论文标题
变形空间和静态动画
Deformation Spaces and Static Animations
论文作者
论文摘要
我们研究了3D打印的应用，以了解数学对象在家庭中如何连续变化的广泛目标。为此，我们将不同的参数建模为3D打印的垂直轴，引入了静态动画的概念：一个3D打印对象每个层是其连续变形族的成员。我们调查示例并与代数几何，复杂动力学，混乱理论等联系起来。我们还包括一个详细的教程（带有随附的代码和文件），以便读者可以创建自己的静态动画。
We study applications of 3D printing to the broad goal of understanding how mathematical objects vary continuously in families. To do so, we model the varying parameter as the vertical axis of a 3D print, introducing the notion of a static animation: a 3D printed object each of whose layers is a member of the continuously deforming family. We survey examples and draw connections to algebraic geometry, complex dynamics, chaos theory, and more. We also include a detailed tutorial (with accompanying code and files) so that the reader can create static animations of their own.
