welcome to my website. this is where I share my research on geometry, polyhedra, geometry education, the history of mathematics, structural morphology, and visual computing. all the models shown here were created from scratch using 3D and algorithmic modelling software (Rhinoceros and Grasshopper); no pre‑existing models were used. some of the plane‑geometry material was developed in GeoGebra.

I am a researcher at the Centre for Studies Nuno Portas (formerly the Centre for Studies of Architecture and Urbanism) at the Faculty of Architecture, University of Porto, specialising in the history of science and geometry, especially polyhedral theory and its visualisation. my work explores historical relationships between architecture and mathematics and brings mathematics education into dialogue with advanced digital tools such as 3D and parametric modelling.

the images below link to recent studies. for more information about my work, click here, and feel free to write to me if you have any comments.

vera viana


Luca Pacioli’s rhombicuboctahedron: description, construction, and architectural reception

My article, Luca Pacioli’s Rhombicuboctahedron: Description, Construction, and Architectural Reception, has been accepted for publication in the Nexus Network Journal (DOI: 10.1007/s00004-026-00885-9).

The study examines the description, construction, and early architectural reception of Pacioli’s rhombicuboctahedron, with particular attention to its relation to Leonardo’s representations and to later claims about its use in architecture.

Once the publisher’s policy allows it, I will introduce the link here. in the meantime, please feel free to contact me if you would like a copy.


research on the Archimedean solids in the fifteenth and sixteenth centuries

article “Archimedean Solids in the Fifteenth and Sixteenth Centuries (2024)

research on Daniele Barbaro’s non-uniform polyhedra

webpage with STL files
book chapter
Bridges paper

other research projects

printer’s log
my models in sketchfab
chamfering the cube

topological interlocking (soon)
stellated dodecahedra
enclosing polyhedra

campanus’ sphere
quasiregular polyhedra
dual pairs

math and art seminar
spatial structures
expanding polyhedra

editorial projects