no. 01
Flexagon
Repeating 4-frame Rectangular Animation Contraption
Bending the card according to its material memory brings the recipient through a 4-frame story. More here.
no. 02
Hexaflexagon
4 Repeating Frames
A hexaflexagon is a paper toy, an advertising display device, a “storytelling contraption,” and an interactive demonstration of geometry that requires physical activation in order to be “read.” Through the actions of bending, twisting or rotating, these paper gadgets reveal sequential, looping frames—providing an addic- tive format to tell stories and jokes, to reveal nested information, to create art or simply to provide a satisfy- ing outlet for nervous energy. More information here in an article for How Magazine.
no. 03
5-Sided Collapsible Tube
Auxetic Metamaterial
Source: Submitted by Erana Kratounis during Code-Paper-Scissors at SFPC.
no. 04
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. 05
Miura-ori Fold
"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. 06
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. 07
Hexagonal Origami Flasher
Flashers are collapsible, deployable structures. This design was developed by Jeremy Shafer. More on the mathematics of how flashers work here.
no. 08
Rotating Cam with Arm
This structure demonstrates how ideas from mechanical engineering might be adapted to paper engineering. The user turns the wheel to engage an oblong-shaped cam. Because of the unequal geometry of the cam, the mounted arm animates in an exaggerated and unexpected fashion. Adapted from David Carter's The Elements of Pop-up.
no. 09
Two-Blind Reveal
Dissolve
This form simplifies the traditional Venetian Blind structure down to a simple, two-layered structure. Adapted from David Carter's The Elements of Pop-up.
no. 10
Linear to Rotary Movement
This pull-tab structure may either be hand-operated or be propelled by the motion of opening and closing a book. It is strong and produces as much as 80 degrees of rotary motion. Adapted from David Carter's The Elements of Pop-up.
no. 11
Percussive Object
Noisemaker
Serrated edges moving through flaps produces differing tempos of percussive. It is strong and produces as much as 80 degrees of rotary motion. Adapted from David Carter's The Elements of Pop-up.