Note: Spoilers follow, obviously.
You’ve been warned.
I played it through in New Game+, which is why I have extra abilities.

But it still shows you exactly how to do everything in the Vault.
This is the central mechanic of the entire vault.
you could’t go down there, so you’ll have to pull the ball around using Herakles’s Strength.

Shoot the seed with a flaming arrow to burn away the poisonous air.
Pull the ball up the ramp and into the socket to pop kick open the door .
Don’t worry about taking some damage here, you might heal right back up.
Behind the door is the next seed to be burned.

Shoot the seed with a flaming arrow to burn away the poisonous air.
Fire an arrow through the torch into the seed to flush the air.
Then go into the room with the seed and kick off the chest there.
From here you might Apollo’s Arrow through the same torch as before to burn this seed away.

Use Herakles’s Strength to roll the ball into the socket up the ramp.
Left Path
Head up to where the seed was and take the left path.
Jump over to the large doors and use the lever to open them.
Burn the seed away, and you’ve got the option to progress.

The left path takes you through two arenas with enemies to slay and seeds to burn.
Right Path
Head up to where the seed was and take the right path.
A flaming ball will spawn, which it’s possible for you to pull around from the top.
Pull it into the seed to burn it away, and then place the ball in its socket.

The right path requires you to complete another rolling ball labyrinth puzzle to progress.
If a ball isn’t burning you’ll have to pull it into a brazier to light it.
From this plate, shoot an arrow through the flames into the next seed.
To your immediate left after entering through the main doorway, there’s a seed.

The final puzzle area requires you to burn away seeds and roll balls into sockets in order to remove all of the forcefields.
Roll that ball over to the socket to the right of the main entrance.
Look back at the torch.
Just beyond it is a patterned brown wall, and behind it is another seed.

There’s a hidden chest at the end of the final puzzle area. Don’t miss it!
Burn it away with a flaming arrow, then hop up over to the next torch.
Use this torch to burn away the three remaining seeds in this area.
Now head back to that patterned brown wall that hid the seed.

At the top of the Vault, you’ll face a boss known as Ozomene the Hurricane: a giant winged harpy.
Place it in the socket behind the red forcefield.
Doing this will unlock the final button/ball/socket bit of this area.
Move the ball carefully down the way you came, and into the socket behind the final red forcefield.
With the forcefield gone, step through and onto the circular plate.
At the top of the stairs is a final circular plate.
Use arrows and molten rocks until she reaches the stage where she summons smaller harpies and becomes invulnerable.
This part’s great, because killing the harpies will stun Ozomene, allowing you to whale on her.
If you’ve unlocked Hephaistos’s Hammer, use it with gusto, as it deals massive damage.
If not, just keep hitting her.
Eventually she’ll die.
There you have it!
That’s how to recover Aphrodite’s Essence from the Vault of Aphrodite in Immortals Fenyx Rising.