Abstract
The combination of digital and traditional methodologies in visualisation is an integral
aspect of architectural and design practice. This integration is particularly evident
in the generation of forms and shapes, from initial conception to realisation, facilitating
the interplay of diverse fields. These hybrid methods involve volumetric transformations
grounded in geometric principles, defining tools for generating and analysing shapes by
incorporating 3d modelling and advanced manufacturing techniques.
This paper critically reflects on the relationship between geometry and form development
by exploring the geometrical transformations of regular polyhedra. Using operative design
as a tool for spatial formation, a catalogue of shapes is generated to examine how their
combination can inform potential design processes. The physical and geometric qualities
of the objects produced are analysed using 3D-printed models, complemented by traditional
holographic representations. In particular, optical holography is employed as a
visualisation medium, offering dynamic and immersive perspectives and revealing the
complexity of geometric forms, engaging the viewer in a multidimensional experience.
This research highlights the fundamental role of geometry in architecture and design,
encouraging the development of a structured framework of geometric principles and
operations. This framework is designed to support iterative and dynamic design processes,
enhancing the understanding of spatial relationships and serving as a heuristic tool
for addressing the challenges of spatial complexity
aspect of architectural and design practice. This integration is particularly evident
in the generation of forms and shapes, from initial conception to realisation, facilitating
the interplay of diverse fields. These hybrid methods involve volumetric transformations
grounded in geometric principles, defining tools for generating and analysing shapes by
incorporating 3d modelling and advanced manufacturing techniques.
This paper critically reflects on the relationship between geometry and form development
by exploring the geometrical transformations of regular polyhedra. Using operative design
as a tool for spatial formation, a catalogue of shapes is generated to examine how their
combination can inform potential design processes. The physical and geometric qualities
of the objects produced are analysed using 3D-printed models, complemented by traditional
holographic representations. In particular, optical holography is employed as a
visualisation medium, offering dynamic and immersive perspectives and revealing the
complexity of geometric forms, engaging the viewer in a multidimensional experience.
This research highlights the fundamental role of geometry in architecture and design,
encouraging the development of a structured framework of geometric principles and
operations. This framework is designed to support iterative and dynamic design processes,
enhancing the understanding of spatial relationships and serving as a heuristic tool
for addressing the challenges of spatial complexity
| Original language | English |
|---|---|
| Pages (from-to) | 88-99 |
| Number of pages | 10 |
| Journal | Tribelon |
| Volume | 2 |
| Issue number | 3 |
| Early online date | 30 May 2025 |
| DOIs | |
| Publication status | Published - 9 Jun 2025 |