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The concept Rheotomic surface’s was developed by Daniel Piker and involves the mathematical generation of ‘walkable’ interconnected surfaces. With ‘Rheo’ from the Greek for flow and ‘Tomos’ meaning cut or section these surfaces make an equivalence between the geometry of the helicoid surface ad the vortex in Laplace’s equation.

This article describes a minimal surface which is a surface that locally minimizes its area (or having a mean curvature of zero). The classical minimal surfaces of H.F. Scherk were initially an attempt to solve Gergonne’s problem, a boundary value problem in the cube.

The Yorkshire Diamond has a very particular structure with inflatable tubes forming a diamond-lattice structure, forming a box with an excavated interior, which allows for different configurations. This project is running up for the Yorkshire Renaissance Pavilion competition.

Artist collective Numen creates giant web installations from tape or string that are strung up in museums around the world for visitors to interact with.

The ICD Aggregate Pavilion 2018 presents the latest results of 10 years of research into designed granular materials for architecture. It constitutes the first fully enclosed architectural space entirely constructed from designed granules, which lie only in loose frictional contact.

Murmuration project is the 2350 square-foot mesh canopy responds to Atlanta’s reputation as the ‘city in a forest’ and reacts to its relationship with the natural world. The sculptural structure, which includes bird feeding stations and perches, also reflects upon the loss of billions of birds in recent decades.

The Polish Pavilion for Expo 2020 Dubai is a nod to the country's natural landscapes representing an essential part of Polish identity. Through a modular structure enveloped by a kinetic sculpture resembling a flock of birds, the project references the idea of mobility while showcasing the natural connection established by bird migration between Poland and UAE.

The tensile structures are the solution to cover large areas of complex shape by minimizing the materials used. In tensile structures, materials are used efficiently. Thanks to specific supports, on existing buildings or through cable-stayed poles, it is possible to tension a membrane which, due to the “double curved” shape, will support external loads such as wind and snow and allows to cover large spans at very competitive price compared to standard building technology, an iconic aesthetic result and a reduced environmental impact.

Catenary Compression’ is a research project with light block construction that conventionally operates in compression. The design team set out to build a structural catenary relieving the ground from any physical contact.

The constant development of state-of-the-art projects is the fruit of our exceptional experience combined with a great technical know-how. Textile architecture opens up unimagined possibilities allowing to create building sculptures, organic shapes, light roofs or draw attention to spectacular facades with advanced properties in an economical, environmentally friendly and sustainable way.

The Graz Art Museum is designed by London based architecture Peter Cook and Colin Fournier. The aesthetics of the building follow the peculiar architectural school known as “blob architecture” or “blobitecture”, based on organic shapes, blobitecture is expressed through unique buildings that resemble the shape of protozoa organisms such as the amoeba.

This video from Veritasium is about Penrose Tiling. Simple rules of geometry meant that 5-fold symmetry was impossible as were crystals without a periodic structure. This turns out to be wrong.

This video is about designing a strong shelf brackets that hold a 300mm deep shelf board and it’s designed by topology optimization.

This video is about Bionic Vault Structures called Powerstruct. These hexagonal structures, which is found naturally in turtles or honeycombs, have become an integral part of industrial processes.

Dr. Mirtsch Wölbstrukturierung GmbH develops and produces lightweight structures of thin-walled materials for innovative applications. The patented vault-structuring technique is based on an unique principle of bionic self-organization and is therefore particularly gentle to materials and surfaces.

This paper by Mostafa Zahri present a new model for simulating an interesting class of Islamic design. Based on periodic sequences on the one-dimensional manifolds, and from emerging numbers, we construct closed graphs with edges on the unit circle.

This Paper by Mark Beecroft of the Manchester Metropolitan University School of Art, has been exploring the potential of 3D printing in industrial knitting.

This video by Negar Kalantar is a path to achieving profound knowledge about the conception and realization of motion in architecture.

This video by Numberphile is about strange dot patterns. A dot pattern is a pattern made up of numerous dots or circles.

The King Fahad National Library sees Professor Eckhard Gerber and his Gerber Architekten team accomplishing one of the most important urban development and cultural projects in the capital of the Kingdom of Saudi Arabia, Riyadh.

The Canton Tower by Information Based Architecture, is Guangzhou’s most important new building and will represent the 10 million inhabitants counting metropolis as a cool, progressive and exciting city.

The Beijing National Stadium designed by Jacques Herzog and Pierre de Meuron, located at the south of the centerpiece Olympic Green, is a stunning landmark building that staged the 2008 Olympic Games from 8 August to 24 August 2008.

Chhatrapati Shivaji International Airport at Mumbai designed by Skidmore, Owings and Merrill that is simultaneously contemporary and rooted in the country’s traditional expressions.

New York design studio The Very Many has built a white orbed pavilion in Charlotte, North Carolina with bulbs shaded soft blue and pink inside.

The Shed’s Bloomberg Building, designed by Diller Scofidio + Renfro, Lead Architect, and Rockwell Group, Collaborating Architect, is an innovative 200,000-square-foot structure that physically transforms to support artists’ most ambitious ideas.

The 25-meter-high Marsk Tower by Bjarke Ingels Group (BIG) is topped with a viewing platform where visitors can enjoy uninhibited views of marshlands, Denmark’s popular National Park.

The longhouse by Mass Timber Design, is a building type common to historic settlements across the world and through history, finding use in the Americas, Asia, and Europe.

The Sound That Light Makes by Australian artist Alexander Knox forms the exterior screen to the newly developed 300 George Street precinct in Brisbane, Australia.

