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Using nothing more than thin black tape in combination with his keen observation and understanding, Darel Carey creates line sequences in varied configurations in order to create an illusion of dimension that he calls "Dimensionalization". Two dimensions can be perceived as three, and vice versa.

ZAS Architects,The Lassonde School of Engineering, and York University, have collectively designed an technological integrated structure that allows for no lecture halls, fewer classrooms and a project-based learning environment. Bergeron Centre for Engineering Excellence has a bold and cloud-like architecture.

Researchers from Switzerland's ETH Zurich university will use robots and 3D printers to design and build a pioneering three-storey house at a local research and innovation campus. Eight professors from ETH Zurich are working with business partners to build the DFAB House.

In this video by Ahmad Rafsanjani you can see snapping mechanical metamaterials under tension. The response of highly deformable architectures can be programmed to impart a series of desirable functionalities, such as extraordinary geometric changes and conformational rearrangements.

Gigantic tree-like columns support the overhanging roof of the Qatar National Convention Centre by Japanese architect Arata Isozaki. The building was designed by Arata Isozaki to reference the Sidrat al-Muntaha, a holy Islamic tree that is believed to symbolise the end of the seventh heaven.

In collaboration with microsoft research, artist-in-residence jenny sabin has designed the ‘ada’ installation for the tech company’s redmond campus. The work takes its name from ada lovelace, mathematician who is often credited as one of the first computer programmer.

New York City-based design studio Hypersonic teamed up with Plebian Design to create a standalone system of 804 orange spheres which rise and fall in a concerted visual representation of how, within the perceived chaos of data sets, natural patterns eventually reveal themselves.

Mandelbrot set, a famous fractal that is a badge of honor for mathematicians. One way of defining the Mandelbrot set is by looking at how complex functions behave under repeated iteration.

UGears is the creator and manufacturer of unique self-propelled mechanical model kits designed for self-assembly without glue and made entirely of high-grade wooden material.

In Kouhei Nakama’s production, Diffusion, programming is used to generate patterns on a human form. The central question is “Why do humans not have patterned skin like animals?”. To explore this concept, Nakama implements reaction-diffusion algorithms to generate patterns that resemble those found in plants and animals. 

This spinner toy by Mozi slips over your arms and spins in mesmerizing patterns across it. Roll it from arm to arm or friend to friend. Then, once it’s made its rounds, just fold it flat by turning it counterclockwise between your hands. Its smooth, caterpillar-like movement works best on bare skin. 

Henry Segerman is putting a new spin on the subject with his emphasis on mathematical art. Instead of teaching math the old-fashioned way (i.e. boring old pen and paper), Segerman makes use of 3D printing videos to illustrate how mathematical concepts like geometry and symmetry work.

This unique, round table is capable of expanding to up to double its size, without taking up unnecessary space. It has been built on a system that contains expandable Leaves within, which gives you the chance to make the most out of the available space.

To Lauren Ko, pies are more than just food. The Seattle-based, 31-year-old baker says she is "more an artist and designer than a baker." The only difference is that her medium is edible. Ko is known for her colorful, geometric designs that toss out traditional baking conventions.

In this video by Hamed Rahnama you can see a GIRIH puzzle, a 10 Pointed Star pattern. Girih tiles are a set of five tiles that were used in the creation of Islamic geometric patterns using strapwork (girih) for decoration of buildings in Islamic architecture.

This tutorial by I See Arts explains how to draw equilateral triangle with straight lines pattern creates geometrical triangles inside a circle.

Giuseppe Ridolfi and Arman Saberi's students at The University of Florence designed an interactive smart facade using Rhinoceros 3D, Grasshopper 3D and Kangaroo Physics.

This video by Softology is about 3d cellular automata. Visions of Chaos is a professional high end software application for Windows. It is simple enough for people who do not understand the mathematics behind it, but advanced enough for fractal enthusiasts to tweak and customise to their needs.

TETRO+A and WHITEvoid present its immense light structure ‘STALACTITE’ which floats above the audience of the bright brussels festival 2018 in belgium. it invites to ‘switch off’ the irrelevant and concentrate on the bliss of the pure audio-visual statement.

Researchers at the University of Michigan have created a topological metamaterial that allows the material to switch between being hard as steel and soft as rubber. The researchers discovered a way to compose a metamaterial that can be easily manipulated to increase the stiffness of its surface by orders of magnitude— the difference between rubber and steel.

