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graphics - How to get rid of the mesh of a `MeshRegion` in a same pane 


point = {{(2 2^(1/3))/3, (2 2^(1/3))/3, (2 2^(1/3))/
3}, {-((2 2^(1/3))/3), (2 2^(1/3))/3, (2 2^(1/3))/3}, {(
2 2^(1/3))/3, -((2 2^(1/3))/3), (2 2^(1/3))/3}, {(2 2^(1/3))/3, (
2 2^(1/3))/
3, -((2 2^(1/3))/3)}, {-((2 2^(1/3))/3), -((2 2^(1/3))/3), (
2 2^(1/3))/3}, {-((2 2^(1/3))/3), (2 2^(1/3))/

3, -((2 2^(1/3))/3)}, {(2 2^(1/3))/
3, -((2 2^(1/3))/3), -((2 2^(1/3))/3)}, {-((2 2^(1/3))/3), -((
 2 2^(1/3))/3), -((2 2^(1/3))/3)}, {0, 1/2^(2/3), 2^(
1/3)}, {0, -(1/2^(2/3)), 2^(1/3)}, {0, 1/2^(
2/3), -2^(1/3)}, {0, -(1/2^(2/3)), -2^(1/3)}, {1/2^(2/3), 2^(1/3),
 0}, {-(1/2^(2/3)), 2^(1/3), 0}, {1/2^(2/3), -2^(1/3), 
0}, {-(1/2^(2/3)), -2^(1/3), 0}, {2^(1/3), 0, 1/2^(
2/3)}, {-2^(1/3), 0, 1/2^(2/3)}, {2^(1/3), 
0, -(1/2^(2/3))}, {-2^(1/3), 0, -(1/2^(2/3))}};
reg = ConvexHullMesh[point, MeshCellStyle -> {{1, All} -> Red}]


enter image description here


This current method:


poly = MeshPrimitives[ConvexHullMesh[point], 2];
total = Function[part, 
     Select[poly, 
      RegionDistance[InfinitePlane @@ part, RandomPoint[#]] < 
        10^-5 &]] /@ poly // DeleteDuplicatesBy[#, Sort[#] &] &;
g12 = Polygon /@ (#[[
       FindShortestTour[#] // Last]] & /@ (DeleteDuplicates /@ 

       Apply[Sequence, total, {2, 3}])) // 
  Graphics3D[{Yellow, EdgeForm[Red], #}, Boxed -> False] &

enter image description here


Are there more smart method to get rid of the redundant red line?



Answer



Graphics3D[{Yellow, EdgeForm[Red],Polygon@*VertexList@*Graph /@ 
   FindCycle[NearestNeighborGraph[point // N, 3], {5}, All]}]

img



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