Mathematical images occur in lectures, books, notes and posters, and on the internet. We extend Kennedy's proposal for classifying these images. In doing so we distinguish three uses of images in mathematics: iconic images; incidental images; and integral images. An iconic image is one that so captures the essence of a concept or proof that it serves for a community of mathematicians as a motto or a meme for an area or a result. A system such as Euclid's can combine such apprehensions with other forms of logical inference and an image that is built into a system of exposition is called an integral image. An incidental image is an image used by a mathematician to reason with a particular concept. In addition to this thematic characterization, we also explore one concept, infinity, in some depth by comparing representations of the infinite by mathematicians and artists.

中文翻译：

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数学中的图像

数学图像出现在讲座、书籍、笔记和海报以及互联网上。我们扩展了肯尼迪对这些图像进行分类的建议。为此，我们区分了图像在数学中的三种用途：标志性图像；附带图像；和完整的图像。标志性图像是这样一种概念或证明的本质，它为数学家社区服务，作为一个领域或结果的座右铭或模因。像欧几里得这样的系统可以将这种理解与其他形式的逻辑推理相结合，并且构建在阐述系统中的图像称为整体图像。偶然图像是数学家用来推理特定概念的图像。除了这个主题特征，我们还探索了一个概念，无穷大，