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why MeshRegion[] introduces additional (useless) edges in the construction of polyhedra:

surf=Dodecahedron[];
vlist=#&@@@MeshCells[surf,1];
Graphics3D[Line[MeshCoordinates[surf][[#]]]&/@vlist]

enter image description here

surf=MeshRegion[Dodecahedron[]];
vlist=#&@@@MeshCells[surf,1];
Graphics3D[Line[MeshCoordinates[surf][[#]]]&/@vlist]

enter image description here

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    $\begingroup$ MeshRegion is building a volume mesh filled with Tetrahedron. It's not just meshing the surface. $\endgroup$
    – Greg Hurst
    Commented Jun 7 at 13:51
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    $\begingroup$ of course, you're right, I forgot the polyhedrons in Math are solids not surfaces, so the "useless" edges are just the edges of tetrahedrons coming form the volume triangulation. $\endgroup$
    – sebqas
    Commented Jun 18 at 7:44

1 Answer 1

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We can use BoundaryMeshRegion

surf = BoundaryMeshRegion[Dodecahedron[]];

enter image description here

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