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Beesafree

aka Mathew

  • I live in Flint, Michigan
  • I was born on January 3
  • My occupation is an Electrician
  • I am SMELLING LIKE A ROSE THAT SOMEBODY GAVE ME ON MY BIRTHDAY DEATH BED

My contributions

The Recursion Project

Ryze's Recursion with Serpah's and Rabadon's


v9.23

Mana₀ = Starting Mana before recursive calculations
AP₀ = Starting AP before recursive calculations
Arcane_Masteryₙ = 0.05/100 * APₙ₋₁
Manaₙ = Mana₀ * (Arcane_Masteryₙ + 1)
Seraph's_Embraceₙ = Manaₙ * 0.03
Rabadon's_Deathcapₙ = (Seraph's_Embraceₙ + AP₀) * 0.4
APₙ = AP₀ + Rabadon's_Deathcapₙ + Seraph's_Embraceₙ

The 0.05 is the Arcane Mastery multiplier
The 0.03 is the Seraph's Embrace Multiplier
The 0.4 is the Rabadon's Deathcap Multiplier
The + 1 is to turn the bonus into a multiplier

The final number is rounded to the nearest integer, or 4 decimal places in the case of Arcane Mastery, Thus the answers can usually be determined after 5 or 6 iterations.

Formulas to find the Asymptotes for each of these:
End_AP = (0.000021 * End_AP * Starting_Mana) + (0.042 * Starting_Mana) + (1.4 * Starting_AP)
End_Mana = ((0.000021 * End_Mana) + (0.0007 * Starting_AP) + 1) * Starting_Mana
Arcane_Mastery = (0.0005 * (0.042 * End_Mana + 1.4 * Starting_AP))
Rabadon's_Deathcap = (0.012 * End_Mana) + (0.4 * Starting_AP)
Seraph's_Embrace = End_Mana * 0.03

X = Mana
Y = AP
A = Arcane Mastery
R = Rabadon's
S = Seraph's
Subscript 0 = Starting Value (Only applies to Mana and AP)
Subscript n = End Value (Only applies to Mana and AP)

Yₙ = 0.000021YₙX₀ + 0.042X₀ + 1.4Y₀
Xₙ = (0.000021Xₙ + 0.0007Y₀ + 1) * X₀
A = (0.0005 * (0.042Xₙ + 1.4Y₀))
R = 0.012Xₙ + 0.4Y₀
S = Xₙ * 0.03


Here is a better version with no end values on the right hand side of the equals sign:
End_AP = ((0.042 * Starting_Mana) + (1.4 * Starting_AP)) / (1 - (0.000021 * Starting_Mana))
End_Mana = (0.0007 * Starting_AP * Starting_Mana + Starting_Mana) / (1 - 0.000021 * Starting_Mana)
Arcane_Mastery = (Starting_Mana + (100/3) * Starting_AP)/(47619 - Starting_Mana)
Rabadon's_Deathcap = (19047.6 (0.03 * Starting_Mana + Starting_AP))/(47619 - Starting_Mana)
Seraph's_Embrace = (Starting_Mana * (1428.57 + Starting_AP))/(47619 - Starting_Mana)

X = Mana
Y = AP
A = Arcane Mastery
R = Rabadon's
S = Seraph's
Subscript 0 = Starting Value (Only applies to Mana and AP)
Subscript n = End Value (Only applies to Mana and AP)

Yₙ = (0.042X₀ + 1.4Y₀) / (1 - 0.000021X₀)
Xₙ = (0.0007Y₀X₀ + X₀) / (1 - 0.000021X₀)
A = (X₀ + (100/3)Y₀)/(47619 - X₀)
R = (19047.6 (0.03X₀ + Y₀))/(47619 - X₀)
S = (X₀ (1428.57 + Y₀))/(47619 - X₀)

Leona: conditioning, Aftershock, Eclipse


V9.23

W = Base Armor
X = Bonus Armor = Conditioning Flat Armor(9) + Armor from items
Y = Eclipse' Flat Armor (20 / 25 / 30 / 35 / 40)
0.2 = Eclipse' Scaling Armor

Leona's Total Armor: Eclipse, with conditioning = (Y + (X * 0.2) + W) * 1.05
Leona's Total Armor: Eclipse then Aftershock, with conditioning =

