论文标题
对称与艺术
Symmetry and Art
论文作者
论文摘要
我们使用复杂分析中的一些基本思想来创建对称图像和动画。使用域着色算法，我们对整个复合平面或双曲线上半平面生成映射。所得设计可以根据我们选择的映射功能具有旋转，翻译或镜像对称性。这些设计的一个吸引人的特征是它们如何揭示欧几里得和非欧几里得几何形状的重要特性。我们还可以生成设计动画。我们的目标是创建具有重要艺术内容的设计和动画。
We use some fundamental ideas from complex analysis to create symmetric images and animations. Using a domain coloring algorithm, we generate mappings to the entire complex plane or the hyperbolic upper half-plane. The resulting designs can have rotational, translational, or mirror symmetry according to our chosen mapping functions. An appealing feature of these designs is how they reveal important properties of Euclidean and non-Euclidean geometries. We can also generate animations of our designs. Our goal is to create designs and animations having significant artistic content.
