This cover image illustrates the contrast between the traditional Cartesian coordinate system (depicted in green) and the homogeneous coordinate system (shown in purple), with an additional dimension extending from the Cartesian grid. The homogeneous model for 3D space not only linearizes isometries, as demonstrated by the 4 × 4 matrix in red using internal coordinates, but it also provides a more elegant and compact representation for calculating interatomic distances, highlighted in red on the left. For further details, see article number 2400271 by Jesus Camargo and Carlile Lavor.

中文翻译：

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用于计算内部坐标的齐次坐标系及其导数的新视角 （Adv. Theory Simul. 11/2024）


此封面图像说明了传统笛卡尔坐标系（以绿色表示）和齐次坐标系（以紫色显示）之间的对比，并增加了一个维度，该坐标系从笛卡尔栅格延伸出来。3D 空间的齐次模型不仅线性化了等距关系，如使用内部坐标的红色 4 × 4 矩阵所示，而且还为计算原子间距离提供了更优雅、更紧凑的表示形式，如左侧红色突出显示。有关更多详细信息，请参阅 Jesus Camargo 和 Carlile Lavor 的文章编号 2400271。