diff --git a/HexCell.cs b/HexCell.cs
index eb7d7e9..50cb04d 100644
--- a/HexCell.cs
+++ b/HexCell.cs
@@ -1,5 +1,6 @@
 using System;
 using System.Diagnostics;
+using System.Linq;
 using Godot;
 using Array = Godot.Collections.Array;
 
@@ -45,6 +46,14 @@ public class HexCell : Resource
         CubeCoords = other.CubeCoords;
     }
 
+    public static HexCell FromOffsetCoords(Vector2 offsetCoords)
+    {
+        HexCell result = new HexCell();
+        result.OffsetCoords = offsetCoords;
+
+        return result;
+    }
+
     private Vector3 _cubeCoords;
 
     public Vector3 CubeCoords
@@ -123,8 +132,36 @@ public class HexCell : Resource
         return rounded;
     }
 
-    public HexCell getAdjacent(Vector3 dir)
+    public HexCell GetAdjacent(Vector3 dir)
     {
         return new HexCell(this.CubeCoords + dir);
     }
+
+    public int DistanceTo(HexCell target)
+    {
+        return (int)(
+            Mathf.Abs(_cubeCoords.x - target.CubeCoords.x)
+            + Mathf.Abs(_cubeCoords.y - target.CubeCoords.y)
+            + Mathf.Abs(_cubeCoords.z - target.CubeCoords.z)
+        ) / 2;
+    }
+
+    public HexCell[] LineTo(HexCell target)
+    {
+        HexCell nudgedTarget = new HexCell();
+        nudgedTarget.CubeCoords = target.CubeCoords + new Vector3(1.0e-6f, 2.0e-6f, -3.0e-6f);
+        int steps = DistanceTo(target);
+
+        HexCell[] path = new HexCell[steps + 1];
+
+        foreach (int dist in Enumerable.Range(0, steps))
+        {
+            path[dist] = new HexCell();
+            path[dist].CubeCoords = CubeCoords.LinearInterpolate(nudgedTarget.CubeCoords, (float)dist / steps);
+        }
+        
+        path[steps] = target;
+
+        return path;
+    }
 }
\ No newline at end of file
diff --git a/components/GroundMotionComponent.cs b/components/GroundMotionComponent.cs
index 5cb9108..32a38af 100644
--- a/components/GroundMotionComponent.cs
+++ b/components/GroundMotionComponent.cs
@@ -10,40 +10,84 @@ public class GroundMotionComponent
 {
     public float Accel = 50;
     public float Damping = 0.2f;
-    public float MaxSpeed = 2;
+    public float MaxSpeed = 8;
 
-    public void PhysicsProcess(float delta, Entity entity, Vector3 target_position)
+    
+    private void CalcPlaneVelocity(float delta, Entity entity, Vector3 targetPosition)
     {
-        Vector2 plane_target_vector = new Vector2(target_position.x - entity.GlobalTranslation.x,
-            target_position.z - entity.GlobalTranslation.z);
-        float distance_error = plane_target_vector.Length();
-
-        if (distance_error < 0.01)
+        Vector2 planeTargetVector = new Vector2(targetPosition.x - entity.GlobalTranslation.x,
+            targetPosition.z - entity.GlobalTranslation.z);
+        float targetDistance = planeTargetVector.Length();
+        Vector2 planeTargetDirection = planeTargetVector / targetDistance;
+        
+        Vector2 planeVelocity = new Vector2(entity.Velocity.x, entity.Velocity.z);
+        // GD.Print("-- Step: distance: " + targetDistance + " dir: " + planeTargetDirection + " speed: " + planeVelocity.Length() + " vel dir: " + planeVelocity.Normalized());
+        planeVelocity -= planeVelocity * Damping;
+        // GD.Print("  damp : speed: " + planeVelocity.Length() + " vel dir: " + planeVelocity.Normalized());
+        
+        if (targetDistance < 0.01)
         {
-            entity.Velocity = Vector3.Zero;
+            planeVelocity = Vector2.Zero;
         } else {
-            Vector2 plane_velocity = new Vector2(entity.Velocity.x, entity.Velocity.z);
-            plane_velocity = plane_velocity + plane_target_vector / distance_error * Accel * delta;
+            planeVelocity = planeVelocity.Length() * planeTargetDirection + planeTargetDirection * Accel * delta;
+            // GD.Print("  accel: speed: " + planeVelocity.Length() + " vel dir: " + planeVelocity.Normalized());            
 
