From 06e802ffee76f345a08385c2cd3604db6703974f Mon Sep 17 00:00:00 2001
From: jyviko <2501648+jyviko@users.noreply.github.com>
Date: Fri, 30 Oct 2026 06:07:18 -0400
Subject: [PATCH] Kernel rig: everyday rounds of an L-bracket's bend

Inside bend r3, outside r5, both concentric (r3 and r8), the inside r35 using up both
inside faces, r36 refused naming 35, and the inside bend Type: Curvature.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
---
 .../expected.json                             | 24 ++++++++
 .../recipe.json                               | 61 +++++++++++++++++++
 .../expected.json                             | 24 ++++++++
 .../recipe.json                               | 49 +++++++++++++++
 .../expected.json                             | 24 ++++++++
 .../recipe.json                               | 48 +++++++++++++++
 .../expected.json                             | 21 +++++++
 .../recipe.json                               | 48 +++++++++++++++
 .../expected.json                             |  8 +++
 .../recipe.json                               | 48 +++++++++++++++
 .../expected.json                             | 24 ++++++++
 .../recipe.json                               | 48 +++++++++++++++
 12 files changed, 427 insertions(+)
 create mode 100644 tests/kernel-cases/fillets/every-l-bracket-both-bends-r3-r8-concentric/expected.json
 create mode 100644 tests/kernel-cases/fillets/every-l-bracket-both-bends-r3-r8-concentric/recipe.json
 create mode 100644 tests/kernel-cases/fillets/every-l-bracket-inside-bend-r3-curvature/expected.json
 create mode 100644 tests/kernel-cases/fillets/every-l-bracket-inside-bend-r3-curvature/recipe.json
 create mode 100644 tests/kernel-cases/fillets/every-l-bracket-inside-bend-r3/expected.json
 create mode 100644 tests/kernel-cases/fillets/every-l-bracket-inside-bend-r3/recipe.json
 create mode 100644 tests/kernel-cases/fillets/every-l-bracket-inside-bend-r35-uses-both-faces/expected.json
 create mode 100644 tests/kernel-cases/fillets/every-l-bracket-inside-bend-r35-uses-both-faces/recipe.json
 create mode 100644 tests/kernel-cases/fillets/every-l-bracket-inside-bend-r36-refused/expected.json
 create mode 100644 tests/kernel-cases/fillets/every-l-bracket-inside-bend-r36-refused/recipe.json
 create mode 100644 tests/kernel-cases/fillets/every-l-bracket-outside-bend-r5/expected.json
 create mode 100644 tests/kernel-cases/fillets/every-l-bracket-outside-bend-r5/recipe.json

diff --git a/tests/kernel-cases/fillets/every-l-bracket-both-bends-r3-r8-concentric/expected.json b/tests/kernel-cases/fillets/every-l-bracket-both-bends-r3-r8-concentric/expected.json
new file mode 100644
index 0000000000..98ea33ebb3
--- /dev/null
+++ b/tests/kernel-cases/fillets/every-l-bracket-both-bends-r3-r8-concentric/expected.json
@@ -0,0 +1,24 @@
+{
+ "sources": [],
+ "what": "an L-bracket's inside bend rounded r3, then its outside bend r8 = 3 + its thickness: concentric rounds, a bend of even thickness",
+ "source": "analytic",
+ "method": "L-bracket: the legs 40x20x5 (x 0..40, z 0..5) and 5x20x40 (x 0..5, z 0..40) joined, 20 deep in y: V0 = 4000 + 4000 - 500 = 7500, 8 faces. Both rounds' centre lines are (8, y, 8): V = 7500 + 20 (1-pi/4) 9 - 20 (1-pi/4) 64 = 7263.9380. Check: in the square [0,8]^2 the bend is the quarter annulus pi (64 - 9)/4 against the L's 64 - 9 = 55 there: 20 (pi 55/4 - 55) = -236.0620. Faces 10.",
+ "body_count": 1,
+ "volume_mm3": 7263.937979737193,
+ "faces": 10,
+ "bbox": {
+  "min": [
+   0,
+   0,
+   0
+  ],
+  "max": [
+   40,
+   20,
+   40
+  ]
+ },
+ "continuity": {
+  "order": "g1"
+ }
+}
\ No newline at end of file
