Chen,
Y.
,
Peng,
R.
, and
You,
Z.
, 2015, “
Origami of Thick Panels,” Science,
349(6246), pp. 396–400.

Edmonson,
B. J.
,
Lang
, R. J.
,
Magleby
, S. P.
, and
Howell,
L. L.
, 2014, “An Offset Panel Technique for Thick Rigidly Foldable Origami,” ASME Paper No. DETC2014-35606.

Evans,
T. A.
,
Lang,
R. J.
,
Magleby,
S. P.
, and
Howell,
L. L.
, 2015, “
Rigidly Foldable Origami Gadgets and Tessellations,” R. Soc. Open Sci.,
2(9), p. 150067.

[CrossRef] [PubMed]
Evans,
T. A.
,
Lang,
R. J.
,
Magleby,
S. P.
, and
Howell,
L. L.
, 2016, “
Rigidly Foldable Origami Twists,” Origami 6: Sixth International Meeting of Origami Science, Mathematics, and Education, American Mathematical Society, Providence, RI, pp. 119–130.

[CrossRef]
Lang,
R. J.
,
Magleby,
S.
, and
Howell,
L.
, 2015, “Single-Degree-of-Freedom Rigidly Foldable Origami Flashers,” ASME Paper No. DETC2015-46961.

Tachi,
T.
, 2010, “
Freeform Rigid-Foldable Structure Using Bidirectionally Flat-Foldable Planar Quadrilateral Mesh,” Advances in Architectural Geometry 2010,
Springer-Verlag,
Vienna, Austria, pp. 87–102.

Tachi,
T.
, 2010, “
Geometric Considerations for the Design of Rigid Origami Structures,” International Association for Shell and Spatial Structures Symposium (IASS), Shanghai, China, Nov. 8–12, pp. 458–460.

Tachi,
T.
, 2011, “
Rigid-Foldable Thick Origami,” Origami 5: Fifth International Meeting of Origami Science, Mathematics, and Education, CRC Press, Boca Raton, FL, pp. 253–264.

[CrossRef]
Tachi,
T.
, 2013, “
Composite Rigid-Foldable Curved Origami Structure,” First International Conference on Transformable Architecture (Transformables 2013), Seville, Spain, Sept. 18–20, pp. 18–20.

Tachi,
T.
, 2018, “Software: Freeform Origami, Origamizer, Rigid Origami Simulator,” Tomohiro Tachi, Tokyo, Japan, accessed Jan. 23, 2018,

http://www.tsg.ne.jp/TT/software/
Greenberg,
H. C.
,
Gong,
M. L.
,
Magleby,
S. P.
, and
Howell,
L. L.
, 2011, “
Identifying Links Between Origami and Compliant Mechanisms,” Mech. Sci.,
2(2), pp. 217–225.

[CrossRef]
Howell,
L. L.
, 2001, Compliant Mechanisms,
Wiley,
Hoboken, NJ.

Yan,
C.
,
Weilin,
L.
,
Junlan,
L.
, and
Zhong,
Y.
, 2017, “
An Extended Family of Rigidly Foldable Origami Tubes,” ASME J. Mech. Rob.,
9(2), p. 021002.

Klett,
Y.
, and
Middendorf,
P.
, 2016, “
Kinematic Analysis of Congruent Multilayer Tessellations,” ASME J. Mech. Rob.,
8(3), p. 034501.

[CrossRef]
Qiu,
C.
,
Zhang,
K.
, and
Dai,
J. S.
, 2016, “
Repelling-Screw Based Force Analysis of Origami Mechanisms,” ASME J. Mech. Rob.,
8(3), p. 031001.

[CrossRef]
Yasuda,
H.
,
Chen,
Z.
, and
Yang,
J.
, 2016, “
Multitransformable Leaf-Out Origami With Bistable Behavior,” ASME J. Mech. Rob.,
8(3), p. 031013.

[CrossRef]
Lang,
R. J
., 2017, Twists, Tilings, and Tessellations: Mathematical Methods for Geometric Origami,
CRC Press,
Boca Raton, FL.

Justin,
J.
, 1997, “
Towards a Mathematical Theory of Origami,” Origami Science and Art: Second International Meeting of Origami Science and Scientific Origami, Seian University of Art and Design, Otsu, Japan, pp. 15–30.

Huffman,
D. A.
, 1976, “
Curvature and Creases: A Primer on Paper,” IEEE Trans. Comput.,
C-25(10), pp. 1010–1019.

[CrossRef]
Thomas,
H.
, 2006, Project Origami: Activities for Exploring Mathematics,
A K Peters,
Natick, MA.

Schief,
W. K.
,
Bobenko,
A. I.
, and
Hoffmann,
T.
, 2008, “
On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces,” Discrete Differential Geometry,
Springer,
New York, pp. 67–93.

[CrossRef]
Miura
, K.
, and
Natori,
M.
, 1985, “
2-D Array Experiment on Board a Space Flyer Unit,” Space Sol. Power Rev.,
5(4), pp. 345–356.

Barreto
, P. T.
, 1997, “
Lines Meeting on a Surface: The ‘Mars’ Paperfolding,” Origami Science and Art: Second International Meeting of Origami Science and Scientific Origami, Seian University of Art and Design, Otsu, Japan, pp. 343–359.

Sakoda,
J. M.
, 1997, “
Hikari-Ori: Reflective Folding,” Origami Science and Art: Second International Meeting of Origami Science and Scientific Origami, Seian University of Art and Design, Otsu, Japan, pp. 333–342.

Harary,
F.
, 1994, Graph Theory,
Westview Press,
Boulder, CO.

Kaneko,
M.
, 1997, “
Poly-Bernoulli Numbers,” J. Théor. Nombres Bordeaux,
9(1), pp. 221–228.

[CrossRef]