tier-3-butt-hinge / `gpt-5.5-2026-04-23`

7 run / 累計 890.4s / 累計 $0.4275

openai gpt 5.5 2026-04-23 bare

bare (provider default effort)

run detail →

render

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success 145.0s · 592/6337t · $0.0641

SCAD (95 lines)

$fn = 96;

leaf_y = 30;
leaf_w = 25;
plate_t = 2;

pin_d = 4;
pin_len = 32;

knuckle_od = 8;
knuckle_id = 4.6;
knuckle_r = knuckle_od / 2;
seg_len = 6;

through_d = 3.2;
cs_d = 6;
cs_depth = 1;

eps = 0.02;
overlap = 0.2;

screw_edge_margin = 7;
screw_x = knuckle_r + leaf_w - screw_edge_margin - overlap;

module y_cylinder(h, d, center=true) {
    rotate([-90, 0, 0])
        cylinder(h=h, d=d, center=center);
}

module screw_hole(x, y) {
    translate([x, y, 0])
        cylinder(h=plate_t + 2 * eps, d=through_d, center=true);

    translate([x, y, plate_t / 2 - cs_depth])
        cylinder(h=cs_depth + eps, d1=through_d, d2=cs_d, center=false);
}

module knuckle(yc) {
    translate([0, yc, 0])
        difference() {
            y_cylinder(seg_len, knuckle_od, center=true);
            y_cylinder(seg_len + 2 * eps, knuckle_id, center=true);
        }
}

module left_plate() {
    xmin = -(knuckle_r + leaf_w - overlap);
    xmax = -(knuckle_r - overlap);
    translate([(xmin + xmax) / 2, 0, 0])
        cube([leaf_w, leaf_y, plate_t], center=true);
}

module right_plate() {
    xmin = knuckle_r - overlap;
    xmax = knuckle_r + leaf_w - overlap;
    translate([(xmin + xmax) / 2, 0, 0])
        cube([leaf_w, leaf_y, plate_t], center=true);
}

module left_leaf() {
    difference() {
        union() {
            left_plate();
            for (yc = [-12, 0, 12])
                knuckle(yc);
        }
        for (yh = [-8, 0, 8])
            screw_hole(-screw_x, yh);
    }
}

module right_leaf() {
    difference() {
        union() {
            right_plate();
            for (yc = [-6, 6])
                knuckle(yc);
        }
        for (yh = [-8, 0, 8])
            screw_hole(screw_x, yh);
    }
}

module pin_axis() {
    y_cylinder(pin_len, pin_d, center=true);
}

color([0.50, 0.50, 0.50])
    left_leaf();

color([0.62, 0.62, 0.62])
    right_leaf();

color([0.18, 0.18, 0.18])
    pin_axis();

```openscad
$fn = 96;

leaf_y = 30;
leaf_w = 25;
plate_t = 2;

pin_d = 4;
pin_len = 32;

knuckle_od = 8;
knuckle_id = 4.6;
knuckle_r = knuckle_od / 2;
seg_len = 6;

through_d = 3.2;
cs_d = 6;
cs_depth = 1;

eps = 0.02;
overlap = 0.2;

screw_edge_margin = 7;
screw_x = knuckle_r + leaf_w - screw_edge_margin - overlap;

module y_cylinder(h, d, center=true) {
    rotate([-90, 0, 0])
        cylinder(h=h, d=d, center=center);
}

module screw_hole(x, y) {
    translate([x, y, 0])
        cylinder(h=plate_t + 2 * eps, d=through_d, center=true);

    translate([x, y, plate_t / 2 - cs_depth])
        cylinder(h=cs_depth + eps, d1=through_d, d2=cs_d, center=false);
}

module knuckle(yc) {
    translate([0, yc, 0])
        difference() {
            y_cylinder(seg_len, knuckle_od, center=true);
            y_cylinder(seg_len + 2 * eps, knuckle_id, center=true);
        }
}

module left_plate() {
    xmin = -(knuckle_r + leaf_w - overlap);
    xmax = -(knuckle_r - overlap);
    translate([(xmin + xmax) / 2, 0, 0])
        cube([leaf_w, leaf_y, plate_t], center=true);
}

module right_plate() {
    xmin = knuckle_r - overlap;
    xmax = knuckle_r + leaf_w - overlap;
    translate([(xmin + xmax) / 2, 0, 0])
        cube([leaf_w, leaf_y, plate_t], center=true);
}

module left_leaf() {
    difference() {
        union() {
            left_plate();
            for (yc = [-12, 0, 12])
                knuckle(yc);
        }
        for (yh = [-8, 0, 8])
            screw_hole(-screw_x, yh);
    }
}

module right_leaf() {
    difference() {
        union() {
            right_plate();
            for (yc = [-6, 6])
                knuckle(yc);
        }
        for (yh = [-8, 0, 8])
            screw_hole(screw_x, yh);
    }
}

module pin_axis() {
    y_cylinder(pin_len, pin_d, center=true);
}

color([0.50, 0.50, 0.50])
    left_leaf();

color([0.62, 0.62, 0.62])
    right_leaf();

color([0.18, 0.18, 0.18])
    pin_axis();
```

