Hi! Let me not waste your time and immediately start talking about my idea in the manual.

Start the assembly with the vampire scepter and then switch to hydra
Hydra is a very useful element for both this build and Aatrox. This is the first item you will collect. This gives an excellent AD, Ability Haste, also gives a very important characteristic Vampirism Object allows you to;
1) Push quickly without losing health.
2) Gives you the opportunity to use the rune (overheal), thanks to healing from the wave and your enemy.
The Divine Sunderer is an item that is extremely useful in the current meta. Until 13.17 Aatrox did not need this. The reason for this is a passive bonus that gives magical penetration. The Atrox didn't have magic damage, but now it does, and the item becomes more relevant. Passive and W deal more damage. Which leads to more healing.
The black cleaver has always been a good option for Atrox. This gives useful characteristics and a nice bonus in the form of penetration and additional movement speed. For Atrox, it's more damage and healing. His only problem in 13.17 is that now Atrox's W does not use a passive effect, since it does not cause physical damage. This is the loss of two penetration stacks.
The Sterak sensor is a very useful item that gives Atrox a large amount of AD (at the 18th level), HP, shield and 30% tenacity (which is not enough for the first page rune). It depends on the bonus HP, of which we have a lot.
Spirit Visage - Gives good stats and increases our healing and shields by 25%
Hullbreaker - you can take instead of a black cleaver. Let's Splitpush (Hydra and Divine will help you with this).
We take instead of spirit Visage if the opposing team has a lot of physical damage.
Boots of Swiftness - I don't like to be slow.

I'm pretty bad at math, but I don't know the math league at all. But I will try to explain why it is broken. Imagine that Atrox has less than 30% hp, and he presses ultimate and gives AA to the enemy. What will happen at this moment?
With heals;➕➕➕➕➕➕➕


Extra healings go into;
➕➕


Also at this moment the Sterak's shield starts working;
➕➕


I tried to explain my idea. I'm sure there are people who understand this more than me, so I'll be ready to see your reaction on this in the comments.

This can be used in any match. Atrox heals and deals a lot of damage. I like this build, and I think there will be people who will like it as much as I do. If I need to answer any questions, I will definitely try to answer them, because this is my first guide (and possibly my last).