Talk:Firework Star/Archive 1

Crafting
So, uh... is the crafting square messed up, or do we just not know how to craft these things yet? Cobalt32 18:35, 7 December 2012 (UTC)


 * I personally do not know how to craft it, and I set the page up, if you do, I can put it in. Cultist O 18:36, 7 December 2012 (UTC)


 * Ah. I didn't know how to craft it either; I was just wondering why the grid was blank. Cobalt32 18:38, 7 December 2012 (UTC)


 * K, well it's a shapeless recipe of gunpowder, dye, and special effect modifiers (SEM optional) not sure how many SEMs you can have though, or how to depict that. Also you can have any number of dyes, so long as there is at least one, much like dying armour. Cultist O 18:47, 7 December 2012 (UTC)

What's the data value?
Data value is missing... Cultist O 19:29, 7 December 2012 (UTC)
 * Just did some experimenting. It's 402, right after firework rocket (401). --Kahless61 22:19, 7 December 2012 (UTC)

Recipe
The recipe visual is a little confusing. You only need one dye and a gunpowder to make it, but the recipe could make someone glance at it and think you need 8 dyes. --Kahless61 19:41, 7 December 2012 (UTC)


 * I agree, there must be a better way of displaying that, though the armour page doesn't bother to show dying leather armour. Cultist O 19:47, 7 December 2012 (UTC)


 * Also isn't the star shapeless to create and fade? Cultist O 20:10, 7 December 2012 (UTC)


 * Fixed --Kahless61 20:19, 7 December 2012 (UTC)

"Multiple Firework Stars can be crafted with Firework Rocket for multiple types of explosion." This statement is unclear. I believe it's talking about how you can put multiple stars into the rocket recipe (you cannot craft them WITH the rocket, however). The result will be all of the stars effects going off when the rocket explodes (I guess that could be interpreted as "multiple types of explosion" but I'd probably phrase it some other way). Anyone want to clean this up? I'm not very good at phrasing things. --Kahless61 21:09, 7 December 2012 (UTC)


 * Having not actually tested anything I'm sort of going off what it seems like they meant, but how's that for wording? Cultist O 21:41, 7 December 2012 (UTC)


 * Perfect. I've been doing testing. That's exactly the way it works. Thanks. --Kahless61 21:43, 7 December 2012 (UTC)

Diamonds??
That had better be some trail... --Mental Mouse 03:13, 8 December 2012 (UTC)

Possible Combinations
Not sure if anyone is interested in how many possible combinations there are for making fireworks, but being a math junky, I decided to figure it out, and although there were probably some redundancies in my math, I'm quite sure I'm correct or at least very close.

My calculations take into account:

On Firework Stars: leaving blank slots, all 16 colors, all 5 shapes, and the 2 effects.

On Firework Rockets: all the above with the addition of the 3 flight times.

Possible Firework Stars: 2,035,138,560 (2.0 * 109, 2 billion)

Possible Firework Rockets: 144,596,532,472,853,875,918,507,017,587,300, 000,000,000,000,000,000,000,000,000,000,000 (1.4 * 1065, 145 vigintillion) 199.187.203.27 00:36, 4 February 2013 (UTC)


 * Can you explain your math? Not all of us have the motivation to do so ourselves, and there are plenty who may be interested but wouldn't actually know how to do so. ;) 「 ディノ 奴 千？！ 」? · ☎ Dinoguy1000 17:47, 4 February 2013 (UTC)


 * Okay, so it's been about 2 weeks since I did the math so bare with me on recalling all the numbers as there were a lot. I will try to display the numbers in a box format seeing that the possibilities are based upon the 3 x 3 crafting grid.


 * First I would like to state how this is done. It is basically done using factorials. I.E. 3! (3 factorial) = 3 * 2 * 1 = 6. This is used to represent using up one of the options.


 * With that being said, there could be more rocket combinations than I stated I just didn't feel the need to put in the redundancy of using the same Firework Star multiple times.


 * C = Color
 * G = Gun Powder
 * S = Shape
 * E = Effect
 * Firework Star:
 * Possibilities include, blank slot, 16 colors, 5 shapes, and 2 effects.


 * The format I'll be following is as such:


 * C C C
 * C G C
 * E S E


 * This is for the reason that it's symmetrical. Now another thing, where I have the Shape and Effect slots at, the numbers will be bigger for the fact that it's possible to use a color instead. With all this in mind, here comes the numbers.


 * 16 16 15
 * 14 01 13
 * 14 16 13


 * When you multiply all the numbers together you should get something close to my number, Again, it's been a while so I may have missed something.


 * Firework Rocket:


 * For simplicity sake, I'm gonna call whatever the above comes out as, F (Firework Star Possibilities).


 * Format is as follows:


 * F = Firework Star
 * P = Paper
 * G = Gunpowder


 * F F F
 * F P F
 * G G G


 * The math for this should look like:


 * F+1 F+0 F-1
 * F-2 001 F-3
 * F-3 001 F-4


 * This is how I arrived at my numbers, and should work out roughly the same for everyone else. the "1"s in the equations represent the fact that the material has to exist (i.e. You can't make a Rocket without at least 1 paper and 1 gunpowder). Also another note, they always start out as 1 more than the number you're using because the possibility of leaving that slot blank. Hope this helps and that someone at least finds it interesting or useful.


