We study circle packings with the combinatorics of a triangulated disk in the plane and parametrize deformations of circle packings in terms of vertex rotation and cross ratios. We show that there is a Weierstrass representation formula relating infinitesimal deformations of circle packings to discrete minimal surfaces of Koebe type. Furthermore, every minimal surface of Koebe type can be extended naturally to a discrete minimal surface of general type. In this way, discrete minimal surfaces via Steiner's formula are unified.

中文翻译：

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来自圆形填料的无穷小变形的最小表面

我们使用平面中三角盘的组合来研究圆形填料，并根据顶点旋转和交叉比参数化圆形填料的变形。我们表明存在一个 Weierstrass 表示公式，将圆形填充的无穷小变形与 Koebe 型离散最小表面联系起来。此外，Koebe 类型的每个极小曲面都可以自然地扩展为一般类型的离散极小曲面。这样，通过 Steiner 公式的离散最小曲面被统一了。