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Guyou vs. Markley’s Tetrahedral Map

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Projection No. 1:

Projection No. 2:

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  Guyou Markley’s Tetrahedral Map
Creator Emile Guyou (1887) F. Landis Markley, L.P. Lee (1982 / 1965)
Group Polyhedral Polyhedral
Property Conformal Conformal
Other Names
Remarks In the image, the projection is centered on 20° West in order to keep the landmasses away from the areas of greatest distortion (where conformality fails). A special arrangement of Lee’s Conformal Tetrahedral Projection. See my blogpost Lee, Markley, CALM & Grieger.
recommended comparisons Markley’s Tetrahedral Map Guyou
This pairing is among the list of recommended pairings – but why?
Both show a conformal world map, arranged in a rectangle. Markley’s map was designed as an alternative to Guyou’s.
Remark: On these two projections, »scaled to fit« and »scaled to same width« will be quite identical!

1. Comparison: Physical Map – scaled to fit

Guyou
Guyou
Markley’s Tetrahedral Map
Markley’s Tetrahedral Map

2. Comparison: Political Map – scaled to fit

Guyou
Guyou
Markley’s Tetrahedral Map
Markley’s Tetrahedral Map

3. Comparison: Silhouette Map – scaled to fit

Click on projection’s name to hide it
Grey areas: Superimposition of projections
Guyou Silhouette Map
Markley’s Tetrahedral Map Silhouette Map

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

Guyou
Guyou Tissot Indicatrix
Markley’s Tetrahedral Map
Markley’s Tetrahedral Map Tissot Indicatrix

5. Comparison: Physical Map – scaled to same width

Guyou
Guyou
Markley’s Tetrahedral Map
Markley’s Tetrahedral Map

6. Comparison: Political Map – scaled to same width

Guyou
Guyou
Markley’s Tetrahedral Map
Markley’s Tetrahedral Map

7. Comparison: Silhouette Map – scaled to same width

Click on projection’s name to hide it
Grey areas: Superimposition of projections
Guyou Silhouette Map
Markley’s Tetrahedral Map Silhouette Map

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

Guyou
Guyou Tissot Indicatrix
Markley’s Tetrahedral Map
Markley’s Tetrahedral Map Tissot Indicatrix

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

Guyou
Guyou Tissot Indicatrix
Markley’s Tetrahedral Map
Markley’s Tetrahedral Map Tissot Indicatrix

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

Guyou
Guyou Tissot Indicatrix
Markley’s Tetrahedral Map
Markley’s Tetrahedral Map Tissot Indicatrix
 

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