パラメータ (14) —

leaf_y leaf_w plate_t pin_d pin_len knuckle_od knuckle_id seg_len through_d cs_d cs_depth eps overlap screw_edge_margin

スライダを動かすと openscad-wasm で再レンダリング

prompt

OpenSCAD で、家具用の小型バット蝶番(butt hinge)を作ってください。
3 つのパーツ(左板、右板、ピン軸)が組み合わさって動作する完成品を、
「開いた状態(180°)」で 1 つの SCAD ファイルに配置して出力します。

寸法と配置:
- 板(leaf)2 枚: 30mm × 25mm × 厚さ 2mm の鉄板形状
  - 縦 30mm の辺がピン軸に沿う(ヒンジ軸方向)
  - 横 25mm の辺が回転で開く方向に伸びる
- ピン軸: 直径 4mm の円柱、長さ 32mm(両端 1mm ずつ knuckle から飛び出す)
- knuckle(筒部): 縦 30mm を 5 等分(各 6mm)に区切り、左板に 3 個・右板に 2 個を
  互い違いに配置(左板は外側 2 個 + 中央 1 個、右板は中間 2 個)
- knuckle 外径 8mm、内径はピン軸 + 0.3mm クリアランス(= 4.6mm 穴)
- 左板と右板はピン軸を共有して回転可能。180° 開いた状態で、両板の
  平らな面が同一平面に来るように配置する
- 各板の knuckle から離れた側に、M3 用の皿穴を 3 個ずつ
  (穴ピッチは板の縦方向に 8mm 間隔、皿穴は表面から見て直径 6mm × 深さ 1mm
  のテーパ + 直径 3.2mm の貫通穴)

座標系:
- ピン軸の中心線を Y 軸に重ねる(ピン軸は +Y 方向)
- 板の平らな面は Z 軸に直交し、左板が x<0 側、右板が x>0 側に伸びる(180° 開)
- knuckle は X=0 を中心とし、Y 方向に 6mm ずつ並ぶ

完成したコード全体を ```openscad ... ``` のフェンスで囲んで出力してください。
コードのみで、追加の説明は不要です。

variant: `effort`

low success →

33.4s · 592/1606t · $0.0168

SCAD (101 lines)

$fn = 96;

// Dimensions
leaf_y = 30;
leaf_x = 25;
leaf_t = 2;

pin_d = 4;
pin_len = 32;

knuckle_od = 8;
knuckle_id = 4.6;
knuckle_seg = 6;

cs_thru_d = 3.2;
cs_top_d = 6;
cs_depth = 1;

eps = 0.05;

// Coordinate system:
// Pin axis: Y axis, centered at X=0, Z=0
// Leaves: flat in XY plane, thickness along Z
// Left leaf extends to X<0, right leaf extends to X>0

module cyl_y(d, h) {
    rotate([-90, 0, 0])
        cylinder(d = d, h = h);
}

module knuckle(y0, len) {
    translate([0, y0, 0])
        difference() {
            cyl_y(knuckle_od, len);
            translate([0, -0.01, 0])
                cyl_y(knuckle_id, len + 0.02);
        }
}

module countersunk_hole(x, y) {
    translate([x, y, -leaf_t])
        cylinder(d = cs_thru_d, h = leaf_t * 3);

    translate([x, y, leaf_t / 2 - cs_depth])
        cylinder(d1 = cs_thru_d, d2 = cs_top_d, h = cs_depth + 0.01);
}

module leaf_plate(side = "left") {
    difference() {
        if (side == "left") {
            translate([-(knuckle_od / 2 + leaf_x), 0, -leaf_t / 2])
                cube([leaf_x + eps, leaf_y, leaf_t]);
        } else {
            translate([knuckle_od / 2 - eps, 0, -leaf_t / 2])
                cube([leaf_x + eps, leaf_y, leaf_t]);
        }

        for (yy = [7, 15, 23]) {
            if (side == "left")
                countersunk_hole(-23, yy);
            else
                countersunk_hole(23, yy);
        }
    }
}

module left_leaf_part() {
    union() {
        leaf_plate("left");

        // Left leaf knuckles: outer 2 + center 1
        knuckle(0, 6);
        knuckle(12, 6);
        knuckle(24, 6);
    }
}

module right_leaf_part() {
    union() {
        leaf_plate("right");