diff --git a/tests/kernel-cases/fillets/every-l-bracket-both-bends-r3-r8-concentric/recipe.json b/tests/kernel-cases/fillets/every-l-bracket-both-bends-r3-r8-concentric/recipe.json
new file mode 100644
index 0000000000..9367689c1c
--- /dev/null
+++ b/tests/kernel-cases/fillets/every-l-bracket-both-bends-r3-r8-concentric/recipe.json
@@ -0,0 +1,61 @@
+{
+ "commands": [
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 40,
+    "width": 20,
+    "height": 5,
+    "corner": [
+     0,
+     0,
+     0
+    ],
+    "body_name": "Bracket"
+   }
+  },
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 5,
+    "width": 20,
+    "height": 40,
+    "corner": [
+     0,
+     0,
+     0
+    ],
+    "operation": "join",
+    "targets": [
+     "Bracket"
+    ]
+   }
+  },
+  {
+   "command": "solid.fillet",
+   "params": {
+    "edges": [
+     [
+      5,
+      10,
+      5
+     ]
+    ],
+    "radius": 3
+   }
+  },
+  {
+   "command": "solid.fillet",
+   "params": {
+    "edges": [
+     [
+      0,
+      10,
+      0
+     ]
+    ],
+    "radius": 8
+   }
+  }
+ ]
+}
\ No newline at end of file
diff --git a/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r3-curvature/expected.json b/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r3-curvature/expected.json
new file mode 100644
index 0000000000..88a3748a13
--- /dev/null
+++ b/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r3-curvature/expected.json
@@ -0,0 +1,24 @@
+{
+ "sources": [],
+ "what": "an L-bracket's inside bend rounded curvature-continuous (Type: Curvature) size 3",
+ "source": "analytic",
+ "method": "L-bracket: the legs 40x20x5 (x 0..40, z 0..5) and 5x20x40 (x 0..5, z 0..40) joined, 20 deep in y: V0 = 4000 + 4000 - 500 = 7500, 8 faces. The concave edge between two planes square to each other, its ends on the planar faces y = 0 and 20: the section is the quintic Bezier of setback 3 (fillets/862), area 113/756 9 = 1.345238, added along 20: V = 7526.9048. Faces 9; both seams G2.",
+ "body_count": 1,
+ "volume_mm3": 7526.9047619047615,
+ "faces": 9,
+ "bbox": {
+  "min": [
+   0,
+   0,
+   0
+  ],
+  "max": [
+   40,
+   20,
+   40
+  ]
+ },
+ "continuity": {
+  "order": "g2"
+ }
+}
\ No newline at end of file
diff --git a/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r3-curvature/recipe.json b/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r3-curvature/recipe.json
new file mode 100644
index 0000000000..266f1ee45f
--- /dev/null
+++ b/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r3-curvature/recipe.json
@@ -0,0 +1,49 @@
+{
+ "commands": [
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 40,
+    "width": 20,
+    "height": 5,
+    "corner": [
+     0,
+     0,
+     0
+    ],
+    "body_name": "Bracket"
+   }
+  },
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 5,
+    "width": 20,
+    "height": 40,
+    "corner": [
+     0,
+     0,
+     0
+    ],
+    "operation": "join",
+    "targets": [
+     "Bracket"
+    ]
+   }
+  },
+  {
+   "command": "solid.fillet",
+   "params": {
+    "edges": [
+     [
+      5,
+      10,
+      5
+     ]
+    ],
+    "radius": 3,
+    "type": "curvature"
+   }
+  }
+ ]
+}
\ No newline at end of file
diff --git a/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r3/expected.json b/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r3/expected.json
new file mode 100644
index 0000000000..01e3f09b16
--- /dev/null
+++ b/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r3/expected.json
@@ -0,0 +1,24 @@
+{
+ "sources": [],
+ "what": "the inside bend of an L-bracket rounded r3",
+ "source": "analytic",
+ "method": "L-bracket: the legs 40x20x5 (x 0..40, z 0..5) and 5x20x40 (x 0..5, z 0..40) joined, 20 deep in y: V0 = 4000 + 4000 - 500 = 7500, 8 faces. The concave edge (x = 5, z = 5) gains the spandrel (1-pi/4) 9 = 1.931417 along its 20: V = 7500 + 38.6283 = 7538.6283. Faces 9.",