Corollaria Railing by Jessica Rosenkrantz is a railing that acts as a sculptural element winding through the space. This algorithmically-generated, lasercut steel railing is the largest piece of art we’ve ever made.

Corollaria Jewelry is an algorithmic jewelry collection by Nervous System, composed of intricate lattice structures in brass and rubber.

In this project, ITKE designed the freeform facade to demonstrate the structural properties of a new bioplastic developed specially for use in the construction industry.

These projects were made by deployable structures that are physical mechanisms that can easily transition between two or more geometric configurations.

These projects made by Voronoi diagram which inspired from nature, is a system that divides the space into sub-spaces in an organic way. The diagram uses points to create cells that surround these points.

This office tower by British-Israeli designer and architect Ron Arad, has completed in Tel Aviv "inspired by an iceberg" with an angular glass exterior that widens in the middle.

This project by Sou Fujimoto architects, Nicolas Laisné, Dimitri Roussel, and OXO architects, was designed for the city of Montpellier’s contest for “Folies architecturales” to add interest and enhance neighborhoods around the Mediterranean city.

This project by Bjarke Ingels Group (BIG), presents the tallest building along the Vancouver’s skyline at 151 meters which it’s undulating profile seems to twist upwards from its’s triangular base and gradually growing into a rectangular geometry that rises above downtown.

This project by Chinese architecture studio “MAD”, has designed a library in the city of Haikou, China, that is intended "to be a wormhole that transcends time and space".

This project by Jesse Louis-Rosenberg, Introducing Floraform, the latest generative design system from Nervous System.

This project by Zimarty Launches, searching for new 3D printed jewerly inspired by the Hilbert curve.

This project by Denis Hitrec and Eike Schling, searching for methods to simplify the construction of double curved surfaces.

A reciprocal frame (RF) is a self-supporting structure made up of three or more sloping rods, which form a closed circuit, namely an RF unit.

Tension by StructureMode is a lightweight pavilion with a tensegrity ring and a tensile fabric membrane. The sinuous geometry used for Tension provides a minimal base on three points, formed of three arches and three valleys to support an anticlastic fabric surface.

Exhibited on the largest LED screen that NGV has deployed to date, Quantum Memories is Refik Anadol Studio’s epic scale investigation of the intersection between Google AI Quantum Supremacy experiments, machine learning, and aesthetics of probability.

An international team of architects and fine carpenters in collaboration with the Finnish National Museum brings modern architecture into the Seurasaari open air museum in Helsinki, Finland, for the summer of 2017.

Studio Samira Boon presents its HORTUS BIONICA series, seeking to cultivate a healthy indoor environment that adapts to the needs of its occupants like a living ecosystem. the first two ‘sprouts’ of the new product series are entitled: sonic blossom and proxi flower.

The "Rain Water Catcher," by Nuru Karim, Nudes, a design proposal for an iconic tower in San Jose aims to address the global impact of climate change by advocating the need for water conservation towards the reduction of carbon footprint.

The technology of the dynamic/dancing wall is presented as an installation and was first shown at the BIF architectural festival in Moscow. The architects faced the task of tying together the theme of the Theater year in the Russian Federation and the theme of Love.

Timescapes by AIRLAB, is a 3D printed pavilion that commemorates the 10th Anniversary of the Singapore University of Technology and Design. The form of the capsule represents the cyclical nature of time: a periodic surface peels from the ground.

String art or pin and thread art, is characterized by an arrangement of colored thread strung between points to form geometric patterns or representational designs such as a ship's sails, sometimes with other artist material comprising the remainder of the work.

Since 2001, McConnell Studios has created custom designed elements for public, commercial, and residential clients with the goal of enhancing the environments.

Taking cues from the principles of the Hoberman sphere and how it contracts and increases in size, Erik Stehmann‘s ‘Expanding Lamp’ has the ability to enlarge from a desk to standing floor version through the simple push and pull of its components.

Have you ever seen a building that breathes through thousands of pores? That may now be a possibility thanks to Tobias Becker’s Breathing Skins Project. Based on the concept of biomimicry, the technology is inspired by organic skins.

The project Shapes of Sweden was developed for the Volvo Design Challenge that Lilian van Daal won in 2015. For this challenge she dived into the Swedish environment and the brand proposition of Volvo.

Permanently installed in the greater columbus convention center, columbus, ohio, ‘as we are’ by Matthew Mohr is the first of its kind but others can be installed anywhere else in the world.

Loop.pH realized the first version of Sonumbra ( 2006) as a responsive play space in Mowbray Park, Sunderland. It is designed to respond to the interplay and activity of the people orbiting the umbrella.

Kinect Silhouette Reaction-Diffusion, Silhouect, is an experiment by CacheFlowe with a cheap reaction-diffusion technique which turned into a traveling interactive art piece.

A full-scale prototype for a droneport designed by Foster+Partners built on site in the Arsenale in Venice, was unveiled at the 15th International Architecture Biennale. The droneport prototype is the first project to be presented by The Norman Foster Foundation.

The Spatial Structures 2020/21 Conference will be the first ever IASS Symposium to be held fully virtually. Join the Conference on 23-27 August 2021.

Ghostcube by Erik Åberg is a sculpture inspired by moving origami. It consists of cubes connected in a three-dimensional structure. You can manipulate it to change shapes in different ways.

This design by Pablo Esteban Zamorano, Nacho Martí and Jacob Bek, manifested into a small meeting room-pavilion that explores complex geometries generated from plywood sheets.