        // Right leaf knuckles: intermediate 2
        knuckle(6, 6);
        knuckle(18, 6);
    }
}

module pin_part() {
    translate([0, -1, 0])
        cyl_y(pin_d, pin_len);
}

// Assembly: fully open 180 degrees
color([0.55, 0.55, 0.55])
    left_leaf_part();

color([0.65, 0.65, 0.65])
    right_leaf_part();

color([0.25, 0.25, 0.25])
    pin_part();

medium (default) success →

145.0s · 592/6337t · $0.0641

SCAD (95 lines)

$fn = 96;

leaf_y = 30;
leaf_w = 25;
plate_t = 2;

pin_d = 4;
pin_len = 32;

knuckle_od = 8;
knuckle_id = 4.6;
knuckle_r = knuckle_od / 2;
seg_len = 6;

through_d = 3.2;
cs_d = 6;
cs_depth = 1;

eps = 0.02;
overlap = 0.2;

screw_edge_margin = 7;
screw_x = knuckle_r + leaf_w - screw_edge_margin - overlap;

module y_cylinder(h, d, center=true) {
    rotate([-90, 0, 0])
        cylinder(h=h, d=d, center=center);
}

module screw_hole(x, y) {
    translate([x, y, 0])
        cylinder(h=plate_t + 2 * eps, d=through_d, center=true);

    translate([x, y, plate_t / 2 - cs_depth])
        cylinder(h=cs_depth + eps, d1=through_d, d2=cs_d, center=false);
}

module knuckle(yc) {
    translate([0, yc, 0])
        difference() {
            y_cylinder(seg_len, knuckle_od, center=true);
            y_cylinder(seg_len + 2 * eps, knuckle_id, center=true);
        }
}

module left_plate() {
    xmin = -(knuckle_r + leaf_w - overlap);
    xmax = -(knuckle_r - overlap);
    translate([(xmin + xmax) / 2, 0, 0])
        cube([leaf_w, leaf_y, plate_t], center=true);
}

module right_plate() {
    xmin = knuckle_r - overlap;
    xmax = knuckle_r + leaf_w - overlap;
    translate([(xmin + xmax) / 2, 0, 0])
        cube([leaf_w, leaf_y, plate_t], center=true);
}

module left_leaf() {
    difference() {
        union() {
            left_plate();
            for (yc = [-12, 0, 12])
                knuckle(yc);
        }
        for (yh = [-8, 0, 8])
            screw_hole(-screw_x, yh);
    }
}

module right_leaf() {
    difference() {
        union() {
            right_plate();
            for (yc = [-6, 6])
                knuckle(yc);
        }
        for (yh = [-8, 0, 8])
            screw_hole(screw_x, yh);
    }
}

module pin_axis() {
    y_cylinder(pin_len, pin_d, center=true);
}

color([0.50, 0.50, 0.50])
    left_leaf();

color([0.62, 0.62, 0.62])
    right_leaf();

color([0.18, 0.18, 0.18])
    pin_axis();

high success →

250.4s · 592/13182t · $0.1326

SCAD (106 lines)

$fn = 96;

leaf_y = 30;
leaf_x = 25;
leaf_t = 2;

pin_d = 4;
pin_len = 32;

knuckle_od = 8;
knuckle_id = 4.6;
knuckle_r = knuckle_od / 2;
seg = leaf_y / 5;

root_overlap = 0.25;

hole_d = 3.2;
csk_d = 6;
csk_depth = 1;
screw_edge_margin = 7;
screw_ys = [-8, 0, 8];

eps = 0.02;

function seg_y(i) =
    -leaf_y / 2 + seg / 2 + i * seg;

function plate_outer_x(side) =
    side < 0 ? -(knuckle_r + leaf_x) : (knuckle_r + leaf_x);

function screw_x(side) =
    side < 0
        ? plate_outer_x(side) + screw_edge_margin
        : plate_outer_x(side) - screw_edge_margin;

module screw_cut(x, y) {
    translate([x, y, 0])
        cylinder(h = leaf_t + 2 * eps, d = hole_d, center = true);

    translate([x, y, leaf_t / 2 - csk_depth])
        cylinder(h = csk_depth, d1 = hole_d, d2 = csk_d, center = false);

    translate([x, y, leaf_t / 2 - eps])
        cylinder(h = 2 * eps, d = csk_d, center = false);
}

module knuckle_segment(yc) {
    translate([0, yc, 0])
        rotate([-90, 0, 0])
            difference() {
                cylinder(h = seg, d = knuckle_od, center = true);
                cylinder(h = seg + 2 * eps, d = knuckle_id, center = true);
            }
}