-            float projected_step = plane_target_vector.Dot(plane_velocity * delta);
-            GD.Print("Projected step: " + projected_step);
-            if (projected_step > 1)
+            float projectedStep = planeTargetDirection.Dot(planeVelocity * delta);
+            // GD.Print("  Projected step: " + projectedStep + " Speed: " + planeVelocity.Length() + " delta: " + delta);
+            if (projectedStep > targetDistance)
             {
-                plane_velocity /= projected_step;
+                planeVelocity *= targetDistance / projectedStep;
+                projectedStep = planeTargetDirection.Dot(planeVelocity * delta);
+                // GD.Print("  corr speed: " + planeVelocity.Length() + " step: " + projectedStep);                
             }
-
-            float plane_speed = plane_velocity.Length();
-            if (plane_speed > MaxSpeed)
+            
+            float planeSpeed = planeVelocity.Length();
+            if (planeSpeed > MaxSpeed)
             {
-                plane_velocity *= MaxSpeed / plane_speed;
+                planeVelocity *= MaxSpeed / planeSpeed;
             }
-
-            entity.Velocity = new Vector3(
-                plane_velocity.x, 0, plane_velocity.y);
         }
 
-        entity.Velocity.x -= entity.Velocity.x * Damping;
-        entity.Velocity.z -= entity.Velocity.z * Damping;
+        entity.Velocity = new Vector3(planeVelocity.x, entity.Velocity.y, planeVelocity.y);
+    }
+
+
+    private void CalcVerticalVelocity(float delta, Entity entity, TileWorld tileWorld)
+    {
+        Vector3 entityVelocity = entity.Velocity;
+
+        Vector2 currentTile = tileWorld.WorldToOffsetCoords(entity.GlobalTransform.origin);
+        Vector2 nextTile = tileWorld.WorldToOffsetCoords(entity.GlobalTransform.origin + entityVelocity * delta);
+
+        if (nextTile != currentTile)
+        {
+            float currentHeight = tileWorld.GetHeightAtOffset(currentTile);
+            float nextHeight = tileWorld.GetHeightAtOffset(nextTile);
+
+            bool isOnFloor = entity.IsOnFloor();
+            
+            if (nextHeight - entity.GlobalTransform.origin.y > 0.1)
+            {
+                GD.Print("Jump!");
+                entityVelocity.y = 10;
+            }
+        }
+
+        entityVelocity.y -= 9.81f * delta;
+        
+        entity.Velocity = entityVelocity;
+    }
+    
+    
+    public void PhysicsProcess(float delta, Entity entity, Vector3 targetPosition, TileWorld tileWorld)
+    {
+        CalcPlaneVelocity(delta, entity, targetPosition);
+        
+        CalcVerticalVelocity(delta, entity, tileWorld);
+
+        Vector3 prePhysicsVelocity = entity.Velocity;
         entity.Velocity = entity.MoveAndSlide(entity.Velocity);
+        GD.Print("Pre : speed: " + prePhysicsVelocity.Length() + " Velocity: " + prePhysicsVelocity);
+        GD.Print("Post: speed: " + entity.Velocity.Length() + " Velocity: " + entity.Velocity);
     }
 }
\ No newline at end of file
diff --git a/components/NavigationComponent.cs b/components/NavigationComponent.cs
new file mode 100644
index 0000000..e97bbd3
--- /dev/null
+++ b/components/NavigationComponent.cs
@@ -0,0 +1,47 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Numerics;
+using Godot;
+using Vector2 = Godot.Vector2;
+using Vector3 = Godot.Vector3;
+
+/// <summary>
+/// </summary>
+public class NavigationComponent
+{
+    public Vector3 currentGoalWorld;
+    public Vector2 currentGoalOffset;
+    public List<Vector2> pathOffsetCoords;
+    public HexCell[] path;
+
+    private HexGrid _hexGrid;
+
+    public void Plan(Vector3 currentPositionWorld, Vector3 targetPositionWorld, TileWorld tileWorld)
+    {
+        if ((targetPositionWorld - currentGoalWorld).LengthSquared() < 0.01)
+        {
+            return;
+        }
+
+        currentGoalWorld = targetPositionWorld;
+        Vector2 currentPositionOffset = tileWorld.WorldToOffsetCoords(currentPositionWorld);
+        Vector2 currentGoalOffset = tileWorld.WorldToOffsetCoords(targetPositionWorld);
+
+        HexCell currentCell = new HexCell();
+        currentCell.OffsetCoords = currentPositionOffset;
+
+        HexCell targetCell = new HexCell();
+        targetCell.OffsetCoords = currentGoalOffset;
+
+        path = currentCell.LineTo(targetCell);
+        
+        pathOffsetCoords = new List<Vector2>();
+        foreach (HexCell cell in path)
+        {
+            pathOffsetCoords.Append(cell.OffsetCoords);
+        }
+
+        currentGoalOffset = pathOffsetCoords[1];
+    }
+}
\ No newline at end of file
diff --git a/entities/Entity.cs b/entities/Entity.cs
index 14871f2..69ea556 100644
--- a/entities/Entity.cs
+++ b/entities/Entity.cs
@@ -3,18 +3,10 @@ using System;
 
