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.