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Amumu Build Guide by sneakysponge
Everyday I'm Junglin
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Greater Mark of Magic Penetration
Want Damage? Magic Pen is the way to go. Plus there aren't better marks for amumu.
Greater Seal of Defense
Don't want to die? Here is some more armor
Greater Glyph of Scaling Magic Resist
Tanky runes help you be tanky, per level is the best for Amumu
Now for Quintessences it is your choice, I personally like movement speed, but if you want health or armor it is up to you. Amumu is a generally slow champion, and this helps him out a bit, especially when you are slowing enemies with your Rylai's Crystal Scepter.
I take Tough Skin and Bladed Armor to make my jungle faster, also after golems I have more health so I have the option to gank.
The key 3 items on Amumu are Sunfire Aegis Rylai's Crystal Scepter and Abyssal Mask. If you don't have these on Amumu, you
Usually if it is really late game, I either get Thornmail Rabadon's Deathcap or Force of Nature. If you get a deathcap your AP goes up quite a bit, with an Elixir of Brilliance it goes to 429. Pretty decent amount for a tank. With 429 AP your ult does an incredible 779 damage to EVERYONE, excluding magic resist. If you bandage toss a squishy that does 749 damage, that is 1528 damage to their squishy before the fight even starts. Of course it is less because this is not including magic resist, but still, it is a lot of damage to a squishy.
Always start of with Despair, provides a constant amount of damage, and since you have no cooldown reduction yet, Tantrum isn't that great. No matter what, get Bandage Toss at level 3, you always want the option to gank if you need to, even though I usually don't, a lane might need one. Trust me, that minimal amount of extra damage on despair or tantrum, is not better than a stun. After that I trade off between tantrum and despair to provide a constant amount of damage. Of course get the ult whenever possible. The reason I don't level up bandage toss first is because it is on an extremely long cooldown at low levels. If you level up bandage toss and miss, you are going to do very minimal damage to the enemy with your low levels of despair and tantrum.
If you follow my guide and have a few screenshots, feel free to send them to me so I can show you off.