diff --git a/Source/debug.cpp b/Source/debug.cpp
index dad4c18fc..89defeb36 100644
--- a/Source/debug.cpp
+++ b/Source/debug.cpp
@@ -1081,7 +1081,7 @@ bool IsDebugGridInMegatiles()
 bool GetDebugGridText(Point dungeonCoords, char *debugGridTextBuffer)
 {
 	int info = 0;
-	Point megaCoords = { (dungeonCoords.x - 16) / 2, (dungeonCoords.y - 16) / 2 };
+	Point megaCoords = dungeonCoords.worldToMega();
 	switch (SelectedDebugGridTextItem) {
 	case DebugGridTextItem::coords:
 		sprintf(debugGridTextBuffer, "%d:%d", dungeonCoords.x, dungeonCoords.y);
diff --git a/Source/drlg_l4.cpp b/Source/drlg_l4.cpp
index 46d9514f2..d9a35a8aa 100644
--- a/Source/drlg_l4.cpp
+++ b/Source/drlg_l4.cpp
@@ -1340,8 +1340,8 @@ void CreateL4Dungeon(uint32_t rseed, lvl_entry entry)
 {
 	SetRndSeed(rseed);
 
-	dminPosition = { 16, 16 };
-	dmaxPosition = { 96, 96 };
+	dminPosition = Point(0, 0).megaToWorld();
+	dmaxPosition = Point(40, 40).megaToWorld();
 
 	ViewPosition = { 40, 40 };
 
@@ -1355,8 +1355,8 @@ void CreateL4Dungeon(uint32_t rseed, lvl_entry entry)
 
 void LoadL4Dungeon(const char *path, int vx, int vy)
 {
-	dminPosition = { 16, 16 };
-	dmaxPosition = { 96, 96 };
+	dminPosition = Point(0, 0).megaToWorld();
+	dmaxPosition = Point(40, 40).megaToWorld();
 
 	DRLG_InitTrans();
 	InitDungeonFlags();
@@ -1376,8 +1376,8 @@ void LoadL4Dungeon(const char *path, int vx, int vy)
 
 void LoadPreL4Dungeon(const char *path)
 {
-	dminPosition = { 16, 16 };
-	dmaxPosition = { 96, 96 };
+	dminPosition = Point(0, 0).megaToWorld();
+	dmaxPosition = Point(40, 40).megaToWorld();
 
 	InitDungeonFlags();
 
diff --git a/Source/engine/point.hpp b/Source/engine/point.hpp
index 227dd396d..b6b5a541f 100644
--- a/Source/engine/point.hpp
+++ b/Source/engine/point.hpp
@@ -162,13 +162,21 @@ struct Point {
 	}
 
 	/**
-	 * @brief Converte from mega tile cordinates to dungeon piece cordinates
+	 * @brief Converts a coordinate in megatiles to the northmost of the 4 corresponding world tiles
 	 */
-	constexpr Point megaToWorld()
+	constexpr Point megaToWorld() const
 	{
 		return { 16 + 2 * x, 16 + 2 * y };
 	}
 
+	/**
+	 * @brief Converts a coordinate in world tiles back to the corresponding megatile
+	 */
+	constexpr Point worldToMega() const
+	{
+		return { (x - 16) / 2, (y - 16) / 2 };
+	}
+
 #ifdef BUILD_TESTING
 	/**
 	 * @brief Format points nicely in test failure messages
diff --git a/Source/quests.cpp b/Source/quests.cpp
index b3bf67102..864ada8d5 100644
--- a/Source/quests.cpp
+++ b/Source/quests.cpp
@@ -133,7 +133,7 @@ void DrawButcher()
 
 void DrawSkelKing(quest_id q, Point position)
 {
-	Quests[q].position = { 2 * position.x + 28, 2 * position.y + 23 };
+	Quests[q].position = position.megaToWorld() + Displacement { 12, 7 };
 }
 
 void DrawWarLord(Point position)
@@ -179,7 +179,7 @@ void DrawSChamber(quest_id q, Point position)
 		}
 	}
 
-	Quests[q].position = { 2 * position.x + 22, 2 * position.y + 23 };
+	Quests[q].position = position.megaToWorld() + Displacement { 6, 7 };
 }
 
 void DrawLTBanner(Point position)
@@ -375,7 +375,7 @@ void CheckQuests()
 
 	auto &quest = Quests[Q_BETRAYER];
 	if (quest.IsAvailable() && gbIsMultiplayer && quest._qvar1 == 2) {
-		AddObject(OBJ_ALTBOY, { 2 * setpc_x + 20, 2 * setpc_y + 22 });
+		AddObject(OBJ_ALTBOY, Point(setpc_x, setpc_y).megaToWorld() + Displacement { 4, 6 });
 		quest._qvar1 = 3;
 		NetSendCmdQuest(true, quest);
 	}
@@ -389,11 +389,8 @@ void CheckQuests()
 	    && quest._qvar1 >= 2
 	    && (quest._qactive == QUEST_ACTIVE || quest._qactive == QUEST_DONE)
 	    && (quest._qvar2 == 0 || quest._qvar2 == 2)) {
-		quest.position.x = 2 * quest.position.x + 16;
-		quest.position.y = 2 * quest.position.y + 16;
-		int rportx = quest.position.x;
-		int rporty = quest.position.y;
-		AddMissile({ rportx, rporty }, { rportx, rporty }, Direction::South, MIS_RPORTAL, TARGET_MONSTERS, MyPlayerId, 0, 0);
+		Point portalLocation = quest.position.megaToWorld();
+		AddMissile(portalLocation, portalLocation, Direction::South, MIS_RPORTAL, TARGET_MONSTERS, MyPlayerId, 0, 0);
 		quest._qvar2 = 1;
 		if (quest._qactive == QUEST_ACTIVE && quest._qvar1 == 2) {
 			quest._qvar1 = 3;
@@ -404,9 +401,8 @@ void CheckQuests()
 	    && setlevel
 	    && setlvlnum == SL_VILEBETRAYER
 	    && quest._qvar2 == 4) {
-		int rportx = 35;
-		int rporty = 32;
-		AddMissile({ rportx, rporty }, { rportx, rporty }, Direction::South, MIS_RPORTAL, TARGET_MONSTERS, MyPlayerId, 0, 0);
+		Point portalLocation { 35, 32 };
+		AddMissile(portalLocation, portalLocation, Direction::South, MIS_RPORTAL, TARGET_MONSTERS, MyPlayerId, 0, 0);
 		quest._qvar2 = 3;
 	}
 
@@ -640,7 +636,7 @@ void ResyncMPQuests()
 		NetSendCmdQuest(true, betrayerQuest);
 	}
 	if (betrayerQuest.IsAvailable())
-		AddObject(OBJ_ALTBOY, { 2 * setpc_x + 20, 2 * setpc_y + 22 });
+		AddObject(OBJ_ALTBOY, Point(setpc_x, setpc_y).megaToWorld() + Displacement { 4, 6 });
 
 	auto &cryptQuest = Quests[Q_GRAVE];
 	if (cryptQuest._qactive == QUEST_INIT && currlevel == cryptQuest._qlevel - 1) {