diff --git a/SConstruct b/SConstruct
index f19bd992d..cacfe00d8 100644
--- a/SConstruct
+++ b/SConstruct
@@ -261,7 +261,8 @@ node.add_sources ([
     'ns2-mobility-file-topology.cc',
     'mobility-model-helper.cc',
     'position-2d.cc',
-    'random-2d-position.cc',
+    'position.cc',
+    'random-position.cc',
     ])
 node.add_inst_headers ([
     'node.h',
@@ -292,7 +293,8 @@ node.add_inst_headers ([
     'ns2-mobility-file-topology.h',
     'mobility-model-helper.h',
     'position-2d.h',
-    'random-2d-position.h',
+    'position.h',
+    'random-position.h',
     ])
 
 applications = build.Ns3Module ('applications', 'src/applications')
diff --git a/src/node/random-2d-position.cc b/src/node/random-position.cc
similarity index 85%
rename from src/node/random-2d-position.cc
rename to src/node/random-position.cc
index 6fbb74d04..f0c126a0b 100644
--- a/src/node/random-2d-position.cc
+++ b/src/node/random-position.cc
@@ -1,4 +1,4 @@
-#include "random-2d-position.h"
+#include "random-position.h"
 #include "ns3/random-variable.h"
 #include "ns3/random-variable-default-value.h"
 #include <cmath>
@@ -25,21 +25,21 @@ g_discRho ("RandomRectanglePositionRho",
 	   "A random variable which represents the radius of a position in a random disc.",
 	   "Uniform:0:200");
 
-const InterfaceId Random2dPosition::iid = MakeInterfaceId ("Random2dPosition", Object::iid);
+const InterfaceId RandomPosition::iid = MakeInterfaceId ("RandomPosition", Object::iid);
 
 const ClassId RandomRectanglePosition::cid = 
   MakeClassId<RandomRectanglePosition> ("RandomRectanglePosition", 
-					Random2dPosition::iid);
+					RandomPosition::iid);
 const ClassId RandomDiscPosition::cid = 
   MakeClassId<RandomDiscPosition> ("RandomDiscPosition", 
-				   Random2dPosition::iid);
+				   RandomPosition::iid);
 
-Random2dPosition::Random2dPosition ()
+RandomPosition::RandomPosition ()
 {
-  Object::SetInterfaceId (Random2dPosition::iid);
+  Object::SetInterfaceId (RandomPosition::iid);
 }
 
-Random2dPosition::~Random2dPosition ()
+RandomPosition::~RandomPosition ()
 {}
 
 RandomRectanglePosition::RandomRectanglePosition ()
@@ -58,12 +58,12 @@ RandomRectanglePosition::~RandomRectanglePosition ()
   m_x = 0;
   m_y = 0;
 }
-Position2d
+Position
 RandomRectanglePosition::Get (void) const
 {
   double x = m_x->GetValue ();
   double y = m_y->GetValue ();
-  return Position2d (x, y);
+  return Position (x, y, 0.0);
 }
 
 RandomDiscPosition::RandomDiscPosition ()
@@ -82,14 +82,14 @@ RandomDiscPosition::~RandomDiscPosition ()
   m_theta = 0;
   m_rho = 0;
 }
-Position2d
+Position
 RandomDiscPosition::Get (void) const
 {
   double theta = m_theta->GetValue ();
   double rho = m_rho->GetValue ();
   double x = std::cos (theta) * rho;
   double y = std::sin (theta) * rho;
-  return Position2d (x, y);
+  return Position (x, y, 0.0);
 }
 
 
diff --git a/src/node/random-2d-position.h b/src/node/random-position.h
similarity index 60%
rename from src/node/random-2d-position.h
rename to src/node/random-position.h
index 3c014e21c..6c1609642 100644
--- a/src/node/random-2d-position.h
+++ b/src/node/random-position.h
@@ -1,24 +1,24 @@
-#ifndef RANDOM_2D_POSITION_H
-#define RANDOM_2D_POSITION_H
+#ifndef RANDOM_POSITION_H
+#define RANDOM_POSITION_H
 
 #include "ns3/object.h"
 #include "ns3/component-manager.h"
-#include "position-2d.h"
+#include "position.h"
 
 namespace ns3 {
 
 class RandomVariable;
 
-class Random2dPosition : public Object
+class RandomPosition : public Object
 {
 public:
   static const InterfaceId iid;
-  Random2dPosition ();
-  virtual ~Random2dPosition ();
-  virtual Position2d Get (void) const = 0;
+  RandomPosition ();
+  virtual ~RandomPosition ();
+  virtual Position Get (void) const = 0;
 };
 
-class RandomRectanglePosition : public Random2dPosition
+class RandomRectanglePosition : public RandomPosition
 {
 public:
   static const ClassId cid;
@@ -26,13 +26,13 @@ public:
   RandomRectanglePosition (const RandomVariable &x,
 			   const RandomVariable &y);
   virtual ~RandomRectanglePosition ();
-  virtual Position2d Get (void) const;
+  virtual Position Get (void) const;
 private:
   RandomVariable *m_x;
   RandomVariable *m_y;
 };
 
