diff --git a/showbits-common/src/rect.rs b/showbits-common/src/rect.rs
index 5d29d4f..f967525 100644
--- a/showbits-common/src/rect.rs
+++ b/showbits-common/src/rect.rs
@@ -73,25 +73,31 @@ impl Rect {
         Self::from_nw_se(nw, se)
     }
 
-    pub const fn corner_nw(&self) -> Vec2 {
+    pub const fn corner_nw(self) -> Vec2 {
         Vec2::new(self.west, self.north)
     }
 
-    pub const fn corner_ne(&self) -> Vec2 {
+    pub const fn corner_ne(self) -> Vec2 {
         Vec2::new(self.east, self.north)
     }
 
-    pub const fn corner_sw(&self) -> Vec2 {
+    pub const fn corner_sw(self) -> Vec2 {
         Vec2::new(self.west, self.south)
     }
 
-    pub const fn corner_se(&self) -> Vec2 {
+    pub const fn corner_se(self) -> Vec2 {
         Vec2::new(self.east, self.south)
     }
 
-    pub const fn size(&self) -> Vec2 {
+    pub const fn size(self) -> Vec2 {
         Vec2::new(self.east - self.west + 1, self.south - self.north + 1)
     }
+
+    /// An iterator of all points contained within the rectangle.
+    pub fn points(self) -> impl Iterator<Item = Vec2> {
+        (self.north..=self.south)
+            .flat_map(move |y| (self.west..=self.east).map(move |x| Vec2::new(x, y)))
+    }
 }
 
 impl Add<Vec2> for Rect {
diff --git a/showbits-common/src/view.rs b/showbits-common/src/view.rs
index 6bfd009..ba91d36 100644
--- a/showbits-common/src/view.rs
+++ b/showbits-common/src/view.rs
@@ -59,12 +59,8 @@ impl<'a> View<'a> {
     // More complicated drawing primitives
 
     pub fn rect(&mut self, area: Rect, color: Srgba) {
-        let nw = area.corner_nw();
-        let se = area.corner_se();
-        for y in nw.y..=se.y {
-            for x in nw.x..=se.x {
-                self.set(Vec2::new(x, y), color);
-            }
+        for pos in area.points() {
+            self.set(pos, color);
         }
     }
 }