We construct ancient solutions to Curve Shortening in the plane whose total curvature is uniformly bounded by gluing together an arbitrary chain of given Grim Reapers along their common asymptotes.

中文翻译：

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具有有限总曲率的曲线缩短的古老解决方案

我们在平面上构建了曲线缩短的古老解决方案，该平面的总曲率是通过将任意给定的死神链沿着它们的公共渐近线粘合在一起而统一限定的。