  A novel square equal-area map projection is proposed. The projection combines
closed-form forward and inverse solutions with relatively low angular
distortion and minimal cusps, a combination of properties not manifested by any
previously published square equal-area projection. Thus, the new projection has
lower angular distortion than any previously published square equal-area
projection with a closed-form solution. Utilizing a quincuncial arrangement,
the new projection places the north pole at the center of the square and
divides the south pole between its four corners; the projection can be
seamlessly tiled. The existence of closed-form solutions makes the projection
suitable for real-time visualization applications, both in cartography and in
other areas, such as for the display of panoramic images.
