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Cahill Conformal Butterfly vs. Waterman Butterfly (alternative arrangement)

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Projection No. 1:

Projection No. 2:

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  Cahill Conformal Butterfly Waterman Butterfly (alternative arrangement)
Creator Bernard J. S. Cahill, Oscar S. Adams (1929 approx.) Steve Waterman (1996)
Group Polyhedral Polyhedral
Property Conformal Compromise
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.
Inspired by the butterfly map by Bernard J. S. Cahill (1903).
Usually, the four tips which show Antarctica get cut off to be assembled in an »island« below the butterfly.

More information in my blog.
recommended comparisons Cahill Conformal, M-shaped
Waterman Butterfly
Cahill Conformal Butterfly
Cahill-Keyes
This pairing is among the list of recommended pairings – but why?
Two butterfly projections – one being conformal (Cahill), the other one being a compromise projection (Waterman).

1. Comparison: Physical Map – scaled to fit

Cahill Conformal Butterfly
Cahill Conformal Butterfly
Waterman Butterfly (alternative arrangement)
Waterman Butterfly (alternative arrangement)

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
Waterman Butterfly (alternative arrangement) Silhouette Map

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

Cahill Conformal Butterfly
Cahill Conformal Butterfly Tissot Indicatrix
Waterman Butterfly (alternative arrangement)
Waterman Butterfly (alternative arrangement) Tissot Indicatrix

4. Comparison: Physical Map – scaled to same width

Cahill Conformal Butterfly
Cahill Conformal Butterfly
Waterman Butterfly (alternative arrangement)
Waterman Butterfly (alternative arrangement)

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
Waterman Butterfly (alternative arrangement) Silhouette Map

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

Cahill Conformal Butterfly
Cahill Conformal Butterfly Tissot Indicatrix
Waterman Butterfly (alternative arrangement)
Waterman Butterfly (alternative arrangement) Tissot Indicatrix

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

Cahill Conformal Butterfly
Cahill Conformal Butterfly Tissot Indicatrix
Waterman Butterfly (alternative arrangement)
Waterman Butterfly (alternative arrangement) Tissot Indicatrix

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

Cahill Conformal Butterfly
Cahill Conformal Butterfly Tissot Indicatrix
Waterman Butterfly (alternative arrangement)
Waterman Butterfly (alternative arrangement) Tissot Indicatrix
 

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