/sci/ - Science & Math » Thread #13412638

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minecraf cows Tue 20 Jul 02:15:29 2021 No.13412638 View Reply Original Report

Quoted By: >>13412797 >>13413442 >>13414108 >>13414184 >>13414933 >>13416132

First I apologize if it is not the correct board for this and if my English is not the most adequate.
hello I am trying to find an equation to calculate the number of cows in minecraf after x number of reproductions, basically the cows reproduce in pairs a couple breeds a baby cow
the first time I reproduce them there will be 3 cows
the second there will be 4
the third there will be 6
the fourth there will be 9
note that I have 10 years without using algebra

Anonymous

Anonymous Tue 20 Jul 2021 02:19:37 No.13412651 Report

Quoted By: >>13412807

2×floor[ (3/2)^n ]

Anonymous

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Anonymous Tue 20 Jul 2021 03:06:50 No.13412797 Report

Quoted By: >>13412806 >>13412807 >>13412843 >>13413489

>>13412638
2 adult cows can be breed every 5 minutes to produce a baby cow, and a baby cow will take 20 minutes to mature into an adult cow. Lets assume you have a starting population of x, where x >= 2. Assuming you breed every eligible cow the moment they come off cool down you have the recurrence relation shown in pic rel.

Anonymous

Anonymous Tue 20 Jul 2021 03:11:10 No.13412806 Report

Quoted By: >>13412843

>>13412797
ok, i messed up the floor should be around the entire fraction.

Anonymous

Anonymous Tue 20 Jul 2021 03:11:29 No.13412807 Report

Quoted By: >>13413889

>>13412651
I meant
floor[ 2*(3/2)^n ]
>>13412797
Complicated ass

Anonymous

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Anonymous Tue 20 Jul 2021 03:24:48 No.13412843 Report

Quoted By:

>>13412797
>>13412806
Ok, more mistakes. Anyways i think this should work. The population is determined by the current generation, f_n plus the population of all breeding cows divided by 2. Since it takes 4 generations to mature, the breeding population is f_{n-4}. You can generalize this as long as the breeding cooldown divides the maturity time. In other cases, I don't have a generalization. This seems like an interesting problem though

Anonymous

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Anonymous Tue 20 Jul 2021 07:06:10 No.13413442 Report

Quoted By: >>13413444

>>13412638
I'm far from a mathematician, but definitely a programmer.
Here's a simulation of cows breeding for 20 generations:
[code:lit]
2 3 4 6 9 13 19 28 42
63 94 141 211 316 474
711 1066 1599 2398 3597
[/code:lit]

The code in haskell.
[code:lit]
-- replace 20 with any number of generations
main = print $ reverse (cow 20)
cow i = cowSeq (i - 1) [2]

cowSeq 0 xs = xs
cowSeq i xs = cowSeq (i - 1) ((cow' $ head xs):xs)
cow' n = n `div` 2 + n
[/code:lit]

Anonymous

Anonymous Tue 20 Jul 2021 07:07:11 No.13413444 Report

Quoted By:

>>13413442
Oh well. Apparently [code:lit] markdown doesn't work on /sci/.
Whatever.

Anonymous

Anonymous Tue 20 Jul 2021 07:31:23 No.13413489 Report

Quoted By: >>13415736

>>13412797
Interesting, without further thought the n-4 thing seems incredibly random and suspicious. I have never seen such an inductive step.

