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Quartic Authalic vs. Sinusoidal

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Projection No. 1:

Projection No. 2:

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  Quartic Authalic Sinusoidal
Creator Karl Siemon (1937) Unknown (about 1570)
Group Pseudocylindric Pseudocylindric
Property Equal-area Equal-area
Other Names
  • Adams Orthembadic
  • Mercator-Sanson
  • Sanson–Flamsteed
  • Mercator Equal-Area
Remarks Independently presented by Oscar Sherman Adams (1945).
recommended comparisons Eckert-Greifendorff
Sinusoidal
Craster’s parabolic
Eckert-Greifendorff
Putnins P6
Quartic Authalic
This pairing is among the list of recommended pairings – but why?
While very much alike at first glance, in direct comparision the differences become quite obvious.
Remark: On these two projections, »scaled to fit« and »scaled to same width« will be quite identical!

1. Comparison: Physical Map – scaled to fit

Quartic Authalic
Quartic Authalic
Sinusoidal
Sinusoidal

2. Comparison: Political Map – scaled to fit

Quartic Authalic
Quartic Authalic
Sinusoidal
Sinusoidal

3. Comparison: Silhouette Map – scaled to fit

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Grey areas: Superimposition of projections
Quartic Authalic Silhouette Map
Sinusoidal Silhouette Map

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

Quartic Authalic
Quartic Authalic Tissot Indicatrix
Sinusoidal
Sinusoidal Tissot Indicatrix

5. Comparison: Physical Map – scaled to same width

Quartic Authalic
Quartic Authalic
Sinusoidal
Sinusoidal

6. Comparison: Political Map – scaled to same width

Quartic Authalic
Quartic Authalic
Sinusoidal
Sinusoidal

7. Comparison: Silhouette Map – scaled to same width

Click on projection’s name to hide it
Grey areas: Superimposition of projections
Quartic Authalic Silhouette Map
Sinusoidal Silhouette Map

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

Quartic Authalic
Quartic Authalic Tissot Indicatrix
Sinusoidal
Sinusoidal Tissot Indicatrix

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

Quartic Authalic
Quartic Authalic Tissot Indicatrix
Sinusoidal
Sinusoidal Tissot Indicatrix

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

Quartic Authalic
Quartic Authalic Tissot Indicatrix
Sinusoidal
Sinusoidal Tissot Indicatrix
 

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