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Cahill Conformal Butterfly vs. Cahill Conformal M-shaped Projection

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Projection No. 2:

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  Cahill Conformal Butterfly Cahill Conformal M-shaped Projection
Creator Bernard J. S. Cahill, Oscar S. Adams (1929 approx.) Bernard J. S. Cahill, Oscar S. Adams (1929 approx.)
Group Polyhedral Polyhedral
Property Conformal Conformal
Other Names — —
Remarks In 1909, Cahill developed his first (compromise) butterfly map. He succeeded in having Oscar S. Adams develop the mathematics for a conformal version, which he published in 1929.
In Cahill’s original arrangement, Africa was placed in the upper left lobe, the map shown here was centered on 20° West.

See Four conformal polyhedric projections and more.
In 1909, Cahill developed his first (compromise) butterfly map. He succeeded in having Oscar S. Adams develop the mathematics for a conformal version, which he published in 1929.
In Cahill’s original arrangement, Africa was placed in the leftmost lobe, the map shown here was centered on 20° West.

As far as I know, there’s no established name for the M-shaped variant shown here. The label Cahill Conformal M-shaped Projection was chosen by me for the use on this website.

See Four conformal polyhedric projections and more.
recommended comparisons Cahill Conformal, M-shaped
Waterman Butterfly
Cahill Conformal Butterfly
This pairing is among the list of recommended pairings – but why?
The M-shaped variant is obtained by a simple re-arrangement of the butterfly map.

1. Comparison: Physical Map – scaled to fit

Cahill Conformal Butterfly
Cahill Conformal Butterfly
Cahill Conformal M-shaped Projection
Cahill Conformal M-shaped Projection

2. Comparison: Silhouette Map – scaled to fit

Click on projection’s name to hide it
Grey areas: Superimposition of projections
Cahill Conformal Butterfly Silhouette Map
Cahill Conformal M-shaped Projection Silhouette Map

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

Cahill Conformal Butterfly
Cahill Conformal Butterfly Tissot Indicatrix
Cahill Conformal M-shaped Projection
Cahill Conformal M-shaped Projection Tissot Indicatrix

4. Comparison: Physical Map – scaled to same width

Cahill Conformal Butterfly
Cahill Conformal Butterfly
Cahill Conformal M-shaped Projection
Cahill Conformal M-shaped Projection

5. Comparison: Silhouette Map – scaled to same width

Click on projection’s name to hide it
Grey areas: Superimposition of projections
Cahill Conformal Butterfly Silhouette Map
Cahill Conformal M-shaped Projection Silhouette Map

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

Cahill Conformal Butterfly
Cahill Conformal Butterfly Tissot Indicatrix
Cahill Conformal M-shaped Projection
Cahill Conformal M-shaped Projection Tissot Indicatrix

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

Cahill Conformal Butterfly
Cahill Conformal Butterfly Tissot Indicatrix
Cahill Conformal M-shaped Projection
Cahill Conformal M-shaped Projection Tissot Indicatrix

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

Cahill Conformal Butterfly
Cahill Conformal Butterfly Tissot Indicatrix
Cahill Conformal M-shaped Projection
Cahill Conformal M-shaped Projection Tissot Indicatrix
 

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