#game math

[imagined-realitie]

Hey science side of tumblr, I need help figuring a Kirby thing out. How big is Popstar? I think if we figure out the gravity we can figure out this. Kirby is 8 inches tall, but we can also use Samus from her appearance in Kirby's Dream Land 3 and how Kirby scales to her. Which is around half her height. Then, we use Kirby or a star block(which is of similar height) to measure the height of that one level where Kirby enters free fall from entering the moon like a door.

[mathhombre]

Puzzle Quest Math

On Reddit, somebody's mathifying my timewaster game, Marvel Puzzle Quest.

I play it free, being an old cheapskate. There are two main currencies in the game, Hero Points and Command Points. The main thing you want, after playing awhile, are the 5 star characters. It takes 13 covers to champ a character, and 113 to maximize a 5 star. I'm just maximizing my first ones...

There are two ways in the store to get a chance at 5 star characters, the Latest Legends and the Classic Legends. The Latest Legends are the three latest, released once/month. Classic Legends are all the rest, with three at elevated 18x odds. Latest Legends cost 25 CP and Classics 20 CP. There's a chance at bonus shards (fractions of a cover) which is also marginally different. Typically players hoard LL tokens until there are 3 good ones in the store. (I like having everyone champed, so I spend from the hoard enough to get characters champed. Just recently spent 750 covers on a good store with Namor, Agatha Harkness and Mephisto, though.) Currently there are 104 5 star characters.

For every 1000 HP spent (50 covers), in Classic Legends you should expect 8 five star characters, .99 of each featured character [(1/6)*18*50*(1/152)], and about 2% chance at any non-featured character. As well as 2 occurrences of 5 star bonus shards and 150 shards (30% of a cover) guaranteed. About .1% chance on a single pull of a given non-featured character, so about 5.5% chance at a given cover you want. This is decreasing a little bit each month as the roster of 5 star characters grows.

For every 1000 HP spent (40 covers), in Latest Legends, you should expect 5.7 five star characters, or 1.9 of each featured character. Also 120 shards, and 3.2 occurrences of bonus shards. These probabilities will stay steady as long as these are the terms.

[strange-in-motion]

So I have been playing Grim Soul on my phone (for forever) and I need to beat the Forsaken GateKeeper cause fucking loot. So I did the math on how much stuff I am gonna need.

180 armor

20 Thick Cloth

25 Rope

25 Leather

3 Copper

For : Kettle Hat, Gabeson, Quilted Trousers, Leather Gloves, High Boots

Healing

40 Raw Meat

80 Leek Seeds

520 Flaw Fiber

For: Jerky, Leek Soup, and Bandages

Now for the total raw materials I need because typically I can't find shit the level I need:

690 Flax Fiber

25 Pelts

40 Raw Meat

80 Leek Seeds

20 Glass Vials

100 Edible Red Berried

200 Not Edible Berries

300 Wood

9 Copper Ore

So I am also aiming for 20 Bitter Tinctures, which good fucking luck finding glass vials, and a relative good amount of health.

This doesn't include weapons, or what I need for building the altar so I can have more abilities. Or feeding my direwolf and my character. Constantlty needing armor and weapons, and tools to gather the supplies.

On average I can find 20-40 flax fiber in one go if I can run to the good raid spots.

I don't pay any money to play or get shit so this is gonna take me a long time. But I want that loot.

[saltyseals]

I did the math!

So if the online RPGFPS Destiny (for the PS3, PS4, Xbox360, and Xbox One) was like SAO (Sword Art Online the original series), I would have been in the game for roughly 141.25 days. Considering my usual play time and that the longest activity being a raid would last about 4 hours maximum. I have logged 23 days and 13 hours in the game to date and that is constant battle which would make a person go insane to be constantly fighting. It translates to 565 hours and I used the 4 hours fighting daily to divide the 565 giving me the 141.25. (This may not be accurate at all seein as I'd probably spend the first 20 days in game playin around with friends and trying to figure out WTF to do so it would be more like 160 or 170 days) (I have too much free time 😆)

[mabimath]

Follow Up for Special Upgrades: Red or Blue

Cylinders! Yes, of course, cylinders! I was hoping no one would mention those, as each alchemy skill has different variables, which calculates slightly differently depending on how many charges you have, which requires me to calculate everything out. I'm looking at you, Zurrkitty.

Still, I can't ignore the Alchemists that make up a good amount of the Mabinogi population, and for good reason.

I'll only be calculating the simplified formulas for three skills, Water Cannon, Flame Burst and Heat Buster. The other skills are affected through non-damage attributes or the affects on increase damage are minor or negligible.

And, once again, we will be looking at the life of Milletian. In addition to his other traits, through years of alchemical training, he has gained the ability to always be in prime range for Water Cannon. Good job, Milletian!

Except this time, we will be doing something different. We will be assuming the wiki's formula is wrong. And the reason is that, through initial testing and application of common sense, it's been discovered that, despite what the wiki's formula may show, charging up multiple charges of Water Cannon does, indeed, increase its damage.

The error is most likely a failure to use parentheses. With that out of the way, let's get started.

The formula for the skills we are using is:

Damage = (Base + ResourceMultiplier * RemainingResource) * ChargeMultiplier + (FlatAlchemyBonuses * Charges)

Next, we calculate the average damage for both:

0.7 * ((145 + 0.3 * x) * 1 + (31 * 1)) + 0.3 * (((145 + 0.3 * x) * 1 + (31 * 1)) + 1.5 * ((150 + 0.3 * x) * 1 + (31 * 1))) = 0.7 * ((145 + 0.3 * x) * 1 + (0 * 1)) + 0.3 * (((145 + 0.3 * x) * 1 + (0 * 1)) + 2.12 * ((150 + 0.3 * x) * 1 + (0 * 1)))

As long as you have over 305 mana, your Water Cannon will benefit more from red than blue. Next, we'll have to use the same type of calculation for the other skills and situations.

Water Cannon, 1 Charge: 305 Mana Water Cannon, 5 Charge: 119 Mana Flame Burst, 1 Charge: 1326 Health Flame Burst, 5 Charge: 1326 Health Heat Buster: Blue is never better

Technically, that last line is false. Even so, good luck getting -2281 Stamina

More Follow-Up: As you get greater Fire Alchemy Damage enchants, you need less and less health to make Flame Burst worthwhile. The formula is 

y = -12.5 * x + 1326

where y is Health and x is Flame Damage Enchants.

[minigamesuk]

New Post has been published on Cool Math Games And CoolMath More New Cool Math Games

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Math Car

Take the new math car out for a test drive.

[level99games]

Check out a look at the math of BattleCON, and see how BattleCON uses a mathematical balance to naturally simulate the tradeoffs of speed, power, defense, and range that make this dueling game so compelling.