A 16-point compass rose

An hypothetical 32-point compass rose

An historic compass card

Such names, formed by the initials of the cardinal directions and their intermediate ordinal directions, are accepted internationally, even though they have their origin in the English language, and are very handy to refer to a heading (or a course) in a general or colloquial fashion, without having to resort to computing or recalling angle numbers. Despite the name of the 1959 Alfred Hitchcock movie, North by Northwest, there is no such direction. However, old-timers allow three letter directions to have a 'by' inserted beween the first and second letter. Hence, NNW becomes North by Northwest, per Hitchcock's title.

The set of 32 named points can be further extended to a set of 128 named points using fractions http://www.gwpda.org/naval/boxco000.htm, although these fractional points are nearly unheard of.

A simple algorithm can be used to convert a heading to an approximate cardinal direction:

1. Divide the heading in degrees by 360 to get the fraction around the circle.
2. Multiply the result by 32, in the case of 32 named points.
3. Add 0.5 to center the named points in their respective sectors on the circle.
4. Since the 32-point set is used, look up the integer part of the result in the table below after adding 1, since north corresponds to 1 in the table below instead of 0.

For example:

A heading of 75°, divided by 45 gives 1.67, multiplied by 4 gives 6.67, added to 0.5 gives 7.17. 8 in the table below corresponds to east by north.

Compass points

See also

• Heading (disambiguation)
• Course (navigation)
• Bearing (navigation)
• Navigation
• Cardinal direction
• Ordinal direction
• Compass rose
• Wind rose

External links

• Wind Rose ? discusses the origins of the names for compass directions.

da:Kompasretning id:Boxing the compass