Since I personally random clicked for ages and only found 6 of my 7 meepits, and finally got fed up, I developed a very SIMPLE method of mapping modeled after seeing someone else who posted their map several threads back, I don't know who.
EDIT: following something else I found that it was
manatemuse's map that I had seen briefly and modeled mine on.
I apologize for "stealing" it (and thanks for the help) but still, I think others may benefit from an explanation of how it works, because it is much simpler than the other type of map that someone explained, so I thought I'd write one up.
For those who WANT to map, or have been randomclicking for, like, EVER, but aren't sure how to start, here's the easiest thing to do:
First, know that there are always five things in a room. I made mine look like the ones on the page instead of using letters, but for this post, I'm going to use letters. The possible path shapes are Z, S, I, ), and (. Of course, there is also a tree which I copied the smart fellow mentioned above, and marked T.
1. Starting with whatever "room" you are in (i call the screens "rooms"), draw a box, and draw what the paths and trees look like. Name the first room "A."
2. Click on one of the paths, and remember which one it is! I found it was easiest to always click on the left-most path that had not yet been traveled. Now, this first time, you know that the screen that pops up will be new, because you just started doing this. So, you'll make a new box, draw the paths and trees, and name it B - the next letter in the alphabet. Now, go back to the path you just used to get here, and label it B underneath that path, so you know where that path leads.
3. Choose a path in your current screen (in this case, B). If it goes back somewhere you've been before, label the path you just took, and try a new path in your current screen. If it goes somewhere you've never been, draw a new box, name the new box, and label the path you just took.
4. Once you have 3-4 rooms, you will find yourself traveling back to some of the places you've already been. As I mentioned, I found that life was much simpler if I always clicked the leftmost UNTRAVELED path.
So, in the image above, if the left path in box C, the ) shaped path, took me back to room A... I would label it of course! Then obviously I don't need to try out that Z-shaped path that goes to screen B -- I already know where it goes. So instead, I'll try out the S-shaped path next to it. Eventually, you will end up mapping every single path.
Of course, you will probably find all the vines/meepits before you get around to mapping the whole thing.
Helpful Hints: Realize that once you run out of letters, you may want to use numbers, or symbols like *, $, ?, Σ, θ, ψ, ∆ and so on, rather than making a room named AA or BB. This is because unless you have a really BIG piece of paper, the one path that leads to AA could end up looking like two labeled paths that lead to room A, and you might end up skipping some paths that way.
Once you have about half the alphabet mapped, start being very careful when you think you have seen something before. And, to make things faster as you search through your page of boxes, look for something distinctive about the room you've just arrived in: does it have () as the first two paths? are there three trees in that room? Does it end in two trees? At least in the rooms that have Z and S paths, this will make your life SO much easier than comparing the rooms in full.
Also, of course you will need to do something different to mark your "special" rooms -- the rooms with the clearing and the meepit graveyard.
Also, if you get to a room that you've already mapped all the paths for, look at where the paths lead to. Do any of them lead to a room with mystery (unmapped) paths? Head over there and clear up the mysteries!
Ok, well, I hope that's helpful!! Depending on how good your memory is (and how quickly you can scan your existing rooms to compare them), this should take you as little as 15 minutes, and hopefully no more than 30 minutes.