diff --git a/contributors/people.toml b/contributors/people.toml
index c6924df5f..34f849ed7 100644
--- a/contributors/people.toml
+++ b/contributors/people.toml
@@ -115,3 +115,6 @@ display_name = "Hamza0101"
 
 [people.ashokram-si]
 real_name = "Ashok Ram"
+
+[people.GiovanniBot]
+sync_github_name = true
diff --git a/crates/format/src/fig/export/shape.rs b/crates/format/src/fig/export/shape.rs
index ca5846cde..bfc2b0224 100644
--- a/crates/format/src/fig/export/shape.rs
+++ b/crates/format/src/fig/export/shape.rs
@@ -207,7 +207,9 @@ impl<'d> Exporter<'d> {
                 .enumerate()
                 .map(|(i, v)| {
                     let mut st: Fields = Vec::new();
-                    if v.radius > 0.0 {
+                    // A point without a radius of its own is drawn with the layer's, so a sharp
+                    // point on a rounded layer says so.
+                    if v.radius > 0.0 || n.corners.radii[0] > 0.0 {
                         st.push(("cornerRadius", fl(v.radius)));
                     }
                     if let Some(m) = v.mirror {
diff --git a/crates/format/src/fig/export_tests.rs b/crates/format/src/fig/export_tests.rs
index 9651a1025..4fd533545 100644
--- a/crates/format/src/fig/export_tests.rs
+++ b/crates/format/src/fig/export_tests.rs
@@ -955,6 +955,25 @@ fn closed_vector_geometry_is_written_with_its_corner_smoothing() {
     assert_eq!(radii, vec![20.0, 0.0, 10.0, 0.0], "each point keeps its own radius");
 }
 
+#[test]
+fn sharp_points_on_a_rounded_vector_stay_sharp() {
+    // A point without a radius takes the layer's when read, so a sharp point on a vector with a
+    // layer radius is written with its own zero.
+    let mut doc = Document::new("sharp point");
+    let page = doc.first_page().unwrap();
+    let mut network = VectorNetwork::from_points(&[(0.0, 0.0), (100.0, 0.0), (100.0, 100.0), (0.0, 100.0)].map(|(x, y)| Point::new(x, y)), true);
+    for (v, r) in network.vertices.iter_mut().zip([8.0, 0.0, 8.0, 0.0]) {
+        v.radius = r;
+    }
+    let id = doc.create(page, NodeKind::Vector { network }, "V", 0.0, 0.0, 100.0, 100.0).unwrap();
+    doc.node_mut(id).unwrap().corners.radii = [8.0; 4];
+    let (back, _) = round_trip(&doc, "sharp point");
+    let v = back.nodes().find(|n| matches!(n.kind, NodeKind::Vector { .. })).unwrap();
+    let NodeKind::Vector { network } = &v.kind else { panic!("vector") };
+    let radii: Vec<f64> = network.vertices.iter().map(|x| x.radius).collect();
+    assert_eq!(radii, vec![8.0, 0.0, 8.0, 0.0]);
+}
+
 #[test]
 fn the_written_schema_parses_and_round_trips() {
     let schema = Schema::parse(export::SCHEMA).unwrap();
diff --git a/crates/format/src/fig/map.rs b/crates/format/src/fig/map.rs
index fd1b47575..aa0db5cf4 100644
--- a/crates/format/src/fig/map.rs
+++ b/crates/format/src/fig/map.rs
@@ -356,8 +356,9 @@ struct Mapper<'a> {
     /// holding it) name it by `vectorNetworkRef`. Kept out of the JSON, where a large file's
     /// networks took gigabytes.
     networks: Vec<Option<VectorNetwork>>,
-    /// Index in `networks` by its blob, position scale, style table and point-radius scale.
-    network_ids: HashMap<(usize, u64, u64, usize, u64), usize>,
+    /// Index in `networks` by its blob, position scale, style table, point-radius scale and the
+    /// layer's corner radius (which points without one of their own take).
