diff --git a/crates/format/src/fig/board_import_tests.rs b/crates/format/src/fig/board_import_tests.rs
index efbabde05..fb4d4ba30 100644
--- a/crates/format/src/fig/board_import_tests.rs
+++ b/crates/format/src/fig/board_import_tests.rs
@@ -584,6 +584,21 @@ fn a_jam_diamond_is_a_native_shape_drawn_by_figcraft() {
     assert_eq!(label.align_h, figcraft_doc::TextAlignH::Center);
 }
 
+/// A shape past the importer's size cap is drawn at the capped size, so its outline stays inside
+/// its frame.
+#[test]
+fn a_jam_shape_past_the_size_cap_draws_its_outline_at_the_cap() {
+    let mut layer = shape_node("DIAMOND");
+    set(&mut layer, "size", xy(2_000_000.0, 2_000_000.0));
+    let (doc, warnings) = jam(layer);
+    let frame = named(&doc, "Board object");
+    assert_eq!(frame.board, Some(figcraft_doc::BoardItem::Shape { shape: figcraft_doc::BoardShape::Diamond }), "{warnings:?}");
+    assert_eq!((frame.width, frame.height), (1e6, 1e6));
+    let outline = doc.node(frame.children[0]).unwrap();
+    let NodeKind::Vector { network } = &outline.kind else { panic!("{:?}", outline.kind) };
+    assert_eq!(*network, figcraft_doc::VectorNetwork::from_path(&figcraft_doc::BoardShape::Diamond.path(1e6, 1e6)));
+}
+
 /// 23 of FigJam's 30 shape kinds have a FigCraft outline; the other 7 stay frames and say which.
 #[test]
 fn every_figjam_shape_kind_maps_or_stays_a_frame() {
diff --git a/crates/format/src/fig/map/board.rs b/crates/format/src/fig/map/board.rs
index 7ea2de801..723c490bd 100644
--- a/crates/format/src/fig/map/board.rs
+++ b/crates/format/src/fig/map/board.rs
@@ -135,6 +135,9 @@ impl<'a> Mapper<'a> {
         if !(w.is_finite() && h.is_finite() && w > 0.0 && h > 0.0) {
             return None;
         }
+        // The REST reader caps every size; the outline is drawn at the capped size too, so it
+        // stays inside its frame.
+        let (w, h) = (w.min(crate::rest::props::MAX_SIZE), h.min(crate::rest::props::MAX_SIZE));
         // Everything is valid: build the outline from the record's paints, then the frame.
         let mut outline = Obj::new();
         outline.insert("id".into(), json!(format!("{rest_id};generated0")));
diff --git a/crates/format/src/rest/props.rs b/crates/format/src/rest/props.rs
index f5be3d279..e68af9d88 100644
--- a/crates/format/src/rest/props.rs
+++ b/crates/format/src/rest/props.rs
@@ -13,7 +13,7 @@ use serde_json::Value;
 use super::Ctx;
 
 /// Largest width/height/stroke/radius/spacing value taken from the file.
-pub(super) const MAX_SIZE: f64 = 1e6;
+pub(crate) const MAX_SIZE: f64 = 1e6;
 /// Largest coordinate taken from the file.
 pub(super) const MAX_COORD: f64 = 1e7;
 /// Most entries read from any one list (paints, effects, dashes, grids…).