# The Mathematical Impossibility of Creating a Perfect World Map Why cartographers struggle to represent a spherical Earth on a flat plane. - **Source:** [Scientific American Content: Global](https://brifing.si/source/4f066134-e06d-4415-87ef-305e3dc2aba6) - **Published:** 2026-10-20 - **Topic:** [Business](https://brifing.si/c/business) - **Original article:** - **On Brifing:** https://brifing.si/s/eaa1c8e8-553a-4f0a-b17a-d1f0d8cd7435 ## The Inherent Geometric Conflict Mapping a sphere onto a flat plane is mathematically impossible without introducing distortions. Attempting to wrap a spherical object in flat paper inevitably causes creases, mirroring the challenge cartographers face. It is impossible to simultaneously preserve both the precise shape of landmasses and their accurate surface area on any two-dimensional map. ## Mercator Projection Limitations Developed in 1569 by Gerardus Mercator, this projection was designed to preserve angles, making it highly useful for seafarers navigating by compass. However, it significantly distorts size near the poles. For example, Greenland appears roughly the same size as Africa, even though Africa is actually 14 times larger in reality. ## The Gall-Peters Alternative In 1973, historian Arno Peters promoted an equal-area projection to counter Eurocentric worldviews, though cartographer James Gall had proposed a similar model a century earlier. While this projection accurately represents the relative size of continents, it causes significant warping of shapes, particularly for countries located in lower latitudes near the equator. ## Developing the Equal Earth In 2017, Bojan Savri, Tom Patterson, and Bernhard Jenny sought a better alternative after the Boston school system adopted Gall-Peters. They developed the Equal Earth projection in 2018, utilizing a pseudocylindrical approach. This method keeps shape distortions to a minimum while maintaining the accurate area representation that previous models failed to balance effectively. ## Mathematical Construction Methods The researchers based their work on the Robinson projection, which uses empirically determined reference points and interpolation rather than strict formulas. They combined existing projections using custom graphics software to achieve a visually appealing grid. Finally, they calculated the specific projection equations required to ensure the map remained both scientifically rigorous and aesthetic. ## United Nations Resolution 2026 On September 4, 2026, the United Nations adopted a resolution encouraging governments and schools to replace the Mercator projection with the Equal Earth model. While the resolution is not legally binding, 164 nations voted in favor. The United States was the only country to vote against the proposal, while six nations abstained. ## Political and Social Implications The shift toward the Equal Earth projection has sparked intense debate, with some viewing it as a necessary step to dismantle cartographic colonialism. Others have labeled the initiative a radical ideological project. Despite these differing perspectives, the African Union and various other nations support the change as a fairer representation of global geography. ## The Quest for Compromise As cartographer Lorenz Hurni noted, no truly perfect map exists. The Equal Earth projection represents a deliberate compromise to minimize shape distortion while maintaining area accuracy. This transition reflects a broader global effort to update how we visualize our world, moving away from outdated standards toward more scientifically balanced and equitable representations. ## Sources covering this story - https://www.scientificamerican.com/article/the-mathematical-impossibility-of-making-a-perfect-world-map/ — --- _Summary written by Brifing from the original reporting. Copyright in the original article belongs to its publisher; read the full piece at the link above._