We analyze in detail a specific image of curvilinear perspective developed by Andre Barre and Albert Flocon in 1968 which depicts a square room from its interior by a 360° total perspective. Since its publication, their work has become an important point of reference, but they did not say how it was done. We discuss how this specific case of a pseudo-spherical projection for a hypercube was achieved by hybridized using ellipse curves in one of the spatial directions and a different spherical projection in the other direction. For this analysis we develop the mathematical expressions and study how the ellipsoidal and spherical transformations are hybridized into one solution. Barre and Flocon attempted to use both projections in an angular curvilinear grid as a practical drawing method. One of the main interests of having access to a 360° curvilinear grid arises its ability to act as a drawing guide. We provide an example of its use to demonstrate its practicality.

我们详细分析了由安德烈·巴雷（Andre Barre）和阿尔伯特·弗洛肯（Albert Flocon）于1968年开发的曲线透视图的特定图像，该图从内部以360°的整体视角描绘了一个方形房间。自出版以来，他们的工作已成为重要的参考点，但他们没有说明它是如何完成的。我们讨论如何通过使用空间方向之一上的椭圆曲线和另一方向上的不同球形投影进行混合来实现超立方体的伪球形投影的这种特殊情况。为了进行此分析，我们开发了数学表达式，并研究了如何将椭圆和球形变换混合为一个解。Barre和Flocon尝试将角投影网格中的两个投影用作一种实际的绘制方法。能够访问360°曲线网格的主要兴趣之一是其能够充当绘图向导。我们提供了一个使用它的例子来证明它的实用性。