diff --git a/crates/engine/src/cmd/fileio/save.rs b/crates/engine/src/cmd/fileio/save.rs
index 166eda8b9..170b55f88 100644
--- a/crates/engine/src/cmd/fileio/save.rs
+++ b/crates/engine/src/cmd/fileio/save.rs
@@ -385,22 +385,27 @@ fn separate_boards(cmd: &str, f: &Format, doc: &Document, p: &Value) -> Result<V
 pub(super) fn artboard_doc(doc: &Document, i: usize) -> Document {
     let mut d = doc.clone();
     let Some(a) = doc.artboards.get(i) else { return d };
-    let r = a.rect;
     d.artboards = vec![a.clone()];
-    // It opens fitted to its artboard, not at the master file's view.
+    keep_art_on(&mut d, a.rect);
+    d
+}
+
+/// Reduce `d` to the objects touching `r`, in their layers (resources are kept), opening
+/// fitted to its artboard rather than at the master file's view.
+pub(super) fn keep_art_on(d: &mut Document, r: vectorcraft_geom::Rect) {
     d.last_view = None;
     d.layers_open = None;
     for layer in &mut d.layers {
         keep_on(layer, r);
     }
-    d
 }
 
-/// Keep in layer `n` (and its sublayers) only the objects touching `r`.
+/// Keep in layer `n` (and its sublayers) only the objects touching `r`, and those without bounds.
 fn keep_on(n: &mut Arc<vectorcraft_doc::Node>, r: vectorcraft_geom::Rect) {
     let touches = |b: vectorcraft_geom::Rect| b.x0 <= r.x1 && b.x1 >= r.x0 && b.y0 <= r.y1 && b.y1 >= r.y0;
     if let Some(children) = Arc::make_mut(n).children_mut() {
-        children.retain(|c| c.is_layer() || c.visual_bounds().is_some_and(touches));
+        // An object whose bounds can't be measured (type in a missing font) stays: dropping it loses art.
+        children.retain(|c| c.is_layer() || c.visual_bounds().is_none_or(touches));
         for c in children.iter_mut().filter(|c| c.is_layer()) {
             keep_on(c, r);
         }
diff --git a/crates/engine/src/cmd/fileio/screens.rs b/crates/engine/src/cmd/fileio/screens.rs
index 9c33d7e24..1d9c0303c 100644
--- a/crates/engine/src/cmd/fileio/screens.rs
+++ b/crates/engine/src/cmd/fileio/screens.rs
@@ -784,8 +784,21 @@ fn encode_and_write(export: ScreenExport, writer: &mut dyn FnMut(&str, &[u8]) ->
                 write(all, "pdf", &options)?
             } else if r.whole_document() && item.artboard.is_some() {
                 let b = item.artboard.unwrap_or(0);
-                let d = board_docs.entry(b).or_insert_with(|| Arc::new(single_artboard(&item.doc, item.region, &item.name))).clone();
-                write(&d, r.format.id, &r.options_for(item.region, None)?)?
+                // That artboard alone, as Save's separateArtboards writes it: its art, not the others' (#3868).
+                let d = board_docs
+                    .entry(b)
+                    .or_insert_with(|| {
+                        let mut d = single_artboard(&item.doc, item.region, &item.name);
+                        super::save::keep_art_on(&mut d, item.region);
+                        Arc::new(d)
+                    })
+                    .clone();
+                let mut options = r.options_for(item.region, None)?;
+                // An EPS page is the artboard, not its art's bounds: an artboard without art still writes.
+                if r.format.id == "eps" {
+                    options["useArtboards"] = json!(true);
+                }
+                write(&d, r.format.id, &options)?
             } else {
                 write(&item.doc, r.format.id, &r.options_for(item.region, item.artboard)?)?
             };
diff --git a/crates/engine/src/cmd/fileio/tests_batch.rs b/crates/engine/src/cmd/fileio/tests_batch.rs
index 5535d8ed6..b889eb2d4 100644
--- a/crates/engine/src/cmd/fileio/tests_batch.rs
+++ b/crates/engine/src/cmd/fileio/tests_batch.rs
@@ -134,17 +134,25 @@ fn layers_and_the_selection_are_exported_by_name() {
     assert!(s.execute("document.exportForScreens", &json!({"selection": "one"})).is_err(), "nothing selected");
 }
 
-/// Document formats write each artboard as a document of its own: one artboard, its art.
+/// Document formats write each artboard as a document of its own: one artboard, its art and
+/// not the other artboards' (#3868).
 #[test]
 fn document_formats_write_one_artboard_each() {
     let mut s = session(2);
+    let second = s.doc().unwrap().doc.artboards[1].rect;
+    s.execute("shape.ellipse", &json!({"x": second.x0 + 5.0, "y": 5, "width": 10, "height": 10})).unwrap();
     let r = export(&mut s, json!({"formats": [{"format": "vectorcraft"}, {"format": "ai"}, {"format": "eps"}]}));
     let n = names(&r);
     assert_eq!(n, ["Artboard-1.vectorcraft", "Artboard-1.ai", "Artboard-1.eps", "Artboard-2.vectorcraft", "Artboard-2.ai", "Artboard-2.eps"]);
-    let native = &files(&r)[0].1;
-    let mut t = Session::new();
-    t.execute("document.open", &json!({"name": "a.vectorcraft", "dataBase64": vectorcraft_format::base64_encode(native)})).unwrap();
-    assert_eq!(t.doc().unwrap().doc.artboards.len(), 1, "that artboard alone");
+    let all = files(&r);
+    for (name, bytes) in &all {
+        let mut t = Session::new();
+        t.execute("document.open", &json!({"name": name, "dataBase64": vectorcraft_format::base64_encode(bytes)})).unwrap();
+        let d = &t.doc().unwrap().doc;
+        assert_eq!(d.artboards.len(), 1, "{name}: that artboard alone");
+        let objects: usize = d.layers.iter().filter_map(|l| l.children()).map(|c| c.len()).sum();
+        assert_eq!(objects, 1, "{name}: only its own artboard's art");
+    }
 }
 
 #[test]