module flat_plate(side) {
    if (side < 0) {
        translate([-knuckle_r - leaf_x, -leaf_y / 2, -leaf_t / 2])
            cube([leaf_x, leaf_y, leaf_t]);
    } else {
        translate([knuckle_r, -leaf_y / 2, -leaf_t / 2])
            cube([leaf_x, leaf_y, leaf_t]);
    }
}

module knuckle_root(side, yc) {
    if (side < 0) {
        translate([-knuckle_r, yc - seg / 2, -leaf_t / 2])
            cube([root_overlap, seg, leaf_t]);
    } else {
        translate([knuckle_r - root_overlap, yc - seg / 2, -leaf_t / 2])
            cube([root_overlap, seg, leaf_t]);
    }
}

module hinge_leaf(side) {
    ids = side < 0 ? [0, 2, 4] : [1, 3];

    difference() {
        union() {
            flat_plate(side);

            for (i = ids) {
                knuckle_root(side, seg_y(i));
                knuckle_segment(seg_y(i));
            }
        }

        for (yy = screw_ys)
            screw_cut(screw_x(side), yy);
    }
}

module hinge_pin() {
    rotate([-90, 0, 0])
        cylinder(h = pin_len, d = pin_d, center = true);
}

color([0.55, 0.57, 0.60])
    hinge_leaf(-1);

color([0.48, 0.50, 0.53])
    hinge_leaf(1);

color([0.12, 0.12, 0.12])
    hinge_pin();

maxnot run

—

xhighnot run

—

iteration: `iter-png`

i1 success →

119.4s · 1896/5272t · $0.0551

diff vs bare: +33/-12

  $fn = 96;
  
  leaf_y = 30;
  leaf_w = 25;
  plate_t = 2;
  
  pin_d = 4;
  pin_len = 32;
  
  knuckle_od = 8;
  knuckle_id = 4.6;
  knuckle_r = knuckle_od / 2;
  seg_len = 6;
  
  through_d = 3.2;
  cs_d = 6;
  cs_depth = 1;
  
  eps = 0.02;
- overlap = 0.2;
+ barrel_clearance = 0.08;
+ connector_overlap = 0.22;
  
+ left_inner_x  = -knuckle_r - barrel_clearance;
+ left_outer_x  = left_inner_x - leaf_w;
+ right_inner_x =  knuckle_r + barrel_clearance;
+ right_outer_x = right_inner_x + leaf_w;
+ 
  screw_edge_margin = 7;
- screw_x = knuckle_r + leaf_w - screw_edge_margin - overlap;
+ left_screw_x  = left_outer_x + screw_edge_margin;
+ right_screw_x = right_outer_x - screw_edge_margin;
  
  module y_cylinder(h, d, center=true) {
      rotate([-90, 0, 0])
          cylinder(h=h, d=d, center=center);
  }
  
  module screw_hole(x, y) {
      translate([x, y, 0])
          cylinder(h=plate_t + 2 * eps, d=through_d, center=true);
  
      translate([x, y, plate_t / 2 - cs_depth])
          cylinder(h=cs_depth + eps, d1=through_d, d2=cs_d, center=false);
  }
  
  module knuckle(yc) {
      translate([0, yc, 0])
          difference() {
              y_cylinder(seg_len, knuckle_od, center=true);
              y_cylinder(seg_len + 2 * eps, knuckle_id, center=true);
          }
  }
  
+ module left_connector(yc) {
+     x1 = left_inner_x - connector_overlap;
+     x2 = -knuckle_r + connector_overlap;
+     translate([(x1 + x2) / 2, yc, 0])
+         cube([x2 - x1, seg_len, plate_t], center=true);
+ }
+ 
+ module right_connector(yc) {
+     x1 = knuckle_r - connector_overlap;
+     x2 = right_inner_x + connector_overlap;
+     translate([(x1 + x2) / 2, yc, 0])
+         cube([x2 - x1, seg_len, plate_t], center=true);
+ }
+ 
  module left_plate() {
-     xmin = -(knuckle_r + leaf_w - overlap);
-     xmax = -(knuckle_r - overlap);
-     translate([(xmin + xmax) / 2, 0, 0])
+     translate([(left_outer_x + left_inner_x) / 2, 0, 0])
          cube([leaf_w, leaf_y, plate_t], center=true);
  }
  
  module right_plate() {
-     xmin = knuckle_r - overlap;
-     xmax = knuckle_r + leaf_w - overlap;
-     translate([(xmin + xmax) / 2, 0, 0])
+     translate([(right_inner_x + right_outer_x) / 2, 0, 0])
          cube([leaf_w, leaf_y, plate_t], center=true);
  }
  
