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Wagner VII.d vs. Frančula XIV

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Projection Informations

	Wagner VII.d	Frančula XIV
Creator	Karlheinz Wagner (1941)	Nedjeljko Frančula (1971)
Group	Lenticular	Lenticular
Property	Equal-area	Equal-area
Other Names	—	—
Remarks	In 1941, Wagner introduced four variants of the projection that was derived from the azimuthal equal-area projection. The first variant is nowdays known as Wagner VII or Hammer-Wagner. This is one of the other three. As far as I know, there’s no established name for this variant, so I decided to call it Wagner VII.d here.	A Wanger VII variant, derived by Umbeziffern from the equatorial azimuthal equal-area projection, minimized distortion by application of the Airy-Kavrayskiy criterion. For more information, refer to my blogpost The Frančula Projections or Frančula’s original paper Die vorteilhaftesten Abbildungen in der Atlaskartographie (German).
recommended comparisons	—	Wagner VII

1. Comparison: Physical Map – scaled to fit

Wagner VII.d

Wagner VII.d

Frančula XIV

Frančula XIV

Wagner VII.d c Tobias Jung Frančula XIV c Tobias Jung

2. Comparison: Political Map – scaled to fit

Wagner VII.d

Wagner VII.d

Frančula XIV

Frančula XIV

Wagner VII.d c Tobias Jung Frančula XIV c Tobias Jung

3. Comparison: Silhouette Map – scaled to fit

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Grey areas: Superimposition of projections

Wagner VII.d Silhouette Map

Frančula XIV Silhouette Map

Wagner VII.d Silhouette Map c Tobias Jung Frančula XIV Silhouette Map c Tobias Jung

4. Comparison: Tissot Indicatrix, 30° – scaled to fit

Wagner VII.d

Wagner VII.d Tissot Indicatrix

Frančula XIV

Frančula XIV Tissot Indicatrix

Wagner VII.d Tissot Indicatrix c Tobias Jung Frančula XIV Tissot Indicatrix c Tobias Jung

5. Comparison: Physical Map – scaled to same width

Wagner VII.d

Wagner VII.d

Frančula XIV

Frančula XIV

Wagner VII.d c Tobias Jung Frančula XIV c Tobias Jung

6. Comparison: Political Map – scaled to same width

Wagner VII.d

Wagner VII.d

Frančula XIV

Frančula XIV

Wagner VII.d c Tobias Jung Frančula XIV c Tobias Jung

7. Comparison: Silhouette Map – scaled to same width

Click on projection’s name to hide it
Grey areas: Superimposition of projections

Wagner VII.d Silhouette Map

Frančula XIV Silhouette Map

Wagner VII.d Silhouette Map c Tobias Jung Frančula XIV Silhouette Map c Tobias Jung

8. Comparison: Tissot Indicatrix, 30° – scaled to same width

Wagner VII.d

Wagner VII.d Tissot Indicatrix

Frančula XIV

Frančula XIV Tissot Indicatrix

Wagner VII.d Tissot Indicatrix c Tobias Jung Frančula XIV Tissot Indicatrix c Tobias Jung

9. Comparison: Tissot Indicatrix, 15° – scaled to fit

Wagner VII.d

Wagner VII.d Tissot Indicatrix

Frančula XIV

Frančula XIV Tissot Indicatrix

Wagner VII.d Tissot Indicatrix c Tobias Jung Frančula XIV Tissot Indicatrix c Tobias Jung

10. Comparison: Tissot Indicatrix, 15° – scaled to same width

Wagner VII.d

Wagner VII.d Tissot Indicatrix

Frančula XIV

Frančula XIV Tissot Indicatrix

Wagner VII.d Tissot Indicatrix c Tobias Jung Frančula XIV Tissot Indicatrix c Tobias Jung