What’s wrong with that map? Relativity 9

Maps are wonderful to picture our planet Earth! But they are also deeply misleading… All of them. And there’s a fundamental theorem behind this!

Can you glue opposite edges of a square? Relativity 7
Why do soccer balls have the shape they have? Relativity 8
What’s a straight line? Curved-space geometry | Science4All 10
What’s the geometry of my underpants? Hyperbolic Geometry | Science4All 11
Could space be finite? Poincare conjecture | Science4All 21

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Non-Euclidean Geometry and Map-Making Non-Euclidean Geometry and Map-Making
By Scott McKinney | Updated:2016-02 | Views: 11437
Geometry literally means "the measurement of the Earth", and more generally means the study of measurements of different kinds of space. Geometry on a flat surface, and geometry on the surface of a sphere, for example, are fundamentally different. A consequence of this disparity is the fact that it is impossible to create a perfectly accurate (flat) map of the Earth's (spherical) surface. Every map of the Earth necessarily has distortions. In this post we look at a few different methods of map-making and evaluate their distortions as well as their respective advantages.

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Maps by Jason Davies.

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