+    network_ids: HashMap<(usize, u64, u64, usize, u64, u64), usize>,
     /// Region paint elements (paints and gradient stops) read so far: one budget for the whole
     /// file, since layers with region paints don't share their network.
     region_paint_elements: usize,
diff --git a/crates/format/src/fig/map/layer.rs b/crates/format/src/fig/map/layer.rs
index e3de96368..a69bb7d46 100644
--- a/crates/format/src/fig/map/layer.rs
+++ b/crates/format/src/fig/map/layer.rs
@@ -668,6 +668,8 @@ impl<'a> Mapper<'a> {
             size.zip(norm).filter(|(s, n)| s.is_finite() && *n > 1e-9).map_or(1.0, |(s, n)| s / n)
         };
         let (sx, sy) = (scale("x"), scale("y"));
+        // A point whose style doesn't set a radius takes the layer's, as the editor draws it.
+        let layer_radius = v.len("cornerRadius");
         let vertices: Vec<Value> = net
             .vertices
             .iter()
@@ -676,7 +678,7 @@ impl<'a> Mapper<'a> {
                 let st = style(p.style);
                 // Point radii are lengths in this row's space, unlike the normalized positions.
                 // An override/derived row already carries the instance's scale.
-                if let Some(r) = st.and_then(|s| num(s, "cornerRadius")).and_then(|r| scaled(r, radius_scale)).filter(|r| *r > 0.0) {
+                if let Some(r) = st.and_then(|s| num(s, "cornerRadius")).and_then(|r| scaled(r, radius_scale)).or(layer_radius).filter(|r| *r > 0.0) {
                     out["radius"] = json!(r);
                 }
                 match st.and_then(|s| s.get("handleMirroring")).and_then(Kv::str) {
@@ -793,7 +795,8 @@ impl<'a> Mapper<'a> {
             return true;
         }
         // A resized instance and a K-scaled one can have the same box but different radii.
-        let key = (blob_id, sx.to_bits(), sy.to_bits(), std::ptr::from_ref(vd) as usize, radius_scale.to_bits());
+        let key =
+            (blob_id, sx.to_bits(), sy.to_bits(), std::ptr::from_ref(vd) as usize, radius_scale.to_bits(), layer_radius.unwrap_or(0.0).to_bits());
         let id = match self.network_ids.get(&key) {
             Some(id) => *id,
             None => {
diff --git a/crates/format/src/fig/tail_tests.rs b/crates/format/src/fig/tail_tests.rs
index 176c95c9b..663d6002b 100644
--- a/crates/format/src/fig/tail_tests.rs
+++ b/crates/format/src/fig/tail_tests.rs
@@ -521,6 +521,96 @@ fn network_of<'d>(doc: &'d figcraft_doc::Document, name: &str) -> &'d figcraft_d
     }
 }
 
+#[test]
+fn vector_points_without_a_radius_of_their_own_take_the_layers() {
+    // A vector rounded from the layer's corner radius: the editor rounds every point whose
+    // style doesn't set a radius (no style, or one without `cornerRadius`) with the layer's,
+    // while a point's own radius, zero included, wins.
+    let mut message = tail_message();
+    let Kv::Array(nodes) = field_mut(&mut message, "nodeChanges").unwrap() else { panic!() };
+    let wave = nodes.iter_mut().find(|node| node.get("name").and_then(Kv::str) == Some("Wave")).unwrap();
+    let Kv::Object(fields) = wave else { panic!() };
+    fields.push(("cornerRadius", f(6.0)));
+    let vector_data = field_mut(wave, "vectorData").unwrap();
+    let Kv::Array(styles) = field_mut(vector_data, "styleOverrideTable").unwrap() else { panic!() };
+    let Kv::Object(sharp) = styles.get_mut(2).unwrap() else { panic!() };
+    sharp.push(("cornerRadius", f(0.0)));
+    let (doc, _) = import(&canvas(&schema(), &message), "Rounded").unwrap();
+    let radii: Vec<f64> = network_of(&doc, "Wave").vertices.iter().map(|v| v.radius).collect();
+    assert_eq!(radii, [6.0, 4.0, 6.0, 0.0], "no style, own radius, style without one, own zero");
+    // Without a layer radius, the points without one of their own stay sharp.
+    let (doc, _) = import(&tail_canvas(), "Tail").unwrap();
+    let radii: Vec<f64> = network_of(&doc, "Wave").vertices.iter().map(|v| v.radius).collect();
+    assert_eq!(radii, [0.0, 4.0, 0.0, 0.0]);
+}
+
+#[test]
+fn an_instance_that_rounds_a_vector_keeps_its_own_points() {
+    // An instance's copy shares its main's vector data; overriding the layer's radius must not
+    // reuse the main's network, nor hand the instance's to the main.
