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.

中文翻译：

---

正方形等面积地图投影

提出了一种新颖的方形等积地图投影。该投影结合了封闭形式的正向和反向解，具有相对较低的角度失真和最小的尖点，这些特性的组合在以前发布的任何方形等面积投影中都没有体现出来。因此，新投影的角度失真比以前发布的任何具有封闭形式解决方案的方形等面积投影都低。新的投影利用梅花排列，将北极置于广场的中心，并将南极划分在四个角之间；投影可以无缝平铺。封闭形式解决方案的存在使投影适用于实时可视化应用，包括制图和其他领域，例如全景图像的显示。