A new proof of the degeneracy property of the longest-edge n-section refinement scheme for triangular meshes. - Francisco Perdomo; Ángel Plaza (Appl. Math. Comput., 2012)

Proving the non-degeneracy of the longest-edge trisection by a space of triangular shapes with hyperbolic metric. - Francisco Perdomo; Ángel Plaza (Appl. Math. Comput., 2013)

A mathematical proof of how fast the diameters of a triangle mesh tend to zero after repeated trisection. - Francisco Perdomo; Ángel Plaza; Eduardo Quevedo; José P. Suárez (Math. Comput. Simul., 2014)

Corrigendum to "A new proof of the degeneracy property of the longest-edge n-section refinement scheme for triangular meshes" [Applied Mathematics and Computation 219 (4) (2012) 2342-2344]. - Francisco Perdomo; Ángel Plaza (Appl. Math. Comput., 2015)

Similarity Classes of the Longest-Edge Trisection of Triangles. - Francisco Perdomo; Ángel Plaza (Axioms, 2023)