A flexible planar tessellation with a flexion tiling a cylinder of revolution

Journal for Geometry and Graphics

Volumn 16, Issue 2, 2012, Pages 153-170

  Stachel, Hellmuth ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

Cylinder tiling; Flexible polyhedra; Kokotsakis mesh; Periodic framework; Quad mesh; Rigid origami

Indexed keywords

EID: 84880518484     PISSN: 14338157     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. J. Angeles: Fundamentals of robotic mechanical systems. Springer, New York 2007.
2. A.I. Bobenko, T. Hoffmann, W.K. Schief: On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces. In A.I. Bobenko et al. (eds.): Discrete Differential Geometry. Oberwolfach Seminars 38, 67-93 (2008).
3. C.S. Borcea, I. Streinu: Periodic frameworks and flexibility. Proc. R. Soc. A 8 466, no. 2121, 2633-2649 (2010).
4. A. Kokotsakis: Über bewegliche Polyeder. Math. Ann. 107, 627-647 (1932).
5. H. Schaal: Konstruktion der Drehzylinder durch vier Punkte einer Ebene. Sitzungsber., Abt. II, österr. Akad. Wiss., Math.-Naturw. Kl. 195, 405-418 (1986).
6. th Aplimat 2006, Bratislava/Slovak Republic, Part I, pp. 201-209.
7. H. Stachel: A kinematic approach to Kokotsakis meshes. Comput. Aided Geom. Des. 27, 428-437 (2010).
8. H. Stachel: Remarks on flexible quad meshes. Proc. 11th Internat. Conference on Engineering Graphics-Baltgraf-11, Tallinn/Estonia, pp. 84-92.
9. H. Stachel: On the Rigidity of Polygonal Meshes. South BohemiaMathematical Letters 19 (1), 6-17 (2011).