Soon, I will show here some of my studies on topological interlocked assemblies with convex uniform polyhedra, but, in the meantime, these are the research that I have published so far on the subject:

• Viana (2021). Towards a systematic approach of topological interlocked assemblies of polyhedra. In Kim Williams & Cornelie Leopold (Eds.) Nexus 20/21 Architecture and Mathematics Conference Book. Turin: Kim Williams Books. 295-300.
• Viana, V. (2018). From Solid to Plane Tessellations, and Back. Kim Williams & Michael Ostwald (Eds.). Nexus Network Journal, 20(3). 741-768.]
• Viana, V. (2018). Topological Interlocking of Convex Regular Polyhedra. In Cornelie Leopold, Christopher Robeller e Ulrike Weber (Eds.). RCA 2018 Research Culture in Architecture. International Conference on cross-disciplinary collaboration. Kaiserslautern: FATUK. 254-257.

Suggested reading:

• Leopold, C. (2021). Geometric and Aesthetic Concepts Based on Pentagonal Structures. In: Sriraman, B. (eds) Handbook of the Mathematics of the Arts and Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-57072-3_20