diff --git a/src/lib.rs b/src/lib.rs
index ca78ed8..5a5258e 100755
--- a/src/lib.rs
+++ b/src/lib.rs
@@ -127,7 +127,6 @@ pub enum StartinError {
     VertexUnknown,
     TinHasNoAttributes,
     WrongAttribute,
-    TriangulationAlreadyInitialised,
 }
 
 /// Possibilities for the insertion (with `insert()`)
@@ -434,7 +433,6 @@ impl Triangulation {
                 self.update_dt(j);
             }
         }
-
         match &mut self.attributes {
             Some(x) => x.push(json!({})),
             _ => (),
@@ -1463,6 +1461,18 @@ impl Triangulation {
         //-- flip31 to remove the vertex
         if adjs.len() == 3 {
             self.flip31(v);
+            if self.number_of_vertices() < 3 {
+                //-- going back to a line, no triangles
+                //-- wipe it all and start the insert_init_phase again
+                for i in 0..self.stars.len() {
+                    self.stars[i].link.clear();
+                }
+                self.stars[v].pt[0] = f64::NAN;
+                self.stars[v].pt[1] = f64::NAN;
+                self.stars[v].pt[2] = f64::NAN;
+                // self.removed_indices.push(v);
+                self.is_init = false;
+            }
             Ok(self.stars.len() - 1)
         } else {
             //-- convex part is filled, and we need to apply a special "flip"
@@ -1498,7 +1508,6 @@ impl Triangulation {
             self.stars[v].pt[1] = f64::NAN;
             self.stars[v].pt[2] = f64::NAN;
             self.removed_indices.push(v);
-
             for i in 0..1000 {
                 if adjs[i] != 0 {
                     self.cur = adjs[i];
diff --git a/tests/init_construction.rs b/tests/init_construction.rs
index 7aa22a0..5d7c920 100755
--- a/tests/init_construction.rs
+++ b/tests/init_construction.rs
@@ -48,6 +48,24 @@ fn duplicates() {
     assert_eq!(0, dt.number_of_triangles());
 }
 
+#[test]
+fn remove_and_invalid() {
+    let mut dt = startin::Triangulation::new();
+    let _ = dt.insert_one_pt(1.5, 1.3, 4.5);
+    let _ = dt.insert_one_pt(2.2, 2.3, 4.5);
+    let _ = dt.insert_one_pt(3.2, 7.3, 4.5);
+    assert_eq!(3, dt.number_of_vertices());
+    assert_eq!(1, dt.number_of_triangles());
+
+    let _ = dt.remove(2);
+    assert_eq!(2, dt.number_of_vertices());
+    assert_eq!(0, dt.number_of_triangles());
+
+    let _ = dt.insert_one_pt(4.2, 17.3, 4.5);
+    assert_eq!(3, dt.number_of_vertices());
+    assert_eq!(1, dt.number_of_triangles());
+}
+
 #[test]
 fn grid() {
     let mut dt = startin::Triangulation::new();