# Meshes

The two-dimensional embedded delta sets (EmbeddedDeltaSet2D) in CombinatorialSpaces can be converted to and from mesh objects (Mesh) in Meshes.jl. This is useful for interoperation with packages in the JuliaGeometry ecosystem.

## Visualizing embedded delta sets

The following example shows how to import a mesh from an OBJ file, convert it into an embedded delta set, and render it as a 3D mesh using WGLMakie.

using FileIO, WGLMakie, CombinatorialSpaces
set_theme!(resolution=(800, 400))
"https://github.com/JuliaPlots/Makie.jl/raw/master/assets/cat.obj")))

catmesh_dset = EmbeddedDeltaSet2D(catmesh)
mesh(catmesh_dset, shading=false)

Alterntively, the embedded delta set can be visualized as a wireframe:

wireframe(catmesh_dset)

We can also construct and plot the dual complex for this mesh:

dual = EmbeddedDeltaDualComplex2D{Bool, Float32, Point{3,Float32}}(catmesh_dset)
subdivide_duals!(dual, Barycenter())
wireframe(dual)