Knot theory, and architecture /design / engineering?

[Dante Monson]

In addition to approaches such as, for example, Tensegrity, I am curious what role knots, and knot theory, could play in designing and building - modular - spaces

https://en.wikipedia.org/wiki/Knot_theory

https://youtu.be/8DBhTXM_Br4?si=MoX2Jq6avGCcNuBj

Perplexity AI : 

The concept of biomimicry knots in modular building design draws inspiration from natural knots in plants and animal skeletons, creating interlocking components for robust structures. This approach mirrors the intricate molecular knots in nucleic acids, enabling the construction of complex topologies from single-stranded DNA or RNA chains[1]. By emulating nature's efficiency, engineers develop lightweight, strong materials like those inspired by the Venus flower basket's cellular architecture[2]. This biomimetic strategy not only enhances structural integrity but also reduces environmental impact by using fewer raw materials[3].

Citations:

[1] Programming molecular topologies from single-stranded nucleic acids https://www.nature.com/articles/s41467-018-07039-7

[2] Mimicking This Tiny Glass Sponge For Stronger, Lightweight Modular ... https://www.youtube.com/watch?v=5b4uSdqcbX0

[3] A Modular Car Body for Sustainable, Cost-Effective, and Versatile ... - MDPI https://www.mdpi.com/2227-7080/9/1/13

[4] Gabriel Sanabria on LinkedIn: How Bio-Inspired Packaging Can ... https://www.linkedin.com/posts/gabriel-sanabria-718578176_maximum-freshness-how-bio-inspired-packaging-activity-7066633350525947904-hNLZ?trk=public_profile_share_view

[5] (PDF) How to Build a Biological Machine Using Engineering ... https://www.academia.edu/62557541/How_to_Build_a_Biological_Machine_Using_Engineering_Materials_and_Methods?hb-sb-sw=90961614

Gemini: 

Weaving and knot theory techniques have found inspiration and application in architecture and engineering in fascinating ways. Here's a breakdown of how these concepts are used:

**Weaving:**

* **Conceptual Inspiration:**  The idea of woven structures, where elements interlace to create a whole, has influenced architects like  **Lars Spuybroek**.  His concept of "textile tectonics"  draws on weaving patterns to inform building shapes  [1]. 

* **Structural Applications:**  Woven forms can be surprisingly strong.  Architects are exploring  using  woven materials like bamboo or carbon fiber composites  to create lightweight yet  structurally sound buildings. 

**Knot Theory:**

* **Design Inspiration:** The complex geometries of knots can be a source of inspiration for  architects looking for unique and  visually striking  designs.  The  interconnectedness  of knots can also  reflect  the  interdependence  of different  building components.

* **Structural Applications:**  Knot theory  has some  practical applications in architecture  as well.  Understanding  the  strength and stability  of different knots can be  helpful  in designing  tension  structures  like cable-stayed bridges or  suspension roofs.   

Here are some additional points to consider:

* **Digital Tools:**  Advanced  digital modeling  software allows architects and engineers to  explore  complex woven and knotted forms  with greater ease,  facilitating  the  translation of these ideas  into  constructible designs.

* **Historical Influence:**  Traditionally,  woven elements  have been used in  building  for  centuries  in  various cultures.  Think of  half-timbered houses  or  woven  bamboo  structures.   The  reintroduction  of these techniques  with  modern  materials  creates  a fascinating  fusion  of  tradition  and  innovation.

Overall, weaving and knot theory offer a rich source of inspiration and practical applications in architecture and engineering.  As these fields continue to develop, we can expect to see even more innovative uses of these concepts in the future.