  module left_leaf() {
      difference() {
          union() {
              left_plate();
-             for (yc = [-12, 0, 12])
+             for (yc = [-12, 0, 12]) {
                  knuckle(yc);
+                 left_connector(yc);
+             }
          }
          for (yh = [-8, 0, 8])
-             screw_hole(-screw_x, yh);
+             screw_hole(left_screw_x, yh);
      }
  }
  
  module right_leaf() {
      difference() {
          union() {
              right_plate();
-             for (yc = [-6, 6])
+             for (yc = [-6, 6]) {
                  knuckle(yc);
+                 right_connector(yc);
+             }
          }
          for (yh = [-8, 0, 8])
-             screw_hole(screw_x, yh);
+             screw_hole(right_screw_x, yh);
      }
  }
  
  module pin_axis() {
      y_cylinder(pin_len, pin_d, center=true);
  }
  
  color([0.50, 0.50, 0.50])
      left_leaf();
  
  color([0.62, 0.62, 0.62])
      right_leaf();
  
  color([0.18, 0.18, 0.18])
      pin_axis();

SCAD (116 lines)

$fn = 96;

leaf_y = 30;
leaf_w = 25;
plate_t = 2;

pin_d = 4;
pin_len = 32;

knuckle_od = 8;
knuckle_id = 4.6;
knuckle_r = knuckle_od / 2;
seg_len = 6;

through_d = 3.2;
cs_d = 6;
cs_depth = 1;

eps = 0.02;
barrel_clearance = 0.08;
connector_overlap = 0.22;

left_inner_x  = -knuckle_r - barrel_clearance;
left_outer_x  = left_inner_x - leaf_w;
right_inner_x =  knuckle_r + barrel_clearance;
right_outer_x = right_inner_x + leaf_w;

screw_edge_margin = 7;
left_screw_x  = left_outer_x + screw_edge_margin;
right_screw_x = right_outer_x - screw_edge_margin;

module y_cylinder(h, d, center=true) {
    rotate([-90, 0, 0])
        cylinder(h=h, d=d, center=center);
}

module screw_hole(x, y) {
    translate([x, y, 0])
        cylinder(h=plate_t + 2 * eps, d=through_d, center=true);

    translate([x, y, plate_t / 2 - cs_depth])
        cylinder(h=cs_depth + eps, d1=through_d, d2=cs_d, center=false);
}

module knuckle(yc) {
    translate([0, yc, 0])
        difference() {
            y_cylinder(seg_len, knuckle_od, center=true);
            y_cylinder(seg_len + 2 * eps, knuckle_id, center=true);
        }
}

module left_connector(yc) {
    x1 = left_inner_x - connector_overlap;
    x2 = -knuckle_r + connector_overlap;
    translate([(x1 + x2) / 2, yc, 0])
        cube([x2 - x1, seg_len, plate_t], center=true);
}

module right_connector(yc) {
    x1 = knuckle_r - connector_overlap;
    x2 = right_inner_x + connector_overlap;
    translate([(x1 + x2) / 2, yc, 0])
        cube([x2 - x1, seg_len, plate_t], center=true);
}

module left_plate() {
    translate([(left_outer_x + left_inner_x) / 2, 0, 0])
        cube([leaf_w, leaf_y, plate_t], center=true);
}

module right_plate() {
    translate([(right_inner_x + right_outer_x) / 2, 0, 0])
        cube([leaf_w, leaf_y, plate_t], center=true);
}

module left_leaf() {
    difference() {
        union() {
            left_plate();
            for (yc = [-12, 0, 12]) {
                knuckle(yc);
                left_connector(yc);
            }
        }
        for (yh = [-8, 0, 8])
            screw_hole(left_screw_x, yh);
    }
}

module right_leaf() {
    difference() {
        union() {
            right_plate();
            for (yc = [-6, 6]) {
                knuckle(yc);
                right_connector(yc);
            }
        }
        for (yh = [-8, 0, 8])
            screw_hole(right_screw_x, yh);
    }
}

module pin_axis() {
    y_cylinder(pin_len, pin_d, center=true);
}

color([0.50, 0.50, 0.50])
    left_leaf();

color([0.62, 0.62, 0.62])
    right_leaf();

color([0.18, 0.18, 0.18])
    pin_axis();

i2 success →

112.1s · 2082/5005t · $0.0527

diff vs i1: +16/-8

  $fn = 96;
  
  leaf_y = 30;
  leaf_w = 25;
  plate_t = 2;
  
  pin_d = 4;
  pin_len = 32;
  
  knuckle_od = 8;
  knuckle_id = 4.6;
  knuckle_r = knuckle_od / 2;
  seg_len = 6;
  
  through_d = 3.2;
  cs_d = 6;
  cs_depth = 1;
  
  eps = 0.02;
- barrel_clearance = 0.08;
- connector_overlap = 0.22;
+ connector_overlap = 0.35;
  