Anonymous

Anonymous Tue 20 Jul 2021 09:03:35 No.13413663 Report

Quoted By: >>13413902 >>13417210

This is unironically the most intellectual thread on /sci/ right now

Anonymous

Anonymous Tue 20 Jul 2021 11:03:43 No.13413889 Report

Quoted By:

>>13412807
Ok fuck sorry I meant this.
First term 2
Next term is always floor( 3/2 * previous term)

Anonymous

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Anonymous Tue 20 Jul 2021 11:09:29 No.13413902 Report

Quoted By: >>13417210

>>13413663
Was just about to post this. Kind of refreshing

Anonymous

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Anonymous Tue 20 Jul 2021 11:57:16 No.13414108 Report

Quoted By: >>13414868 >>13415736 >>13416013

>>13412638
An anon already said this but the after $n$ reproductions (assuming all cows are going to be full grown always) there will be $a_n = a_{n-1} + \left \lfloor \frac{a_{n-1} }{2} \right \rfloor$ cows (remember $a_0=2$ ).
Searching it up in OEIS I found this formula: $a_n = \left \lceil K (\frac{3}{2})^n \right \rceil$ where $K = 1.08151366858984487730463398 ...$ , pic rel.

Anonymous

Anonymous Tue 20 Jul 2021 12:14:04 No.13414184 Report

Quoted By: >>13414933

>>13412638
3 + (R(R-1))/2

where R -1st,2nd.3rd,......reproduction.

Anonymous

Anonymous Tue 20 Jul 2021 12:54:34 No.13414552 Report

Quoted By:

Uhh I think anons are making this WAAAAY more complicated than it needs to be.

Pn = population of nth generation

Pn+1 = Pn*3/2
If the population is odd, the odd man out doesn't get to breed. So just round down to the nearest even.

so if you start with P0
P1 = P0*(3/2)^1
P2 = P1*(3/2)^1 = P0*(3/2)^2
P3 = P2*(3/2)^1 = P1*(3/2)^2 = P0*(3/2)^3
....
Pn = P0*(3/2)^n

Except, we have this awkward thing where the odd man out doesn't get to breed.
Therefore the only way to get a truly accurate answer is to iterate. Unless you can find some kind of pattern for the odd-man-out problem.

Anonymous

Anonymous Tue 20 Jul 2021 13:16:24 No.13414868 Report

Quoted By:

>>13414108
>sequence already listed
Based

Anonymous

Anonymous Tue 20 Jul 2021 13:19:37 No.13414933 Report

Quoted By:

>>13414184
>>13412638
shiet its wrong,nvm

Anonymous

Anonymous Tue 20 Jul 2021 15:44:23 No.13415736 Report

Quoted By:

>>13413489
It's because it takes 4 generations for a cow to mature. Thus the population of cows able to breed must be the 4th previous generation, as all of them would have matured by now. Any later generation would include baby cows. This works because the the time breeding cooldown (5 min) divides the maturity time (20 min). The OEIS sequence >>13414108
posted seems to breed cows every time the last generation fully matures, but you can be a bit more efficient than that.

Anonymous

Anonymous Tue 20 Jul 2021 15:51:17 No.13415766 Report

Quoted By: >>13415814 >>13415956

how can a cow breed with a cow, they're both female

Anonymous

Anonymous Tue 20 Jul 2021 16:03:42 No.13415814 Report

Quoted By:

>>13415766
in soviet minecraft, cow breeds you

Anonymous

Anonymous Tue 20 Jul 2021 16:40:47 No.13415956 Report

Quoted By:

>>13415766
It's just a game. There's no difference between two animals in regards to breeding in Minecraft. There's just no concept of sex, animals don't have any. You right click two animals nearby each other with their favorite food and suddenly a third one appears. It can be two any animals of the same type that can breed.

bbbbbbbbbb

bbbbbbbbbb Tue 20 Jul 2021 17:08:34 No.13416013 Report

Quoted By:

>>13414108
OEIS is based af

Anonymous

Anonymous Tue 20 Jul 2021 17:50:21 No.13416132 Report

Quoted By:

>>13412638
>note that I have 10 years without using algebra
stop rotting your brain with minecraft and pick up basic math
it's more rewarding in the long run

Anonymous

Anonymous Tue 20 Jul 2021 22:56:25 No.13417210 Report

Quoted By:

>>13413663
>>13413902
/ iq /i;op:only;boards:sci
or if you you have a better regex please share

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