Forums → Games → GemCraft CS: gem combining schemes competition
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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", 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
Orange growth value
Black G61 analogue
Black growth value
Total groth: 0.62851
scheme_G81_manaleech / standard_G81_manaleech = 2 ^ (0.62851 * 80) / 2 ^ (0.589 * 80) = 8.94x
- 89 Replies
@psorek: I am only crazy mathematican/IT specialist who also loves TD games
Not the only.
@cronos51: The result is 1,23 better.
There was a reason to post only pure gems. I planned 2 competitions - one is for pure gem combining schemes, another will be multicolor schemes with amplifiers. That's because we can get different results if we are combining pure stones which we've goten by using single specific scheme and it's better to get optimal result for pure gems first. It's natural to get better result by combining B and O in some proportion, because O grow much faster, than B. We can even find this proportion:
let say we have mana for G60 gem. Then we can get different results varying B and O proportions -
So, the best possible gain compared to 1x1 B/O combinig we could get is:
it's about 1.11x.
Of course, in practice we can't get 59.6443 and 57.8 grade gems, but we can get close result by combining B and O in 3:1 (about x1.10)
So, @cronos51, your result is a little bit offtopic ,since you are using crosscolor scheme, but still it's a very nice offtopic. It contains some magic I can't explain, we need to explore it. The only possible explanatoin I have is each time we combinig G(N) and G(N-1) gems we are loosing ~0.5-1%. According to my schemes I lose 3-5% for Black and 3-5% for Orange on crossgrade combinations, but still 1.23x is very nice gain. Did you apply your scheme several times?