diff --git a/tests/kernel-cases/booleans/cov-pattern-path-bodies-turn-along-an-arc/expected.json b/tests/kernel-cases/booleans/cov-pattern-path-bodies-turn-along-an-arc/expected.json
new file mode 100644
index 0000000000..64a022f8fc
--- /dev/null
+++ b/tests/kernel-cases/booleans/cov-pattern-path-bodies-turn-along-an-arc/expected.json
@@ -0,0 +1,20 @@
+{
+ "sources": [],
+ "what": "a body patterned 3 times along a half circle r20 with orientation path: each copy turns with the tangent",
+ "source": "analytic",
+ "method": "instances at 0, 90 and 180 deg along the arc, each turned with the tangent: the 4x2x2 key (long side radial) stays radial, at (0,20) 2 wide in X and 4 long in Y (y 18..22). Unturned it would be 4 wide in X (x -2..2, y 19..21). Three keys: V = 3*16, bbox x -22..22, y -1..22, z 0..2",
+ "body_count": 3,
+ "volume_mm3": 48.0,
+ "bbox": {
+  "min": [
+   -22,
+   -1,
+   0
+  ],
+  "max": [
+   22,
+   22,
+   2
+  ]
+ }
+}
diff --git a/tests/kernel-cases/booleans/cov-pattern-path-bodies-turn-along-an-arc/recipe.json b/tests/kernel-cases/booleans/cov-pattern-path-bodies-turn-along-an-arc/recipe.json
new file mode 100644
index 0000000000..dc1c6cd744
--- /dev/null
+++ b/tests/kernel-cases/booleans/cov-pattern-path-bodies-turn-along-an-arc/recipe.json
@@ -0,0 +1,61 @@
+{
+ "commands": [
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 4,
+    "width": 2,
+    "height": 2,
+    "center": [
+     20,
+     0,
+     1
+    ],
+    "body_name": "Key"
+   }
+  },
+  {
+   "command": "sketch.create",
+   "params": {
+    "plane": "XY",
+    "name": "Path"
+   }
+  },
+  {
+   "command": "sketch.arc.center_point",
+   "params": {
+    "center": [
+     0,
+     0
+    ],
+    "start": [
+     20,
+     0
+    ],
+    "sweep": 180,
+    "id": "arc"
+   }
+  },
+  {
+   "command": "sketch.finish",
+   "params": {
+    "sketch": "Path"
+   }
+  },
+  {
+   "command": "solid.pattern.path",
+   "params": {
+    "bodies": [
+     "Key"
+    ],
+    "path_sketch": "Path",
+    "path": [
+     "arc"
+    ],
+    "count": 3,
+    "distance": 62.83185307179586,
+    "orientation": "path"
+   }
+  }
+ ]
+}
diff --git a/tests/kernel-cases/booleans/cov-pattern-path-bosses-along-a-line/expected.json b/tests/kernel-cases/booleans/cov-pattern-path-bosses-along-a-line/expected.json
new file mode 100644
index 0000000000..acc43ee8ba
--- /dev/null
+++ b/tests/kernel-cases/booleans/cov-pattern-path-bosses-along-a-line/expected.json
@@ -0,0 +1,21 @@
+{
+ "sources": [],
+ "what": "a boss joined to a plate, patterned 5 times 20 mm apart along a sketch line",
+ "source": "analytic",
+ "method": "plate 100x20x5 = 10000 plus 5 bosses r3 h5 at x = 10, 30 ... 90: 5 pi 9 5; faces: plate 6 + 2 a boss (side, top) = 16",
+ "body_count": 1,
+ "faces": 16,
+ "volume_mm3": 10706.858347057703,
+ "bbox": {
+  "min": [
+   0,
+   0,
+   0
+  ],
+  "max": [
+   100,
+   20,
+   10
+  ]
+ }
+}
diff --git a/tests/kernel-cases/booleans/cov-pattern-path-bosses-along-a-line/recipe.json b/tests/kernel-cases/booleans/cov-pattern-path-bosses-along-a-line/recipe.json
new file mode 100644
