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During the construction of the university’s new engineering building, Cabeza-Lainez found that calculating the area of a roof with straight lines resting on a semicircle was impossible just by using pi. After 30 years of research, [he] published a paper about his discovery in ScienceDirect [...] Both articles present his proposal of a number psi (Ψ), with a value of 3.140923, close to pi but which can be applied to a versatile geometric form that he calls an antisphere. — El Pais
According to El Pais, mathematician and architect Dr. Cabeza-Lainez had to develop his own proprietary calculation software in order to prove the equation. He has also published a book on solar light transfer and says the application of psi in various forms can lower costs associated with... View full entry
Design Topology Lab founder and architectural educator Joseph Choma is back with a new pedagogical book called “Études for Architects”, which comes a few years after his acclaimed “MORPHING: A Guide to Mathematical Transformations for Architects and Designers”. If you're a new student... View full entry
Where you have curvature, you have scutoids — The New Yorker
Naming a fundamental shape that nature uses at 2018 AD is a credit long overdue. Now the shape architects use has a legitimate public name and official credibility and no longer be called weird. First living architect came to my mind was Frank Gehry. Yours? "Honestly, in the beginning, we... View full entry
It is not enough to just catalogue these [structures] in photos and videos, it is our aim to break down the logic of these patterns, and recreate them in code in order to make them more accessible and possibly allowing them to find new life in contemporary applications. By building an open source library, accessible to architects, artists, mathematicians, and software engineers, we can carry these patterns and traditions forward for future generations. — Metropolis Magazine
Lauren Connell (architect at BIG), Alexis Burson (associate at Pei Cobb Freed & Partners), and Baris Yuksel (Google senior engineer) share their architectural and computer engineering perspectives on Project Agama. The collaboration aims to document and digitally preserve the intricate... View full entry
[The Canadian mathematician James] Stewart was...an unlikely architectural trailblazer. He devoted many years of his life, and much of his income, to building his dream home in an upmarket Toronto neighbourhood. Integral House – named after the 'integral', a concept in calculus – is a shrine to calculus, the mathematics of flowing change. Stewart died last December, aged 73, and Integral House is now for sale at £11.4m [approx. $17.4 million] — The Guardian
More about mathematical design on Archinect:The Golden Ratio: Relevant or not?Mesmerizing Mosque Ceilings built by MuslimsWin a copy of MORPHING by Design Topology Lab founder Joseph Choma View full entry
It's bullshit. The golden ratio's aesthetic bona fides are an urban legend, a myth, a design unicorn. Many designers don't use it, and if they do, they vastly discount its importance. There's also no science to really back it up. Those who believe the golden ratio is the hidden math behind beauty are falling for a 150-year-old scam. — fastcodesign.com
Do designers ever follow the Golden Ratio? Is it even relevant in architecture? FastCo.Design writer John Brownlee voices his perspective on the old myth. View full entry
In Archinect's latest book giveaway, we received over 100 responses for MORPHING: A Guide to Mathematical Transformations for Architects and Designers. Authored by Design Topology Lab founder Joseph Choma, Morphing is a pedagogical guide that can help architects, designers, students, and... View full entry
MORPHING: A Guide to Mathematical Transformations for Architects and Designers is not your high school math coursebook. Authored by Design Topology Lab founder Joseph Choma, Morphing is a pedagogical guide that can help architects, designers, students, and whoever is interested in the topic to... View full entry
Roof structures of this size and complexity cannot be built without an explicit geometry that can be expressed mathematically. Without such a mathematical model, it is not possible to calculate the loads, stresses, and rotational forces to which the vaults will be subjected and to estimate the impact of wind and temperature changes on their stability. Parabolas and ellipses were Utzon's first choices for the profiles of the vaults, but neither provided a buildable option. — insidescience.org
This is the first research practice dedicated to the ontology of space defined by mathematics. — designtopology.com