- left_inner_x  = -knuckle_r - barrel_clearance;
+ // Flat leaf plates are placed outside the knuckle OD.
+ // Pin axis is the Y axis, centered at X=0, Z=0.
+ left_inner_x  = -knuckle_r;
  left_outer_x  = left_inner_x - leaf_w;
- right_inner_x =  knuckle_r + barrel_clearance;
+ right_inner_x =  knuckle_r;
  right_outer_x = right_inner_x + leaf_w;
  
  screw_edge_margin = 7;
  left_screw_x  = left_outer_x + screw_edge_margin;
  right_screw_x = right_outer_x - screw_edge_margin;
  
  module y_cylinder(h, d, center=true) {
      rotate([-90, 0, 0])
          cylinder(h=h, d=d, center=center);
  }
  
- module screw_hole(x, y) {
+ module countersunk_hole(x, y) {
      translate([x, y, 0])
          cylinder(h=plate_t + 2 * eps, d=through_d, center=true);
  
      translate([x, y, plate_t / 2 - cs_depth])
-         cylinder(h=cs_depth + eps, d1=through_d, d2=cs_d, center=false);
+         cylinder(h=cs_depth, d1=through_d, d2=cs_d, center=false);
+ 
+     translate([x, y, plate_t / 2 - eps])
+         cylinder(h=2 * eps, d=cs_d, center=false);
  }
  
  module knuckle(yc) {
      translate([0, yc, 0])
          difference() {
              y_cylinder(seg_len, knuckle_od, center=true);
              y_cylinder(seg_len + 2 * eps, knuckle_id, center=true);
          }
  }
  
  module left_connector(yc) {
      x1 = left_inner_x - connector_overlap;
      x2 = -knuckle_r + connector_overlap;
      translate([(x1 + x2) / 2, yc, 0])
          cube([x2 - x1, seg_len, plate_t], center=true);
  }
  
  module right_connector(yc) {
      x1 = knuckle_r - connector_overlap;
      x2 = right_inner_x + connector_overlap;
      translate([(x1 + x2) / 2, yc, 0])
          cube([x2 - x1, seg_len, plate_t], center=true);
  }
  
  module left_plate() {
      translate([(left_outer_x + left_inner_x) / 2, 0, 0])
          cube([leaf_w, leaf_y, plate_t], center=true);
  }
  
  module right_plate() {
      translate([(right_inner_x + right_outer_x) / 2, 0, 0])
          cube([leaf_w, leaf_y, plate_t], center=true);
  }
  
  module left_leaf() {
      difference() {
          union() {
              left_plate();
+ 
              for (yc = [-12, 0, 12]) {
                  knuckle(yc);
                  left_connector(yc);
              }
          }
+ 
          for (yh = [-8, 0, 8])
-             screw_hole(left_screw_x, yh);
+             countersunk_hole(left_screw_x, yh);
      }
  }
  
  module right_leaf() {
      difference() {
          union() {
              right_plate();
+ 
              for (yc = [-6, 6]) {
                  knuckle(yc);
                  right_connector(yc);
              }
          }
+ 
          for (yh = [-8, 0, 8])
-             screw_hole(right_screw_x, yh);
+             countersunk_hole(right_screw_x, yh);
      }
  }
  
  module pin_axis() {
      y_cylinder(pin_len, pin_d, center=true);
  }
  
  color([0.50, 0.50, 0.50])
      left_leaf();
  
  color([0.62, 0.62, 0.62])
      right_leaf();
  
  color([0.18, 0.18, 0.18])
      pin_axis();

SCAD (124 lines)

$fn = 96;

leaf_y = 30;
leaf_w = 25;
plate_t = 2;

pin_d = 4;
pin_len = 32;

knuckle_od = 8;
knuckle_id = 4.6;
knuckle_r = knuckle_od / 2;
seg_len = 6;

through_d = 3.2;
cs_d = 6;
cs_depth = 1;

eps = 0.02;
connector_overlap = 0.35;

// Flat leaf plates are placed outside the knuckle OD.
// Pin axis is the Y axis, centered at X=0, Z=0.
left_inner_x  = -knuckle_r;
left_outer_x  = left_inner_x - leaf_w;
right_inner_x =  knuckle_r;
right_outer_x = right_inner_x + leaf_w;

screw_edge_margin = 7;
left_screw_x  = left_outer_x + screw_edge_margin;
right_screw_x = right_outer_x - screw_edge_margin;

module y_cylinder(h, d, center=true) {
    rotate([-90, 0, 0])
        cylinder(h=h, d=d, center=center);
}

module countersunk_hole(x, y) {
    translate([x, y, 0])
        cylinder(h=plate_t + 2 * eps, d=through_d, center=true);

