diff --git a/src/geometry.rs b/src/geometry.rs
index 72b466a..36758ad 100644
--- a/src/geometry.rs
+++ b/src/geometry.rs
@@ -152,6 +152,43 @@ impl Rectangle {
             || self.top_right().left_of(&other.top_left())
             || self.bottom_left().above(&other.top_left()))
     }
+
+    pub fn intersection(&self, other: &Rectangle) -> Option<Rectangle> {
+        if !self.intersects(other) {
+            return None;
+        }
+
+        // idk wtf this is lol
+        let in_top_left;
+        let in_bottom_right;
+        if self.top_left().right_of(&other.top_left()) {
+            if self.top_left().below(&other.top_left()) {
+                in_top_left = self.top_left();
+            } else {
+                in_top_left = Point::new(self.top_left().x(), other.top_left().y());
+            }
+        } else {
+            if self.top_left().below(&other.top_left()) {
+                in_top_left = Point::new(other.top_left().x(), self.top_left().y());
+            } else {
+                in_top_left = other.top_left();
+            }
+        }
+        if self.bottom_right().left_of(&other.bottom_right()) {
+            if self.bottom_right().below(&other.bottom_right()) {
+                in_bottom_right = Point::new(self.bottom_right().x(), other.bottom_right().y());
+            } else {
+                in_bottom_right = self.bottom_right();
+            }
+        } else {
+            if self.bottom_right().below(&other.bottom_right()) {
+                in_bottom_right = other.bottom_right();
+            } else {
+                in_bottom_right = Point::new(other.bottom_right().x(), self.bottom_right().y());
+            }
+        }
+        Some(Rectangle::from_corners(in_top_left, in_bottom_right))
+    }
 }
 
 #[cfg(test)]
diff --git a/src/stream_algos.rs b/src/stream_algos.rs
index 7807576..5ce94d6 100644
--- a/src/stream_algos.rs
+++ b/src/stream_algos.rs
@@ -88,3 +88,58 @@ where
     // The type of the collect() function is chosen based on the return type that it's meant to fit
     rects.map(|r| (r, r.area())).collect()
 }
+
+pub fn intersect_all<T>(mut rects: T) -> Option<Rectangle>
+where
+    T: Iterator<Item = Rectangle>,
+{
+    let first = rects.next();
+
+    if let None = first {
+        // Can't do intersection if no items.
+        return None;
+    }
+
+    fn intersect_helper(acc: Option<Rectangle>, rect: Rectangle) -> Option<Rectangle> {
+        match acc {
+            None => None,
+            Some(a) => a.intersection(&rect),
+        }
+    }
+
+    rects.fold(first, intersect_helper)
+}
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    const INCREASING_ENCLOSING: [Rectangle; 5] = [
+        Rectangle::at_origin_with_size(1, 1),
+        Rectangle::at_origin_with_size(2, 2),
+        Rectangle::at_origin_with_size(3, 3),
+        Rectangle::at_origin_with_size(4, 4),
+        Rectangle::at_origin_with_size(5, 5),
+    ];
+
+    #[test]
+    fn test_intersect_all_1() {
+        let mut v = Vec::new();
+        v.extend(INCREASING_ENCLOSING.iter());
+        // Drain is a bit different to iter in that it releases ownership of each object,
+        // instead of just giving a reference.
+        assert_eq!(Some(INCREASING_ENCLOSING[0]), intersect_all(v.drain(0..)));
+    }
+
+    #[test]
+    fn test_intersect_all_2() {
+        // Deliberately inconsistent with above code to show a different way of doing things.
+        let mut various_rects = vec![
+            Rectangle::from_corner_width_height(Point::new(20, 110), 10, 10),
+            Rectangle::from_corner_width_height(Point::new(25, 115), 10, 10),
+            Rectangle::from_corner_width_height(Point::new(10, 100), 1000, 1000),
+            Rectangle::from_corner_width_height(Point::new(2010, 2100), 1, 1),
+        ];
+        assert_eq!(None, intersect_all(various_rects.drain(0..)));
+    }
+}