diff --git a/tests/kernel-cases/inspect/cov-continuity-box-edge-is-sharp/expected.json b/tests/kernel-cases/inspect/cov-continuity-box-edge-is-sharp/expected.json
new file mode 100644
index 0000000000..1468968e94
--- /dev/null
+++ b/tests/kernel-cases/inspect/cov-continuity-box-edge-is-sharp/expected.json
@@ -0,0 +1,34 @@
+{
+ "sources": [],
+ "what": "the order at a box's square edge",
+ "source": "analytic",
+ "method": "box 40 x 30 x 20 with a corner at the origin: the faces y = 0 and z = 0 meet at 90 deg along their edge: g0, sharp, normal angle 90",
+ "results": [
+  {
+   "command": 1,
+   "pointer": "/summary/edges",
+   "value": 1
+  },
+  {
+   "command": 1,
+   "pointer": "/bodies/0/edges/0/order",
+   "value": "g0"
+  },
+  {
+   "command": 1,
+   "pointer": "/bodies/0/edges/0/verdict",
+   "value": "sharp"
+  },
+  {
+   "command": 1,
+   "pointer": "/bodies/0/edges/0/normal_angle_deg/value",
+   "value": 90.0
+  },
+  {
+   "command": 1,
+   "pointer": "/bodies/0/edges/0/gap_mm/value",
+   "value": 0.0,
+   "rel": 1e-06
+  }
+ ]
+}
diff --git a/tests/kernel-cases/inspect/cov-continuity-box-edge-is-sharp/recipe.json b/tests/kernel-cases/inspect/cov-continuity-box-edge-is-sharp/recipe.json
new file mode 100644
index 0000000000..6e23fd24ae
--- /dev/null
+++ b/tests/kernel-cases/inspect/cov-continuity-box-edge-is-sharp/recipe.json
@@ -0,0 +1,27 @@
+{
+ "commands": [
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 40,
+    "width": 30,
+    "height": 20,
+    "body_name": "Box",
+    "operation": "new"
+   }
+  },
+  {
+   "command": "inspect.continuity",
+   "params": {
+    "body": "Box",
+    "edges": [
+     [
+      20,
+      0,
+      0
+     ]
+    ]
+   }
+  }
+ ]
+}
diff --git a/tests/kernel-cases/inspect/cov-continuity-fillet-seams-are-g1/expected.json b/tests/kernel-cases/inspect/cov-continuity-fillet-seams-are-g1/expected.json
new file mode 100644
index 0000000000..9a93b77dcd
--- /dev/null
+++ b/tests/kernel-cases/inspect/cov-continuity-fillet-seams-are-g1/expected.json
@@ -0,0 +1,43 @@
+{
+ "sources": [],
+ "what": "the order where a round meets the faces either side",
+ "source": "analytic",
+ "method": "box 40 x 30 x 20 with a corner at the origin, its top-front edge (y 0, z 20) rounded r 3: the round meets the top (at y 3) and the front (at z 17) tangent, curvature jumping 0 to 1/3: g1, jump 1/3 per mm",
+ "results": [
+  {
+   "command": 2,
+   "pointer": "/summary/edges",
+   "value": 2
+  },
+  {
+   "command": 2,
+   "pointer": "/bodies/0/edges/0/order",
+   "value": "g1"
+  },
+  {
+   "command": 2,
+   "pointer": "/bodies/0/edges/1/order",
+   "value": "g1"
+  },
+  {
+   "command": 2,
+   "pointer": "/bodies/0/edges/0/curvature_jump_per_mm/value",
+   "value": 0.3333333333333333
+  },
+  {
+   "command": 2,
+   "pointer": "/bodies/0/edges/1/curvature_jump_per_mm/value",
+   "value": 0.3333333333333333
+  },
+  {
+   "command": 2,
+   "pointer": "/bodies/0/edges/0/verdict",
+   "value": "curvature_jump"
+  },
+  {
+   "command": 2,
+   "pointer": "/bodies/0/edges/1/verdict",
+   "value": "curvature_jump"
+  }
+ ]
+}
diff --git a/tests/kernel-cases/inspect/cov-continuity-fillet-seams-are-g1/recipe.json b/tests/kernel-cases/inspect/cov-continuity-fillet-seams-are-g1/recipe.json
new file mode 100644
index 0000000000..817d866484
--- /dev/null
+++ b/tests/kernel-cases/inspect/cov-continuity-fillet-seams-are-g1/recipe.json
@@ -0,0 +1,45 @@
+{
+ "commands": [
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 40,
+    "width": 30,
+    "height": 20,
+    "body_name": "Box",
+    "operation": "new"
+   }
+  },
+  {
+   "command": "solid.fillet",
+   "params": {
+    "edges": [
+     [
+      20,
+      0,
+      20
+     ]
+    ],
+    "radius": 3
+   }
+  },
+  {
+   "command": "inspect.continuity",
+   "params": {
+    "body": "Box",
+    "edges": [
+     [
+      20,
+      3,
+      20
+     ],
+     [
+      20,
+      0,
+      17
+     ]
+    ]
+   }
+  }
+ ]
+}
diff --git a/tests/kernel-cases/inspect/cov-continuity-refuses-too-few-samples/expected.json b/tests/kernel-cases/inspect/cov-continuity-refuses-too-few-samples/expected.json
new file mode 100644
index 0000000000..acb8d956e8
--- /dev/null
+++ b/tests/kernel-cases/inspect/cov-continuity-refuses-too-few-samples/expected.json
@@ -0,0 +1,8 @@
+{
+ "sources": [],
+ "what": "continuity with 2 stations a seam",
+ "source": "analytic",
+ "method": "box 40 x 30 x 20 with a corner at the origin: a seam needs its two ends and one station between: 2 is refused",
+ "outcome": "refused",
+ "refusal": "`samples` must be 3\u2026257 stations along each edge"
+}
diff --git a/tests/kernel-cases/inspect/cov-continuity-refuses-too-few-samples/recipe.json b/tests/kernel-cases/inspect/cov-continuity-refuses-too-few-samples/recipe.json
new file mode 100644
index 0000000000..073ae40ea2
--- /dev/null
+++ b/tests/kernel-cases/inspect/cov-continuity-refuses-too-few-samples/recipe.json
@@ -0,0 +1,21 @@
+{
+ "commands": [
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 40,
+    "width": 30,
+    "height": 20,
+    "body_name": "Box",
+    "operation": "new"
+   }
+  },
+  {
+   "command": "inspect.continuity",
+   "params": {
+    "body": "Box",
+    "samples": 2
+   }
+  }
+ ]
+}