Map Projections
Explore the 15 most popular map projections. Learn how they distort the Earth, their unique properties, and their applications.
What is a map projection?
A map projection is a mathematical method used to represent the three-dimensional curved surface of the Earth on a flat map plane. Because a sphere cannot be flattened without tearing, stretching, or compressing it, every flat map must contain distortions.
The Cartographer's Trilemma
In 1827, mathematician Carl Friedrich Gauss proved (in his Theorema Egregium) that a sphere cannot be projected onto a flat plane without deformation. Cartographers must choose which of the three main properties to preserve at the expense of others:
Preserves local angles and shapes (e.g., Mercator). Vital for navigation (as it keeps compass bearings straight), but drastically inflates areas near the poles.
Preserves the relative sizes of landmasses (e.g., Gall-Peters or Mollweide). Countries have the correct relative surface areas, but their local shapes become heavily stretched or distorted.
Do not perfectly preserve area or shapes, but instead balance both distortions to produce a natural, visually pleasing map of the world (e.g., Robinson or Winkel Tripel).
Mercator Projection
Conformal CylindricalDesigned in 1569 by the Flemish geographer and cartographer Gerardus Mercator. It became the standard projection for marine navigation because rhumb lines (lines of constant bearing) are represented as straight line segments.
View details & analysis βRobinson Projection
Compromise PseudocylindricalCreated in 1963 by Arthur Robinson at the request of Rand McNally. Robinson developed it through trial and error, adjusting coordinates in a table until the world map looked visually balanced and natural to the human eye.
View details & analysis βGall-Peters Projection
Equal-Area CylindricalFirst described by James Gall in 1855, and independently popularized in 1973 by German historian Arno Peters. Peters promoted it as a politically fair alternative to Mercator, correctly portraying the size of Global South countries.
View details & analysis βMollweide Projection
Equal-Area PseudocylindricalDeveloped in 1805 by the German mathematician and astronomer Karl Mollweide. It was created to satisfy the need for an equal-area projection showing the entire globe inside an aesthetically pleasing ellipse.
View details & analysis βWinkel Tripel Projection
Compromise Modified AzimuthalDesigned in 1921 by German cartographer Oswald Winkel. The name 'Tripel' (triple) refers to Winkel's goal of minimizing three types of distortion simultaneously: area, direction, and distance.
View details & analysis βEqual Earth Projection
Equal-Area PseudocylindricalCreated in 2018 by a team of cartographers in response to criticism of the Gall-Peters projection. The objective was to design an equal-area projection that avoids the severe elongation of equatorial landmasses.
View details & analysis βPeirce Quincuncial
Conformal PolyhedralDeveloped in 1879 by the American philosopher and mathematician Charles Sanders Peirce. Utilizing elliptic functions, it projects the sphere onto a square, placing the North Pole at the center and dividing the South Pole into the four corners.
View details & analysis βBerghaus Star Projection
Star-like Azimuthal-ConicDesigned in 1879 by German cartographer Hermann Berghaus. It was initially created as a logo for the cover of Stieler's Handatlas and gained recognition due to its distinctive and artistic star shape.
View details & analysis βAugust Epicycloidal
Conformal Two-SheetedDesigned in 1874 by the German mathematician Franz August. It is a conformal projection (preserving angles) that maps the entire sphere inside a heart-shaped boundary (epicycloid).
View details & analysis βPlate CarrΓ©e
Equirectangular / Plate CarrΓ©eOne of the oldest known projections, credited to Marinus of Tyre around 120 AD. The French name 'Plate CarrΓ©e' translates to 'flat square', as lines of latitude and longitude form a simple square grid.
View details & analysis βGlobe (Orthographic)
Perspective AzimuthalKnown since antiquity, described by Greek mathematician Apollonius of Perga in the 3rd century BC. It represents a perspective view of the globe projected onto a plane from an infinite distance (like from outer space).
View details & analysis βWaterman Butterfly
Polyhedral (butterfly), interruptedCreated in 1996 by Steve Waterman from the geometry of the Waterman polyhedra (a dense sphere packing). It builds on Bernard J. S. Cahill's earlier 1909 "butterfly map", which unfolded the globe into eight triangular octahedral lobes. Waterman arranged the cuts to run through the oceans and spare the continents.
View details & analysis βDymaxion (Airocean) Projection
Polyhedral (icosahedral), interrupted, near-equal-areaDeveloped in 1943 by the famous American architect and inventor Buckminster Fuller (with cartographic work finalized by Shoji Sadao in 1954). Fuller aimed to create a map representing the Earth as "one island in one ocean" (One Island, One Ocean), without splitting any major landmasses (like Asia and North America) and without distorting their relative sizes. Unlike most maps, it has no top or bottom, nor a preferred North-up orientation.
View details & analysis βWerner Cordiform Projection
Pseudoconical equal-area (cordiform)Developed and popularized in 1514 by the German parish priest and mathematician Johannes Werner of Nuremberg. Werner refined an earlier design proposed around 1500 by the Viennese humanist Johannes Stabius (Stab). During the 16th and 17th centuries, it was widely used for world maps and maps of Asia, before eventually being replaced by newer, less distorted projections.
View details & analysis βSpilhaus Ocean Map Projection
Oblique conformal in a square (ocean-centric)Designed in 1942 by the South African-American geophysicist and oceanographer Athelstan Spilhaus. Spilhaus aimed to create a map depicting the world ocean as a single, continuous body of water to better visualize marine currents and global water circulation. This projection is an oblique aspect of the Adams World in a Square II projection, rotated and centered on Antarctica.
View details & analysis βSummary of Map Projection Properties
A comprehensive side-by-side comparison of all projections across their main geometric characteristics.
| Projection | Area | Shape | Distances | Angles & Directions | Continuity |
|---|---|---|---|---|---|
| Mercator Projection | β Distorted | β Preserved | β Distorted | β Preserved | β Preserved |
| Robinson Projection | βοΈ Compromise | βοΈ Compromise | βοΈ Compromise | β Preserved | β Preserved |
| Gall-Peters Projection | β Preserved | β Distorted | β Distorted | β Distorted | β Preserved |
| Mollweide Projection | β Preserved | β Distorted | β Distorted | β Distorted | β Preserved |
| Winkel Tripel Projection | βοΈ Compromise | β Distorted | β Distorted | βοΈ Compromise | β Preserved |
| Equal Earth Projection | β Preserved | βοΈ Compromise | β Distorted | β Distorted | β Preserved |
| Peirce Quincuncial | β Distorted | β Preserved | β Distorted | β Preserved | β Preserved |
| Berghaus Star Projection | β Distorted | β Distorted | β Preserved | β Distorted | β Interrupted |
| August Epicycloidal | β Distorted | β Preserved | β Distorted | β Preserved | β Preserved |
| Plate CarrΓ©e | β Distorted | β Distorted | β Preserved | β Distorted | β Preserved |
| Globe (Orthographic) | β Distorted | β Distorted | β Distorted | β Distorted | β Interrupted |
| Waterman Butterfly | β Distorted | β Distorted | β Distorted | β Preserved | β Interrupted |
| Dymaxion (Airocean) Projection | β Distorted | β Distorted | β Distorted | β Preserved | β Interrupted |
| Werner Cordiform Projection | β Preserved | β Distorted | β Preserved | β Distorted | β Preserved |
| Spilhaus Ocean Map Projection | β Preserved | β Preserved | β Preserved | β Preserved | β Interrupted |