diff --git a/crates/engine/src/cmd/edit.rs b/crates/engine/src/cmd/edit.rs
index 822ef8760..f6cb4412d 100644
--- a/crates/engine/src/cmd/edit.rs
+++ b/crates/engine/src/cmd/edit.rs
@@ -26,6 +26,10 @@ pub fn specs() -> Vec<CommandSpec> {
             .key("Cmd+X")
             .params("{handles?}")
             .interactive(|_| Ok(Box::new(SelectRun::new("cutclip", "CUTCLIP")))),
+        CommandSpec::new("cutbase", "Cut with Base Point", run_cutbase)
+            .menu(&["Edit", "Cut with Base Point"])
+            .params("{handles?, base: [x,y]}")
+            .interactive(|_| Ok(Box::new(CopyBaseM { cut: true, ..CopyBaseM::default() }))),
         CommandSpec::new("copyclip", "Copy", run_copyclip)
             .menu(&["Edit", "Copy"])
             .key("Cmd+C")
@@ -434,9 +438,11 @@ impl Interactive for MredoM {
     }
 }
 
+/// Copy the objects of `hs` to the clipboard, each once however often `hs` lists it.
 fn copy_to_clip(s: &mut Session, hs: &[Handle], base: Option<Vec2>) -> Result<usize> {
     let d = s.doc()?;
-    let ents: Vec<Entity> = hs.iter().filter_map(|h| d.entity(*h).map(|e| (**e).clone())).collect();
+    let mut seen = std::collections::HashSet::new();
+    let ents: Vec<Entity> = hs.iter().filter(|h| seen.insert(**h)).filter_map(|h| d.entity(*h).map(|e| (**e).clone())).collect();
     let b = ents.iter().fold(Bounds2::EMPTY, |acc, e| acc.union(&entity_bounds(d, e, 0)));
     let base = base.unwrap_or(if b.min.is_finite() { b.min } else { Vec2::ZERO });
     let n = ents.len();
@@ -451,21 +457,34 @@ fn run_copyclip(s: &mut Session, p: &Value) -> Result<Value> {
 }
 
 fn run_copybase(s: &mut Session, p: &Value) -> Result<Value> {
+    let base = point_req("copybase", p, "base")?;
     let hs = targets(s, p)?;
-    let base = point_param(p, "base");
-    let n = copy_to_clip(s, &hs, base)?;
+    let n = copy_to_clip(s, &hs, Some(base))?;
     Ok(json!({ "copied": n }))
 }
 
-fn run_cut(s: &mut Session, p: &Value) -> Result<Value> {
-    let mut hs = targets(s, p)?;
-    hs.retain(|h| !super::curves::is_locked(s, *h));
-    let n = copy_to_clip(s, &hs, None)?;
+/// Copy the objects that are not on locked layers to the clipboard and erase them.
+fn cut_to_clip(s: &mut Session, hs: &[Handle], base: Option<Vec2>) -> Result<usize> {
+    let hs: Vec<Handle> = hs.iter().copied().filter(|h| !super::curves::is_locked(s, *h)).collect();
+    let n = copy_to_clip(s, &hs, base)?;
     let d = s.doc_mut()?;
     for h in &hs {
         d.remove_entity(*h);
     }
     s.set_selection(Vec::new());
+    Ok(n)
+}
+
+fn run_cut(s: &mut Session, p: &Value) -> Result<Value> {
+    let hs = targets(s, p)?;
+    let n = cut_to_clip(s, &hs, None)?;
+    Ok(json!({ "cut": n }))
+}
+
+fn run_cutbase(s: &mut Session, p: &Value) -> Result<Value> {
+    let base = point_req("cutbase", p, "base")?;
+    let hs = targets(s, p)?;
+    let n = cut_to_clip(s, &hs, Some(base))?;
     Ok(json!({ "cut": n }))
 }
 