  • (Y + (X * 0.2) + W + (35 + Z)) * 1.05
  • Z = (Y + (X * 0.2)) * 0.8)
  • Z <= 115

Leona's Total Armor: Aftershock then Eclipse, with conditioning =

  • (Y + (X * 0.2) + W + (35 + Z) * 1.05
  • Z = (Y * 0.8)
  • Z <= 115

Actually pretty simple, she isn't like rammus there is no percentage recursion.
Aftershock can benefit from eclipse, but eclipse can't benefit from aftershock

Comparisons Between Runes

Coup de Grace vs Cut Down vs Last Stand

v9.23
Coup De Grace is a catch all, can't use the other 2? use this. Can use the other two but want consistent damage not based on your skill or factors out of your control? use this.
Any champion that Cut Down is active on is the strongest. 10% is the required minimum to activate. The lower the lv18 max health, the better. Yuumi (the champion with the lowest health that isn't modified by a spell/innate) with 1637 base HP can have this active against 95% of the roster as long as she doesn't build health items. Unfortunately she doesn't usually go precision.
Last Stand requires a champion that can survive at low health.They do this by either using protective shields, invincibility, range, or sustain. Darius, Mundo, Kayle, Trynd, Karthus, Jayce.

Highest single basic attack S1 TFT

Both players are level 9 with 2 force of natures the enemy has: 3x 3-star elise, 2x 2-star elise, and 2x 1-star elise, the elementalist's golem, and Kennen, Anivia, and brand. and 19 spiderlings from the elise.

you have 2 imperial, 8 Assassin's, and a 3-star Draven Equipped with Youmuu's Ghostblade, Deathblade, and Deathblade. Draven gets the imperial buff, and the assassin's buff via Youmuu's.

For the deathblades, draven has participated in killing 3x 3-star elise, 2x 2-star elise, and 2x 1-star elise, the elementalist's golem, and Kennen, Anivia, and brand. He has also killed 17 spiderlings, saving 1.

so each of the 2 deathblades provide 30 (stats from item) + 420 (28 enemies taken down)

Draven also has spinning blades active.

so, when draven attacks the final spiderling:

((Base AD + Deathblade + Deathblade + Youmuu's) * Imperial * Spinning axe * Crit damage (including assassin buff)) * 100 / (100 + armor) ((252 + 450 + 450 + 30) * 2 * 2 * 2.75) * (100 / (100 + 20)) * 100/(100 + 20)

For a grand total hit of 10835 (crit)

If you give up a deathblade, kill one less spiderling, and count runaan's extra hit as part of the single attack: 11502

Random Formatting/Testing

{{Do for every champion|Current champion data|p1n=datatype|p1v=title|p2n=output|p2v=custom|p3n=append|p3v= 
<br>}}

Yields, but is ignoring append, and prepend - and maybe output?

