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Codename: Mathematician

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Statistics
Health 547 +77 Attack damage 52.622 +3.095
Health regen. 5.5 +0.6 Attack speed [*] 0.625  (+ 0 +3.142%)
Mana 381 +51 Armor 22.5 +2.65
Mana regen. 6 +0.8 Magic resist. 30 +0
ranged 525 Move. speed 340


Abilities

Golden Ratio
ChampionSquare

Mathematician gains more gold based on how many times he has gained gold since he last died.

Ability Details
Golden Ratio is an ability.

Additional Information:

  • Gold gain equation: (φ^n - (1 - φ)^n)/√5, where n = times gold has been gained since death and φ is the golden ratio.
    • This yields the nth Fibonacci number.


Sine Wave
RANGE: 1200
COST: 40 / 50 / 60 / 70 / 80 mana
COOLDOWN: 7
ChampionSquare

Active: After a short cast time, Mathematician launches 10 bolts that oscillate between spreading out evenly to 750 units across and converging every 314 units, starting together. Each bolt passes through minions and small monsters, but stops at terrain, champions, and large and epic monsters, dealing magic damage when they initially make contact with enemies. Additionally, they are 300 units long, dealing magic damage to enemies inside them every 0.25 seconds. Each bolt deals its own damage.

「 Contact Magic Damage: 4 / 5.5 / 7 / 8.5 / 10 (+4.2% AP) 」「 Maximum Contact Magic Damage: 40 / 55 / 70 / 85 / 100 (+42% AP) 」
「 Magic Damage Over Time: 1.4 / 1.8 / 2.2 / 2.6 / 3 (+1.2 / 1.3 / 1.4 / 1.5 / 1.6% AP) 」「 Maximum Magic Damage Over Time: 14 / 18 / 22 / 26 / 30 (+12 / 13 / 14 / 15 / 16% AP 」

  • Total Maximum Magic Damage: 82 / 109 / 136 / 163 / 190 (+78 / 81 / 84 / 87 / 90% AP
Ability Details
Sine Wave is an area of effect ability.

Additional Information:

  • Missile speed of 400 (yes, 400)


Integral
COST: 40 mana
COOLDOWN: 8 after the end of the ability
ChampionSquare

Active: Mathematician creates a 1200-length line perpendicular to the direction he cast this ability for 5 seconds, which is attached to himself, but always stays the same orientation. All projectiles passing through this line push the section of line they pass through a distance, based on their speed, in the direction they were headed. This persists at his death location if he dies before the ability ends.

When there is only one second left, one side of the line is designated as damaging and the other as healing, based on how many enemies are inside the areas between the initial line and the current line, and it detaches from Mathematician. More enemies means that side becomes damaging. At the end of the 5 seconds, units in the area between the initial line and the current line either take damage or are healed, based on what side they are on.

  • Magic Damage and Heal: 70 / 105 / 140 / 175 / 210 (+10% AP)
Ability Details
Integral is an ability.


Inverse
RANGE: 650
COST: 50 MANA
ChampionSquare

Active: Mathematician places down a 600-length line for 2.5 seconds that makes any enemy damaging projectiles heal for the amount they would have damaged for and makes any healing projectiles deal true damage equal to the amount they would have healed for. Additionally, any healing or damaging done by projectiles passing through the line is amplified and projectiles hit the team they would have hit before being inverted.

  • Effect amplification: 5 / 6.8205 / 8.641 / 10.4615 / 12.282% (+2.718% per 100 AP)
Ability Details
Inverse is an ability.


Standard Deviation
RANGE: 800 / 400
COST: 100 / 80 / 60 mana
COOLDOWN: 120 / 110 / 100
ChampionSquare

Active: Mathematician calculates the average of the maximum healths of all targets in an area and sets the health of all targets hit to an amount relative to the average based on their distance from the center of the area after a 1.5 second warning. This will grant a permanent shield if the amount it is getting set to is larger than the target's maximum health.

Ability Details
Standard Deviation is an ability.

Additional Information:

  • Essentially, people at the (very) center get 40% of the average, and the people at the (very) edge get 0.01% of the average, or 1, whichever is higher.
    • This is not linear, however.
      • For a simple, visual representation of this, see this.


Deg Notes

  • Mathematician, while not an actual name, was formed because I thought of making some math things into abilities. Q came to mind first.
    • At first, it was going to be 100 bolts, but that would have been way too tiny of numbers for my liking.
  • Yes, his passive could just be Fibonacci Sequence, but I felt like educating you a bit. Unless you knew that fun little math fact before hand. Plus it's more fun to have "Golden" Ratio affect gold.

Changelog

V0.1

  • Created

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