# VoronoiMesh with boundary edges removed

I would like to create a Voronoi diagram without the boundary edges highlighted. This code

gVD = VoronoiMesh[X, MeshCellStyle -> {{1, All} -> {Thick, Red}}]

produces the 1st image [left/top] (X is my set of sites). What I want is the 2nd image [right/bottom], which I edited in Adobe Illustrator to remove the edges around the square. I have been unsuccessful in identifying those boundary edges. Any ideas?

(Incidentally, these Voronoi diagrams have no interior cells: all cells are unbounded.)
X = {{1.60949, -3.71179}, {5.7819, -7.34439}, {9.88144, 8.31277},
{8.30027, 13.0336}, {-10.5991, 10.1752}, {-6.70748, 1.50298}};


VoronoiMesh[X,
MeshCellStyle -> {{1, "Interior"} -> {Thick, Red}, {1, "Frontier"} -> {Thick, Red}}]


Alternatively,

VoronoiMesh[X,
MeshCellStyle -> {{1, "Boundary"} -> Opacity[0], {1, All} -> Directive[Thick, Red]}]


same picture

• Thanks so much! I was unaware of these keywords, "Boundary," "Frontier," "Interior." Jul 9 '20 at 1:29
• @Joseph, yes, these are unfortunately undocumented. Please consider sending a suggestion to Support if you want these documented. Jul 9 '20 at 4:16