@@ -649,23 +668,29 @@ impl Interactive for SelectM {
     }
 }
 
-/// COPYBASE: base point first, then "Select objects:" (skipped with a pickfirst selection).
+/// COPYBASE and CUTBASE: base point first, then "Select objects:" (skipped with a pickfirst
+/// selection). CUTBASE also erases the objects it copies.
 #[derive(Default)]
 struct CopyBaseM {
     base: Option<Vec2>,
     sel: SelectPhase,
+    cut: bool,
 }
 
 impl CopyBaseM {
     fn copy(&self, s: &mut Session, hs: &[Handle]) -> Result<Step> {
-        copy_to_clip(s, hs, self.base)?;
+        if self.cut {
+            cut_to_clip(s, hs, self.base)?;
+        } else {
+            copy_to_clip(s, hs, self.base)?;
+        }
         Ok(Step::Done)
     }
 }
 
 impl Interactive for CopyBaseM {
     fn name(&self) -> &'static str {
-        "COPYBASE"
+        if self.cut { "CUTBASE" } else { "COPYBASE" }
     }
     fn begin(&mut self, s: &mut Session) -> Result<Step> {
         self.sel = SelectPhase::begin(s);
diff --git a/crates/engine/tests/clipboard.rs b/crates/engine/tests/clipboard.rs
index 03ec40842..c410db91c 100644
--- a/crates/engine/tests/clipboard.rs
+++ b/crates/engine/tests/clipboard.rs
@@ -170,6 +170,89 @@ fn pasteblock_makes_a_block_of_the_clipboard() {
     assert!(d.block("DOOR").is_some() && d.layer("HINGE").is_some());
 }
 
