# Naming Canters’ Projections

After reading a bit from Frank Canters’ textbook *Small-scale Map Projection Design*
^{[1]},
I felt compelled to write a few remarks about the naming of the Canters projections.

In 2015, when I was preparing map-projections.net, I used the names that I found at Dr. Böhm’s website
boehmwanderkarten.de/kartographie/is_netze_canters.html
(Canters W12, Canters W13 etc.) because I thought those were established labels for Canters’ projections.
Later I realized that obviously, they were proposals by Dr. Böhm which are used nowhere else.
However they suited me just fine because with long names, I always run into trouble in the thumbnail galleries of projections.

(Yes, I know… *broken as designed…*)

*In this view, I run into problems when projections have long names…*

But now I found out, that Frank Canters does not approve that kind of naming!

He mentions »the bad habit of designating a projection by the name of its author«
^{[2]}
and states:

(…) the name of each projection should reflect the appearance of the graticule. The naming should also be brief, easy to comprehend and unequivocal.^{[3]}

The projection that is called Canters W14 here, was labelled by Canters as
*low-error polyconic projection with twofold symmetry, equally spaced parallels and a correct ratio of the axes*.
That name surely reflects the appearance and is unequivocal. Also, it’s easy to comprehend provided that you’re a bit into map projections.
For laymen however it seems awfully discombobulating, and it definitely isn’t *brief*.

Moreover, names like this might complicate discussion about map projections:

»Do you prefer the low-error polyconic projection with twofold symmetry and equally spaced parallels
or the
low-error polyconic projection with twofold symmetry, equally spaced parallels and a correct ratio of the axes?«
–
»I like both of them equally well but my favorite is the
low-error pseudocylindrical projection with twofold symmetry and a pole length half the length of the equator.«
– »Oh yes, that’s very nice, too, and in my opinion, much more pleasing than the
low-error pseudocylindrical projection with twofold symmetry and a correct ratio of the axes.«

See what I mean?

Granted, throwing in names like W13, W14, W16 and W17 doesn’t make it much easier, and might cause you to stop for a moment
to think whether W13 refers to the low-error polyconic projection with twofold symmetry, equally spaced parallels and
**with** or **without** a correct ratio of the axes.

Be that as it may… my apologies, Mr. Canters!
Until I can think of something better, I’m going to stick to the names that were proposed by Dr. Böhm. For reasons of design (see above).
After all, the original names *are* available in the info panel that is provided for each projection. And in case
you’ve missed that, they are listed right here:

Short Name | Canters’ name | |
---|---|---|

Canters W01 | Optimised version of Wagner I | |

Canters W02 | Optimised version of Wagner II | |

Canters W06 | Optimised version of Wagner VI | |

Canters W07 | Optimised version of Hammer-Wagner (= Wagner VII) | |

Canters W08 | Optimised version of Wagner VIII | |

Canters W09 | Optimised version of Aitoff-Wagner (= Wagner IX.i) | |

Canters W10 | Low-error polyconic projection obtained through non-constrained optimisation | |

Canters W11 | Low-error polyconic projection with straight equator and symmetry about the central meridian | |

Canters W12 | Low-error polyconic projection with twofold symmetry | |

Canters W13 | Low-error polyconic projection with twofold symmetry and equally spaced parallels | |

Canters W14 | Low-error polyconic projection with twofold symmetry, equally spaced parallels and a correct ratio of the axes | |

Canters W15 | Low-error pseudocylindrical projection with twofold symmetry | |

Canters W16 | Low-error pseudocylindrical projection with twofold symmetry and a pole length half the length of the equator | |

Canters W17 | Low-error pseudocylindrical projection with twofold symmetry and a correct ratio of the axes | |

Canters W18 | ||

Canters W19 | Low-error pointed polar pseudocylindrical projection with twofold symmetry and a correct ratio of the axes | |

Canters W20 | Low-error simple oblique polyconic projection with pointed meta-pole and constand scale along the axes | |

Canters W21 | Low-error simple oblique polyconic projection with pointed meta-pole and constand scale along the axes, centered at 45°N, 20°E | |

Canters W23 | Low-error plagal aspect polyconic projection with pointed meta-pole (30°N, 140°W), geographical North Pole at meta-longitude of 30°, and constant scale along the axes. | |

Canters W30 | Low-error equal-area transformation of Hammer-Wagner [Wagner VII] with twofold symmetry and correct ratio of the axes | |

Canters W31 | Low-error equal-area transformation of Hammer-Wagner [Wagner VII] with twofold symmetry and constant scale along the equator | |

Canters W32 | Low-error equal-area transformation of Hammer-Aitoff [Hammer projection] with twofold symmetry and correct ratio of the axes | |

Canters W33 | Low-error equal-area transformation of the sinusoidal projection with twofold symmetry, equally divided, straight parallels and a correct ratio of the axes (not including Antarctica in the optimisation) | |

Canters W34 | Low-error equal-area transformation of the sinusoidal projection with twofold symmetry, equally divided, straight parallels and a correct ratio of the axes (including Antarctica in the optimisation) |

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