A new proof of the degeneracy property of the longest-edge n-section refinement scheme for triangular meshes

摘要

In this note, by using complex variable functions, we present a new simpler proof of the degeneracy property of the longest-edge n-section of triangles for n⩾4. This means that the longest-edge n-section of triangles for n⩾4 produces a sequence of triangles with minimum interior angle converging to zero.