 * Good day to all!
 * 199.187.203.27 20:32, 17 February 2013 (UTC)

--

I found something completely different, considering every different possible description for a Firework Star and for a Firework Rocket. I hope I will make myself clear, and I may be absolutely or slightly wrong, but here is my reasoning, please correct me if I'm wrong.

Firework Star
The order of the dyes on the crafting table matters, as it is kept in the Firework Star description. The order of the shapes and effects doesn't matter. With the addition of effects and shape, we've got:
 * 16 * 20 possibilities with 1 dye: there are 16 colors, and we can combine the color we use with ((1 * nothing) + (4 * shape) + (2 * one effect) + (1 * two effects) + (8 * (shape and effect)) + (4 * (shape and two effects))).

To those 16 * 20 possibilities we add:
 * (16 ^ 2) * 20 possibilities with two dyes: there are 16 * 16 combinations of two colors. Each of those combinations can be combined with the 20 combinations of shapes and effects listed above.
 * The same applies with 3, 4 and 5 dyes, adding ((16 ^ 3) + (16 ^ 4) + (16 ^ 5)) * 20 possibilities to the total.

The total is now (16 + (16 ^ 2) + (16 ^ 3) + (16 ^ 4) + (16 ^ 5)) * 20 possibilities.
 * With 6 dyes, there is room for only two shapes and effects, adding (16 ^ 6) * 16, as we can combine each color combination with ((1 * nothing) + (4 * shape) + (2 * one effect) + (1 * two effects) + (8 * (shape and effect))).
 * With 7 dyes, there is room for only one shape or effect, adding (16 ^ 7) * 7 possibilities, as we can combine each color combination with ((1 * nothing) + (4 * shape) + (2 * effect)).
 * With 8 dyes, there is no room for any shape or effect, adding (16 ^ 8) possibilities.

The total is (16 + (16 ^ 2) + (16 ^ 3) + (16 ^ 4) + (16 ^ 5)) * 20 + (16 ^ 6) * 16 + (16 ^ 7) * 7 + (16 ^ 8) = 6 464 820 544 "basic" Firework Stars. With the addition of the fading effect, it is possible to combine a Firework Star with zero to height dyes. The color order matters as it changes the item description. This gives us 1 + 16 + (16 ^ 2) + (16 ^ 3) + (16 ^ 4) + (16 ^ 5) + (16 ^ 6) + (16 ^ 7) + (16 ^ 8) = 4 581 298 449 possible combinations for each different Firework Star, for a grand total of 6 464 820 544 * 4 581 298 449 = 29 617 272 331 290 537 984 (almost 3 * 10 ^ 19) different Firework Stars. Let's call this number F.

Firework Rocket
The order of the Firework Stars matters, as it changes the description of the resulting Firework Rocket. When we craft a Firework Rocket, we can use 0 to 8 Firework Stars:
 * With no Firework Star, there is 1 possible Firework Rocket.
 * With 1 Firework Star, there are F different Firework Rockets.
 * With 2 Firework Stars, there are F ^ 2 different Firework Rockets...

And so on, for a total of 1 + F + F ^ 2 + F ^ 3 + F ^ 4 + F ^ 5 + F ^ 6 + F ^ 7 + F ^ 8 = 1 + 29617272331290537984 + (29617272331290537984 ^ 2) + (29617272331290537984 ^ 3) + (29617272331290537984 ^ 4) + (29617272331290537984 ^ 5) + (29617272331290537984 ^ 6) + (29617272331290537984 ^ 7) + (29617272331290537984 ^ 8) = 1 + 29617272331290537984 + 877182820345828058750339853728146784256 + 25979762474511892143932594053669186249668885871489821179904 + 769449700309861263739094623922315132647847384609171621348337248158353809473536 + 22789001319307050497706012074971683525653312722148132070854539043513650253661039278095577250791424 + 674948058232056273299612861129000441465762317372797488626668341180447861609517974285024121454540594261050546733449216 + 19990120450134555088575054298746712745363599118346368260681572208743201478318885327968154767483683366362883120663775492800476616583020544 + 592052841306935312947348476063265161079110776350040932596249455027768587883650895750009679296435280362889052473179577731220727873443647112636939821484343296 = 592 052 841 306 935 312 967 338 596 513 399 716 168 360 778 707 019 701 614 935 456 008 563 263 636 296 705 737 900 959 808 170 252 419 146 200 061 368 426 268 073 631 952 451 281 025 067 718 465 119 580 161 different Firework Rockets. That's quite a lot! (almost 6 * 10 ^ 155 or 6 * 10 ^ 55 googol) Again, I may be wrong. If you think I made an error, please point it out! 82.226.69.1 07:20, 7 February 2014 (UTC) Jidehem1993