#structured geometry

[sref-favorites]

[garadinervi]

James Thrall Soby (photograph), Alexander Calder with 'Steel Fish', Roxbury, CT, 1934 [© Calder Foundation, New York, NY / ARS, New York]

[chasingrainbowsforever]

~ Texture | Pattern | Design ~

[t13shoots]

[geometrymatters]

The geometry of the Borromean Rings

Borromean rings are a captivating geometric structure composed of three interlinked rings. What makes them unique is their interdependency; if any one ring is removed, the entire structure collapses. This fascinating property, known as "Brunnian" linkage, means that no two rings are directly linked, yet all three are inseparable as a group. This intricate dance of unity and fragility offers a profound insight into the nature of interconnected systems, both in mathematics and beyond.

Borromean Rings and Mathematical Knots

Borromean rings also find a significant place in the study of mathematical knots, a field dedicated to understanding how loops and tangles can be organized and categorized. The intricate relationship among the rings provides a rich visual and conceptual tool for mathematicians. Knot theorists use these rings to explore properties of space, topology, and the ways in which complex systems can be both resilient and fragile. The visual representation of Borromean rings in knot theory not only aids in mathematical comprehension but also enhances our appreciation of their symmetrical beauty and profound interconnectedness.

Symbolism and Divinity in Borromean Rings

Throughout history, Borromean rings have been imbued with symbolic significance, often associated with divinity and the concept of the trinity. In Christianity, they serve as a powerful visual metaphor for the Holy Trinity – the Father, the Son, and the Holy Spirit – illustrating how three distinct entities can form a single, inseparable divine essence. This symbol is not confined to Christianity alone; many other cultures and religions see the interconnected rings as representations of unity, interdependence, and the intricate balance of the cosmos.

Borromean Rings as a Metaphor for Illusory Reality

Beyond their mathematical and symbolic significance, Borromean rings offer a profound metaphor for the nature of reality itself. They illustrate how interconnectedness can create the illusion of a solid, stable structure. This resonates with philosophical and spiritual notions that reality, as perceived, is a complex web of interdependent elements, each contributing to an overarching illusion of solidity and permanence. In this way, the Borromean rings challenge us to reconsider the nature of existence and the interconnectedness of all things.

[vanpeltfoto]

The new buildings are what they are...

(Photo: d.)

[materialsscienceandengineering]

In a new study, Yale researcher Alison Sweeney found that giant clams in the Western Pacific may be the most efficient solar energy system on the planet. Solar panel and biorefinery designers could learn a thing or two from iridescent giant clams living near tropical coral reefs, according to a new Yale-led study. This is because giant clams have precise geometries -- dynamic, vertical columns of photosynthetic receptors covered by a thin, light-scattering layer -- that may just make them the most efficient solar energy systems on Earth. "It's counter-intuitive to a lot of people, because clams operate in intense sunlight, but actually they're really dark on the inside," said Alison Sweeney, associate professor of physics and of ecology and evolutionary biology in Yale's Faculty of Arts and Sciences. "The truth is that clams are more efficient at solar energy conversion than any existing solar panel technology."

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[lo-he-olvidado]

📍 Iglesia del Perpetuo Socorro, Medellín, Colombia.

📷 L. Jurado.

[xponentialdesign]

Structure in progress v2 // 300 frames // freq(0.7) 50 FPS inspired by 2ᴺᴰ generation #OpArt master Jean-Pierre Yvaral (1934-2002)

[cklein-studio]

Charles Klein

[visualcontinuum]

.364.

[garadinervi]

James Turrell, Carn, (graphite on ivory perspective tracing paper), 1967 [The Art Institute of Chicago, Chicago, IL. © James Turrell]

[raffaellopalandri]

Photography of the Day - Structure #2

At the Train Station in Fürth Structure #2 – Photography by Raffaello Palandri

[yerennoyokai]

[sadnessmade]

🖤

[lo-he-olvidado]

📍 Medellín, Colombia

📷 L. Jurado.

Retomando, de vuelta a mi hobbie favorito.

✨ Tomarle fotos a edificios bonitos ✨