Fig. 3: Procedure to produce reconfigurability through topological reconstruction. | Nature Communications

Fig. 3: Procedure to produce reconfigurability through topological reconstruction.

From: Inverse design of 3D reconfigurable curvilinear modular origami structures using geometric and topological reconstructions

Fig. 3

a.1 Sphere template constructed from the volumetric mapping \(\left(2\times 2\times 2\right)\) of a unit cell combining a tetrahedron and octahedron; a.2 Prismatic architected material after geometric modification; a.3 Two adjacent modules connected by prismatic tubes; a.4 Construction of a fully connected graph with basic cycles \({n}_{{bc}}=17\); a.5 Rigid module fully connected with tubes; a.6 Modules with nonzero mobility; a.7 Deformable assembly with 10 DOFs after topological reconstruction; a.8 Two disconnected modules; and a.9 Reconstructed graph with fewer basic cycles, where \({n}_{{bc}}=3\). b Transformation of a reconfigurable structure where the DOFs are denoted by 10 dihedral angles with colored hinges. The change of angles is discussed in Supplementary Movie 3 and Supplementary Note 4 of the SI. See details of the physical prototypes in Supplementary Note 4 of the SI. c, d Cone and hyperboloid templates having the same graph as a.9 with \({n}_{{bc}}=3\), producing a reconfigurable structure with 10 DOFs. The size of the scale bar in b is 5 cm.

Back to article page