Paul Robinson has been working on  a universal bracket that can be used not only for any frequency geodesic dome but many other structures as well. A single universal bracket that can join any number of struts at any angle.

This video by PhysicsFun would show you 3 minutes of oddly satisfying scientific curiosities feauturing various engines with candles, ferrofluid toys, kinetic art that uses physics, optical illusions, various forms of dices, math toys/shapes and more mindblowing stuff!

Transforming furniture refers to a broad category of products and home furnishings that have more than one practical function. This can range from something as simple as a sofa bed or an extension table to more hyper-functional pieces such as our wall beds or modular home offices.

The project Mobile Robotic Fabrication System for Filament Structures by Maria Yablonina, demonstrates a new production process for filament structures. It proposes multiple semi-autonomous wall climbing robots to distribute fiber filament, using any horizontal or vertical surface.

RFly, a drone-based wireless system that was designed by MIT researchers can scan and locate items in warehouses. The system leverages cheap, battery-free RFID (Radio Frequency Identifier) stickers, which are attached to every item in the warehouse similar to barcodes.

Diller Scofidio + Renfro worked in close collaboration with Arup on the design of The Broad, helping showcase a “veil-and-vault” concept. This concept removes the normal museum archive and storage area as a place where items go to never be seen again.

Gyroscopes can often seem to defy the laws of physics. However, these devices actually serve as perfect examples of several laws of Physics and play important roles in some of technology's biggest breakthroughs.

Affectionately named The Friendly Alien, by its designers Peter Cook and Colin Fournier, the Knusthaus Graz was built for the European Cultural Capital 2003 activities in Graz, Austria.

In this video by Cutoutfoldup you can learn to make mathematical surfaces using bubble solution and wire. In mathematics, a surface is a two-dimensional manifold.

Following a seven month design competition with submissions from the world’s leading architecture firms, the National Media Council of the United Arab Emirates (UAE) selected Santiago Calatrava’s proposal for the UAE Pavilion at the Dubai World Expo 2020.

This pavilion by Milad Showkatbakhsh, Chritopher Testa, Chris Yu and Shayna Cooper explores the limits of composite aluminum panels. With the use of parametric modelling and digital fabrication, a unitized panel system was designed that aggregates to operate as a larger system of surfaces. lets you upload and display your Grasshopper definitions online for free*, along with their parameters. Once uploaded, the system makes sure anyone in the world can access and edit your definition's parameters via a web browser, while your scripts remain private and safe on servers located inside the EU.

Arthur Blank, the owner of the NFL’s Atlanta Falcons and MLS’s Atlanta United, wanted Mercedes-Benz Stadium to provide an architectural icon for the city and a fan experience that is second to none. HOK’s design reimagines what a stadium can be, creating a building that looks and functions like no other and that transforms the experience of going to a live event.

Two towers weighted with pendulums create elaborate ink spirograph images in ‘drawing machine’, by swedish-born, copenhagen-based designer eske rex, was on display at the mindcraft 11 exhibit of danish craft during milan design week 2011.

What if a table or a bridge could build itself? If researchers at the self-assembly lab at MIT have their way, parts will someday put themselves together. In This article Skylar Tibbits explains what a self-assembling future could look like.

Stone PolySphere installation, designed by Maurizio Barberio and Giuseppe Fallacara (New Fundamentals Research Group), investigates the potential of digital fabrication applied to the stone industry. Stone PolySphere is a lithic sphere with a diameter of 1.4 meters, composed by a massive hemisphere below and a stereotomic hemisphere above.

Designed by the Mediated Matter research group at the MIT Media Lab in collaboration with Prof. Fiorenzo Omenetto (TUFTS University) and Dr. James Weaver (WYSS Institute, Harvard University), The Silk Pavilion explores the relationship between digital and biological fabrication on product and architectural scales.

The research team at the Institute for Computational Design (ICD) and the Institute of Building Structures and Structural Design (ITKE) have taken morphological inspiration from the structure of the sea urchin and the sand dollar, both sea-bed invertebrates, to create what almost bears semblance to a floating bee hive, in a team combining architects, engineers, biologists, and palaeontologists.

Katia Bertoldi of Harvard held a holey plastic metamaterial that looked like a pink Connect Four board, with a regularly repeating arrangement of holes. When squeezing the material, some holes became horizontal ovals, as you would expect in an ordinary material.

In this video by Boss Laser you can see how to make a rigid material flexible using your laser cutter. There is a way to use laser cutting to create 3D objects from flat materials, and it uses a clever design element called a Lattice or Living Hinge.

