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CATEGORIES:Engineering Department Structures Research Seminar
s
SUMMARY:Rigid-foldable quadrilateral creased papers and it
s application on approximating a target surface -
Zeyuan He\, Phd Candidate\, CUED
DTSTART;TZID=Europe/London:20190308T150000
DTEND;TZID=Europe/London:20190308T160000
UID:TALK121036AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/121036
DESCRIPTION:A quadrilateral creased paper is the union of a 2-
manifold and a quadrilateral mesh embedded on this
2-manifold\, which is not necessarily developable
. The ``Rigid-foldability'' we discuss here corres
ponds to flexibility in rigidity theory\, where ea
ch quadrilateral is considered as a rigid panel. B
ased on a nearly-complete classification of rigid-
foldable Kokotsakis quadrilaterals from Ivan Izmes
tiev\, here we will show new discoveries on the la
rge rigid-foldable quadrilateral creased papers wi
th the following additional requirements: \n1) For
at least one rigid folding motion no folding angl
e remains constant. 2) The quadrilateral creased p
aper can be extended in both longitudinal and tran
sverse directions infinitely. 3) The sector angles
can be solved quadrilateral by quadrilateral. All
these quadrilateral creased papers have one degre
e of freedom in each branch of their rigid folding
motion. We also explore how these new variations
of large rigid-foldable quadrilateral creased pape
rs can be used to approximate a non-developable su
rface. The approximation is started from the plana
r state\, then the creased paper can be folded con
tinuously to the final state\, where the folding m
otion halts because some panels clash.\n
LOCATION: Cambridge University Engineering Department\, LT6
CONTACT:Karen Mitchell
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