Design of Single Degree-of-Freedom Triangular Resch Patterns with Thick-panel Origami

Fufu Yang, Miao Zhang, Jiayao Ma, Zhong You, Ying Yu, Yan Chen, Glaucio H. Paulino

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


As a series of tessellation origami patterns consisting of more than one type of polygons, Resch patterns are generally rigid foldable but with a large number of degrees of freedom (DOFs). The patterns are not flat foldable, instead the fully folded configuration is a sandwich style in flat profile. In order to achieve one-DOF forms of triangular Resch pattern units, the thick-panel technique is employed at vertices to replace spherical linkages with spatial linkages. The compatibility among all the vertices is studied by a systematic kinematic analysis of the thick-panel Resch pattern. Finally, two design schemes are obtained to form a one-DOF origami structure between the initial planar structure and the fully folded 3D sandwich structure with dome-curved intermediate folded configurations. The one-DOF Resch pattern structure can be used to generate reliable shape transformation.

Original languageEnglish (US)
Article number104650
JournalMechanism and Machine Theory
StatePublished - Mar 2022

All Science Journal Classification (ASJC) codes

  • Bioengineering
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications


  • Triangular Resch patterns
  • plane-symmetric Bricard linkage
  • thick-panel origami
  • threefold-symmetric Bricard linkage


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