Which is better to rush on a tank?
Sunfire does a ridiculous amount of damage over time, especially if you complete it early. If you otherwise lack the ability to one-shot minion waves, it makes your waveclear 50x better.
(It's also cheaper to complete than Randuin's.)
(It's also cheaper to complete than Randuin's.)
I can't vote like this. They serve different purposes. If you watch pro games, most top laners get both, but ALWAYS get
Sunfire Aegis first. It is a much better item early-mid game but the damage falls off quite a bit late game, where
Randuin's Omen shines when that high AS/AD carry gets toned down and you can also slow everybody in a teamfight.
Also, for splitpushing
Sunfire Aegis is way better.
There are other cases, like
Dr. Mundo, that use
Sunfire Aegis to the fullest with magic pen and his W.


Also, for splitpushing

There are other cases, like


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