diff --git a/crates/metafile/src/import.rs b/crates/metafile/src/import.rs
index 43023e0183..dce77b2d7a 100644
--- a/crates/metafile/src/import.rs
+++ b/crates/metafile/src/import.rs
@@ -44,8 +44,9 @@ fn sane(r: Rect) -> bool {
     [r.x0, r.y0, r.x1, r.y1].iter().all(|v| v.is_finite() && v.abs() <= LIMIT)
 }
 
-/// Is `path` an upright rectangle around the whole of `frame`? Writers clip to one first; it clips
-/// nothing in the picture.
+/// Is `path` one upright rectangle around the whole of `frame`? Writers clip to one first; it clips
+/// nothing in the picture. A path of more than one figure is not one rectangle, even when its
+/// figures run along the sides of a box.
 fn around(path: &BezPath, frame: Rect) -> bool {
     if path.elements().len() > 6 {
         return false;
@@ -67,9 +68,7 @@ fn around(path: &BezPath, frame: Rect) -> bool {
         };
         let Some(i) = corners.iter().position(|c| near(*c, p)) else { return false };
         if start {
-            if let (Some(f), Some(l)) = (first, last)
-                && !along(f, l)
-            {
+            if first.is_some() {
                 return false;
             }
             first = Some(i);
diff --git a/crates/metafile/src/tests/import.rs b/crates/metafile/src/tests/import.rs
index 69abf02e86..4dcb3020c4 100644
--- a/crates/metafile/src/tests/import.rs
+++ b/crates/metafile/src/tests/import.rs
@@ -524,8 +524,11 @@ fn a_clip_whose_box_holds_the_picture_still_clips() {
     // A bow tie through the four corners of a box around the picture.
     let mut bow_tie = le(&[0, 0, 0, 0, 4]);
     bow_tie.extend(le(&[-500, -500, 5500, 3500, 5500, -500, -500, 3500]));
-    for clip in [diamond, bow_tie] {
-        let records = vec![(59, vec![]), (3, clip), (60, vec![]), (67, le(&[5])), (43, le(&[0, 0, 5000, 3000]))];
+    // Two open figures through the four corners, the top edge and the bottom edge, which enclose
+    // nothing: MOVETOEX, LINETO, MOVETOEX, LINETO.
+    let edges = vec![(27, le(&[-500, -500])), (54, le(&[5500, -500])), (27, le(&[5500, 3500])), (54, le(&[-500, 3500]))];
+    for clip in [vec![(3, diamond)], vec![(3, bow_tie)], edges] {
+        let records = [vec![(59, vec![])], clip, vec![(60, vec![]), (67, le(&[5])), (43, le(&[0, 0, 5000, 3000]))]].concat();
         let back = import(&hand_emf(5000, 3000, &records)).unwrap();
         let layer = back.document.layers[0].children().unwrap();
         assert_eq!(layer.len(), 1);