2D3Dpachner
Gluing a tetrahedron onto a single triangle in a 2D triangulated hypersurface (bounding some 3D bulk triangulation) is equivalent to a so-called 1-3 Pachner move in the 2D hypersurface. Pachner moves are an elementary class of moves (they only involve a fixed number of simplices) which are ergodic piecewise linear homeomorphisms (one can map between any finite triangulations of the same topology by finite sequences of these moves).
Gluing a tetrahedron onto a single triangle in a 2D triangulated hypersurface (bounding some 3D bulk triangulation) is equivalent to a so-called 1-3 Pachner move in the 2D hypersurface. Pachner moves are an elementary class of moves (they only involve a fixed number of simplices) which are ergodic piecewise linear homeomorphisms (one can map between any finite triangulations of the same topology by finite sequences of these moves).
Copyright OIST (Okinawa Institute of Science and Technology Graduate University, 沖縄科学技術大学院大学). Creative Commons Attribution 4.0 International License (CC BY 4.0).
