The history of the Far Lands in Java Edition can be split into three main sections:
Types of Far Lands
Noise generator overflows
Low noise and high noise overflows
Depth noise overflows
Selector noise overflows
Biome fill noise overflows
Sand/gravel noise overflows
Old heightmap noise overflows
Island carver noise overflows
Combination types
Facial / "Edge" / "The Loop"
The most commonly depicted form, this is the result of an overflow on only one axis. On a 2D plane, there are four different overflows possible, corresponding to the four edges of a square. In 3D space, there are six different overflows possible, corresponding to the faces of a cube.
Edge / "Corner" / "The Stack"
These are the result of an overflow on two axes. On a 2D plane, four cases of this are possible, corresponding to the vertices of a square. In 3D space, there are twelve such possible intersections, corresponding to the edges of a cube.
Vertex / "The Abyss"
A rarely encountered type, this can only be encountered with three axes overflowing at once, which is effectively impossible in any version without mods. There are eight possible regions for this case, corresponding to the vertices of a cube.