 public class Entity : KinematicBody
 {
-    public Vector3 Position = Vector3.Zero;
-    public Quat Orientation = Quat.Identity;
+    public Vector3 Velocity { get; set; } = Vector3.Zero;
+    public float RotationalVelocity { get; set; } = 0;
 
-    public Vector3 Velocity = Vector3.Zero;
-    public float RotationalVelocity = 0;
-   
     public override void _Ready()
     {
     }
-
-    public override void _Process(float _delta)
-    {
-        Velocity = MoveAndSlide(Velocity);
-    }
 }
\ No newline at end of file
diff --git a/entities/Player.cs b/entities/Player.cs
index 2cd39d3..d256e30 100644
--- a/entities/Player.cs
+++ b/entities/Player.cs
@@ -12,11 +12,13 @@ public class Player : Entity
     private WorldInfoComponent _worldInfo;
     private Vector2 _offsetCoord = Vector2.Zero;
     private GroundMotionComponent _groundMotion;
+    private NavigationComponent _navigationComponent;
 
     // Called when the node enters the scene tree for the first time.
     public override void _Ready()
     {
         _groundMotion = new GroundMotionComponent();
+        _navigationComponent = new NavigationComponent();
         
         _movable = (MovableComponent)FindNode("Movable", false);
         if (_movable != null)
@@ -33,9 +35,27 @@ public class Player : Entity
     public override void _PhysicsProcess(float delta)
     {
         base._PhysicsProcess(delta);
-        _groundMotion.PhysicsProcess(delta, this, TargetPosition);
+
+        // update navigation target here
+        
+        // update physics target
+        Vector3 targetPosition =
+            _worldInfo.TileWorld.GetTileWorldCenterFromOffset(_navigationComponent.currentGoalOffset);
+        
+        // compute physics movement
+        _groundMotion.PhysicsProcess(delta, this, targetPosition, _worldInfo.TileWorld);
     }
 
+
+    public override void _Process(float delta)
+    {
+        if ((_navigationComponent.currentGoalWorld - TargetPosition).LengthSquared() > 0.01)
+        {
+            _navigationComponent.Plan(GlobalTransform.origin, TargetPosition, _worldInfo.TileWorld);
+        }
+    }
+    
+
     public void OnPositionUpdated(Vector3 newPosition)
     {
         if (_worldInfo != null)
diff --git a/scenes/AdaptiveWorldStream.tscn b/scenes/AdaptiveWorldStream.tscn
index 7520505..4c9780d 100644
--- a/scenes/AdaptiveWorldStream.tscn
+++ b/scenes/AdaptiveWorldStream.tscn
@@ -1,4 +1,4 @@
-[gd_scene load_steps=15 format=2]
+[gd_scene load_steps=17 format=2]
 