    translate([x, y, plate_t / 2 - cs_depth])
        cylinder(h=cs_depth, d1=through_d, d2=cs_d, center=false);

    translate([x, y, plate_t / 2 - eps])
        cylinder(h=2 * eps, d=cs_d, center=false);
}

module knuckle(yc) {
    translate([0, yc, 0])
        difference() {
            y_cylinder(seg_len, knuckle_od, center=true);
            y_cylinder(seg_len + 2 * eps, knuckle_id, center=true);
        }
}

module left_connector(yc) {
    x1 = left_inner_x - connector_overlap;
    x2 = -knuckle_r + connector_overlap;
    translate([(x1 + x2) / 2, yc, 0])
        cube([x2 - x1, seg_len, plate_t], center=true);
}

module right_connector(yc) {
    x1 = knuckle_r - connector_overlap;
    x2 = right_inner_x + connector_overlap;
    translate([(x1 + x2) / 2, yc, 0])
        cube([x2 - x1, seg_len, plate_t], center=true);
}

module left_plate() {
    translate([(left_outer_x + left_inner_x) / 2, 0, 0])
        cube([leaf_w, leaf_y, plate_t], center=true);
}

module right_plate() {
    translate([(right_inner_x + right_outer_x) / 2, 0, 0])
        cube([leaf_w, leaf_y, plate_t], center=true);
}

module left_leaf() {
    difference() {
        union() {
            left_plate();

            for (yc = [-12, 0, 12]) {
                knuckle(yc);
                left_connector(yc);
            }
        }

        for (yh = [-8, 0, 8])
            countersunk_hole(left_screw_x, yh);
    }
}

module right_leaf() {
    difference() {
        union() {
            right_plate();

            for (yc = [-6, 6]) {
                knuckle(yc);
                right_connector(yc);
            }
        }

        for (yh = [-8, 0, 8])
            countersunk_hole(right_screw_x, yh);
    }
}

module pin_axis() {
    y_cylinder(pin_len, pin_d, center=true);
}

color([0.50, 0.50, 0.50])
    left_leaf();

color([0.62, 0.62, 0.62])
    right_leaf();

color([0.18, 0.18, 0.18])
    pin_axis();

i3 success →

85.2s · 2124/3952t · $0.0422

diff vs i2: +2/-5

  $fn = 96;
  
  leaf_y = 30;
  leaf_w = 25;
  plate_t = 2;
  
  pin_d = 4;
  pin_len = 32;
  
  knuckle_od = 8;
  knuckle_id = 4.6;
  knuckle_r = knuckle_od / 2;
  seg_len = 6;
  
  through_d = 3.2;
  cs_d = 6;
  cs_depth = 1;
  
  eps = 0.02;
  connector_overlap = 0.35;
  
- // Flat leaf plates are placed outside the knuckle OD.
  // Pin axis is the Y axis, centered at X=0, Z=0.
+ // Leaves are opened 180 degrees and extend to x<0 / x>0.
  left_inner_x  = -knuckle_r;
  left_outer_x  = left_inner_x - leaf_w;
  right_inner_x =  knuckle_r;
  right_outer_x = right_inner_x + leaf_w;
  
  screw_edge_margin = 7;
  left_screw_x  = left_outer_x + screw_edge_margin;
  right_screw_x = right_outer_x - screw_edge_margin;
  
  module y_cylinder(h, d, center=true) {
      rotate([-90, 0, 0])
          cylinder(h=h, d=d, center=center);
  }
  
  module countersunk_hole(x, y) {
      translate([x, y, 0])
          cylinder(h=plate_t + 2 * eps, d=through_d, center=true);
  
      translate([x, y, plate_t / 2 - cs_depth])
-         cylinder(h=cs_depth, d1=through_d, d2=cs_d, center=false);
- 
-     translate([x, y, plate_t / 2 - eps])
-         cylinder(h=2 * eps, d=cs_d, center=false);
+         cylinder(h=cs_depth + eps, d1=through_d, d2=cs_d, center=false);
  }
  
  module knuckle(yc) {
      translate([0, yc, 0])
          difference() {
              y_cylinder(seg_len, knuckle_od, center=true);
              y_cylinder(seg_len + 2 * eps, knuckle_id, center=true);
          }
  }
  
  module left_connector(yc) {
      x1 = left_inner_x - connector_overlap;
      x2 = -knuckle_r + connector_overlap;
      translate([(x1 + x2) / 2, yc, 0])
          cube([x2 - x1, seg_len, plate_t], center=true);
  }
  
  module right_connector(yc) {
      x1 = knuckle_r - connector_overlap;
      x2 = right_inner_x + connector_overlap;
      translate([(x1 + x2) / 2, yc, 0])
          cube([x2 - x1, seg_len, plate_t], center=true);
  }
  
