The advanced mathematics of complex numbers permitted the design of many strange and interesting map projections that are conformal.

A few of the simplest conformal projections that go beyond the familiar Mercator and Stereographic (but make use of them as starting points for going from the globe to the plane) are illustrated here.

- The Lagrange Conformal
- August's Conformal Projection
- Guyou's Doubly-Periodic Projection
- The Adams-Gougenheim-Lee Conformal Projection of the World on an Ellipse
- Projections Based on the Dixon Elliptic Functions

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