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

A Square Equal-area Map Projection with Low Angular Distortion, Minimal Cusps, and Closed-form Solutions