diff --git a/crates/ui-egui/src/panels/tests_three_d.rs b/crates/ui-egui/src/panels/tests_three_d.rs
index 0616b0fee3..c98f9c3117 100644
--- a/crates/ui-egui/src/panels/tests_three_d.rs
+++ b/crates/ui-egui/src/panels/tests_three_d.rs
@@ -575,6 +575,19 @@ fn a_view_gesture_on_a_graphics_handle_is_left_to_the_canvas() {
     handles_frame(&mut app, &ctx, vec![primary(handle, false)]);
 }
 
+#[test]
+fn a_click_on_a_graphics_handle_records_no_undo_step() {
+    let (mut app, ctx) = materials_app();
+    app.run("threeD.mapGraphic", json!({"symbol": "Graphic", "x": 5.03})).unwrap();
+    let history = undo_len(&app);
+    let handle = handles_screen(&app, 155.03, 150.0);
+    handles_frame(&mut app, &ctx, vec![egui::Event::PointerMoved(handle)]);
+    assert!(handles_frame(&mut app, &ctx, vec![primary(handle, true)]));
+    assert!(handles_frame(&mut app, &ctx, vec![primary(handle, false)]));
+    assert_eq!(undo_len(&app), history);
+    assert_eq!(graphics(&app)[0]["x"], json!(5.03));
+}
+
 #[test]
 fn a_selection_change_during_a_handle_drag_ends_it() {
     let (mut app, ctx) = materials_app();
diff --git a/crates/ui-egui/src/panels/three_d.rs b/crates/ui-egui/src/panels/three_d.rs
index a18ac447b5..2fc602b1fd 100644
--- a/crates/ui-egui/src/panels/three_d.rs
+++ b/crates/ui-egui/src/panels/three_d.rs
@@ -342,6 +342,15 @@ fn drag_owner(app: &VectorcraftApp) -> (u64, Vec<u64>) {
     app.session.active().map(|st| (st.uid, st.selection.objects.iter().map(|id| id.0).collect())).unwrap_or_default()
 }
 
+/// The offset, rounded to 0.1 pt, that a handle drag to offset (`x`, `y`) gives graphic `g`. `None`
+/// when the graphic stays where it is: the pointer is where the handle was grabbed, or the rounded
+/// offset is the graphic's own, so a click on a handle records no undo step.
+fn moved_to(g: &vectorcraft_effects::MappedGraphic, x: f64, y: f64) -> Option<(f64, f64)> {
+    let rounded = ((x * 10.0).round() / 10.0, (y * 10.0).round() / 10.0);
+    let still = (x - g.x).abs() < 1e-6 && (y - g.y).abs() < 1e-6;
+    (!still && rounded != (g.x, g.y)).then_some(rounded)
+}
+
 /// How near a press must be to a graphic's handle to grab it, in screen points.
 const HANDLE_REACH: f32 = 8.0;
 
@@ -364,9 +373,9 @@ pub(crate) fn graphic_handles_input(app: &mut VectorcraftApp, ui: &egui::Ui, res
         if let (Some(p), Some((frame, mut list, _))) = (pointer, graphic_handles(app, &ctx))
             && let Some((x, y)) = frame.offset_at(drag.face, xf.to_doc(p) - drag.grab)
             && let Some(g) = list.get_mut(drag.index)
+            && let Some((x, y)) = moved_to(g, x, y)
         {
-            g.x = (x * 10.0).round() / 10.0;
-            g.y = (y * 10.0).round() / 10.0;
+            (g.x, g.y) = (x, y);
             let graphics = Value::Array(list.iter().map(vectorcraft_effects::MappedGraphic::to_value).collect());
             let mut changed = Map::new();
             changed.insert(vectorcraft_effects::GRAPHICS.into(), graphics);