diff --git a/src/ui/GameWorldView.cpp b/src/ui/GameWorldView.cpp
index 7deeb6c..aac87da 100644
--- a/src/ui/GameWorldView.cpp
+++ b/src/ui/GameWorldView.cpp
@@ -118,6 +118,7 @@ GameWorldView::GameWorldView(Simulation* sim, const GameConfig* config,
     , m_demolishMode(false)
     , m_demolishHoverId(kInvalidEntityId)
     , m_debugDraw(false)
+    , m_rng(std::random_device{}())
     , m_boxSelecting(false)
     , m_scrollLeft(false)
     , m_scrollRight(false)
@@ -158,9 +159,25 @@ void GameWorldView::onFrame()
         const std::vector<FireEvent> fires = m_sim->drainFireEvents();
         for (const FireEvent& fe : fires)
         {
+            float maxRadius = 0.125f;
+            const Building* tBld = m_sim->buildings().findBuilding(fe.target);
+            if (tBld)
+            {
+                const int shorter = std::min(tBld->footprint.width(),
+                                             tBld->footprint.height());
+                maxRadius = shorter / 2.0f;
+            }
+
+            std::uniform_real_distribution<float> angleDist(0.0f, 6.28318530f);
+            std::uniform_real_distribution<float> radiusDist(0.0f, maxRadius);
+            const float angle  = angleDist(m_rng);
+            const float radius = radiusDist(m_rng);
+
             ActiveBeam beam;
             beam.event         = fe;
             beam.emittedWallMs = m_wallMs;
+            beam.targetOffset  = QVector2D(radius * std::cos(angle),
+                                           radius * std::sin(angle));
             m_activeBeams.push_back(beam);
         }
     }
@@ -821,7 +838,8 @@ void GameWorldView::drawBeams(QPainter& painter)
         const std::optional<QVector2D> shooterPos = entityPosition(beam.event.shooter);
         const std::optional<QVector2D> targetPos  = entityPosition(beam.event.target);
         if (!shooterPos.has_value() || !targetPos.has_value()) { continue; }
-        painter.drawLine(worldToWidget(*shooterPos), worldToWidget(*targetPos));
+        painter.drawLine(worldToWidget(*shooterPos),
+                         worldToWidget(*targetPos + beam.targetOffset));
     }
 }
 
diff --git a/src/ui/GameWorldView.h b/src/ui/GameWorldView.h
index 304c8bd..b8cc731 100644
--- a/src/ui/GameWorldView.h
+++ b/src/ui/GameWorldView.h
@@ -1,6 +1,7 @@
 #pragma once
 
 #include <optional>
+#include <random>
 #include <set>
 #include <vector>
 
@@ -116,6 +117,7 @@ private:
     {
         FireEvent event;
         qint64    emittedWallMs;
+        QVector2D targetOffset;
     };
 
     struct ToastEntry
@@ -136,6 +138,7 @@ private:
     TickDriver    m_tickDriver;
     QElapsedTimer m_frameTimer;
     qint64        m_wallMs;
+    std::mt19937  m_rng;
     double        m_gameSpeedMultiplier;
     double        m_prevNonZeroSpeed;
     float         m_scrollXTiles;