Ahmad Rafsanjani and Damiano Pasini of McGill University in Montreal, set out to create a new class of futuristic materials that grow when stretched and get their abilities from the geometries of ancient Islamic art. They could be useful in medical devices and satellites.

A completely new geometric shape has been discovered by a group of researchers looking into the dynamics of cells that contribute toward the embryonic development and lead to the formation of human organs. Lehigh University professor, Javier Buceta, helped discover this geometric shape— the scutoid. 

A team of MIT researchers has designed a breathable workout suit with ventilating flaps that open and close in response to an athlete’s body heat and sweat. These flaps, which range from thumbnail- to finger-sized, are lined with live microbial cells that shrink and expand in response to changes in humidity.

1:1 prototypes (Spring 2012) conducted by Jelle Feringa at the Hyperbody research group of the Faculty of Architecture, TU Delft, Netherlands, invited Matthias Rippmann to teach about designing funicular shells with RhinoVAULT. rV was used for the design of the exciting cut-foam pavilion resulting from the 2 week design-build digital fabrication workshop.

This is a 4D printing video by Pranavee M of 4D printing in action. 5 videos put together showing tests from MIT Self assembly laboratory demonstrating the functionality of shape transformation. Flat-printed structures that, once placed in hot water, slowly folds themselves into another structure.

A multidisciplinary team of Wyss Institute scientists, engineers, and architectural designers at Harvard University are developing Origami Organs that could function like artificial kidneys.

In this video by NOVA PBS Official you can see that biology and the physical world around us appear to be governed by origami-like patterns. Throughout our natural world, patterns are incredibly pervasive — whether they be spirals, fractals, tessellations, stripes, or even simple symmetry, they can be seen in nearly all living or nonliving things on Earth.

What is Tessellation? An educational video animation by M. C. Escher inspired Tessellation Art, which explains the basic principles behind tessellating shapes and patterns. It shows a simple visual demonstration of tessellating triangles, squares and hexagons.

Fold finding - a novel approach to folded structures - This project, created by Architect Tal Friedman, describes the design and fabrication process of the first self supported folded cantilever made entirely by folding sheets into their final position. 

This video is a lesson by Eric Broug, animation by TED-Ed. Geometric pattern design is arguably the most recognizable form of Islamic art — it shows up everywhere, from mosques to government buildings to paper.

Quadrature is a audio/visual performance project by Griduo* in collaboration with Due3* that interacts with the perception of santralistanbul Art and Culture Center’s Main Gallery building located in Istanbul/Turkey.

A team of researchers from the Georgia Institute of Technology has developed a way to use 3-D printers to create objects capable of expanding dramatically that could someday be used in applications ranging from space missions to biomedical devices.

Polish designer Oskar Zieta has created a public sculpture in Wrocław using an inflated steel technique he plans to use for larger works of architecture. The Nawa pavilion is installed on Daliowa, one of many small islands in the Oder River where it runs through Wrocław.

This video from Two Minute Papers is about auxetic materials. Auxetic materials are materials that when stretched, thicken perpendicular to the direction we're stretching them. In other words, instead of thinning, they get fatter when stretched.

Things aren’t always what they seem . . . or are they? Extreme close-ups often obscure the full picture. Cloaked in mystery, this new video introduces a variety of objects and moments — found at MIT — that invite you to take a second look.

Sebastian Errazuriz Studio is creating a series of kinetic sculptures that focus on interactive furniture. With his functional sculpture projects, Errazuriz is rethinking the everyday and "breaking open the box."

A team at the Wyss Institute and Harvard SEAS has developed a new microscale printing method to create transformable objects. These "4D-printed" objects go a step beyond 3D printing to incorporate a fourth dimension–time.

Hyundai Motorstudio Goyang is the largest automobile theme park in Korea, located about 40min northwest of Seoul. The highlight of the exhibition is the Design Area featuring a beautifully designed kinetic sculpture and a spectacular 360 degree film presentation for which designers have created multichannel sound and music.

By using this definition you can morph a 3d Module onto a surface. This definition uses Grasshopper's box morph and surface box. You can control the module's height and number of U, V distribution on the surface.

Researchers at MIT, Harvard University and Seoul National University have engineered a soft autonomous robot that moves via peristalsis, crawling across surfaces by contracting segments of its body, much like an earthworm. The robot, made almost entirely of soft materials, is remarkably resilient.