Directory of Map Projections
Cylindric- БСАМ
- Карченко-Шабанова
- Урмаева III
- цилиндрическая Павлова
- Braun cylindric
- BSAM
- Cassini
- Cassini-Soldner
- central cylindric
- cylindric equal-area
- Balthasart
- Behrmann equal-area
- Craster rectangular equal-area
- cylindric equal-area
- Gall orthographic
- Gall-Peters
- Hobo-Dyer
- Lambert equal-area cylindric
- Peters
- Smyth equal-surface
- Tobler world in a square
- Trystan Edwards
- equidistant cylindric
- equirectangular
- Gall isographic
- Gall stereographic
- geographic projection
- Karchenko-Shabanova
- la carte parallélogrammatique
- lat⁄lon
- Marinus
- Mercator
- complex latitude plane
- ellipsoidal Mercator
- ellipsoidal oblique Mercator
- ellipsoidal transverse Mercator
- Gauss conformal
- Gauss Hannover
- Gauss-Krüger
- Gauss-Schreiber
- Hotine
- Mercator
- oblique cylindric orthomorphic
- rectified skew orthomorphic
- Thompson transverse Mercator
- transverse cylindric orthomorphic
- Universal Transverse Mercator
- UTM
- Wallis 1 transverse Mercator
- Wallis 2 transverse Mercator
- Web maps Mercator
- Wright
- Miller cylindric
- Patterson
- Pavlov cylindric
- perspective cylindric
- plane chart
- plate carrée
- rectangular
- simple cylindric
- simple perspective cylindric
- transverse plate carrée
- Urmayev III
Pseudocylindric- Apian II
- Apianus II
- Atlantis
- Babinet
- Boggs eumorphic
- Bomford modified Gall
- Bromley
- Cabot
- Collignon
- Craster parabolic
- Eckert
- elliptical
- Equal Earth
- equal-area polynomial
- Foucaut
- Fournier II
- Gall-Bomford
- Goode homolosine
- Hölzel
- Hatano asymmetric
- HEALPix
- homalographic
- homolographic
- homolosine
- Hufnagel I
- Hufnagel
- Hufnagel
- Hufnagel II
- Hufnagel III
- Hufnagel IV
- Hufnagel IX
- Hufnagel V
- Hufnagel VII
- Hufnagel X
- Hufnagel XI
- Hufnagel XII
- hyperelliptical
- Kavrayskiy
- loximuthal
- McBryde S3
- McBryde-Thomas
- III
- IV
- McBryde-Thomas flat-pole parabolic
- McBryde-Thomas flat-pole quartic
- McBryde-Thomas flat-pole sinusoidal
- McBryde-Thomas I
- McBryde-Thomas II
- V
- Mercator equal-area
- Mollweide
- Natural Earth
- Nell
- Nell-Hammer
- orthophanic
- Philbrick Sinu-Mollweide
- Putniṇš P4
- Putniṇš
- Putniṇš P1
- Putniṇš P1´
- Putniṇš P2
- Putniṇš P3
- Putniṇš P3´
- Putniṇš P4´
- Putniṇš P5
- Putniṇš P5´
- Putniṇš P6
- Putniṇš P6´
- quartic authalic
- Robinson
- Sanson-Flamsteed
- simple equal-area homotopy
- sinucyli
- sinusoidal
- Snyder minimum-error
- The Times
- Tobler-Mercator
- trapezoidal
- Urmayev
- Wagner
- Winkel
Conic- Albers equal-area conic
- Albers-Bonne homotopy
- Albers-Lambert homotopy
- American polyconic
- amulet
- bipolar oblique conic conformal
- Bonne
- Boole
- Bottomley
- Braun stereographic conic
- conical orthomorphic
- dépôt de la guerre
- ellipsoidal Lambert conformal conic
- equal-area pseudoconic
- equidistant conic
- Gauss conformal conic
- globe gores
- Harding
- heart
- Herschel conformal conic
- isoperimetric cordiform
- Lambert conformal conic
- Lambert equal-area conic
- modified Flamsteed
- optimized Albers
- ordinary polyconic
- périgonale equal-area conic
- perspective conic
- polyconic
- Ptolemy
- rectangular polyconic
- shield
- simple conic
- Stab-Werner
- Tissot equal-area conic
- War Office
- Werner
Azimuthal- Airy
- azimuthal equidistant
- azimuthal extruded globe
