Artists

Manuel Diaz Regueiro

Artist

Math Teacher, Retired

Lugo, Galiza, Spain

mdregueiro2@gmail.com

galega.org

View exhibition history

Statement

In recent years, I've stumbled upon polyhedra. The truth is, I had Georg Hart and Rinus Roelof as role models, and, well, that's what I did, turning towards symmetry, guided by Bridges' conferences. I found it, so I'm a disciple of Bridges. I can create countless abstract, highly symmetrical, and beautiful works, but I also believe that mathematics, in polyhedra, offers a field where the study of symmetry stands out, as well as the loss of symmetry, as the ambo operation generally does. Studying how beauty is lost—or not—when an ambo is applied, classifying and tracing the genealogy of polyhedra through Conway operations can be a logical and consistent path for some of the Bridges attendees, myself included.

Artworks

Image for entry 'Ambo partial generalized'

Ambo partial generalized

20.0 x 20.0 x 20.0 cm

FDM (PLA)

2026

Additional info

If the original polyhedron contains several combinations of polyhedra (the same one repeated or several different ones), the ambo result can be a closed polyhedron. If we close it, the partial ambo works. This figure is a special case because the algorithm isn't just the partial ambo, but the ambo with some additional steps. In this case, it works and also produces a work that is repeated as the ambo of other polyhedra. Furthermore, the full ambo is much more convoluted and ugly. Therefore, I recommend generalizing the partial ambo to those that don't reach the full ambo but still result in a usable polyhedron. I put "exit" in the middle of the program and wait to see.