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# The Math Behind Pokemon!

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by

## Kevin Afghani

on 4 June 2014

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#### Transcript of The Math Behind Pokemon!

Catch Formula
Each Pokemon has his own "Catch Rate," which is the number that basically determines the formula.
Formula and Shake Rate
Catch Value = ( [3 x Max HP] - [2 x HP]) x (Catch Rate x Ball Modifier) / (3 x Max HP) x Status Modifier
Examples!!!
Shiny Chance!
Each Pokemon has a small chance to be a shiny Pokemon, which is a variation of color set.
The Math Behind Pokemon Fire-Red.
The Math Behind
Example Pokemon!
Pikachu- Viridian Forest- Encounter rate 5%
Shiny Example
Pikachu when caught is level 5, he has 16HP and his catch rate is 190!
By Kevin Afghani and Neil Rhode
The Encounter rate!
The encounter rate is how often you will run into this pokemon in a specific plot tall grass. Tall grass is the only place you can run into Pokemon.
For this example we will be using specific Pokemon to get our points across.
Each Pokemon has it's own encounter rate for how often that Pokemon will show up in a specific plot of grass.
Scyther - Safari Zone- Encounter Rate 4%
It is a 1-8192 chance that a Pokemon will come up shiny, or a .01220703125% chance you will find a shiny pokemon.
Charizard
A Pokemon's max Hit Points, it's hit points when you try to catch it, any status it is affected by, and the type of Pokeball you use all factor into the equation.
To catch a Pokemon you must battle the desired Pokemon you wish to catch and catch it in something called a Pokeball.
After the "Catch Value" has been determined, the pokeball will shake three times, every time it shakes it generates a random number from 1-255, if the resulting number is higher than the calculated Catch Value the Pokemon is not caught. However if all three numbers are lower than the Catch Value the Pokemon is Caught!
Catch Value = ( [3 x 16] - [2 x 16]) x (190 x 1) / (3 x 16) x 1
Lets just say he is at full health and we are using a Pokeball.
Pikachu's Catch Value is 39.5!
This means that a wild Pikachu would be very hard to catch at full health!
Sources
http://bulbapedia.bulbagarden.net/wiki/List_of_Pok%C3%A9mon_by_catch_rate

http://www.serebii.net/games/capture.shtml

http://www.marriland.com/tools/stat-calculator#802|70|0|0|0|0|0|0|0|0|0|0|0|0|0|

http://bulbapedia.bulbagarden.net/wiki/Kanto_Safari_Zone

http://www.upokecenter.com/content/pokemon-ruby-version-sapphire-version-and-emerald-version-safari-zone

SAFARI ZONE!!
Catch Factor is 100/1275 of the Pokemon's normal Catch Rate
Bait- For 2-6 turns the Pokemon's catch factor is halved- Escape factor is quartered (.25)

Rock- For 2-6 turns the Pokemon's catch factor is doubled- Escape factor is also doubled
At the end of a turn, a random number from 0 to 99 is generated, and is compared to 5 times its "modified escape factor":1275/100 of the escape rate (rounded down). If the random value is less, the Pokémon escapes.
Shiny Pikachu- Encounter Rate .0005%
Introduction to Pokemon
Pokemon is a game that is mainly about catching and battling Creatures called, Pokemon!
Stats and Moves
IV's and EV's and Natures.
Each Pokemon is born with it's own IV's, or Individual Values, that make each Pokemon unique.
Each Pokemon is generated with a number from 0-31 in each of their stats the second you see the Pokemon. The IV's effect their stats greatly and make them much stronger, faster, or bulkier the higher that specific IV is.
Each kind of Pokemon has it's own stats that effect the way it battles.
There are _____ different kinds of stats
HP- Effects the Hit points

Attack- Effects moves that are Normal, Fighting, Poison, Ground, Flying, Bug, Rock, Ghost, Steel.

Defense- Effects how a pokemon can handle Attack moves

Special Attack- Effects moves that are Fire, Water, Electric, Grass, Ice, Psychic, Dragon, Dark.

Special Defense- How a Pokemon can handle Sp. Atk Moves

Speed- Determines which Pokemon goes first.
Ev's, or Effort Values, are sort of like
IV's, except they are earned by defeating certain Pokemon instead of spawned with.
A Pokemon's Ev's are blank when you catch it, but grow over time as you battle with them, effectively making their stats grow. You can also buy items to boost a specific EV stat.
Each Pokemon can have 504 EV points, but only 252 in a specific stat.
Each Pokemon is spawned with a Nature that ALSO effects the Stats of a Pokemon!!
I could get into specific natures, but nope! Pokemon is too darn complicated already.
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