+#[test]
+fn cutbase_cuts_with_the_given_base_point() {
+    let mut s = Session::empty();
+    let mut da = drawing_a();
+    if let Some(l) = da.layer_mut("WALLS") {
+        l.locked = true;
+    }
+    let a = s.open_drawing(da, "A", None);
+    let b = s.open_drawing(drawing_b(), "B", None);
+    s.active = a;
+    let r = s.execute("cutbase", &json!({ "handles": handles(&s), "base": [5, 5] })).unwrap();
+    // The wall is on a locked layer, so only the door is cut.
+    assert_eq!(r, json!({ "cut": 1 }));
+    assert_eq!(s.clipboard.len(), 1);
+    assert_eq!(s.clipboard_base, Vec2::new(5.0, 5.0));
+    let left = model(&s);
+    assert_eq!(left.len(), 1);
+    assert!(matches!(&left[0].kind, EntityKind::Line(_)), "the wall stays");
+
+    // PASTECLIP places the base point at the insertion point.
+    s.active = b;
+    s.execute("pasteclip", &json!({ "at": [105, 5] })).unwrap();
+    let pasted = model(&s);
+    assert!(matches!(&pasted[0].kind, EntityKind::Insert(i) if i.block == "DOOR" && i.insert.x == 115.0 && i.insert.y == 20.0));
+
+    // Undo in A brings the door back.
+    s.active = a;
+    s.execute("u", &json!({})).unwrap();
+    assert_eq!(s.doc().unwrap().model.len(), 2);
+}
+
+#[test]
+fn cutbase_and_copybase_need_a_base_point_and_take_each_object_once() {
+    let mut s = Session::empty();
+    s.open_drawing(drawing_a(), "A", None);
+    let hs = handles(&s);
+    for cmd in ["cutbase", "copybase"] {
+        for p in [json!({ "handles": hs }), json!({ "handles": hs, "base": [5] })] {
+            let e = s.execute(cmd, &p).unwrap_err().to_string();
+            assert!(e.contains("`base` ([x, y]) is required"), "{cmd}: {e}");
+        }
+    }
+    assert_eq!(model(&s).len(), 2, "nothing was cut");
+    assert!(s.clipboard.is_empty(), "nothing was copied");
+
+    // A handle listed twice is copied and cut once.
+    let twice = json!({ "handles": [hs[1], hs[1]], "base": [0, 0] });
+    assert_eq!(s.execute("copybase", &twice).unwrap(), json!({ "copied": 1 }));
+    assert_eq!(s.clipboard.len(), 1);
+    assert_eq!(s.execute("cutbase", &twice).unwrap(), json!({ "cut": 1 }));
+    assert_eq!(s.clipboard.len(), 1);
+    assert_eq!(model(&s).len(), 1);
+}
+
+#[test]
+fn cutbase_asks_for_the_base_point_then_the_objects() {
+    let mut s = Session::empty();
+    s.open_drawing(drawing_a(), "A", None);
+    let hs: Vec<Handle> = s.doc().unwrap().model.iter().map(|e| e.handle).collect();
+    let undo_before = s.state().unwrap().undo.len();
+    s.start("cutbase").unwrap();
+    assert!(s.prompt_text().contains("Specify base point"), "{}", s.prompt_text());
+    s.input(cadcraft_engine::Input::Point(Vec2::new(3.0, 4.0))).unwrap();
+    assert!(s.prompt_text().contains("Select objects"), "{}", s.prompt_text());
+    s.input(cadcraft_engine::Input::Pick(vec![hs[1]])).unwrap();
+    s.input(cadcraft_engine::Input::Enter).unwrap();
+    assert!(s.running.is_none());
+    assert_eq!(s.clipboard.len(), 1);
+    assert_eq!(s.clipboard_base, Vec2::new(3.0, 4.0));
+    assert_eq!(model(&s).iter().map(|e| e.handle).collect::<Vec<_>>(), [hs[0]]);
+    assert_eq!(s.state().unwrap().undo.len(), undo_before + 1, "one undo step");
+
+    // With a pickfirst selection, the base point is the only prompt.
+    s.set_selection(vec![hs[0]]);
+    s.start("cutbase").unwrap();
+    assert!(s.prompt_text().contains("Specify base point"), "{}", s.prompt_text());
+    s.input(cadcraft_engine::Input::Point(Vec2::new(1.0, 2.0))).unwrap();
+    assert!(s.running.is_none());
+    assert!(s.doc().unwrap().model.is_empty());
+    assert_eq!(s.clipboard_base, Vec2::new(1.0, 2.0));
+    assert!(s.selection().is_empty());
+}
+
 /// A stand-in for the DXF writer and reader: "writes" the drawing to memory.
 static WRITTEN: Mutex<Option<Drawing>> = Mutex::new(None);
 
