no. 25
Spring-like behavior
Auxetic Metamaterial
Source: Johannes Overvelde, James Weaver, Chuck Hoberman and Katia Bertoldi, Rational design of reconfigurable prismatic architected materials, Nature 541, 347-352, 19 January 2017.
no. 26
Auxetic Metamaterial
"Programmable" by deforming parts of the pattern
Try varying the angles
The Miura fold (ミウラ折り Miura-ori) is a method of folding a flat surface such as a sheet of paper into a smaller area. The fold is named for its inventor, Japanese astrophysicist Koryo Miura.[1] The crease patterns of the Miura fold form a tessellation of the surface by parallelograms. In one direction, the creases lie along straight lines, with each parallelogram forming the mirror reflection of its neighbor across each crease. In the other direction, the creases zigzag, and each parallelogram is the translation of its neighbor across the crease. Each of the zigzag paths of creases consists solely of mountain folds or of valley folds, with mountains alternating with valleys from one zigzag path to the next. Each of the straight paths of creases alternates between mountain and valley folds.[2] The Miura fold is a form of rigid origami, meaning that the fold can be carried out by a continuous motion in which, at each step, each parallelogram is completely flat. This property allows it to be used to fold surfaces made of rigid materials. For instance, large solar panel arrays for space satellites in the Japanese space program have been Miura folded before launch and then spread out in space.[3][4] A folded Miura fold can be packed into a compact shape, its thickness reflecting only the thickness of the folded material. Folded material can be unpacked in one motion by pulling on its opposite ends, and likewise folded by pushing the two ends together. In the solar array application, this property reduces the number of motors required to unfold this shape, reducing weight and complexity. (Wikipedia)
no. 27
Bistable mechanism
Try it at various sizes to adjust the strength of bistability "snap"
Source: Itai Cohen Group, Cornell University This is a single unit of the square twist pattern. Mathematically speaking, this folding pattern is unfoldable. The result is a bistable mechanism-- a sort of paper switch.
no. 28
90° form
Optical illusion
We believe that this form originated with Josef Alber's students at the Bauhaus.
no. 29
90° form
Optical illusion
We believe that this form originated with Josef Alber's students at the Bauhaus.
no. 30
180° form
Form-building
We believe that this form originated with Josef Alber's students at the Bauhaus.
no. 31
90° form
Optical illusion
We believe that this form originated with Josef Alber's students at the Bauhaus.