"Z" place a dot
"X" punish Blocks a way
"arrow key" and "WASD" move

You start with 4 blocks.
In the starting area there is 5 more Blocks before getting the 3rd dot upgrade.
And 5 more Blocks after.
Their is a thing in the large room you start in that take the Blocks (It has 24 slots) as far as I can tell it appears at the same time as the text.

You can get out of the staring area in the room past the door that needs three dots.
Moving east 1 there is a L shape obstruction.
Moving east 17 and north 11 there is a shop with sliding bar of icons that look like ix's art (just follow the path) and use doorways) I could not work anything else out.
Moving east 2 and south 14 there is a Block. I don't if you can get back into the starting area.
Around  the north west (above the large room) their are more obstructions. I could not find anything else.
Moving for around 10 minutes north, east, west and, south* (*: I have not tested) you will end up in space, their is a star puzzle that I think could be solved with a 4th dot.

I not too smart so hopeful this help someone else and also not against the spirit of things.

Well, you got farther than I did.  (I didn't find the E2S14 block.)  After I left the...let's say shop...I wandered around and couldn't even find my way back to anything.  There's a whole lot of empty space out there and not a whole lot of landmarks.  Or map.

I did find that if you press "1" you get a yellow box around...you and your blocks, I think?  I literally can't tell if it's important or debugging.

There's a large grey structure that resembles one of the "circuits" you put "dots" in to open doors in the starting rooms. You reach it by going directly to the west of the first large room.

 Putting dots into it doesn't seem to do anything, but if you go directly south from that structure you eventually reach what ive referred to as the "spaghetti structure"
there's another block there.

Additionally, if you position yourself at the upper left corner outside of the starting room, and travel north, you eventually reach another set of rooms almost similar to the ones you start in. I couldnt find a way inside of it, and there doesnt seem to be any circuits to open doors with...
Something noteworthy is that inside of the rooms you can see one of the weird ripply things that gives you an extra dot (like the one at the start needed to exit the starting area)

If it's possible to collect that, then it would be possible to fill in the constellation in the space area.

This is a very, very intriguing game

Two more things I found (spoilers! consider reading only the first bullet point!):

• Re: the gray structure that resembles one of the "circuits" you put "dots" in to open doors, it's too big to put dots in in-place. But you could draw a smaller version...

• The resulting mechanic is the second such mechanic you've discovered.

Didn't go far enough into space to find the constellation. This is interesting but I'm also getting lost a lot

Some not yet mentioned mechanics:

• Draw that circuit and then hold a direction to travel much faster.
• The tiny indicator around you points to the most recently placed dot.

A ha. Figured it out and beat it. This was a fun little esoteric game, ix, thank you for making it! Spoilers for the whole game follow.

The game is teaching you how to play it, but it's subtle. In the starting area, the "dots" let you move through doors when placed in the "locks", which have faded lines connecting them to show you they're connected. But then you get the third dot, and eventually find yourself in a room with a pattern with solid lines, not faded ones. Draw the pattern with your dots, and a circle appears which opens the wall. That pattern isn't a "lock" opening a door, it's more like a "spell". You can make that pattern anywhere, and the circle it makes can open any 1-block wide wall. We'll call this first spell "key". Key is omnidirectional; it functions when drawn in any configuration.

Once outside the starting area, head west to find the aforementioned large spell pattern which spans multiple screens as mentioned by @glub . Draw this spell anywhere, which we'll call "boost", and it turns yellow. Then press and hold a single direction to move quickly until you let go, as mentioned by @ud2. It's worth noting if you boost while carrying a block more than a couple screens, they get really buggy and take a while to pathfind back to you, even if you stand right on them.

The room you're naturally led to (@harm_less called it a shop, but I think it's more like an art gallery) has one picture which teaches you a spell. It pulls up a radar, which points both home and to the remainder of the blocks. The game is a cinch to beat from here.

You can get the fourth dot in the rooms mentioned by @glub (there's no block there, so the radar doesn't point to it). The wall is too thick, but there is a single bit of exposed 1-block wide wall if you hunt around a bit. This lets you solve the constellation, which is of course a spell pattern which pulls up a HUD. Each block on its grid represents a screen in the game. Use the arrow keys (not WASD) to move around, and press space to fast-travel to that location. There's an indicator (a little stick) that points home, and all the blocks and home appear visually on the HUD. Blocks do not fast travel with you, they get left behind.

There's probably a bit more to discover in the game, there is a whole lot of text everywhere that could definitely be deciphered.