diff --git a/crates/doc/src/appearance.rs b/crates/doc/src/appearance.rs
index 1bff9875..e59d8f29 100644
--- a/crates/doc/src/appearance.rs
+++ b/crates/doc/src/appearance.rs
@@ -258,6 +258,18 @@ impl StrokeLayer {
             arrow_align: ArrowAlign::Extend,
         }
     }
+    /// Weight of the start (`end == false`) or end arrowhead: stroke weight × its scale, at least
+    /// a quarter point. A head of weight `hw` is `4·hw` long and wide.
+    pub fn arrow_weight(&self, end: bool) -> f64 {
+        let pct = if end { self.arrow_scale.1 } else { self.arrow_scale.0 };
+        (self.width * pct / 100.0).max(0.25)
+    }
+    /// How far the arrowheads can reach from the path's end points (0 without heads): the
+    /// head's diagonal, or with [`ArrowAlign::Extend`] its length plus the cap past the end.
+    pub fn arrow_reach(&self) -> f64 {
+        let reach = |head: Option<Arrowhead>, end: bool| head.map_or(0.0, |_| 4.5 * self.arrow_weight(end) + self.width / 2.0);
+        reach(self.start_arrow, false).max(reach(self.end_arrow, true))
+    }
 }
 
 /// One entry of the appearance stack.
@@ -339,11 +351,14 @@ impl Appearance {
         self.items
             .iter()
             .filter_map(|i| match i {
-                AppearanceItem::Stroke(s) if s.visible && !s.paint.is_none() => Some(match s.align {
-                    StrokeAlign::Center => s.width / 2.0 * if s.join == LineJoin::Miter { s.miter_limit.min(4.0) } else { 1.0 },
-                    StrokeAlign::Outside => s.width,
-                    StrokeAlign::Inside => 0.0,
-                }),
+                AppearanceItem::Stroke(s) if s.visible && !s.paint.is_none() => Some(
+                    match s.align {
+                        StrokeAlign::Center => s.width / 2.0 * if s.join == LineJoin::Miter { s.miter_limit.min(4.0) } else { 1.0 },
+                        StrokeAlign::Outside => s.width,
+                        StrokeAlign::Inside => 0.0,
+                    }
+                    .max(s.arrow_reach()),
+                ),
                 _ => None,
             })
             .fold(0.0, f64::max)
@@ -418,6 +433,22 @@ mod tests {
         assert_eq!(back, st);
     }
 
+    #[test]
+    fn outset_covers_arrowheads() {
+        let mut a = Appearance::basic(Paint::None, Paint::solid(Color::BLACK), 4.0);
+        a.stroke_mut().unwrap().join = LineJoin::Round;
+        assert_eq!(a.outset(), 2.0);
+        let st = a.stroke_mut().unwrap();
+        st.end_arrow = Some(Arrowhead::Triangle);
+        st.arrow_scale = (100.0, 200.0);
+        assert_eq!(st.arrow_weight(false), 4.0);
+        assert_eq!(st.arrow_weight(true), 8.0);
+        // A 32 pt head whose tip sits up to its length (plus the cap) past the end point.
+        assert_eq!(a.outset(), 4.5 * 8.0 + 2.0);
+        a.stroke_mut().unwrap().width = 0.01;
+        assert_eq!(a.stroke().unwrap().arrow_weight(true), 0.25, "heads keep a minimum size");
+    }
+
     #[test]
     fn outset_depends_on_align() {
         let mut a = Appearance::basic(Paint::None, Paint::solid(Color::BLACK), 10.0);
diff --git a/crates/effects/src/stroke/arrow.rs b/crates/effects/src/stroke/arrow.rs
index 59ccd7da..080ddeb3 100644
--- a/crates/effects/src/stroke/arrow.rs
+++ b/crates/effects/src/stroke/arrow.rs
@@ -34,9 +34,9 @@ pub(super) fn pieces<'a>(bp: &'a BezPath, st: &StrokeLayer) -> StrokePieces<'a>
     let first = subs.first().filter(|s| !s.1).map(|s| s.0.clone());
     let last = subs.last().filter(|s| !s.1).map(|s| s.0.clone());
     let cap = cap_extent(st.cap, st.width);
-    let weight = |pct: f64| (st.width * pct / 100.0).max(0.25);
-    let start = st.start_arrow.zip(first).map(|(k, r)| (k, r, inset(k, weight(st.arrow_scale.0), cap)));
-    let end = st.end_arrow.zip(last).map(|(k, r)| (k, r, inset(k, weight(st.arrow_scale.1), cap)));
+    let (hw0, hw1) = (st.arrow_weight(false), st.arrow_weight(true));
+    let start = st.start_arrow.zip(first).map(|(k, r)| (k, r, inset(k, hw0, cap)));
+    let end = st.end_arrow.zip(last).map(|(k, r)| (k, r, inset(k, hw1, cap)));
     if start.is_none() && end.is_none() {
         return StrokePieces { line: Cow::Borrowed(bp), heads: vec![] };
     }
@@ -44,7 +44,7 @@ pub(super) fn pieces<'a>(bp: &'a BezPath, st: &StrokeLayer) -> StrokePieces<'a>
     let mut heads = vec![];
     // Trims per subpath index (start, end), applied in tip mode only.
     let mut trims: Vec<(f64, f64)> = vec![(0.0, 0.0); subs.len()];
-    let mut place = |kind: Arrowhead, range: std::ops::Range<usize>, at_start: bool, inset: f64, pct: f64| {
+    let mut place = |kind: Arrowhead, range: std::ops::Range<usize>, at_start: bool, inset: f64, hw: f64| {
         let segs = segments(&els[range]);
         let (end_pt, outward) = end_of(&segs, at_start);
         let (tip, dir) = if tip_mode {
@@ -54,16 +54,16 @@ pub(super) fn pieces<'a>(bp: &'a BezPath, st: &StrokeLayer) -> StrokePieces<'a>
         } else {
             (end_pt + outward * inset, outward)
         };
-        heads.push(Arrow { kind, outline: shape(kind, tip, dir, weight(pct)), tip, dir, inset });
+        heads.push(Arrow { kind, outline: shape(kind, tip, dir, hw), tip, dir, inset });
     };
     if let Some((k, r, i)) = start {
-        place(k, r, true, i, st.arrow_scale.0);
+        place(k, r, true, i, hw0);
         if tip_mode {
             trims[0].0 = i;
         }
     }
     if let Some((k, r, i)) = end {
-        place(k, r, false, i, st.arrow_scale.1);
+        place(k, r, false, i, hw1);
         if tip_mode {
             trims[subs.len() - 1].1 = i;
         }
diff --git a/crates/engine/src/tests_strokegeom.rs b/crates/engine/src/tests_strokegeom.rs
index 42867cc7..ee43644c 100644
--- a/crates/engine/src/tests_strokegeom.rs
+++ b/crates/engine/src/tests_strokegeom.rs
@@ -49,6 +49,13 @@ fn profiles_come_from_the_preset_catalogue() {
         assert!(spec.params.contains(&format!("\"{}\"", p.id)), "{}", p.id);
     }
     assert!(spec.params.contains("arrowAlign"));
+    // …and every arrowhead name `startArrow`/`endArrow` accept.
+    for a in vectorcraft_doc::Arrowhead::ALL {
+        let name = serde_json::to_value(a).unwrap();
+        assert!(spec.params.contains(name.as_str().unwrap()), "{name}");
+        s.execute("stroke.set", &json!({"endArrow": name})).unwrap();
+        assert_eq!(stroke(&s, id).end_arrow, Some(a));
+    }
 }
 
