
Kirigametry
Transforming Waste into Geometric Art Using Kirigami Algorithms
Geometric Computaion, Folding Algorithm
Note*: The project was a collaborative effort with distinct contributions from each team member. Shuhan Miao implemented the folding algorithm. Lingbo Li was responsible for running simulations in Grasshopper to analyze and visualize the folding outcomes. Henry Chung conducted physical experiments, translating the digital simulations into tangible prototypes.
💡
How can a Kirigami-based algorithm make use of leftover sheets and enable new geometric transformations?
The project addresses the critical issue of material waste in architectural model construction, a prevalent concern in architectural education and design. It primarily focuses on promoting the sustainable reuse of various materials – ranging from single-use final models and intricately crafted scaled furniture to partially used resources. This initiative is rooted in the principle of sustainability, emphasizing that materials deemed as waste for one project can become valuable resources for another. Central to this project is the implementation of a Kirigami algorithm, inspired by an academic paper, to create a bounding hexagon that optimally fits random cuts [1]. This is achieved by accurately detecting the location of each edge point and minimizing the area wasted. The algorithm is designed to integrate the hexagon within a background triangular grid, subsequently generating a crease pattern that delineates mountain and valley folds. This pattern is pivotal for facilitating further simulations using the Kangaroo physics engine. The tangible outcomes of this project are physical demonstrations that vividly illustrate the transformation of flat materials into complex geometrical forms. These demonstrations reveal how origami folding techniques can resolve curvatures induced by the cuts, thereby generating intricate geometric complexity. Extending beyond theoretical exploration, the project also includes the practical application of these surface prototypes to a bag design.

Folding Prototypes and Corresponding Simulation by Grasshopper (by Lingbo Li)

Implemented Kirigami Algorithm in Grasshopper
Physical Experiments
After extensive simulations and physical experiments, we identified two distinct surface prototypes with unique geometric characteristics: the barrel and waterbomb origami patterns. The barrel-based surface is characterized by its intricate geometric complexity, where the undulating form dynamically responds to the specific location and size of the cuts. Our physical demonstrations reveal a spectrum of variations within the barrel-based surfaces, showcasing their versatility. In contrast, the waterbomb-based surface adeptly absorbs geometrical deviations caused by closing the holes, maintaining its form with minimal impact on surrounding areas. For our bag design, we opted for the barrel-based surface typology, aiming to infuse the product with both geometric intricacy and aesthetic appeal. This choice allows the bag to not only function as a practical accessory but also stand out as a piece of wearable art, exemplifying the fusion of structural ingenuity and design elegance.

Surface Prototypes (by Henry Chung)

Application on Bag Design (by Henry Chung)
Toen Castle et al. , Additive lattice kirigami.Sci. Adv.2,e1601258(2016).DOI:10.1126/sciadv.1601258