diff --git a/.github/workflows/CI.yml b/.github/workflows/CI.yml
index 0a02aae..d219b09 100644
--- a/.github/workflows/CI.yml
+++ b/.github/workflows/CI.yml
@@ -35,7 +35,7 @@ jobs:
       - uses: julia-actions/julia-buildpkg@v1
       - uses: julia-actions/julia-runtest@v1
       - uses: julia-actions/julia-processcoverage@v1
-      - uses: codecov/codecov-action@v2
+      - uses: codecov/codecov-action@v3
         with:
           files: lcov.info
   docs:
diff --git a/Project.toml b/Project.toml
index a6d8dbc..05852e4 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "TimeZoneFinder"
 uuid = "3ccf6684-3f25-4581-8c58-114637dcab4a"
 authors = ["Tom Gillam <tpgillam@googlemail.com>"]
-version = "0.5.0"
+version = "0.5.1"
 
 [deps]
 JSON3 = "0f8b85d8-7281-11e9-16c2-39a750bddbf1"
@@ -18,7 +18,7 @@ TimeZones = "f269a46b-ccf7-5d73-abea-4c690281aa53"
 JSON3 = "1"
 LazyArtifacts = "1"
 Memoize = "0.4"
-Meshes = "0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29"
+Meshes = "0.32,0.33,0.34,0.35,0.36"
 PrecompileTools = "1"
 Scratch = "1"
 TimeZones = "1.10"
diff --git a/docs/Project.toml b/docs/Project.toml
index 28e8af1..a3c2072 100644
--- a/docs/Project.toml
+++ b/docs/Project.toml
@@ -1,3 +1,6 @@
 [deps]
 Documenter = "e30172f5-a6a5-5a46-863b-614d45cd2de4"
 TimeZoneFinder = "3ccf6684-3f25-4581-8c58-114637dcab4a"
+
+[compat]
+Documenter = "1"
diff --git a/docs/make.jl b/docs/make.jl
index 6eb5900..9889ede 100644
--- a/docs/make.jl
+++ b/docs/make.jl
@@ -14,14 +14,8 @@ makedocs(;
         edit_link="main",
         assets=String[],
     ),
-    pages=[
-        "Home" => "index.md",
-    ],
+    pages=["Home" => "index.md"],
     checkdocs=:exports,
-    strict=true,
 )
 
-deploydocs(;
-    repo="github.com/tpgillam/TimeZoneFinder.jl",
-    devbranch="main",
-)
+deploydocs(; repo="github.com/tpgillam/TimeZoneFinder.jl", devbranch="main")
diff --git a/src/TimeZoneFinder.jl b/src/TimeZoneFinder.jl
index 6d86a73..fa27384 100644
--- a/src/TimeZoneFinder.jl
+++ b/src/TimeZoneFinder.jl
@@ -12,14 +12,35 @@ using Scratch
 using Serialization
 using TimeZones
 
-function _get_points(coord_list)::Vector{Point{2,Float64}}
-    return [Point(Float64(x[1]), Float64(x[2])) for x in coord_list]
+"""Get points that form a closed loop.
+
+The last point that is returned is assumed to be connected back to the first; it is expected
+that in `coord_list` it will actually be repeated.
+"""
+function _get_ring_points(coord_list)::Vector{Point{2,Float64}}
+    # In the co-ordinate list, the first and last points _should_ be the same. We verify
+    # that this is the case.
+    first(coord_list) == last(coord_list) || throw(ArgumentError("Curve is not closed!"))
+
+    return [Point(Float64(x[1]), Float64(x[2])) for x in coord_list[1:(end - 1)]]
 end
 
 function _get_polyarea(coordinates)
-    exterior = _get_points(first(coordinates))
-    interiors = map(_get_points, coordinates[2:end])
-    return PolyArea(exterior, interiors)
+    exterior = _get_ring_points(first(coordinates))
+    interiors = map(_get_ring_points, coordinates[2:end])
+
+    return if hasmethod(
+        PolyArea, Tuple{AbstractVector{Point},AbstractVector{Point},AbstractVector{Point}}
+    )
+        PolyArea(exterior, interiors...)
+    else
+        # This branch supports versions of Meshes.jl <0.35.
+        # We want to support 0.32 for a while, because this is the newest version that
+        # supports Julia 1.6. Later versions only support Julia 1.9. At some point we will
+        # delete all this and move to >=1.9; hopefully we can hold out until another LTS is
+        # released.
+        PolyArea(exterior, interiors)
+    end
 end
 
 function _get_polyareas(geometry)