diff --git a/crates/border-wars/src/hex.rs b/crates/border-wars/src/hex.rs
index 492afd9..c775ded 100644
--- a/crates/border-wars/src/hex.rs
+++ b/crates/border-wars/src/hex.rs
@@ -16,10 +16,10 @@ impl<T: Signed + PartialEq + Copy + PartialOrd> HexNumber for T {}
 /// [documentation](https://www.redblobgames.com/grids/hexagons/#coordinates).
 #[derive(Clone, Copy, Debug, PartialEq, Eq, Hash)]
 pub struct HexPosition<T: HexNumber> {
-    /// Q coordinate
+    /// Q coordinate.
     pub q: T,
 
-    /// R coordinate
+    /// R coordinate.
     pub r: T,
 }
 
@@ -46,13 +46,9 @@ impl<T: HexNumber> HexPosition<T> {
     /// assert_eq!(a.distance_to(&b), 2);
     /// ```
     pub fn distance_to(&self, other: &Self) -> T {
-        // dx = |x1 - x2| where x = q
+        // Calculate the difference between the q and r coordinates.
         let dq = self.q - other.q;
-
-        // dy = |y1 - y2| where y = r
         let dr = self.r - other.r;
-
-        // dz = |z1 - z2| where z = -q - r
         let dz = self.q + self.r - other.q - other.r;
 
         // Manhattan distance = (abs(dq) + abs(dr) + abs(ds)) / 2