 [ext_resource path="res://scenes/AdaptiveWorldStream.cs" type="Script" id=1]
 [ext_resource path="res://assets/CreatusPiratePack/characters/Pirate1final_0.01.glb" type="PackedScene" id=2]
@@ -10,6 +10,14 @@
 [ext_resource path="res://components/MovableComponent.cs" type="Script" id=8]
 [ext_resource path="res://scenes/TileWorld.cs" type="Script" id=9]
 
+[sub_resource type="OpenSimplexNoise" id=10]
+period = 39.6
+
+[sub_resource type="NoiseTexture" id=11]
+width = 100
+height = 100
+noise = SubResource( 10 )
+
 [sub_resource type="CubeMesh" id=1]
 size = Vector3( 1, 1, 1 )
 
@@ -183,8 +191,9 @@ text = "0"
 [node name="WorldTextureRect" type="TextureRect" parent="Control"]
 margin_left = 1.0
 margin_top = 300.0
-margin_right = 101.0
-margin_bottom = 400.0
+margin_right = 513.0
+margin_bottom = 812.0
+texture = SubResource( 11 )
 
 [node name="StreamContainer" type="Spatial" parent="."]
 script = ExtResource( 4 )
diff --git a/scenes/TileWorld.cs b/scenes/TileWorld.cs
index 3a4231c..631c090 100644
--- a/scenes/TileWorld.cs
+++ b/scenes/TileWorld.cs
@@ -60,8 +60,8 @@ public class TileWorld : Spatial
 
         noise_generator.Seed = -1626828106;
         noise_generator.Octaves = 3;
-        noise_generator.Period = 5;
-        noise_generator.Persistence = 0.5f;
+        noise_generator.Period = 20;
+        noise_generator.Persistence = 0.1f;
         noise_generator.Lacunarity = 2;
         
         Heightmap.CopyFrom(noise_generator.GetImage((int)Size.x, (int)Size.y, null));
@@ -117,6 +117,17 @@ public class TileWorld : Spatial
         return _hexGrid.GetHexAt(new Vector2(world_coord.x, world_coord.z)).OffsetCoords;
     }
 
+
+    public Vector3 GetTileWorldCenterFromOffset(Vector2 offset_coord)
+    {
+        Vector2 tileCenter = _hexGrid.GetHexCenterFromOffset(offset_coord);
+
+        return new Vector3(
+            tileCenter.x,
+            GetHeightAtOffset(offset_coord),
+            tileCenter.y);
+    }
+
 //  // Called every frame. 'delta' is the elapsed time since the previous frame.
 //  public override void _Process(float delta)
 //  {
diff --git a/tests/HexCellTests.cs b/tests/HexCellTests.cs
index 54b0f66..edf1dfa 100644
--- a/tests/HexCellTests.cs
+++ b/tests/HexCellTests.cs
@@ -1,6 +1,8 @@
+using System;
 using Godot;
 using GoDotTest;
 using System.Diagnostics;
+using System.Linq;
 
 public class HexCellTests : TestClass
 {
@@ -88,21 +90,113 @@ public class HexCellTests : TestClass
         HexCell cell = new HexCell(new Vector2(1, 2));
 
