Pournin, Lionel2010-03-232010-03-232010-03-23201210.1007/s00454-011-9375-3https://infoscience.epfl.ch/handle/20.500.14299/48605WOS:000298297500005It is shown that 2-dimensional subdivisions can be made regular by moving their vertices within parallel 1-dimensional spaces. As a consequence, any 2-dimensional subdivision is projected from the boundary complex of a 4-polytope.Polyhedral subdivisionsTriangulationsk-regularityWeak regularitySteinitz’s theoremFlip-graph connectivitytext::journal::journal article::research article