index 0000000000..8d71d29b55
--- /dev/null
+++ b/tests/kernel-cases/booleans/cov-pattern-path-bosses-along-a-line/recipe.json
@@ -0,0 +1,73 @@
+{
+ "commands": [
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 100,
+    "width": 20,
+    "height": 5,
+    "body_name": "Plate"
+   }
+  },
+  {
+   "command": "solid.cylinder",
+   "params": {
+    "base": [
+     10,
+     10,
+     5
+    ],
+    "radius": 3,
+    "height": 5,
+    "operation": "join",
+    "name": "Boss"
+   }
+  },
+  {
+   "command": "sketch.create",
+   "params": {
+    "plane": "XY",
+    "name": "Path"
+   }
+  },
+  {
+   "command": "sketch.line",
+   "params": {
+    "points": [
+     [
+      10,
+      10
+     ],
+     [
+      90,
+      10
+     ]
+    ],
+    "ids": [
+     "p1"
+    ],
+    "infer": false
+   }
+  },
+  {
+   "command": "sketch.finish",
+   "params": {
+    "sketch": "Path"
+   }
+  },
+  {
+   "command": "solid.pattern.path",
+   "params": {
+    "features": [
+     "Boss"
+    ],
+    "path_sketch": "Path",
+    "path": [
+     "p1"
+    ],
+    "count": 5,
+    "spacing": 20
+   }
+  }
+ ]
+}
diff --git a/tests/kernel-cases/booleans/cov-pattern-path-past-the-end-refused/expected.json b/tests/kernel-cases/booleans/cov-pattern-path-past-the-end-refused/expected.json
new file mode 100644
index 0000000000..4114b4bcd9
--- /dev/null
+++ b/tests/kernel-cases/booleans/cov-pattern-path-past-the-end-refused/expected.json
@@ -0,0 +1,8 @@
+{
+ "sources": [],
+ "what": "6 instances 20 mm apart need 100 mm of an 80 mm path: refused",
+ "source": "analytic",
+ "method": "(6 - 1) * 20 = 100 > 80: the last instances would leave the path; a clean refusal naming its length",
+ "outcome": "refused",
+ "refusal": "run past the end of the path (80.000 mm long)"
+}
diff --git a/tests/kernel-cases/booleans/cov-pattern-path-past-the-end-refused/recipe.json b/tests/kernel-cases/booleans/cov-pattern-path-past-the-end-refused/recipe.json
new file mode 100644
index 0000000000..a3c0621a0c
--- /dev/null
+++ b/tests/kernel-cases/booleans/cov-pattern-path-past-the-end-refused/recipe.json
@@ -0,0 +1,73 @@
+{
+ "commands": [
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 100,
+    "width": 20,
+    "height": 5,
+    "body_name": "Plate"
+   }
+  },
+  {
+   "command": "solid.cylinder",
+   "params": {
+    "base": [
+     10,
+     10,
+     5
+    ],
+    "radius": 3,
+    "height": 5,
+    "operation": "join",
+    "name": "Boss"
+   }
+  },
+  {
+   "command": "sketch.create",
+   "params": {
+    "plane": "XY",
+    "name": "Path"
+   }
+  },
+  {
+   "command": "sketch.line",
+   "params": {
+    "points": [
+     [
+      10,
+      10
+     ],
+     [
+      90,
+      10
+     ]
+    ],
+    "ids": [
+     "p1"
+    ],
+    "infer": false
+   }
+  },
+  {
+   "command": "sketch.finish",
+   "params": {
+    "sketch": "Path"
+   }
+  },
+  {
+   "command": "solid.pattern.path",
+   "params": {
+    "features": [
+     "Boss"
+    ],
+    "path_sketch": "Path",
+    "path": [
+     "p1"
+    ],
+    "count": 6,
+    "spacing": 20
+   }
+  }
+ ]
+}