diff --git a/crates/border-wars/src/hex.rs b/crates/border-wars/src/hex.rs
index a5523b0..ce313d3 100644
--- a/crates/border-wars/src/hex.rs
+++ b/crates/border-wars/src/hex.rs
@@ -1,6 +1,7 @@
 //! This file contains utilities for working with hex coordinates.
 
 use std::collections::HashSet;
+use std::ops;
 
 /// Contains all ``HexPosition`` neighbors of a ``HexPosition``
 pub struct GroupHexPosition(HashSet<HexPosition>);
@@ -97,3 +98,71 @@ impl HexPosition {
         GroupHexPosition(positions)
     }
 }
+
+impl ops::Add<HexPosition> for HexPosition {
+    type Output = HexPosition;
+
+    fn add(self, other: HexPosition) -> HexPosition {
+        HexPosition {
+            q: self.q + other.q,
+            r: self.r + other.r,
+        }
+    }
+}
+
+impl ops::AddAssign<HexPosition> for HexPosition {
+    fn add_assign(&mut self, other: HexPosition) {
+        *self = *self + other;
+    }
+}
+
+impl ops::Sub<HexPosition> for HexPosition {
+    type Output = HexPosition;
+
+    fn sub(self, other: HexPosition) -> HexPosition {
+        HexPosition {
+            q: self.q - other.q,
+            r: self.r - other.r,
+        }
+    }
+}
+
+impl ops::SubAssign<HexPosition> for HexPosition {
+    fn sub_assign(&mut self, other: HexPosition) {
+        *self = *self - other;
+    }
+}
+
+impl ops::Mul<i32> for HexPosition {
+    type Output = HexPosition;
+
+    fn mul(self, other: i32) -> HexPosition {
+        HexPosition {
+            q: self.q * other,
+            r: self.r * other,
+        }
+    }
+}
+
+impl ops::MulAssign<i32> for HexPosition {
+    fn mul_assign(&mut self, other: i32) {
+        *self = *self * other;
+    }
+}
+
+impl ops::Div<i32> for HexPosition {
+    type Output = HexPosition;
+
+    fn div(self, other: i32) -> HexPosition {
+        HexPosition {
+            q: self.q / other,
+            r: self.r / other,
+        }
+    }
+}
+
+impl ops::DivAssign<i32> for HexPosition {
+    fn div_assign(&mut self, other: i32) {
+        *self = *self / other;
+    }
+}