A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2021; you can also visit the original URL.
The file type is application/pdf.
Strongly involutive self-dual polyhedra
2021
Ars Mathematica Contemporanea
Preserved Fulltext
A polyhedron is a graph which is simple, planar and 3-connected. In this note, we classify the family of strongly involutive self-dual polyhedra. The latter is done by using a well-known result due to Tutte characterizing 3-connected graphs. We also show that in this special class of polyhedra self-duality behaves topologically as the antipodal mapping. These self-dual polyhedra are related with several problems in convex and discrete geometry including the Vázsonyi problem. (Javier Bracho),
doi:10.26493/1855-3974.2194.eab
fatcat:hf4swwujwvhzjk6u5skdcpbqiu