diff --git a/crates/ui-egui/src/i18n/ar.tsv b/crates/ui-egui/src/i18n/ar.tsv
index 6400a1f38..58ce93144 100644
--- a/crates/ui-egui/src/i18n/ar.tsv
+++ b/crates/ui-egui/src/i18n/ar.tsv
@@ -203,6 +203,7 @@
 	Current selection	التحديد الحالي
 	Current: {color}	الحالي: {color}
 	Cut	قص
+	Cut with Base Point	قص من نقطة أساس
 	Cyan	سماوي
 	Cylinder	أسطوانة
 	DWG	DWG
diff --git a/crates/ui-egui/src/i18n/cs.tsv b/crates/ui-egui/src/i18n/cs.tsv
index 139dd9d9e..073a3e344 100644
--- a/crates/ui-egui/src/i18n/cs.tsv
+++ b/crates/ui-egui/src/i18n/cs.tsv
@@ -186,6 +186,7 @@
 	Current selection	Aktuální výběr
 	Current: {color}	Aktuální: {color}
 	Cut	Vyjmout
+	Cut with Base Point	Vyjmout se základním bodem
 	Cyan	Azurová
 	Cylinder	Válec
 	DWG	DWG
diff --git a/crates/ui-egui/src/i18n/de.tsv b/crates/ui-egui/src/i18n/de.tsv
index e2e92d4c8..d7feda3bb 100644
--- a/crates/ui-egui/src/i18n/de.tsv
+++ b/crates/ui-egui/src/i18n/de.tsv
@@ -145,6 +145,7 @@
 	Current selection	Aktuelle Auswahl
 	Current: {color}	Aktuell: {color}
 	Cut	Ausschneiden
+	Cut with Base Point	Mit Basispunkt ausschneiden
 	Cyan	Cyan
 	Cylinder	Zylinder
 	DWG	DWG
diff --git a/crates/ui-egui/src/i18n/el.tsv b/crates/ui-egui/src/i18n/el.tsv
index 1ec3f82fb..2471b4314 100644
--- a/crates/ui-egui/src/i18n/el.tsv
+++ b/crates/ui-egui/src/i18n/el.tsv
@@ -227,6 +227,7 @@
 	Curved	Καμπύλο
 	Custom	Προσαρμοσμένο
 	Cut	Αποκοπή
+	Cut with Base Point	Αποκοπή με σημείο βάσης
 	Cyan	Κυανό
 	Cylinder	Κύλινδρος
 	Dark	Σκούρο
diff --git a/crates/ui-egui/src/i18n/es.tsv b/crates/ui-egui/src/i18n/es.tsv
index 9685dee94..7124bd2e0 100644
--- a/crates/ui-egui/src/i18n/es.tsv
+++ b/crates/ui-egui/src/i18n/es.tsv
@@ -192,6 +192,7 @@
 	Current selection	Selección actual
 	Current: {color}	Actual: {color}
 	Cut	Cortar
+	Cut with Base Point	Cortar con punto base
 	Cyan	Cian
 	Cylinder	Cilindro
 	DWG	DWG
diff --git a/crates/ui-egui/src/i18n/fr.tsv b/crates/ui-egui/src/i18n/fr.tsv
index d8b100711..ceed3305e 100644
--- a/crates/ui-egui/src/i18n/fr.tsv
+++ b/crates/ui-egui/src/i18n/fr.tsv
@@ -144,6 +144,7 @@
 	Current selection	Sélection actuelle
 	Current: {color}	Actuel : {color}
 	Cut	Couper
+	Cut with Base Point	Couper avec point de base
 	Cyan	Cyan
 	Cylinder	Cylindre
 	DWG	DWG
diff --git a/crates/ui-egui/src/i18n/hu.tsv b/crates/ui-egui/src/i18n/hu.tsv
index 3095ea9af..92bace42a 100644
--- a/crates/ui-egui/src/i18n/hu.tsv
+++ b/crates/ui-egui/src/i18n/hu.tsv
@@ -239,6 +239,7 @@
 	Curved	Ívelt
 	Custom	Egyéni
 	Cut	Kivágás
+	Cut with Base Point	Kivágás bázisponttal
 	Cyan	Cián
 	Cylinder	Henger
 	DWG	DWG
diff --git a/crates/ui-egui/src/i18n/it.tsv b/crates/ui-egui/src/i18n/it.tsv
index cb3a5388e..b513eca74 100644
--- a/crates/ui-egui/src/i18n/it.tsv
+++ b/crates/ui-egui/src/i18n/it.tsv
