Below you can see the end of a game (that I made up) where you can practice counting the score (Japanese rules):
In the middle I did the counting for you, which is trivial: There are 12 free intersections fully surrounded by black. Hence, black gets 12 points for this territory at the end of the game.
We also have four corners. A triangle-corner, a square-corner, an X-corner and a circle-corner.
Now the questions for you @dokbohm are:
- How many points does black and white get for each corner?
- Why?