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Winkel-Denner III (40°) vs. Winkel Tripel Bartholomew
Winkel-Denner III (40°) | Winkel Tripel Bartholomew | |
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Creator | Peter Denner (2023) | Oswald Winkel (1921) |
Group | Lenticular | Lenticular |
Property | Compromise | Compromise |
Other Names |
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Remarks | Arithmetic mean of the equirectangular (with φ0 = 40°) and Aitoff projections for the x values, and using the Aitoff projection (without averaging) for the y values. Originally presented in a thread in the mapthematics forum. Also see the blogpost The Winkel-Denner Projections. |
This version was designed by John Bartholomew (about 1955), it uses 40° North and South as standard parallels instead of 50°28´ in Winkel’s original design. |
recommended comparisons | — | Winkel Tripel BOPC Winkel Tripel |
1. Comparison: Physical Map – scaled to fit
2. Comparison: Political Map – scaled to fit
Winkel-Denner III (40°)

Winkel Tripel Bartholomew

3. Comparison: Silhouette Map – scaled to fit


Winkel-Denner III (40°) Silhouette Map c Tobias Jung
Winkel Tripel Bartholomew Silhouette Map c Tobias Jung
4. Comparison: Tissot Indicatrix, 30° – scaled to fit
Winkel-Denner III (40°)

Winkel Tripel Bartholomew

Winkel-Denner III (40°) Tissot Indicatrix c Tobias Jung
Winkel Tripel Bartholomew Tissot Indicatrix c Tobias Jung
5. Comparison: Physical Map – scaled to same width
Winkel-Denner III (40°)

Winkel Tripel Bartholomew

6. Comparison: Political Map – scaled to same width
Winkel-Denner III (40°)

Winkel Tripel Bartholomew

7. Comparison: Silhouette Map – scaled to same width


Winkel-Denner III (40°) Silhouette Map c Tobias Jung
Winkel Tripel Bartholomew Silhouette Map c Tobias Jung
8. Comparison: Tissot Indicatrix, 30° – scaled to same width
Winkel-Denner III (40°)

Winkel Tripel Bartholomew

Winkel-Denner III (40°) Tissot Indicatrix c Tobias Jung
Winkel Tripel Bartholomew Tissot Indicatrix c Tobias Jung
9. Comparison: Tissot Indicatrix, 15° – scaled to fit
Winkel-Denner III (40°)

Winkel Tripel Bartholomew

Winkel-Denner III (40°) Tissot Indicatrix c Tobias Jung
Winkel Tripel Bartholomew Tissot Indicatrix c Tobias Jung
10. Comparison: Tissot Indicatrix, 15° – scaled to same width
Winkel-Denner III (40°)

Winkel Tripel Bartholomew

Winkel-Denner III (40°) Tissot Indicatrix c Tobias Jung
Winkel Tripel Bartholomew Tissot Indicatrix c Tobias Jung