+ "body_count": 1,
+ "volume_mm3": 7538.628330588459,
+ "faces": 9,
+ "bbox": {
+  "min": [
+   0,
+   0,
+   0
+  ],
+  "max": [
+   40,
+   20,
+   40
+  ]
+ },
+ "continuity": {
+  "order": "g1"
+ }
+}
\ No newline at end of file
diff --git a/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r3/recipe.json b/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r3/recipe.json
new file mode 100644
index 0000000000..c00c653bca
--- /dev/null
+++ b/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r3/recipe.json
@@ -0,0 +1,48 @@
+{
+ "commands": [
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 40,
+    "width": 20,
+    "height": 5,
+    "corner": [
+     0,
+     0,
+     0
+    ],
+    "body_name": "Bracket"
+   }
+  },
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 5,
+    "width": 20,
+    "height": 40,
+    "corner": [
+     0,
+     0,
+     0
+    ],
+    "operation": "join",
+    "targets": [
+     "Bracket"
+    ]
+   }
+  },
+  {
+   "command": "solid.fillet",
+   "params": {
+    "edges": [
+     [
+      5,
+      10,
+      5
+     ]
+    ],
+    "radius": 3
+   }
+  }
+ ]
+}
\ No newline at end of file
diff --git a/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r35-uses-both-faces/expected.json b/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r35-uses-both-faces/expected.json
new file mode 100644
index 0000000000..59fc7a7f1d
--- /dev/null
+++ b/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r35-uses-both-faces/expected.json
@@ -0,0 +1,21 @@
+{
+ "sources": [],
+ "what": "an L-bracket's inside bend rounded r35, exactly as long as both inside faces: the round uses them up and meets the legs' ends at their edges",
+ "source": "analytic",
+ "method": "L-bracket: the legs 40x20x5 (x 0..40, z 0..5) and 5x20x40 (x 0..5, z 0..40) joined, 20 deep in y: V0 = 4000 + 4000 - 500 = 7500, 8 faces. The inside faces run 35 from the bend (x = 5..40 on the foot's top, z = 5..40 on the upright's inner face); the r35 round is tangent to them at their far edges (x = 40, z = 40), so both are used up. Added = 20 (1-pi/4) 35^2 = 5257.7450. V = 12757.7450. Faces 8 - 2 + 1 = 7. No continuity check: with both faces it was tangent to used up, the round meets only the legs' end faces (x = 40, z = 40), square to it (creases), so no tangent seam is left to measure.",
+ "body_count": 1,
+ "volume_mm3": 12757.744996762518,
+ "faces": 7,
+ "bbox": {
+  "min": [
+   0,
+   0,
+   0
+  ],
+  "max": [
+   40,
+   20,
+   40
+  ]
+ }
+}
\ No newline at end of file
diff --git a/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r35-uses-both-faces/recipe.json b/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r35-uses-both-faces/recipe.json
new file mode 100644
index 0000000000..63c750b54c
--- /dev/null
+++ b/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r35-uses-both-faces/recipe.json
@@ -0,0 +1,48 @@
+{
+ "commands": [
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 40,
+    "width": 20,
+    "height": 5,
+    "corner": [
+     0,
+     0,
+     0
+    ],
+    "body_name": "Bracket"
+   }
+  },
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 5,
+    "width": 20,
+    "height": 40,
+    "corner": [
+     0,
+     0,
+     0
+    ],
+    "operation": "join",
+    "targets": [
+     "Bracket"
+    ]
+   }
+  },
+  {
+   "command": "solid.fillet",
+   "params": {
+    "edges": [
+     [
+      5,
+      10,
+      5
+     ]
+    ],
+    "radius": 35
+   }
+  }
+ ]
+}
\ No newline at end of file
diff --git a/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r36-refused/expected.json b/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r36-refused/expected.json
