conformal projection
conformal transformation

This is not the only way of generating such a conformal projection.

Being a conformal projection, angles are preserved around all locations.

Conversely isotropic scale factors across the map imply a conformal projection.

These are some conformal projections:

Another synonym is Gauss conformal projection.

If the coordinates (,) are used to define a point in the complex plane, then any analytic function will define another conformal projection.

Since conformal projections have an isotropic scale factor they have also been called orthomorphic projections.

Definition: on a conformal projection with an isotropic scale, points which have the same scale value may be joined to form the isoscale lines.

The GS50 projection provides a conformal projection suitable only for maps of the 50 United States.

Such conformal projections allow one to map pieces of spherical surface onto a plane while preserving the local angles of intersection, and hence zone symmetries.

The azimuthal conformal projection, also known as the stereographic projection, can be constructed by using the tangent point's antipode as the point of perspective.