Origami folds in higher-dimension

13 pages•Published: March 26, 2017

Abstract

We present a generalization of mathematical origami to higher dimensions. We briefly explain Huzita- Justin’s axiomatic treatment of mathematical origami. Then, for concreteness, we apply it to origami on 3-dimensional Euclidean space in which the fold operation consists of selecting a half-plane and reflect- ing one half-plane across it. We finally revisit the subject from an n-dimensional point of view.

Keyphrases: computational origami, euclidean geometry, geometric modeling, higher dimensional geometry, mathematical origami

In: Mohamed Mosbah and Michael Rusinowitch (editors). SCSS 2017. The 8th International Symposium on Symbolic Computation in Software Science 2017, vol 45, pages 83-95.

Links:	https://easychair.org/publications/paper/S3
	https://doi.org/10.29007/n76q

BibTeX entry

@inproceedings{SCSS2017:Origami_folds_higher_dimension,
  author    = {Tetsuo Ida and Stephen Watt},
  title     = {Origami folds in higher-dimension},
  booktitle = {SCSS 2017. The 8th International Symposium on Symbolic Computation in Software Science 2017},
  editor    = {Mohamed Mosbah and Michael Rusinowitch},
  series    = {EPiC Series in Computing},
  volume    = {45},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {/publications/paper/S3},
  doi       = {10.29007/n76q},
  pages     = {83-95},
  year      = {2017}}

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