Let me just link your old first post here for reference
I’m curious too, if you could link the video or tutorial which inspired you.
It seems to me that you encountered two inspiration for the opening.
The first one that you call “the snake” but that we call more usually “the great wall” is to cut the board in half. Like this:
This is considered as a not so good strategy. Here you rely on fighting with your strength coming from your line to make troubles and get back some territories. It’s a very special strategy which may work for good fighters but let’s be clear that this not a normal strategy.
The fact is that in go, at the reverse of other board games like chess the center is less important as the edges. So the usual way is to start from the corners.
That is maybe linked with what you call “wedges”.
There is the idea to control an area with stones. Imagine that your stones are working together or working with edge. You cannot just place one at the contact of the one before, that’s often too slow. You have to build some frames, limiting the possibilities of your opponent between your stones. You ll put doors and windows later. So you will leave some empty space between your stone and the edge. (The 2 edges in the corner)
So at the beginning:
Leaving no space is nosense=playing on the first line
Leaving one space is better but too restrained, you only control a one space area=playing on the second line
Leaving two space is interesting. It’s solid, it’s pretty hard for your opponent to come between. It’s called "the line of the territory (the third)
Leaving three is even bigger but less solid. This time your opponent has more easiness to play between but if so you can let him steal your territory and get in exchange influence on the outside. So you guess we call it “the line of influence” (the fourth)
So what I recommend is: play the corners then the edges then the center. Try to make some balance alternating between third and fourth lines.
Play the corners is more as putting 1 stone in an empty one. It’s adding one more to enlarge it (called shimari) or approaching a stone of your opponent occupying a corner already (called kakari). It’s even more and may include subsequent moves leading both players to take some territories or influence around the corner. These sequences when locally perfectly played are called joseki. It’s bit like if you have a chess opening in each corner (with encyclopedia to study if you like it) and then you ll have to make your choices to make them work well together, including moves on the edges (no encyclopedia for that besides a few popular ways to proceed, you have instead to master some fondamentals).
I hope this could help. But remember the most important above all said and the most easy to forget: each stone you put should be the biggest to play on the whole board!