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 A single compass point is represented by 360 degrees.

 Each of the four cardinal and four secondary directions occupies an angle of 45 degrees. Thus 45 multiplied by 8 makes 360 degrees. So when we extend the space from any single point occupied by any of the eight directions, the space we will be referring to is that which is contained within a 45-degree angle. You can see this if you consider each of the directions to be like a slice taken from a round pie – therefore, this method of reading the compass and identifying space is called the Pie Chart method. The main directions are north, south, east, and west. The secondary directions are northeast, northwest, southeast, and southwest. Each of these directions occupies an angle of 45 degrees extended out from any single point of reference.

 Each of these 8 directions can be further subdivided into three, so each 45-degree angle can be subdivided into three 15-degree parts. These subdivisions are usually referred to as the mountains and, because there are a total of 24 subdivisions resulting from the 8 directions, there are said to be 24 mountains in the compass. Therefore, the 24 mountains refer to 15-degree subdivisions of the compass.

Take note that while the illustrations in this and all my feng shui books show the direction south at the top of any compass, this does not mean that south is on top when you are taking the directions of your home. You need the compass to find out where the south is in your home. You need the compass to point it out to you! It is the same with all the other directions and sub-directions.