Map projections

Tobias Jung – URL: https://map-projections.net

Comparison: Cahill Conformal Butterfly vs. Waterman Butterfly (alternative arrangement)

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Projection Informations


Creator
Cahill Conformal Butterfly	Bernard J. S. Cahill, Oscar S. Adams (1929 approx.)
Waterman Butterfly (alternative arrangement)	Steve Waterman (1996)
Group
Cahill Conformal Butterfly	Polyhedral
Waterman Butterfly (alternative arrangement)	Polyhedral
Property
Cahill Conformal Butterfly	Conformal
Waterman Butterfly (alternative arrangement)	Compromise
Other Names
Cahill Conformal Butterfly	—
Waterman Butterfly (alternative arrangement)	—
Remarks
Cahill Conformal Butterfly	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.
Waterman Butterfly (alternative arrangement)	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 Butterfly	Cahill Conformal, M-shaped Waterman Butterfly
Waterman Butterfly (alternative arrangement)	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).

	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)

Cahill Conformal Butterfly CC BY-SA

CC BY-SA

Tobias Jung Waterman Butterfly (alternative arrangement) CC BY-SA

CC BY-SA

2. Comparison: Political Map – scaled to fit

Cahill Conformal Butterfly

Cahill Conformal Butterfly

Waterman Butterfly (alternative arrangement)

Waterman Butterfly (alternative arrangement)

Cahill Conformal Butterfly CC BY-SA

CC BY-SA

Tobias Jung Waterman Butterfly (alternative arrangement) CC BY-SA

CC BY-SA

3. 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

Cahill Conformal Butterfly Silhouette Map CC BY-SA

CC BY-SA

Tobias Jung Waterman Butterfly (alternative arrangement) Silhouette Map CC BY-SA

CC BY-SA

4. 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

Cahill Conformal Butterfly Tissot Indicatrix CC BY-SA

CC BY-SA

Tobias Jung Waterman Butterfly (alternative arrangement) Tissot Indicatrix CC BY-SA

CC BY-SA

5. Comparison: Physical Map – scaled to same width

Cahill Conformal Butterfly

Cahill Conformal Butterfly

Waterman Butterfly (alternative arrangement)

Waterman Butterfly (alternative arrangement)

Cahill Conformal Butterfly CC BY-SA

CC BY-SA

Tobias Jung Waterman Butterfly (alternative arrangement) CC BY-SA

CC BY-SA

6. Comparison: Political Map – scaled to same width

Cahill Conformal Butterfly

Cahill Conformal Butterfly

Waterman Butterfly (alternative arrangement)

Waterman Butterfly (alternative arrangement)

Cahill Conformal Butterfly CC BY-SA

CC BY-SA

Tobias Jung Waterman Butterfly (alternative arrangement) CC BY-SA

CC BY-SA

7. 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

Cahill Conformal Butterfly Silhouette Map CC BY-SA

CC BY-SA

Tobias Jung Waterman Butterfly (alternative arrangement) Silhouette Map CC BY-SA

CC BY-SA

8. 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

Cahill Conformal Butterfly Tissot Indicatrix CC BY-SA

CC BY-SA

Tobias Jung Waterman Butterfly (alternative arrangement) Tissot Indicatrix CC BY-SA

CC BY-SA

9. 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

Cahill Conformal Butterfly Tissot Indicatrix CC BY-SA

CC BY-SA

Tobias Jung Waterman Butterfly (alternative arrangement) Tissot Indicatrix CC BY-SA

CC BY-SA

10. 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

Cahill Conformal Butterfly Tissot Indicatrix CC BY-SA

CC BY-SA

Tobias Jung Waterman Butterfly (alternative arrangement) Tissot Indicatrix CC BY-SA

CC BY-SA