         // adjacent
-        HexCell otherCell = cell.getAdjacent(HexCell.DIR_N);
+        HexCell otherCell = cell.GetAdjacent(HexCell.DIR_N);
         Debug.Assert(otherCell.AxialCoords == new Vector2(1, 3));
-        otherCell = cell.getAdjacent(HexCell.DIR_NE);
+        otherCell = cell.GetAdjacent(HexCell.DIR_NE);
         Debug.Assert(otherCell.AxialCoords == new Vector2(2, 2));
-        otherCell = cell.getAdjacent(HexCell.DIR_SE);
+        otherCell = cell.GetAdjacent(HexCell.DIR_SE);
         Debug.Assert(otherCell.AxialCoords == new Vector2(2, 1));
-        otherCell = cell.getAdjacent(HexCell.DIR_S);
+        otherCell = cell.GetAdjacent(HexCell.DIR_S);
         Debug.Assert(otherCell.AxialCoords == new Vector2(1, 1));
-        otherCell = cell.getAdjacent(HexCell.DIR_SW);
+        otherCell = cell.GetAdjacent(HexCell.DIR_SW);
         Debug.Assert(otherCell.AxialCoords == new Vector2(0, 2));
-        otherCell = cell.getAdjacent(HexCell.DIR_NW);
+        otherCell = cell.GetAdjacent(HexCell.DIR_NW);
         Debug.Assert(otherCell.AxialCoords == new Vector2(0, 3));
 
         // not really adjacent
-        otherCell = cell.getAdjacent(new Vector3(-3, -3, 6));
+        otherCell = cell.GetAdjacent(new Vector3(-3, -3, 6));
         Debug.Assert(otherCell.AxialCoords == new Vector2(-2, -1));
     }
+
+    [Test]
+    public void TestDistance()
+    {
+        HexCell cell = new HexCell();
+        cell.OffsetCoords = new Vector2(1, 2);
+        
+        Debug.Assert(cell.DistanceTo(new HexCell(new Vector2(0, 0))) == 3);
+        Debug.Assert(cell.DistanceTo(new HexCell(new Vector2(3, 4))) == 4);
+        Debug.Assert(cell.DistanceTo(new HexCell(new Vector2(-1, -1))) == 5);
+    }
+    
+    
+    [Test]
+    public void TestLineTo()
+    {
+        HexCell cell = new HexCell();
+        cell.OffsetCoords = new Vector2(1, 2);
+
+        HexCell[] path = cell.LineTo(new HexCell(5, 2));
+
+        HexCell[] pathExpected =
+        {
+            new HexCell(1, 2),
+            new HexCell(2, 2),
+            new HexCell(3, 2),
+            new HexCell(4, 2),
+            new HexCell(5, 2)
+        };
+        
+        Debug.Assert(path.Length == pathExpected.Length);
+
+        foreach (int index in Enumerable.Range(0, path.Length))
+        {
+            Debug.Assert(path[index].AxialCoords == pathExpected[index].AxialCoords);
+        }
+    }
+
+
+    [Test]
+    public void TestLineToAngled()
+    {
+        HexCell cell = new HexCell();
+        cell.OffsetCoords = new Vector2(1, 2);
+
+        HexCell[] path = cell.LineTo(new HexCell(5, 4));
+
+        HexCell[] pathExpected =
+        {
+            new HexCell(1, 2),
+            new HexCell(2, 2),
+            new HexCell(2, 3),
+            new HexCell(3, 3),
+            new HexCell(4, 3),
+            new HexCell(4, 4),            
+            new HexCell(5, 4)
+        };
+        
+        Debug.Assert(path.Length == pathExpected.Length);
+
+        foreach (int index in Enumerable.Range(0, path.Length))
+        {
+            Debug.Assert(path[index].AxialCoords == pathExpected[index].AxialCoords);
+        }
+    }
+    
+
+    [Test]
+    public void TestLineEdge()
+    {
+        HexCell cell = new HexCell();
+        cell.OffsetCoords = new Vector2(1, 2);
+
+        HexCell[] path = cell.LineTo(new HexCell(3, 4));
+
+        HexCell[] pathExpected =
+        {
+            new HexCell(1, 2),
+            new HexCell(2, 2),
+            new HexCell(2, 3),
+            new HexCell(2, 4),            
+            new HexCell(3, 4)
+        };
+        
+        Debug.Assert(path.Length == pathExpected.Length);
+
+        foreach (int index in Enumerable.Range(0, path.Length))
+        {
+            Debug.Print("index: " + index + " path: " + path[index].AxialCoords + " expected: " + pathExpected[index].AxialCoords);
+            Debug.Assert(path[index].AxialCoords == pathExpected[index].AxialCoords);
+        }
+    }
 }
\ No newline at end of file