 #[test]
diff --git a/crates/render/tests/stroke_geometry.rs b/crates/render/tests/stroke_geometry.rs
index 886078e7..80f326e1 100644
--- a/crates/render/tests/stroke_geometry.rs
+++ b/crates/render/tests/stroke_geometry.rs
@@ -170,3 +170,15 @@ fn a_gradient_runs_on_into_the_head() {
     let start = img.over_white((22.0 * S) as u32, (50.0 * S) as u32);
     assert!(b[2] > start[2] + 100, "{b:?} vs {start:?}");
 }
+
+#[test]
+fn a_head_past_the_end_counts_in_the_visual_bounds_and_is_never_culled() {
+    let d = arrow_doc(Arrowhead::Triangle, ArrowAlign::Extend, 1.0, |s| s.join = vectorcraft_doc::LineJoin::Round);
+    let h = head_of(&d);
+    let vb = d.layers[0].children().unwrap()[0].visual_bounds().unwrap();
+    let head = h.outline.bounding_box();
+    assert_eq!(vb.union(head), vb, "{vb:?} covers the head {head:?}");
+    // A view that shows only the overhanging part of the head (the line ends at 80).
+    let img = render_region(&d, Rect::new(83.0, 40.0, 100.0, 60.0), S);
+    assert!(img.ink() > 0, "the head is drawn");
+}
diff --git a/crates/ui-egui/src/panels/stroke.rs b/crates/ui-egui/src/panels/stroke.rs
index 4f6e0be2..e9a466d0 100644
--- a/crates/ui-egui/src/panels/stroke.rs
+++ b/crates/ui-egui/src/panels/stroke.rs
@@ -204,11 +204,12 @@ pub fn show(app: &mut VectorcraftApp, ui: &mut Ui) {
     });
     let scale = st.as_ref().map(|s| s.arrow_scale).unwrap_or((100.0, 100.0));
     let linked: bool = pstate(ui.ctx(), "arrow-scale-link");
+    // Scale and Align only mean something for a stroke with a head.
+    let (arrow_align, has_head) = arrow_align_state(st.as_ref());
     ui.horizontal(|ui| {
         row_label(ui, "Scale:");
-        let on = st.is_some() && (sa.is_some() || ea.is_some());
         let mut ns = None;
-        ui.add_enabled_ui(on, |ui| {
+        ui.add_enabled_ui(has_head, |ui| {
             if let Some(v) = widgets::plain_field(ui, "arrow-scale-s", scale.0, "%", 0, 56.0) {
                 ns = Some((v, if linked { v } else { scale.1 }));
             }
@@ -223,11 +224,10 @@ pub fn show(app: &mut VectorcraftApp, ui: &mut Ui) {
             app.run("stroke.setAdvanced", json!({"arrowScale": [a, b]})).ok();
         }
     });
-    let (arrow_align, can_align) = arrow_align_state(st.as_ref());
     ui.horizontal(|ui| {
         row_label(ui, "Align:");
         for (v, name, icon, tip) in ARROW_ALIGN {
-            if widgets::icon_button_enabled(ui, icon, tip, arrow_align == v, can_align, 22.0).clicked() {
+            if widgets::icon_button_enabled(ui, icon, tip, arrow_align == v, has_head, 22.0).clicked() {
                 set(app, json!({"arrowAlign": name}));
             }
         }