it. It took me ages to figure out how to get from G4 to G7)

psorek
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psorek
447 posts
Jester

It is expotential. 10x more mana/hit for grade 70 gem not supergem counting amps. I wouldn't enjoy poor thing

psorek
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psorek
447 posts
Jester

mistype, it was supergem and i wasn't counting amps.

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