Design of non-isomorphic symmetric descendants of the Miura-ori

Smart Materials and Structures

Volumn 24, Issue 8, 2015, Pages

  Sareh, Pooya ^a   Guest, Simon D ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

flat foldability; origami; symmetry; the Miura ori; wallpaper groups

Indexed keywords

CRYSTAL SYMMETRY; MECHANICAL PROPERTIES;

FLAT-FOLDABILITY; NON-ISOMORPHIC; ORIGAMI; SYMMETRIC DERIVATIVES; SYMMETRY GROUPS; THE MIURA-ORI; UNIT CELLS; WALLPAPER GROUPS;

INTELLIGENT MATERIALS;

EID: 84938152197     PISSN: 09641726     EISSN: 1361665X     Source Type: Journal    
DOI: 10.1088/0964-1726/24/8/085002     Document Type: Article

References (16)

1. Sareh P and Guest S D 2015 A framework for the symmetric generalisation of the Miura-ori Int. J. Space Struct. Spec. Issue Folds Struct. at press
2. Miura K 1994 Map fold a la Miura style, its physical characteristics and application to the space science Research of Pattern Formation ed R Takaki (Tokyo: KTK Scientific Publishers) pp 77-90
3. Sareh P and Guest S D 2013 Minimal isomorphic symmetric variations on the miura fold pattern Transformables 2013:Proc. 1st Int. Conf. on Transformable Architecture (Seville, Spain,)
4. Sareh P and Guest S D 2015 Design of isomorphic symmetric descendants of the Miura-ori Smart Mater. Struct. 24 085001
5. Schwarzenberger R L E 1974 The 17 plane symmetry groups Math. Gaz. 58 123-31
6. Hahn T 2005 International tables for crystallography Space-Group Symmetry vol A (New York: Springer)
7. Schattschneider D 1978 The plane symmetry groups: their recognition and notation Am. Math. Mon. 85 439-50
8. Coxeter H S M 1989 Introduction To Geometry 2nd edn (Hoboken, NJ: Wiley)
9. Martin G E 1996 Transformation Geometry: An Introduction to Symmetry 4th edn (New York: Springer)
10. Coxeter H S M and Moser W O J 1972 Generators and Relations for Discrete Groups 3rd edn (Berlin: Springer)
11. Liu Y and Collins R T 2001 Skewed symmetry groups CVPR 2001: IEEE Computer Society Conf. on Computer Vision and Pattern Recognition (Kauai, HI, USA,)
12. Sareh P and Guest S D 2014 Designing symmetric derivatives of the Miura-ori Advances in Architectural Geometry (London: Springer) pp 233-41
13. Sareh P 2014 Symmetric descendants of the Miura-ori PhD Dissertation University of Cambridge, UK Engineering Department
14. Sareh P and Guest S D 2012 Tessellating variations on the Miura fold pattern IASS: Proc. Int. Association for Shell and Spatial Structures (Seoul, South Korea,)
15. Farin G and Hansford D 2013 Practical Linear Algebra: A Geometry Toolbox (Boca Raton, FL: A K Peters/CRC Press)
16. Tachi T 2013 'Freeform Origami' (online) (www.tsg.ne.jp/TT/software/)