diff -r 7e7a03e85ac4 -r a325ed57ebfe rust/integral-geometry/src/lib.rs
--- a/rust/integral-geometry/src/lib.rs	Thu Oct 18 22:23:25 2018 +0200
+++ b/rust/integral-geometry/src/lib.rs	Thu Oct 18 22:34:09 2018 +0200
@@ -170,7 +170,7 @@
     pub fn new(vector: Point) -> Self {
         Self {
             vector,
-            iteration: 0,
+            iteration: if vector.x == vector.y { 4 } else { 8 },
         }
     }
 }
@@ -179,7 +179,7 @@
     type Item = Point;
 
     fn next(&mut self) -> Option<Self::Item> {
-        if self.iteration < 8 {
+        if self.iteration > 0 {
             self.vector.x = -self.vector.x;
             if self.iteration & 1 == 0 {
                 self.vector.y = -self.vector.y;
@@ -189,7 +189,7 @@
                 std::mem::swap(&mut self.vector.x, &mut self.vector.y);
             }
 
-            self.iteration += 1;
+            self.iteration -= 1;
 
             Some(self.vector)
         } else {
@@ -236,7 +236,7 @@
     }
 
     #[test]
-    fn equidistant() {
+    fn equidistant_full() {
         let n = EquidistantPoints::new(Point::new(1, 3));
         let v = get_points(&[
             (-1, -3),
@@ -254,4 +254,14 @@
             assert_eq!(a, b);
         }
     }
+
+    #[test]
+    fn equidistant_half() {
+        let n = EquidistantPoints::new(Point::new(2, 2));
+        let v = get_points(&[(-2, -2), (2, -2), (-2, 2), (2, 2), (123, 456)]);
+
+        for (&a, b) in v.iter().zip(n) {
+            assert_eq!(a, b);
+        }
+    }
 }