diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index e84ec918..782e21d4 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -64,6 +64,8 @@ jobs:
             ${{ runner.os }}-test-
             ${{ runner.os }}-
       - uses: julia-actions/julia-buildpkg@v1
+        env:
+          PYTHON: ""
       - run: |
           julia --color=yes --project=. --check-bounds=yes --depwarn=error -e '
             using Pkg; Pkg.instantiate()'
diff --git a/.github/workflows/ci_x86.yml b/.github/workflows/ci_x86.yml
index 74fc1627..596d4972 100644
--- a/.github/workflows/ci_x86.yml
+++ b/.github/workflows/ci_x86.yml
@@ -36,4 +36,6 @@ jobs:
             ${{ runner.os }}-test-
             ${{ runner.os }}-
       - uses: julia-actions/julia-buildpkg@v1
+        env:
+          PYTHON: ""
       - uses: julia-actions/julia-runtest@v1
diff --git a/Project.toml b/Project.toml
index f3553c45..61375cea 100644
--- a/Project.toml
+++ b/Project.toml
@@ -6,11 +6,11 @@ version = "0.8.0"
 [deps]
 AbstractTrees = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
 Combinatorics = "861a8166-3701-5b0c-9a16-15d98fcdc6aa"
+Delaunay = "07eb4e4e-0c6d-46ef-bc4e-83d5e5d860a9"
 FillArrays = "1a297f60-69ca-5386-bcde-b61e274b549b"
 Gridap = "56d4f2e9-7ea1-5844-9cf6-b9c51ca7ce8e"
 LightGraphs = "093fc24a-ae57-5d10-9952-331d41423f4d"
 LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
-MiniQhull = "978d7f02-9e05-4691-894f-ae31a51d76ca"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
@@ -20,8 +20,7 @@ Combinatorics = "1"
 FillArrays = "0.10, 0.11"
 Gridap = "0.17.13"
 LightGraphs = "1.3.3"
-MiniQhull = "0.1.0, 0.2, 0.3"
-julia = "1.3"
+julia = "1.5"
 
 [extras]
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
diff --git a/src/LevelSetCutters/LevelSetCutters.jl b/src/LevelSetCutters/LevelSetCutters.jl
index f12bf89d..c0bf84e1 100644
--- a/src/LevelSetCutters/LevelSetCutters.jl
+++ b/src/LevelSetCutters/LevelSetCutters.jl
@@ -17,7 +17,7 @@ using GridapEmbedded.Interfaces: merge_sub_face_data
 using GridapEmbedded.Interfaces: compute_inoutcut
 
 using LinearAlgebra
-using MiniQhull
+using Delaunay
 
 using Gridap.TensorValues
 using Gridap.ReferenceFEs
diff --git a/src/LevelSetCutters/LookupTables.jl b/src/LevelSetCutters/LookupTables.jl
index 5a76484a..b2417c5f 100644
--- a/src/LevelSetCutters/LookupTables.jl
+++ b/src/LevelSetCutters/LookupTables.jl
@@ -8,7 +8,7 @@ struct LookupTable{D,T}
   case_to_subfacet_to_points::Vector{Vector{Vector{Int}}}
   case_to_subfacet_to_normal::Vector{Vector{VectorValue{D,T}}}
   case_to_subfacet_to_orientation::Vector{Vector{T}}
-  case_to_point_to_coordinates::Vector{Vector{VectorValue{D,T}}} 
+  case_to_point_to_coordinates::Vector{Vector{VectorValue{D,T}}}
   case_to_inoutcut::Vector{Int}
 end
 
@@ -155,14 +155,14 @@ end
 
 function _delaunay(points::Vector{Point{D,T}}) where {D,T}
   n = length(points)
-  m = zeros(T,D,n)
+  m = zeros(T,n,D)
   for (i,p) in enumerate(points)
     for (j,pj) in enumerate(p)
-      m[j,i] = pj
+      m[i,j] = pj
     end
   end
-  cells = delaunay(m)
-  [ Vector{Int}(cells[:,k]) for k in 1:size(cells,2)]
+  cells = delaunay(m).simplices
+  [ Vector{Int}(cells[k,:]) for k in 1:size(cells,1)]
 end
 
 function _ensure_positive_jacobians!(subcell_to_points,point_to_coords,p::Polytope)
@@ -370,4 +370,3 @@ function _orthogonal_vector(v1::VectorValue{4},v2::VectorValue{4},v3::VectorValu
     w4 = (v11*v23*v32 - v11*v22*v33 + v12*v21*v33 - v12*v23*v31 - v13*v21*v32 + v13*v22*v31)
   VectorValue(w1,w2,w3,w4)
 end
-
diff --git a/test/runtests.jl b/test/runtests.jl
index 4ede0432..b7004501 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -2,9 +2,7 @@ module RunTests
 
 using Test
 
-using MiniQhull
-
-if MiniQhull.QHULL_WRAPPER_LOADED[]
+using Delaunay
 
   @time @testset "CSG" begin include("CSGTests/runtests.jl") end
 
@@ -16,9 +14,4 @@ if MiniQhull.QHULL_WRAPPER_LOADED[]
 
   include(joinpath(@__DIR__,"..","examples","runexamples.jl"))
 
-else
-  @warn "MiniQhull not properly installed. Tests are not executed."
-
-end
-
 end # module