new file mode 100644
index 0000000000..33712e6559
--- /dev/null
+++ b/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r36-refused/expected.json
@@ -0,0 +1,8 @@
+{
+ "sources": [],
+ "what": "an L-bracket's inside bend rounded r36, past both inside faces (35 long): refused, naming the largest radius that fits",
+ "source": "invariants",
+ "method": "a concave round adds material, and an r36 one would touch the inside faces 36 from the bend, past their 35: it would hang over the legs' ends. Owner rule: concave overflow stays refused, naming the largest that fits: 35 (every-l-bracket-inside-bend-r35-uses-both-faces), at the request's three significant digits (step 0.01).",
+ "outcome": "refused",
+ "refusal": "the largest radius that fits is 35 mm"
+}
\ No newline at end of file
diff --git a/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r36-refused/recipe.json b/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r36-refused/recipe.json
new file mode 100644
index 0000000000..e970061b8d
--- /dev/null
+++ b/tests/kernel-cases/fillets/every-l-bracket-inside-bend-r36-refused/recipe.json
@@ -0,0 +1,48 @@
+{
+ "commands": [
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 40,
+    "width": 20,
+    "height": 5,
+    "corner": [
+     0,
+     0,
+     0
+    ],
+    "body_name": "Bracket"
+   }
+  },
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 5,
+    "width": 20,
+    "height": 40,
+    "corner": [
+     0,
+     0,
+     0
+    ],
+    "operation": "join",
+    "targets": [
+     "Bracket"
+    ]
+   }
+  },
+  {
+   "command": "solid.fillet",
+   "params": {
+    "edges": [
+     [
+      5,
+      10,
+      5
+     ]
+    ],
+    "radius": 36
+   }
+  }
+ ]
+}
\ No newline at end of file
diff --git a/tests/kernel-cases/fillets/every-l-bracket-outside-bend-r5/expected.json b/tests/kernel-cases/fillets/every-l-bracket-outside-bend-r5/expected.json
new file mode 100644
index 0000000000..52599252bc
--- /dev/null
+++ b/tests/kernel-cases/fillets/every-l-bracket-outside-bend-r5/expected.json
@@ -0,0 +1,24 @@
+{
+ "sources": [],
+ "what": "the outside bend of an L-bracket rounded r5",
+ "source": "analytic",
+ "method": "L-bracket: the legs 40x20x5 (x 0..40, z 0..5) and 5x20x40 (x 0..5, z 0..40) joined, 20 deep in y: V0 = 4000 + 4000 - 500 = 7500, 8 faces. The convex edge (x = 0, z = 0) loses the spandrel (1-pi/4) 25 = 5.365046 along its 20: V = 7500 - 107.3009 = 7392.6991. Faces 9.",
+ "body_count": 1,
+ "volume_mm3": 7392.6990816987245,
+ "faces": 9,
+ "bbox": {
+  "min": [
+   0,
+   0,
+   0
+  ],
+  "max": [
+   40,
+   20,
+   40
+  ]
+ },
+ "continuity": {
+  "order": "g1"
+ }
+}
\ No newline at end of file
diff --git a/tests/kernel-cases/fillets/every-l-bracket-outside-bend-r5/recipe.json b/tests/kernel-cases/fillets/every-l-bracket-outside-bend-r5/recipe.json
new file mode 100644
index 0000000000..fd56175bcf
--- /dev/null
+++ b/tests/kernel-cases/fillets/every-l-bracket-outside-bend-r5/recipe.json
@@ -0,0 +1,48 @@
+{
+ "commands": [
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 40,
+    "width": 20,
+    "height": 5,
+    "corner": [
+     0,
+     0,
+     0
+    ],
+    "body_name": "Bracket"
+   }
+  },
+  {
+   "command": "solid.box",
+   "params": {
+    "length": 5,
+    "width": 20,
+    "height": 40,
+    "corner": [
+     0,
+     0,
+     0
+    ],
+    "operation": "join",
+    "targets": [
+     "Bracket"
+    ]
+   }
+  },
+  {
+   "command": "solid.fillet",
+   "params": {
+    "edges": [
+     [
+      0,
+      10,
+      0
+     ]
+    ],
+    "radius": 5
+   }
+  }
+ ]
+}
\ No newline at end of file