Recompile

The minimal requirements to get this achievement is to have double jump (green portal) and dash (red portal)

Start of the game (Level 1) - 3 memories:
At the start of the level keep heading forward and get your jump ability, look left there's a dialogue node, after collecting the dialogue node, head back and left from where you collected the jump, there are 2 lefts take the first left (not the pipe heading up), activate the elevator down (2 buttons on each side) and go down there's a button here you need to press, head past the generator there will be another elevator down where you can get your deletion ability, head all the way back up the two elevators and go right, there's a broken elevator in the distance and just past it yet another dialogue node. Look at the wall you can climb the wall to bridge the gap. Next head back to where you got your jump ability and take the second left (up the pipe), you can now destroy the bot blocking the way. Just past the bot there's a wall you need to shoot to destroy.
Once you cross the pipe keep heading up the pillar, make sure to look left (into the pillar) as there's an AI to collect. Climb the pillar/tower and eventually you'll be told to cross a bridge, don't it will collapse, opposite of the bridge there's a save point, take it and look look left, there's a pipe and in the distance another dialogue node we need to get, watch out as there's a flying bot on the pipe, once you get to another tower/pillar look for a platform to drop down and keep following the path it'll lead you to your orb.

Level 2 - 3 memories:
As mentioned above, you need to complete the red and green levels first. After you cleared both levels come back to where you first spawned in this level and stand on the save point. Walk about 5 steps forward and look left, there's an orange elevator, only orange shining structure with 2 steps leading up to it. Take it up, go through the broken pipe and head up to a green elevator (you might need to move on it a bit for it to activate) Once all the way up there will be a yellow portal in the distance, get behind it. In the distance there will be a shining star, a sun perhaps or a source of energy, from here you will be able to see the 3 memories you need to get. Look down and there's a platform you need to land on, see the screenshot:



Once on the platform jump on the wall in front of you and the stairs leading up to the star. There are 2 nodes on the main platform, one to the right and one straight ahead. The third one is behind the left inactive teleporter you need to climb to.

Once you collected all of the memories jump off and you will spawn back on the platform you first landed on. Go to the other end of the platform, it's a dead end. Look down and there's a little ledge you can land on. Look down again and there's a blue light coming from the structure, that's where you need to land next to get back into the building.

You have 6 memories in the User Biome.
3 in the Install Room and 3 in Central Exchange.
You can check the locations in the 100% Guide below at 57:24.


Timestamps:

00:00 Intro | Install Room | Installation Wizard Achievement
04:49 TET Biome | Security Systems Online Achievement
12:43 HEX Biome | Data Processing Online Achievement
22:19 OKT Biome | Mission Control Online Achievement
37:02 ICO Biome | Biosphere Online Achievement
41:01 Firewall Achievement
42:13 FTL Achievement
43:30 Admin Access + Godmode Achievements
45:08 Spyware + Vaporware Achievements
45:57 Maleware + Botnet Farmer + Code Jumper Achievements
46:36 TET Memories (12) | Friend Achievement
48:49 HEX Memories (11) | Conspirator Achievement
51:29 OKT Memories (10) | Assistant AChievement
54:16 ICO Memories | Colleague
57:24 User Memories | Eulogist Achievement
59:15 Last Boss | Arachnocide, Singularity, Scorched Earth, Theocratic, Solopsist, Ecocentric Achievements