- Berghaus star
- Breusing
- Canters EU
- Chamberlin trimetric
- Close
- doubly azimuthal
- doubly equidistant
- fisheye
- Immler
- isoperimetric pseudoazimuthal
- Lambert azimuthal equal-area
- Lorgna
- McCaw
- Miller oblated stereographic
- orthodromic
- perspective
- AMS lunar
- analemma
- central
- Clarke twilight
- far-side perspective
- Fischer far-side perspective
- gnomic
- gnomonic
- Gretschel
- horologium
- James far-side perspective
- Lowry
- orthographic
- planisphærium
- stereographic
- tilted perspective
- vertical perspective
- Postel
- quasiazimuthal equal-area apple
- quasiazimuthal equal-area polygon
- regular star
- retroazimuthal
- Craig retroazimuthal
- Hammer retroazimuthal back hemisphere
- Hammer retroazimuthal front hemisphere
- Littrow
- Mecca
- Weir azimuthal
- two-point azimuthal
- two-point equidistant
- Wiechel
- zenithal equal-area
- zenithal equidistant
- zenithal equivalent
Lenticular- A4
- Aitoff
- Briesemeister
- Dietrich-Hammer homotopy
- Dietrich-Kitada
- Eckert-Greifendorff
- Ginzburg
- Gott equal-area elliptical
- Gott-Mugnolo equal-area elliptical
- Hammer
- Hammer-Aitoff
- hamusoidal
- kiss
- Strebe
- Strebe 1995
- Strebe asymmetric
- Strebe equal-areas
- cartouche
- Strebe-Hammer
- Strebe-Kavrayskiy V
- Strebe-Mollweide
- Strebe-sinusoidal
- Strebe-Snyder flat-pole
- Strebe-Snyder pointed-pole
- Wagner
- Winkel tripel
Miscellaneous- ЦНИИГАиК
- ابوریحان بیرونی
- Adams
- Adams hemisphere in a square
- Adams world in a hexagon
- Adams world in a square I
- Adams world in a square II
- Al-Bīrūnī
- Apian globular I
- Apian globular II
- Apianus globular I
- Apianus globular II
- armadillo
- Arrowsmith globular
- August
- August epicycloidal
- Bacon globular
- Cahill conformal butterfly
- Cahill-Concialdi bat
- chaise lounge conformal
- conformal world in an ellipse
- Cox world in a triangle
- Denoyer semi-elliptical
- dymaxion-like conformal
- Eisenlohr
- Fournier globular I
- Gilbert two-world perspective
- Ginzburg VIII
- Glareanus globular
- great circle equal-area tetrahedron
- GS50
- Guyou
- Lagrange
- Larrivée
- lateral equidistant
- Loritz globular
- masque
- Nicolosi globular
- oblated Lagrange
- Ortelius oval
- Peirce quincuncial
- polyhedron conformal face
- pseudorthographic
- quincuncial
- Raisz
- small circle equal-area tetrahedron
- Snyder equal-area tetrahedron
- tri-optimal
- TsNIIGAiK
- van der Grinten
- apple shaped
- van der Grinten
- van der Grinten I
- van der Grinten II
- van der Grinten III
- van der Grinten IV
- van Leeuwen
Cahill-Concialdi bat
Description
World projected conformally onto a variation of Cahill’s butterfly arrangement.
Classifications
polyhedral
conformal
Graticule
Meridians: Complex curves except for the edges and central meridian of each facet.
Parallels: Complex curves except for straight edge at base of each facet.
Distortion
No distortion at the centroid of each face. Maximum distortion at the corners.
Origin
Bernard J.S. Cahill produced his butterfly arrangement in 1909 and promoted it thereafter. He succeeded in having Oscar S. Adams develop the mathematics for a conformal version, which he published in 1929. L.P. Lee greatly expanded upon and regularized the mathematics in 1976. Luca Concialdi developed this variant of the butterfly arrangement in 2015.
Description ©2010–2020 Mapthematics LLC.
