diff --git a/src/doc/en/thematic_tutorials/geometry/polyhedra_quickref.rst b/src/doc/en/thematic_tutorials/geometry/polyhedra_quickref.rst
index 96c43ffd6f5..fafc74d0074 100644
--- a/src/doc/en/thematic_tutorials/geometry/polyhedra_quickref.rst
+++ b/src/doc/en/thematic_tutorials/geometry/polyhedra_quickref.rst
@@ -122,6 +122,7 @@ List of Polyhedron methods
     :widths: 30, 70
     :delim: |
 
+    :meth:`~sage.geometry.polyhedron.base.Polyhedron_base.combinatorial_polyhedron` | the combinatorial polyhedron
     :meth:`~sage.geometry.polyhedron.base.Polyhedron_base.face_lattice` | the face lattice
     :meth:`~sage.geometry.polyhedron.base.Polyhedron_base.combinatorial_automorphism_group` | the automorphism group of the underlying combinatorial polytope
     :meth:`~sage.geometry.polyhedron.base.Polyhedron_base.graph`, :meth:`~sage.geometry.polyhedron.base.Polyhedron_base.vertex_graph` | underlying graph
diff --git a/src/sage/geometry/polyhedron/base.py b/src/sage/geometry/polyhedron/base.py
index fa0693ae9ab..62b0ea0f15d 100644
--- a/src/sage/geometry/polyhedron/base.py
+++ b/src/sage/geometry/polyhedron/base.py
@@ -2731,6 +2731,27 @@ def is_compact(self):
         """
         return self.n_rays() == 0 and self.n_lines() == 0
 
+    @cached_method
+    def combinatorial_polyhedron(self):
+        r"""
+        Return the combinatorial type of ``self``.
+
+        See :class:`sage.geometry.polyhedron.combinatorial_polyhedron.base.CombinatorialPolyhedron`.
+
+        EXAMPLES::
+
+            sage: polytopes.cube().combinatorial_polyhedron()
+            A 3-dimensional combinatorial polyhedron with 6 facets
+
+            sage: polytopes.cyclic_polytope(4,10).combinatorial_polyhedron()
+            A 4-dimensional combinatorial polyhedron with 35 facets
+
+            sage: Polyhedron(rays=[[0,1], [1,0]]).combinatorial_polyhedron()
+            A 2-dimensional combinatorial polyhedron with 2 facets
+        """
+        from sage.geometry.polyhedron.combinatorial_polyhedron.base import CombinatorialPolyhedron
+        return CombinatorialPolyhedron(self)
+
     def is_simple(self):
         """
         Test for simplicity of a polytope.