+    let mut message = tail_message();
+    let Kv::Array(nodes) = field_mut(&mut message, "nodeChanges").unwrap() else { panic!() };
+    let wave = nodes.iter_mut().find(|node| node.get("name").and_then(Kv::str) == Some("Wave")).unwrap();
+    *field_mut(wave, "parentIndex").unwrap() = o(vec![("guid", g(50)), ("position", s("!"))]);
+    *field_mut(wave, "transform").unwrap() = at(0.0, 0.0);
+    let rounded = o(vec![("guidPath", o(vec![("guids", arr(vec![g(30)]))])), ("cornerRadius", f(6.0))]);
+    nodes.push(node(50, Some((1, "~")), "SYMBOL", "Mark", vec![("size", xy(200.0, 100.0)), ("transform", at(700.0, 0.0))]));
+    nodes.push(node(
+        51,
+        Some((1, "~!")),
+        "INSTANCE",
+        "Rounded mark",
+        vec![
+            ("size", xy(200.0, 100.0)),
+            ("transform", at(700.0, 400.0)),
+            ("symbolData", o(vec![("symbolID", g(50)), ("symbolOverrides", arr(vec![rounded]))])),
+        ],
+    ));
+    let (doc, _) = import(&canvas(&schema(), &message), "Instance").unwrap();
+    let radii_under = |parent: &str| -> Vec<f64> {
+        let p = named(&doc, parent);
+        let wave = p.children.iter().map(|c| doc.node(*c).unwrap()).find(|n| n.name == "Wave").unwrap();
+        let NodeKind::Vector { network } = &wave.kind else { panic!() };
+        network.vertices.iter().map(|v| v.radius).collect()
+    };
+    assert_eq!(radii_under("Mark"), [0.0, 4.0, 0.0, 0.0]);
+    assert_eq!(radii_under("Rounded mark"), [6.0, 4.0, 6.0, 6.0]);
+}
+
+#[test]
+fn a_scaled_instance_scales_its_vectors_point_radii() {
+    // Point radii are lengths: an instance scaled with the Scale tool draws its main's, from a
+    // point's own style or from the layer, times the factor (#2091).
+    let mut message = tail_message();
+    let Kv::Array(nodes) = field_mut(&mut message, "nodeChanges").unwrap() else { panic!() };
+    let wave = nodes.iter_mut().find(|node| node.get("name").and_then(Kv::str) == Some("Wave")).unwrap();
+    *field_mut(wave, "parentIndex").unwrap() = o(vec![("guid", g(50)), ("position", s("!"))]);
+    *field_mut(wave, "transform").unwrap() = at(0.0, 0.0);
+    let Kv::Object(fields) = wave else { panic!() };
+    fields.push(("cornerRadius", f(3.0)));
+    nodes.push(node(50, Some((1, "~")), "SYMBOL", "Mark", vec![("size", xy(200.0, 100.0)), ("transform", at(700.0, 0.0))]));
+    nodes.push(node(
+        51,
+        Some((1, "~!")),
+        "INSTANCE",
+        "Big mark",
+        vec![
+            ("size", xy(400.0, 200.0)),
+            ("transform", at(700.0, 400.0)),
+            ("symbolData", o(vec![("symbolID", g(50)), ("uniformScaleFactor", f(2.0))])),
+        ],
+    ));
+    let (doc, _) = import(&canvas(&schema(), &message), "Scaled").unwrap();
+    let radii_under = |parent: &str| -> Vec<f64> {
+        let p = named(&doc, parent);
+        let wave = p.children.iter().map(|c| doc.node(*c).unwrap()).find(|n| n.name == "Wave").unwrap();
+        let NodeKind::Vector { network } = &wave.kind else { panic!() };
+        network.vertices.iter().map(|v| v.radius).collect()
+    };
+    assert_eq!(radii_under("Mark"), [3.0, 4.0, 3.0, 3.0]);
+    assert_eq!(radii_under("Big mark"), [6.0, 8.0, 6.0, 6.0]);
+}
+
 #[test]
 fn vectors_import_as_editable_networks() {
     let (doc, warnings) = import(&tail_canvas(), "Tail").unwrap();