-class RandomDiscPosition : public Random2dPosition
+class RandomDiscPosition : public RandomPosition
 {
 public:
   static const ClassId cid;
@@ -40,7 +40,7 @@ public:
   RandomDiscPosition (const RandomVariable &theta,
 		      const RandomVariable &rho);
   virtual ~RandomDiscPosition ();
-  virtual Position2d Get (void) const;
+  virtual Position Get (void) const;
 private:
   RandomVariable *m_theta;
   RandomVariable *m_rho;
@@ -48,4 +48,4 @@ private:
 
 } // namespace ns3
 
-#endif /* RANDOM_2D_POSITION_H */
+#endif /* RANDOM_POSITION_H */
diff --git a/src/node/random-topology.cc b/src/node/random-topology.cc
index da3567c49..fa925c32c 100644
--- a/src/node/random-topology.cc
+++ b/src/node/random-topology.cc
@@ -20,30 +20,30 @@
  */
 #include "ns3/random-variable-default-value.h"
 #include "random-topology.h"
-#include "random-2d-position.h"
+#include "random-position.h"
 #include "mobility-model.h"
 
 namespace ns3 {
 
 static ClassIdDefaultValue
-g_position ("Random2dTopologyType",
-            "The type of initial random position in a 2d topology.",
-            Random2dPosition::iid,
+g_position ("RandomTopologyType",
+            "The type of initial random position in a 3d topology.",
+            RandomPosition::iid,
             "Rectangle");
 
 static ClassIdDefaultValue
-g_mobility ("Random2dTopologyMobilityModelType",
-            "The type of mobility model attached to an object in a 2d topology.",
+g_mobility ("RandomTopologyMobilityModelType",
+            "The type of mobility model attached to an object in a 3d topology.",
             MobilityModel::iid,
             "StaticMobilityModel");
 
 RandomTopology::RandomTopology ()
   : m_mobilityModel (g_mobility.GetValue ())
 {
-  m_positionModel = ComponentManager::Create<Random2dPosition> (g_position.GetValue (), 
-                                                                Random2dPosition::iid);
+  m_positionModel = ComponentManager::Create<RandomPosition> (g_position.GetValue (), 
+                                                              RandomPosition::iid);
 }
-RandomTopology::RandomTopology (Ptr<Random2dPosition> positionModel, ClassId mobilityModel)
+RandomTopology::RandomTopology (Ptr<RandomPosition> positionModel, ClassId mobilityModel)
   : m_positionModel (positionModel),
     m_mobilityModel (mobilityModel)
 {}
@@ -59,7 +59,7 @@ RandomTopology::SetMobilityModel (ClassId classId)
 }
 
 void 
-RandomTopology::SetPositionModel (Ptr<Random2dPosition> positionModel)
+RandomTopology::SetPositionModel (Ptr<RandomPosition> positionModel)
 {
   m_positionModel = positionModel;
 }
@@ -67,12 +67,9 @@ RandomTopology::SetPositionModel (Ptr<Random2dPosition> positionModel)
 void 
 RandomTopology::LayoutOne (Ptr<Object> object)
 {
-  Position2d position2d = m_positionModel->Get ();
   Ptr<MobilityModel> mobility = ComponentManager::Create<MobilityModel> (m_mobilityModel, 
                                                                          MobilityModel::iid);
-  Position position = mobility->Get ();
-  position.x = position2d.x;
-  position.y = position2d.y;
+  Position position = m_positionModel->Get ();
   mobility->Set (position);
   object->AddInterface (mobility);
 }
diff --git a/src/node/random-topology.h b/src/node/random-topology.h
index 826186e6c..f3c63b853 100644
--- a/src/node/random-topology.h
+++ b/src/node/random-topology.h
@@ -27,26 +27,26 @@
 
 namespace ns3 {
 
-class Random2dPosition;
+class RandomPosition;
 
 class RandomTopology
 {
  public:
   RandomTopology ();
-  RandomTopology (Ptr<Random2dPosition> positionModel,
-                           ClassId mobilityModel);
+  RandomTopology (Ptr<RandomPosition> positionModel,
+                  ClassId mobilityModel);
 
   ~RandomTopology ();
 
   void SetMobilityModel (ClassId classId);
-  void SetPositionModel (Ptr<Random2dPosition> positionModel);
+  void SetPositionModel (Ptr<RandomPosition> positionModel);
 
   void LayoutOne (Ptr<Object> object);
 
   template <typename T>
   void Layout (const T &begin, const T &end);
  private:
-  Ptr<Random2dPosition> m_positionModel;
+  Ptr<RandomPosition> m_positionModel;
   ClassId m_mobilityModel;
 };