> For the complete documentation index, see [llms.txt](https://nkintc.gitbook.io/brainless/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://nkintc.gitbook.io/brainless/steam/art/origami/foldermath.md).

# FolderMath

Pages from researching origami and its relationship to mathematics

There is an undeniable relationship between folds and the mathematical simplicity of lines: a discontinuity in the plane and the one-to-one relationship between two variables. With a little time and effort, any 2D graph can be represented using a crease pattern, though it is a different story if it will produce anything of meaning in the deformed configuration. The problem is how to define what that relationship is supposed to be. 

![Crease pattern art piece titled "Crane Unfolded Phoenix Rising, Opus 563"by Kevin Box and Dr. Robert J. Lang in Los Alamos Public Library. ](https://354051965-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2F-M7czuNAEqLJsrfUWARA%2Fuploads%2FsQDow5yBTUybNi1YUN9W%2FPXL_20211130_193029009.jpg?alt=media\&token=6481e606-2127-4f6f-a9c3-0c2b3854e3a4)