A mathematical proof of how fast the diameters of a triangle mesh tend to zero after repeated trisection

A mathematical proof of how fast the diameters of a triangle mesh tend to zero after repeated trisection Francisco Perdomo a,b, Ángel Plaza a,b,∗, Eduardo Quevedo c, José P. Suárez a,d a Division of Mathematics, Graphics and Computation (MAGiC). IUMA, Information and Communication Systems, University of Las Palmas de Gran Canaria (ULPGC), Spain b Department of Mathematics, (ULPGC), Spain c Department of Electronic and Automatic Engineering, ULPGC, Spain d Department of Cartography and Graphic Engineering, ULPGC, Spain