the Darkin Bladethe Nine-Tailed Foxthe Rogue Assassinthe Minotaurthe Sad Mummythe Cryophoenixthe Dark Childthe Weapon of the Faithfulthe Frost ArcherThe Star Forgerthe Emperor of the Sandsthe Wandering Caretakerthe Great Steam Golemthe Burning Vengeancethe Heart of the Freljordthe Sheriff of Piltoverthe Steel Shadowthe Serpent's Embracethe Terror of the Voidthe Daring Bombardierthe Hand of NoxusScorn of the Moonthe Madman of Zaunthe Glorious Executionerthe Boy Who Shattered Timethe Spider QueenAgony's Embracethe Prodigal Explorerthe Ancient Fearthe Grand Duelistthe Tidal Tricksterthe Colossusthe Saltwater ScourgeThe Might of Demaciathe Missing Linkthe Rabble Rouserthe Outlawthe Shadow of Warthe Revered Inventorthe Kraken Priestessthe Blade Dancerthe Green Fatherthe Storm's Furythe Exemplar of DemaciaGrandmaster at Armsthe Defender of Tomorrowthe Virtuosothe Loose CannonDaughter of the Voidthe Spear of Vengeancethe Enlightened Onethe Deathsingerthe Void Walkerthe Sinister Bladethe Righteousthe Shadow Reaperthe Heart of the Tempestthe VoidreaverThe Eternal Huntersthe Cantankerous Cavalierthe Mouth of the Abyssthe Deceiverthe Blind Monkthe Radiant Dawnthe Ice Witchthe Purifierthe Fae Sorceressthe Lady of LuminosityShard of the Monoliththe Prophet of the Voidthe Twisted Treantthe Wuju Bladesmanthe Bounty Hunterthe Iron Revenantthe Fallenthe Tidecallerthe Curator of the Sandsthe Titan of the Depthsthe Curious Chameleonthe Bestial Huntressthe Eternal Nightmarethe Boy and His Yetithe Berserkerthe Lady of ClockworkThe Fire below the Mountainthe Unbreakable SpearKeeper of the Hammerthe Bloodharbor RipperEmpress of the ElementsDemacia's WingsThe Charmerthe Armordillothe Void Burrowerthe Butcher of the Sandsthe Pridestalkerthe Exilethe Mechanized Menacethe Rune MageFury of the Norththe Redeemerthe Bossthe Demon Jesterthe Eye of Twilightthe Half-Dragonthe Mad ChemistThe Undead Juggernautthe Battle Mistressthe Crystal VanguardMaven of the Stringsthe Starchildthe Noxian Grand Generalthe Unshackledthe Dark Sovereignthe River Kingthe Stoneweaverthe Blade's Shadowthe Shield of Valoranthe Swift Scoutthe Chain Wardenthe Yordle Gunnerthe Troll Kingthe Barbarian Kingthe Card Masterthe Plague Ratthe Spirit Walkerthe Dreadnoughtthe Arrow of Retributionthe Night Hunterthe Tiny Master of Evilthe Eye of the Voidthe Piltover Enforcerthe Machine Heraldthe Crimson Reaperthe Thunder's Roarthe Uncaged Wrath of Zaunthe Monkey Kingthe Rebelthe Magus Ascendantthe Seneschal of Demaciathe UnforgivenShepherd of Soulsthe Magical Catthe Secret Weaponthe Master of Shadowsthe Hexplosives Expertthe Chronokeeperthe Aspect of TwilightRise of the Thorns

Scorn of the Moon

Living Forge &amp; Master Craftsman Masterwork Items Value Difference
Might of the Ruined King item Might of the Ruined King Gold 900
Molten Edge item Molten Edge Gold 1050
Obsidian Cleaver item Obsidian Cleaver Gold 1100
Trinity Fusion item Trinity Fusion Gold 1125.16
Youmuu&#039;s Wraithblade item Youmuu's Wraithblade Gold 735
Luden&#039;s Pulse item Luden's Pulse Gold 1002.5
Rabadon&#039;s Deathcrown item Rabadon's Deathcrown Gold 1196.25
Zhonya&#039;s Paradox item Zhonya's Paradox Gold 843.75
Forgefire Cape item Forgefire Cape Gold 1666.7
Frozen Fist item Frozen Fist Gold 1480
Infernal Mask item Infernal Mask Gold 1876.7
Circlet of the Iron Solari item Circlet of the Iron Solari Gold 570
Salvation item Salvation Gold 816.67
Item Cost Total Amount Availability
Ardent Censer item Ardent Censer Gold 2300 10% - 30% All maps
Guinsoo&#039;s Rageblade item Guinsoo's Rageblade Gold 3100 25% - 73% All maps
Sanguine Blade item Sanguine Blade Gold 3100 20% - 80% All maps
Spear of Shojin item Spear of Shojin Gold 3400 50% Howling Abyss
Active Item CDR
None Ingenious Hunter rune0 Ingenious Hunter rune1 Ingenious Hunter rune2 Ingenious Hunter rune3 Ingenious Hunter rune4 Ingenious Hunter rune5
None 0% 15% 20% 25% 30% 35% 40%
Cosmic Insight rune 5% 20% 25% 30% 35% 40% 45%
Perfect Timing rune 15% 27.75% 32% 36.25% 40.5% 44.75% 49%
Cosmic Insight rune + Perfect Timing rune 19.25% 32% 36.25% 40.5% 44.75% 49% 53.25%
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