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 energy consumption by 50%.
He shares with Raúl Limón of El Pais that the new equation can be applied to “a downspout, to a network of pipes, to an earthquake-resistant tower, to 150-foot [50-meter] ships without using columns, even to biotechnological devices” that he's tested through models made with 3D printers. Rail network tunnels are one potential target for its use. “I don’t yet know all of the potential applications,” he told the paper. “I come up with a new one every day.”
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