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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
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
Conway confirmed what several mathematicians have noticed since the station’s unveiling: the pattern on the façade follows the logic not of Conway’s Life but of Wolfram’s Rule 30, a different cellular automaton identified by the computer scientist Stephen Wolfram. — Quartz Media
Atkins designed £50m Cambridge North railway station, a 4,843 sq ft building with three platforms and parking, opened this May.Its aluminum façade was inspired by The Game of Life, a cellular automaton that a British mathematician John Horton Conway developed in 1970. Conway, nevertheless... 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
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
After seven years of teaching structures to a mixed group of architecture and structural engineering graduate students at MIT, Paul Kassabian found that many of his future architects took a just-enough-to-get-the-homework-done approach to understanding those fundamental components. So he created an app to help them out. — fastcodesign.com
This is the first research practice dedicated to the ontology of space defined by mathematics. — designtopology.com