  module left_plate() {
      translate([(left_outer_x + left_inner_x) / 2, 0, 0])
          cube([leaf_w, leaf_y, plate_t], center=true);
  }
  
  module right_plate() {
      translate([(right_inner_x + right_outer_x) / 2, 0, 0])
          cube([leaf_w, leaf_y, plate_t], center=true);
  }
  
  module left_leaf() {
      difference() {
          union() {
              left_plate();
  
              for (yc = [-12, 0, 12]) {
                  knuckle(yc);
                  left_connector(yc);
              }
          }
  
          for (yh = [-8, 0, 8])
              countersunk_hole(left_screw_x, yh);
      }
  }
  
  module right_leaf() {
      difference() {
          union() {
              right_plate();
  
              for (yc = [-6, 6]) {
                  knuckle(yc);
                  right_connector(yc);
              }
          }
  
          for (yh = [-8, 0, 8])
              countersunk_hole(right_screw_x, yh);
      }
  }
  
  module pin_axis() {
      y_cylinder(pin_len, pin_d, center=true);
  }
  
  color([0.50, 0.50, 0.50])
      left_leaf();
  
  color([0.62, 0.62, 0.62])
      right_leaf();
  
  color([0.18, 0.18, 0.18])
      pin_axis();

SCAD (121 lines)

$fn = 96;

leaf_y = 30;
leaf_w = 25;
plate_t = 2;

pin_d = 4;
pin_len = 32;

knuckle_od = 8;
knuckle_id = 4.6;
knuckle_r = knuckle_od / 2;
seg_len = 6;

through_d = 3.2;
cs_d = 6;
cs_depth = 1;

eps = 0.02;
connector_overlap = 0.35;

// Pin axis is the Y axis, centered at X=0, Z=0.
// Leaves are opened 180 degrees and extend to x<0 / x>0.
left_inner_x  = -knuckle_r;
left_outer_x  = left_inner_x - leaf_w;
right_inner_x =  knuckle_r;
right_outer_x = right_inner_x + leaf_w;

screw_edge_margin = 7;
left_screw_x  = left_outer_x + screw_edge_margin;
right_screw_x = right_outer_x - screw_edge_margin;

module y_cylinder(h, d, center=true) {
    rotate([-90, 0, 0])
        cylinder(h=h, d=d, center=center);
}

module countersunk_hole(x, y) {
    translate([x, y, 0])
        cylinder(h=plate_t + 2 * eps, d=through_d, center=true);

    translate([x, y, plate_t / 2 - cs_depth])
        cylinder(h=cs_depth + eps, d1=through_d, d2=cs_d, center=false);
}

module knuckle(yc) {
    translate([0, yc, 0])
        difference() {
            y_cylinder(seg_len, knuckle_od, center=true);
            y_cylinder(seg_len + 2 * eps, knuckle_id, center=true);
        }
}

module left_connector(yc) {
    x1 = left_inner_x - connector_overlap;
    x2 = -knuckle_r + connector_overlap;
    translate([(x1 + x2) / 2, yc, 0])
        cube([x2 - x1, seg_len, plate_t], center=true);
}

module right_connector(yc) {
    x1 = knuckle_r - connector_overlap;
    x2 = right_inner_x + connector_overlap;
    translate([(x1 + x2) / 2, yc, 0])
        cube([x2 - x1, seg_len, plate_t], center=true);
}

module left_plate() {
    translate([(left_outer_x + left_inner_x) / 2, 0, 0])
        cube([leaf_w, leaf_y, plate_t], center=true);
}

module right_plate() {
    translate([(right_inner_x + right_outer_x) / 2, 0, 0])
        cube([leaf_w, leaf_y, plate_t], center=true);
}

module left_leaf() {
    difference() {
        union() {
            left_plate();

            for (yc = [-12, 0, 12]) {
                knuckle(yc);
                left_connector(yc);
            }
        }

        for (yh = [-8, 0, 8])
            countersunk_hole(left_screw_x, yh);
    }
}

module right_leaf() {
    difference() {
        union() {
            right_plate();

            for (yc = [-6, 6]) {
                knuckle(yc);
                right_connector(yc);
            }
        }

        for (yh = [-8, 0, 8])
            countersunk_hole(right_screw_x, yh);
    }
}

module pin_axis() {
    y_cylinder(pin_len, pin_d, center=true);
}

color([0.50, 0.50, 0.50])
    left_leaf();

color([0.62, 0.62, 0.62])
    right_leaf();

color([0.18, 0.18, 0.18])
    pin_axis();

tier-3-butt-hinge / gpt-5.5-2026-04-23

prompt

variant: effort

iteration: iter-png

tier-3-butt-hinge / `gpt-5.5-2026-04-23`

variant: `effort`

iteration: `iter-png`