@article{13270,
  abstract     = {Consider a geodesic triangle on a surface of constant curvature and subdivide it recursively into four triangles by joining the midpoints of its edges. We show the existence of a uniform δ>0
 such that, at any step of the subdivision, all the triangle angles lie in the interval (δ,π−δ)
. Additionally, we exhibit stabilising behaviours for both angles and lengths as this subdivision progresses.},
  author       = {Brunck, Florestan R},
  issn         = {1432-0444},
  journal      = {Discrete and Computational Geometry},
  number       = {3},
  pages        = {1059--1089},
  publisher    = {Springer Nature},
  title        = {{Iterated medial triangle subdivision in surfaces of constant curvature}},
  doi          = {10.1007/s00454-023-00500-5},
  volume       = {70},
  year         = {2023},
}