Yes, but the Tobler-Mercator at least served a purpose as a didactic device. What purpose does the Foucaut projection serve? It doesn't seem as obviously useful as a didactic device as the Tobler-Mercator.mapnerd2022 wrote: ↑Fri Feb 03, 2023 11:21 am To me, the Foucault Stereographic Equivalent looks like an even worse Sinusoidal. And the Tobler-Mercator much much worse.
Which projections you favor?
Re: Which projections you favor?
Re: Which projections you favor?
Continuing the theme of announcing optimized standard parallels for cylindrical projections whenever I have the time and inclination to do some maths, if you quantify angular distortion as the absolute value of the logarithm of a/b rather than as the square of the logarithm of a/b, then I get an optimized standard parallel for both the equirectangular and cylindrical equal-area projections of exactly 30°.
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mapnerd2022
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Re: Which projections you favor?
Maybe the Foucault Stereographic Equivalent is meant for decorative purposes?PeteD wrote: ↑Wed Feb 08, 2023 5:57 amYes, but the Tobler-Mercator at least served a purpose as a didactic device. What purpose does the Foucaut projection serve? It doesn't seem as obviously useful as a didactic device as the Tobler-Mercator.mapnerd2022 wrote: ↑Fri Feb 03, 2023 11:21 am To me, the Foucault Stereographic Equivalent looks like an even worse Sinusoidal. And the Tobler-Mercator much much worse.
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mapnerd2022
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Re: Which projections you favor?
Well, anyway, at least the Foucault Equal Area looks better and is indeed good for world maps.
Re: Which projections you favor?
It looks extremely similar to the Mollweide projection (especially the Bromley scaling). I find a projection that's almost-but-not-exactly elliptical to be less elegant than just making it properly elliptical, although I suppose that when comparing the pictures Foucaut actually does seem to have slightly less distortion at the extremes...mapnerd2022 wrote: ↑Wed Feb 08, 2023 7:19 amWell, anyway, at least the Foucault Equal Area looks better and is indeed good for world maps.
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mapnerd2022
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Re: Which projections you favor?
Actually, I prefer the Bromley scaling over Mollweide's original, since the Bromley doesn't have skinny tropical regions.
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mapnerd2022
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Re: Which projections you favor?
And I like the Hammer even more so.
Last edited by mapnerd2022 on Wed Feb 08, 2023 9:15 am, edited 1 time in total.
Re: Which projections you favor?
Interestingly, the d3 implementation has a different aspect ratio and doesn't look so much like the Bromley projection:
- Foucaut equal-area.png (439.76 KiB) Viewed 1213 times
Re: Which projections you favor?
... and also for the cylindrical stereographic projection.PeteD wrote: ↑Wed Feb 08, 2023 6:03 am Continuing the theme of announcing optimized standard parallels for cylindrical projections whenever I have the time and inclination to do some maths, if you quantify angular distortion as the absolute value of the logarithm of a/b rather than as the square of the logarithm of a/b, then I get an optimized standard parallel for both the equirectangular and cylindrical equal-area projections of exactly 30°.
Re: Which projections you favor?
... and also for the cylindrical stereographic projection.PeteD wrote: ↑Wed Feb 08, 2023 6:03 am Continuing the theme of announcing optimized standard parallels for cylindrical projections whenever I have the time and inclination to do some maths, if you quantify angular distortion as the absolute value of the logarithm of a/b rather than as the square of the logarithm of a/b, then I get an optimized standard parallel for both the equirectangular and cylindrical equal-area projections of exactly 30°.