diff --git a/src/PolyhedralGeometry/helpers.jl b/src/PolyhedralGeometry/helpers.jl
index dedeebea8ba..45d876183d9 100644
--- a/src/PolyhedralGeometry/helpers.jl
+++ b/src/PolyhedralGeometry/helpers.jl
@@ -611,6 +611,10 @@ function _parent_or_coefficient_field(::Type{T}, x, y...) where {T<:scalar_types
   missing
 end
 
+function _parent_or_coefficient_field(::Type{T}, c::Tuple) where {T<:FieldElem}
+  return _parent_or_coefficient_field(T, c...)
+end
+
 function _determine_parent_and_scalar(f::Union{Field,ZZRing}, x...)
   _check_field_polyhedral(elem_type(f))
   return (f, elem_type(f))
diff --git a/test/PolyhedralGeometry/scalar_types.jl b/test/PolyhedralGeometry/scalar_types.jl
index 450e0ccc628..676e2645a7a 100644
--- a/test/PolyhedralGeometry/scalar_types.jl
+++ b/test/PolyhedralGeometry/scalar_types.jl
@@ -96,6 +96,11 @@
       )
       @test number_field(coefficient_field(j)) == number_field(coefficient_field(jj))
     end
+    let ng = n_gon(5)
+      (A,b) = halfspace_matrix_pair(facets(ng))
+      @test typeof(polyhedron(A,b)) == typeof(ng)
+      @test coefficient_field(polyhedron(A,b)) == coefficient_field((ng))
+    end
   end
 
   @testset "Cross scalar operations" begin
diff --git a/test/PolyhedralGeometry/setup_tests.jl b/test/PolyhedralGeometry/setup_tests.jl
index c6cc8613922..af8e73b5f2e 100644
--- a/test/PolyhedralGeometry/setup_tests.jl
+++ b/test/PolyhedralGeometry/setup_tests.jl
@@ -6,28 +6,28 @@ if !isdefined(Main, :_prepare_scalar_types)
     KK, (a1, a2) = embedded_number_field([x^2 - 2, x^3 - 5], [(0, 2), (0, 2)])
     return [(f, elem_type(f)) for f in (QQ, K, KK)]
   end
-end
 
-function _check_im_perm_rows(inc::IncidenceMatrix, o)
-  oinc = incidence_matrix(o)
-  nr, nc = size(inc)
-  (nr, nc) == size(oinc) &&
-    issetequal(Polymake.row.(Ref(inc), 1:nr),
-               Polymake.row.(Ref(oinc), 1:nr))
-end
+  function _check_im_perm_rows(inc::IncidenceMatrix, o)
+    oinc = incidence_matrix(o)
+    nr, nc = size(inc)
+    (nr, nc) == size(oinc) &&
+      issetequal(Polymake.row.(Ref(inc), 1:nr),
+                 Polymake.row.(Ref(oinc), 1:nr))
+  end
 
-_matrix_from_property(b::SubObjectIterator{<:Union{LinearHalfspace, LinearHyperplane}}) = permutedims(hcat([normal_vector(be) for be in b]...))
+  _matrix_from_property(b::SubObjectIterator{<:Union{LinearHalfspace, LinearHyperplane}}) = permutedims(hcat([normal_vector(be) for be in b]...))
 
-_matrix_from_property(b::SubObjectIterator{<:Union{AffineHalfspace, AffineHyperplane}}) = permutedims(hcat([vcat(-negbias(be), normal_vector(be)) for be in b]...))
+  _matrix_from_property(b::SubObjectIterator{<:Union{AffineHalfspace, AffineHyperplane}}) = permutedims(hcat([vcat(-negbias(be), normal_vector(be)) for be in b]...))
 
-# only used for cones that are linear halfspaces
-_matrix_from_property(b::SubObjectIterator{Cone{T}}) where T = _matrix_from_property(SubObjectIterator{LinearHalfspace{T}}(b.Obj, b.Acc, b.n))
+  # only used for cones that are linear halfspaces
+  _matrix_from_property(b::SubObjectIterator{Cone{T}}) where T = _matrix_from_property(SubObjectIterator{LinearHalfspace{T}}(b.Obj, b.Acc, b.n))
 
-_matrix_from_property(b::SubObjectIterator) = permutedims(hcat(b...))
+  _matrix_from_property(b::SubObjectIterator) = permutedims(hcat(b...))
 
-_oscar_matrix_from_property(a, b::SubObjectIterator) = matrix(a, _matrix_from_property(b))
+  _oscar_matrix_from_property(a, b::SubObjectIterator) = matrix(a, _matrix_from_property(b))
 
-function _polymake_matrix_from_property(b::SubObjectIterator)
-  m = _matrix_from_property(b)
-  return Polymake.Matrix{Oscar._scalar_type_to_polymake(eltype(m))}(m)
+  function _polymake_matrix_from_property(b::SubObjectIterator)
+    m = _matrix_from_property(b)
+    return Polymake.Matrix{Oscar._scalar_type_to_polymake(eltype(m))}(m)
+  end
 end