Parametric solutions to the kinematics of developable degree-4 rigid origami vertices
Yucai Hu,
Changjun Zheng,
Chuanxing Bi
et al.
Abstract:Developable degree-4 (DD4) vertices have four facets and four creases and can be unfolded flat. The rigid-folding kinematics of DD4 vertices is rich in that it generally has two folding modes and can get stuck when two facets bind together. To study the full spectrum of the kinematics of DD4 vertices, parametric solutions for fold angles in terms of the cotangents of half-angles are derived from the opposite and adjacent fold angle relationships. It is shown that any two fold angles of a general DD4 vertex are… Show more
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