diff --git a/rectangle.go b/rectangle.go
index 50e7d1a..4f45bf1 100644
--- a/rectangle.go
+++ b/rectangle.go
@@ -14,10 +14,10 @@ type Rectangle struct {
 // maximum error used for floating point math
 var ɛ = 0.00001
 
-// isRect determins if the rectangle provided really is a rectangle, which
+// IsRect determins if the rectangle provided really is a rectangle, which
 // by definition means a plane figure with four straight sides and four
 // right angles.
-func (r Rectangle) isRect() bool {
+func (r Rectangle) IsRect() bool {
 	// make sure they aren't all just the same point
 	if (r.P1.X == r.P2.X && r.P1.X == r.P3.X && r.P1.X == r.P4.X) &&
 		(r.P1.Y == r.P2.Y && r.P1.Y == r.P3.Y && r.P1.Y == r.P4.Y) {
@@ -112,6 +112,19 @@ func Adjacency(r1, r2 Rectangle) bool {
 	return false
 }
 
+func removeDuplicates(xs *[]Point) {
+	found := make(map[Point]bool)
+	j := 0
+	for i, x := range *xs {
+		if !found[x] {
+			found[x] = true
+			(*xs)[j] = (*xs)[i]
+			j++
+		}
+	}
+	*xs = (*xs)[:j]
+}
+
 // Intersection determine whether two rectangles, r1 and r2, have one or more
 // intersecting lines and produce a result, []Point, identifying the points
 // of intersection
@@ -141,6 +154,8 @@ func Intersection(r1, r2 Rectangle) []Point {
 			}
 		}
 	}
+
+	removeDuplicates(&pts)
 	return pts
 }
 
diff --git a/rectangle_test.go b/rectangle_test.go
index 487ae4e..6b13844 100644
--- a/rectangle_test.go
+++ b/rectangle_test.go
@@ -16,10 +16,10 @@ func TestIsRect(t *testing.T) {
 		{Rectangle{P1: Point{0, 0}, P2: Point{0, 0}, P3: Point{0, 0}, P4: Point{0, 0}}, false},
 	}
 	for _, rt := range isRectTests {
-		actual := rt.r.isRect()
+		actual := rt.r.IsRect()
 		if actual != rt.expected {
 			t.Errorf(
-				"failed isRect:\n\texpected: %t\n\t  actual: %t",
+				"failed IsRect:\n\texpected: %t\n\t  actual: %t",
 				rt.expected,
 				actual,
 			)
@@ -29,7 +29,7 @@ func TestIsRect(t *testing.T) {
 }
 
 func TestSize(t *testing.T) {
-	var isRectTests = []struct {
+	var sizeTests = []struct {
 		r        Rectangle
 		expected float64
 	}{
@@ -40,7 +40,7 @@ func TestSize(t *testing.T) {
 		{Rectangle{P1: Point{0, 0}, P2: Point{0, 3}, P3: Point{2, 0}, P4: Point{2, 3}}, 6},
 		{Rectangle{P1: Point{0, 0}, P2: Point{0, 100}, P3: Point{100, 0}, P4: Point{100, 100}}, 10000},
 	}
-	for _, rt := range isRectTests {
+	for _, rt := range sizeTests {
 		actual := rt.r.size()
 		if actual != rt.expected {
 			t.Errorf(
@@ -160,7 +160,7 @@ func TestIntersection(t *testing.T) {
 			[]Rectangle{
 				Rectangle{Point{0, 0}, Point{0, 3}, Point{3, 0}, Point{3, 3}},
 				Rectangle{Point{0, 0}, Point{0, -1}, Point{-1, 0}, Point{-1, -1}}},
-			[]Point{Point{0, 0}, Point{0, 0}},
+			[]Point{Point{0, 0}},
 		},
 		{
 			[]Rectangle{