Adams hemisphere-in-a-square projection
Encyclopedia
The Adams-hemisphere-in-a-square is a conformal
Conformal map
In mathematics, a conformal map is a function which preserves angles. In the most common case the function is between domains in the complex plane.More formally, a map,...

 map projection
Map projection
A map projection is any method of representing the surface of a sphere or other three-dimensional body on a plane. Map projections are necessary for creating maps. All map projections distort the surface in some fashion...

 for a hemisphere (except for four points where the conformality fails). It is a transverse version of the Peirce quincuncial projection
Peirce quincuncial projection
The Peirce quincuncial projection is a conformal map projection that presents the sphere as a square...

. When it is used to represent the entire sphere it is known as the Adams doubly periodic projection.
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