Kernel rig: construction cases, the midplane of parallel faces, of a corner, and of a plane with itself

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

tests/kernel-cases/construction/cov-plane-midplane-between-parallel-planes/expected.json

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+{
+ "sources": [],
+ "what": "the midplane of XY and a box's top",
+ "source": "analytic",
+ "method": "box 40 x 30 x 20 with a corner at the origin (x 0..40, y 0..30, z 0..20): halfway between z = 0 and z = 20: z = 10",
+ "construction": {
+  "M": {
+   "plane": {
+    "through": [
+     5,
+     5,
+     10
+    ],
+    "normal": [
+     0,
+     0,
+     1
+    ]
+   }
+  }
+ }
+}

tests/kernel-cases/construction/cov-plane-midplane-between-parallel-planes/recipe.json

@@ -0,0 +1,27 @@
+{
+ "commands": [
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 40,
+    "width": 30,
+    "height": 20,
+    "body_name": "Box"
+   }
+  },
+  {
+   "command": "construct.plane.midplane",
+   "params": {
+    "a": "XY",
+    "b": {
+     "face": [
+      20,
+      15,
+      20
+     ]
+    },
+    "name": "M"
+   }
+  }
+ ]
+}

tests/kernel-cases/construction/cov-plane-midplane-bisects-a-corner/expected.json

@@ -0,0 +1,22 @@
+{
+ "sources": [],
+ "what": "the midplane of two box sides meeting at a corner",
+ "source": "analytic",
+ "method": "box 40 x 30 x 20 with a corner at the origin (x 0..40, y 0..30, z 0..20): x = 40 and y = 30 meet on the vertical line through (40,30); the plane bisecting the box's 90 deg corner holds (1,1,0) and Z: normal (1,-1,0), through (40,30,0)",
+ "construction": {
+  "M": {
+   "plane": {
+    "through": [
+     40,
+     30,
+     0
+    ],
+    "normal": [
+     1,
+     -1,
+     0
+    ]
+   }
+  }
+ }
+}

tests/kernel-cases/construction/cov-plane-midplane-bisects-a-corner/recipe.json

@@ -0,0 +1,33 @@
+{
+ "commands": [
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 40,
+    "width": 30,
+    "height": 20,
+    "body_name": "Box"
+   }
+  },
+  {
+   "command": "construct.plane.midplane",
+   "params": {
+    "a": {
+     "face": [
+      40,
+      15,
+      10
+     ]
+    },
+    "b": {
+     "face": [
+      20,
+      30,
+      10
+     ]
+    },
+    "name": "M"
+   }
+  }
+ ]
+}

tests/kernel-cases/construction/cov-plane-midplane-of-a-plane-with-itself/expected.json

@@ -0,0 +1,22 @@
+{
+ "sources": [],
+ "what": "the midplane of a plane and itself",
+ "source": "analytic",
+ "method": "halfway between XY and XY: XY",
+ "construction": {
+  "M": {
+   "plane": {
+    "through": [
+     0,
+     0,
+     0
+    ],
+    "normal": [
+     0,
+     0,
+     1
+    ]
+   }
+  }
+ }
+}

tests/kernel-cases/construction/cov-plane-midplane-of-a-plane-with-itself/recipe.json

@@ -0,0 +1,12 @@
+{
+ "commands": [
+  {
+   "command": "construct.plane.midplane",
+   "params": {
+    "a": "XY",
+    "b": "XY",
+    "name": "M"
+   }
+  }
+ ]
+}