Boxing the compass


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A 16-point compass rose
A 32-point compass rose
A historical compass card

Boxing the compass is the action of naming all thirty-two principal points of the compass in clockwise order. 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 course or azimuth) in a general or colloquial fashion, without having to resort to computing or recalling degrees.

The set of 32 named points can be further divided into a set of 128 named directions using quarter-points,[1] although for communicating heading these fractional points have been superseded by degrees measured clockwise from North.

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[edit] Compass points

A simple algorithm can be used to convert a heading to an approximate compass point:

  1. Divide the heading in degrees by 11.25 (360/32) to get to the case of 32 named points.
  2. Add 1.5 to center the named points in their respective sectors on the circle, since north is 1 in the table instead of 0. If the result is 33 or more, subtract 32 to keep within the 32-point set.
  3. Now look up the integer part of the result in the table below.

For example:

A heading of 75°, divided by 11.25 gives 6.67, added to 1.5 gives 8.17, truncated to give 8. 8 in the table below corresponds to east by north.

# Compass point Abbr. Traditional wind point Heading Heading Range
1 North N Tramontana 0.00° 0.00 - 5.62°
2 North by east NbE
11.25° 5.63 - 16.87°
3 North-northeast NNE
22.50° 16.88 - 28.12°
4 Northeast by north NEbN
33.75° 28.13 - 39.37°
5 Northeast NE Greco or Bora 45.00° 39.38 - 50.62°
6 Northeast by east NEbE
56.25° 50.63 - 61.87°
7 East-northeast ENE
67.50° 61.88 - 73.12°
8 East by north EbN
78.75° 73.13 - 84.37°
9 East E Levante 90.00° 84.38 - 95.62°
10 East by south EbS
101.25° 95.63 - 106.87°
11 East-southeast ESE
112.50° 106.88 - 118.12°
12 Southeast by east SEbE
123.75° 118.13 - 129.37°
13 Southeast SE Sirocco 135.00° 129.38 - 140.62°
14 Southeast by south SEbS
146.25° 140.63 - 151.87°
15 South-southeast SSE
157.50° 151.88 - 163.12°
16 South by east SbE
168.75° 163.13 - 174.37°
17 South S Ostro 180.00° 174.38 - 185.62°
18 South by west SbW
191.25° 185.63 - 196.87°
19 South-southwest SSW
202.50° 196.88 - 208.12°
20 Southwest by south SWbS
213.75° 208.13 - 219.37°
21 Southwest SW Libeccio 225.00° 219.38 - 230.62°
22 Southwest by west SWbW
236.25° 230.63 - 241.87°
23 West-southwest WSW
247.50° 241.88 - 253.12°
24 West by south WbS
258.75° 253.13 - 264.37°
25 West W Poniente or Zephyrus 270.00° 264.38 - 275.62°
26 West by north WbN
281.25° 275.63 - 286.87°
27 West-northwest WNW
292.50° 286.88 - 298.12°
28 Northwest by west NWbW
303.75° 298.13 - 309.37°
29 Northwest NW Mistral 315.00° 309.38 - 320.62°
30 Northwest by north NWbN
326.25° 320.63 - 331.87°
31 North-northwest NNW
337.50° 331.88 - 343.12°
32 North by west NbW
348.75° 343.13 - 354.37°
1 North N Tramontana 360.00° 354.38 - 360.00°

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