Riven Humor Guide by Embracing
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I know I'm probably going to get a lot of downvotes for this, but PLEASE LISTEN
AP Riven is actually VIABLE. Here's how it works:
Broken Wings is on a really short cooldown, so you can constantly proc Lich Bane.
Runic Blade scales well off attack speed, and slightly off CDR since you can spam Broken Wings more, which is an auto-attack reset.
And finally, Blade of the Exile gives you a ton of free AD so that you don't even need to buy AD to do damage! Awesome!
Greater Mark of Attack Damage
Greater Seal of Armor
Greater Glyph of Magic Resist
Greater Quintessence of Attack Damage
Since Riven doesn't do magic damage until she gets items, don't run any magic penetration runes.
Instead, run flat AD so you can be stronger early game and bully around your enemy laner.
Flat Armor is for in case you're against an AD assassin mid, but otherwise it's still good for mitigating auto-attack harass. Riven is prone to this because of her short range.
You can switch out the Quints for Move Speed quints if you think you can abuse your mobility to bully certain lane opponents, like Syndra or Nidalee.
Take hybrid penetration in the offensive tree. Taking Spellsword is a MUST.
Anything else is up to you, really.
Boots of Speed and 4 Health Potions. These let you bully around those noobs who dare fight you in mid lane because you have the mobility advantage.
Doran's Blade is good too, but you're AP Riven and you don't need AD.
Doran's Ring is stupid because Riven has no problems and no ap scaling.
Next, you want to rush a Sheen. It synergizes very well off Broken Wings, and it's good for harass since it basically doubles your AD for one attack.
Your next item is Berserker's Greaves, because it gives Attack Speed and Riven doesn't benefit off Spell Penetration. With increased movespeed and attack speed, you're able to bully the other laner with Runic Blade more easily.
The first big item is Nashor's Tooth. Not only does it give attack speed so you can pull off more Runic Blade procs, BUT the passive that converts 15% of your AP into bonus on-hit damage is OP. I mean, if you do the math, 2000 AP gives you 300 damage! Who needs AD when you can go AP?
Next items: Lich Bane, Zhonya's Hourglass, and Rabadon's Deathcap.
Lich Bane first, because you can constantly proc it with Broken Wings for a lot of damage. Also, with the S3 change, it has a base value, so you don't need to stack 1000000 AP before it starts doing damage.
Zhonya's Hourglass next, because you can Ult > Broken Wings > Ki Blast > Hourglass > Broken Wings > Valor for a super trolly duration of untargetability and mobility against people. Talk about unkillable!
Rabadon's Deathcap is last, so your Lich Bane and Nashor's Tooth procs will start to hurt a lot!
Liandry's Torment - If the other team is stupid and they keep letting you stun their tanks, then buy this so while they're stunned you can shred their health really really fast :D
Twin Shadows - Are people still getting away from you? Then uninstall Have no fear, Twin Shadows makes you a complete chasing monster! The targetted 30% slow + Blade of the Exile + increased attack range makes you literally impossible to escape.
Tear of the Goddess/ Archangel's Staff/ Seraph's Embrace - If there's a lot of burst on the other team, consider buying an early Tear and charging it so that you have an available shield to protect you from burst. Riven also charges it quickly because of the short cooldown of Broken Wings! Riven is also constantly oom so she needs ways to replenish her mana quickly, and Tear does that really well!
Iceborn Gauntlet - I don't like this item, yeah the stats are nice but IMO it's better on tanks and Riven has enough chasing power already. I guess this can replace Lich Bane if the other team is 5 AD.
Guinsoo's Rageblade/ Hextech Gunblade - These aren't good because they're hybrid items, but buy Guinsoos if you want more AS and Gunblade for more chasing power + damage + lifesteal/survivability.
Deathfire Grasp - You don't really do magic damage but the stats are nice. 120 AP is a sizable amount, and CDR to be an annoying stealthing ***** is nice too.
In mid, make sure you're against a champion who
1) Can't gapclose very well,
2) Has a lot of skillshots, or
3) Is controlled by an unskilled summoner (preferably Bronze or unranked)
Riven's main strength is her mobility, so if you're against an Nidalee you can just Valor away from her Spears then counterattack.
If you're against someone with all targetted abilities like Ryze, you're ****ed you might as well bend over and ask your jungler to camp.
Which he won't do, because you're AP Riven.
You want to play passively because you aren't that strong early on, but if you see them commit to CS, Valor towards them, resetting your AA timer, and you're able to get a free hit on them.
At level 6/7, your power spikes tremendously because you have obtained your ultimate. If you see them out of position, you want to Blade of the Exile > Valor > Ki Burst, then keep auto-attacking them while trying to avoid their skillshots, and hopefully you force them out of lane via death or them being low on health.
Late game, remember that you're AP Riven and your only real strength is being annoying with stealth + mobility, slight damage, and carry shredding Runic Blade. Use Ki Burst to peel for your ADC, or you can use it to pin down priority targets to walls and hopefully you can finish them off with your team.
This is just a quick guide on the unconventional. I'm sorry if I didn't go too in-depth with stuff, but I only had about half an hour :/
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(PLS DONT HATE ME TEHASIAN)