Edited by Robert J. Lang, Mark Bolitho and Zhong You with a committee of 14 other expertsOrigami7 is a collection of papers published for the 7th International Meeting on Origami in Science, Mathematics and Education (7OSME), held at Oxford University in the United Kingdom from September 4?7, 2018. 7OSME is the seventh conference in a series dedicated to research in the applications of origami and folding in the conference title fields, as well as in technology, design and history. Volume 2: Mathematics With a preface by Thomas HullPapers on the mathematics of folding. Papers range from exploration of the mathematics inherent in folded structures, to the use of folding techniques to explore and illustrate mathematical concepts. Several papers look into the mathematics connected with specific folding structures, including the Miura-ori pattern and origami tessellations.