Bending of a~piecewise developable surface
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Tome 275 (2011), pp. 144-166

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We substantiate in detail the possibility of one-parameter bending of a developable surface possessing a stationary curvilinear edge and stationary rectilinear generators. We construct particular examples of developable surfaces that possess a curvilinear edge and admit one-parameter bendings. We also give examples of closed piecewise developable surfaces that admit one-parameter bendings.
@article{TM_2011_275_a7,
     author = {M. I. Shtogrin},
     title = {Bending of a~piecewise developable surface},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {144--166},
     publisher = {mathdoc},
     volume = {275},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2011_275_a7/}
}
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M. I. Shtogrin. Bending of a~piecewise developable surface. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Tome 275 (2011), pp. 144-166. http://geodesic.mathdoc.fr/item/TM_2011_275_a7/