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Mon May 03, 2021 14 Projections for 2021 (Part 5)

If you wonder what this is about at all, you probably didn’t read the intro.

May: Canters W09

Canters W09
Creator Frank Canters (2002)
Group Lenticular
Property Compromise
Other Names
  • Wagner IX, Canters Optimization
  • Optimised version of Aitoff-Wagner
Remarks Low Error Optimization of Wagner IX.
Please regard Naming Canters’ Projections. Also see my blogpost about the Canters projections, part 1 (W01 - W14) and part 2 (W15 - W34).

Canters W09 is, like last month’s Frančula XIII, an optimization of the Wagner IX. Both authors claim to have minimized the distortions – so why do they (the projections, not the authors 😉) look different?
Because the Canters and Frančula used different metrics in their optimization: While Canters optimized according to the mean finite scale factor, regarding only the continental areas excluding Antarctica; Frančula utilized the Airy-Kavrayskiy criterion, taking the full map between 85° North and South into account.

Still, I think there’s a certain “family resemblance” – that’s why I mentioned a cousin last month (although mathematically they’re more like brothers):
Canters W09 vs. Frančula XIII
Aesthetically, I prefer Canters W09, while regarding the distribution of distortions I like the Frančula XIII a little better. Summa summarum I can say that I like them equally well.

So by now we’ve had seven projections (including the two shown on the calendar frontispiece) that are quite conventional, i.e. they look very much like a standard world map. It’s about time for an unusual one: We’ll see that next month.

My 2021 Map Projection Calendar

To read another part of my 2021 map projection calendar series, select the desired month.


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