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SUMMARY:Rigid-foldable quadrilateral creased papers and its application on
  approximating a target surface - Zeyuan He\, Phd Candidate\, CUED
DTSTART:20190308T150000Z
DTEND:20190308T160000Z
UID:TALK121036@talks.cam.ac.uk
CONTACT:Karen Mitchell
DESCRIPTION:A quadrilateral creased paper is the union of a 2-manifold and
  a quadrilateral mesh embedded on this 2-manifold\, which is not necessari
 ly developable. The ``Rigid-foldability'' we discuss here corresponds to f
 lexibility in rigidity theory\, where each quadrilateral is considered as 
 a rigid panel. Based on a nearly-complete classification of rigid-foldable
  Kokotsakis quadrilaterals from Ivan Izmestiev\, here we will show new dis
 coveries on the large rigid-foldable quadrilateral creased papers with the
  following additional requirements: \n1) For at least one rigid folding mo
 tion no folding angle remains constant. 2) The quadrilateral creased paper
  can be extended in both longitudinal and transverse directions infinitely
 . 3) The sector angles can be solved quadrilateral by quadrilateral. All t
 hese quadrilateral creased papers have one degree of freedom in each branc
 h of their rigid folding motion. We also explore how these new variations 
 of large rigid-foldable quadrilateral creased papers can be used to approx
 imate a non-developable surface. The approximation is started from the pla
 nar state\, then the creased paper can be folded continuously to the final
  state\, where the folding motion halts because some panels clash.\n
LOCATION: Cambridge University Engineering Department\, LT6
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