diff --git a/OpenNest.Engine/Fill/StripeFiller.cs b/OpenNest.Engine/Fill/StripeFiller.cs
new file mode 100644
index 0000000..eab8473
--- /dev/null
+++ b/OpenNest.Engine/Fill/StripeFiller.cs
@@ -0,0 +1,124 @@
+using System.Collections.Generic;
+using System.Linq;
+using OpenNest.Engine.Strategies;
+using OpenNest.Geometry;
+using OpenNest.Math;
+using System.Diagnostics;
+
+namespace OpenNest.Engine.Fill;
+
+public class StripeFiller
+{
+    private const int MaxPairCandidates = 5;
+    private const int MaxConvergenceIterations = 20;
+    private const int AngleSamples = 36;
+
+    private readonly FillContext _context;
+    private readonly NestDirection _primaryAxis;
+
+    public StripeFiller(FillContext context, NestDirection primaryAxis)
+    {
+        _context = context;
+        _primaryAxis = primaryAxis;
+    }
+
+    public List<Part> Fill()
+    {
+        // Placeholder — implemented in Task 3
+        return new List<Part>();
+    }
+
+    public static double FindAngleForTargetSpan(
+        List<Part> patternParts, double targetSpan, NestDirection axis)
+    {
+        var bestAngle = 0.0;
+        var bestDiff = double.MaxValue;
+        var samples = new (double angle, double span)[AngleSamples + 1];
+
+        for (var i = 0; i <= AngleSamples; i++)
+        {
+            var angle = i * Angle.HalfPI / AngleSamples;
+            var span = GetRotatedSpan(patternParts, angle, axis);
+            samples[i] = (angle, span);
+
+            var diff = System.Math.Abs(span - targetSpan);
+            if (diff < bestDiff)
+            {
+                bestDiff = diff;
+                bestAngle = angle;
+            }
+        }
+
+        if (bestDiff < Tolerance.Epsilon)
+            return bestAngle;
+
+        for (var i = 0; i < samples.Length - 1; i++)
+        {
+            var (a1, s1) = samples[i];
+            var (a2, s2) = samples[i + 1];
+
+            if ((s1 <= targetSpan && targetSpan <= s2) ||
+                (s2 <= targetSpan && targetSpan <= s1))
+            {
+                var result = BisectForTarget(patternParts, a1, a2, targetSpan, axis);
+                var resultSpan = GetRotatedSpan(patternParts, result, axis);
+                var resultDiff = System.Math.Abs(resultSpan - targetSpan);
+
+                if (resultDiff < bestDiff)
+                {
+                    bestDiff = resultDiff;
+                    bestAngle = result;
+                }
+            }
+        }
+
+        return bestAngle;
+    }
+
+    private static double BisectForTarget(
+        List<Part> patternParts, double lo, double hi,
+        double targetSpan, NestDirection axis)
+    {
+        var bestAngle = lo;
+        var bestDiff = double.MaxValue;
+
+        for (var i = 0; i < 30; i++)
+        {
+            var mid = (lo + hi) / 2;
+            var span = GetRotatedSpan(patternParts, mid, axis);
+            var diff = System.Math.Abs(span - targetSpan);
+
+            if (diff < bestDiff)
+            {
+                bestDiff = diff;
+                bestAngle = mid;
+            }
+
+            if (diff < Tolerance.Epsilon)
+                break;
+
+            var loSpan = GetRotatedSpan(patternParts, lo, axis);
+            if ((loSpan < targetSpan && span < targetSpan) ||
+                (loSpan > targetSpan && span > targetSpan))
+                lo = mid;
+            else
+                hi = mid;
+        }
+
+        return bestAngle;
+    }
+
+    private static double GetRotatedSpan(
+        List<Part> patternParts, double angle, NestDirection axis)
+    {
+        var rotated = FillHelpers.BuildRotatedPattern(patternParts, angle);
+        return axis == NestDirection.Horizontal
+            ? rotated.BoundingBox.Width
+            : rotated.BoundingBox.Length;
+    }
+
+    private static double GetDimension(Box box, NestDirection axis)
+    {
+        return axis == NestDirection.Horizontal ? box.Width : box.Length;
+    }
+}
diff --git a/OpenNest.Tests/Strategies/StripeFillerTests.cs b/OpenNest.Tests/Strategies/StripeFillerTests.cs
new file mode 100644
index 0000000..425285d
--- /dev/null
+++ b/OpenNest.Tests/Strategies/StripeFillerTests.cs
@@ -0,0 +1,63 @@
+using OpenNest.Engine.Fill;
+using OpenNest.Engine.Strategies;
+using OpenNest.Geometry;
+
+namespace OpenNest.Tests.Strategies;
+
+public class StripeFillerTests
+{
+    private static Drawing MakeRectDrawing(double w, double h, string name = "rect")
+    {
+        var pgm = new OpenNest.CNC.Program();
+        pgm.Codes.Add(new OpenNest.CNC.RapidMove(new Vector(0, 0)));
+        pgm.Codes.Add(new OpenNest.CNC.LinearMove(new Vector(w, 0)));
+        pgm.Codes.Add(new OpenNest.CNC.LinearMove(new Vector(w, h)));
+        pgm.Codes.Add(new OpenNest.CNC.LinearMove(new Vector(0, h)));
+        pgm.Codes.Add(new OpenNest.CNC.LinearMove(new Vector(0, 0)));
+        return new Drawing(name, pgm);
+    }
+
+    private static Pattern MakeRectPattern(double w, double h)
+    {
+        var drawing = MakeRectDrawing(w, h);
+        var part = Part.CreateAtOrigin(drawing);
+        var pattern = new Pattern();
+        pattern.Parts.Add(part);
+        pattern.UpdateBounds();
+        return pattern;
+    }
+
+    [Fact]
+    public void FindAngleForTargetSpan_ZeroAngle_WhenAlreadyMatches()
+    {
+        var pattern = MakeRectPattern(20, 10);
+        var angle = StripeFiller.FindAngleForTargetSpan(
+            pattern.Parts, 20.0, NestDirection.Horizontal);
+
+        Assert.True(System.Math.Abs(angle) < 0.05,
+            $"Expected angle near 0, got {OpenNest.Math.Angle.ToDegrees(angle):F1}°");
+    }
+
+    [Fact]
+    public void FindAngleForTargetSpan_FindsLargerSpan()
+    {
+        var pattern = MakeRectPattern(20, 10);
+        var angle = StripeFiller.FindAngleForTargetSpan(
+            pattern.Parts, 22.0, NestDirection.Horizontal);
+
+        var rotated = FillHelpers.BuildRotatedPattern(pattern.Parts, angle);
+        var span = rotated.BoundingBox.Width;
+        Assert.True(System.Math.Abs(span - 22.0) < 0.5,
+            $"Expected span ~22, got {span:F2} at {OpenNest.Math.Angle.ToDegrees(angle):F1}°");
+    }
+
+    [Fact]
+    public void FindAngleForTargetSpan_ReturnsClosest_WhenUnreachable()
+    {
+        var pattern = MakeRectPattern(20, 10);
+        var angle = StripeFiller.FindAngleForTargetSpan(
+            pattern.Parts, 30.0, NestDirection.Horizontal);
+
+        Assert.True(angle >= 0 && angle <= System.Math.PI / 2);
+    }
+}