@@ -194,6 +194,7 @@ menu	Modify	Edita
 	Current selection	Selezione corrente
 	Current: {color}	Corrente: {color}
 	Cut	Taglia
+	Cut with Base Point	Taglia con punto base
 	Cyan	Ciano
 	Cylinder	Cilindro
 	DWG	DWG
diff --git a/crates/ui-egui/src/i18n/ko.tsv b/crates/ui-egui/src/i18n/ko.tsv
index 8b7b016fe..44a16e0ff 100644
--- a/crates/ui-egui/src/i18n/ko.tsv
+++ b/crates/ui-egui/src/i18n/ko.tsv
@@ -187,6 +187,7 @@
 	Current selection	현재 선택 항목
 	Current: {color}	현재: {color}
 	Cut	잘라내기
+	Cut with Base Point	기준점을 지정하여 잘라내기
 	Cyan	청록색
 	Cylinder	원기둥
 	DWG	DWG
diff --git a/crates/ui-egui/src/i18n/pt_br.tsv b/crates/ui-egui/src/i18n/pt_br.tsv
index 473b38fb8..3d8c0bd7f 100644
--- a/crates/ui-egui/src/i18n/pt_br.tsv
+++ b/crates/ui-egui/src/i18n/pt_br.tsv
@@ -191,6 +191,7 @@
 	Current selection	Seleção atual
 	Current: {color}	Atual: {color}
 	Cut	Recortar
+	Cut with Base Point	Recortar com ponto base
 	Cyan	Ciano
 	Cylinder	Cilindro
 	DWG	DWG
diff --git a/crates/ui-egui/src/i18n/ru.tsv b/crates/ui-egui/src/i18n/ru.tsv
index c7a6baaf2..a76b06f45 100644
--- a/crates/ui-egui/src/i18n/ru.tsv
+++ b/crates/ui-egui/src/i18n/ru.tsv
@@ -144,6 +144,7 @@
 	Current selection	Текущее выделение
 	Current: {color}	Текущий: {color}
 	Cut	Вырезать
+	Cut with Base Point	Вырезать с базовой точкой
 	Cyan	Голубой
 	Cylinder	Цилиндр
 	DWG	DWG
diff --git a/crates/ui-egui/src/i18n/sv.tsv b/crates/ui-egui/src/i18n/sv.tsv
index 176f1bb38..20d2ab601 100644
--- a/crates/ui-egui/src/i18n/sv.tsv
+++ b/crates/ui-egui/src/i18n/sv.tsv
@@ -195,6 +195,7 @@
 	Current selection	Aktuell markering
 	Current: {color}	Aktuell: {color}
 	Cut	Klipp ut
+	Cut with Base Point	Klipp ut med baspunkt
 	Cyan	Cyan
 	Cylinder	Cylinder
 	DWG	DWG
diff --git a/crates/ui-egui/src/i18n/tr.tsv b/crates/ui-egui/src/i18n/tr.tsv
index f1240778c..a98ac82c5 100644
--- a/crates/ui-egui/src/i18n/tr.tsv
+++ b/crates/ui-egui/src/i18n/tr.tsv
@@ -240,6 +240,7 @@
 	Curved	Eğri
 	Custom	Özel
 	Cut	Kes
+	Cut with Base Point	Taban Noktasıyla Kes
 	Cyan	Camgöbeği
 	Cylinder	Silindir
 	DWG	DWG
diff --git a/crates/ui-egui/src/i18n/uk.tsv b/crates/ui-egui/src/i18n/uk.tsv
index cb902c57c..eaefc206e 100644
--- a/crates/ui-egui/src/i18n/uk.tsv
+++ b/crates/ui-egui/src/i18n/uk.tsv
@@ -191,6 +191,7 @@
 	Current selection	Поточний вибір
 	Current: {color}	Поточний: {color}
 	Cut	Вирізати
+	Cut with Base Point	Вирізати з базовою точкою
 	Cyan	Блакитний
 	Cylinder	Циліндр
 	DWG	DWG
diff --git a/crates/ui-egui/src/i18n/zh.tsv b/crates/ui-egui/src/i18n/zh.tsv
index c3aa9f95d..b85c5ffa2 100644
--- a/crates/ui-egui/src/i18n/zh.tsv
+++ b/crates/ui-egui/src/i18n/zh.tsv
@@ -145,6 +145,7 @@
 	Current selection	当前选择
 	Current: {color}	当前: {color}
 	Cut	剪切
+	Cut with Base Point	带基点剪切
 	Cyan	青色
 	Cylinder	圆柱体
 	DWG	DWG