** Mathematics** is the study of

3D illustration of a stereographic projection from the north pole onto a plane below the sphere. Image credit: |

In ** stereographic projection** is a particular mapping (

Intuitively, then, the stereographic projection is a way of picturing the sphere as the plane, with some inevitable compromises. Because the sphere and the plane appear in many areas of

This image illustrates a failed attempt to comb the "hair" on a ball flat, leaving a tuft sticking out at each pole. The ** hairy ball theorem** of

- ...that it has not been proven whether or not
every even integer greater than two can be expressed as the sum of two primes ? - ...that
*i*to the power of*i*, where*i*is thesquare root of -1 , is a real number? - ...an
infinite, nonrepeating decimal can be represented using only the number 1 usingcontinued fractions ? - ...that 253931039382791 and the following 18 prime numbers all end in the digit 1?
- ...that the
Electronic Frontier Foundation funds awards for the discovery ofprime numbers beyond certain sizes? - ...that
pi can be computed using only the number 2 by the work ofViète ?

The ** Mathematics WikiProject** is the center for mathematics-related editing on Wikipedia. Join the discussion on the project's

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General | Foundations | Number theory | Discrete mathematics |
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Algebra | Analysis | Geometry and topology | Applied mathematics |

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