diff --git a/src/com/android/settings/connecteddevice/display/DisplayTopology.kt b/src/com/android/settings/connecteddevice/display/DisplayTopology.kt
index d483f46..162d9d2 100644
--- a/src/com/android/settings/connecteddevice/display/DisplayTopology.kt
+++ b/src/com/android/settings/connecteddevice/display/DisplayTopology.kt
@@ -59,12 +59,14 @@
         val displayBounds = RectF(
                 Float.MAX_VALUE, Float.MAX_VALUE, Float.MIN_VALUE, Float.MIN_VALUE)
         var smallestDisplayDim = Float.MAX_VALUE
+        var biggestDisplayHeight = Float.MIN_VALUE
 
         // displayBounds is the smallest rect encompassing all displays, in display space.
         // smallestDisplayDim is the size of the smallest display edge, in display space.
         for (pos in displaysPos) {
             displayBounds.union(pos)
             smallestDisplayDim = minOf(smallestDisplayDim, pos.height(), pos.width())
+            biggestDisplayHeight = max(biggestDisplayHeight, pos.height())
         }
 
         // Set height according to the width and the aspect ratio of the display bounds.
@@ -81,9 +83,17 @@
         // Essentially, we just set the pane height based on the pre-determined pane width and the
         // aspect ratio of the display bounds. But we may need to increase it slightly to achieve
         // 20% padding above and below the display bounds - this is where the 0.6 comes from.
-        paneHeight = max(
+        val rawPaneHeight = max(
                 paneWidth.toDouble() / displayBounds.width() * displayBounds.height(),
-                displayBounds.height() * blockRatio / 0.6).toInt()
+                displayBounds.height() * blockRatio / 0.6)
+
+        // It is easy for the aspect ratio to result in an excessively tall pane, since the width is
+        // pre-determined and may be considerably wider than necessary. So we prevent the height
+        // from growing too large here, by limiting vertical padding to the size of the tallest
+        // display. This improves results for very tall display bounds.
+        paneHeight = min(
+                rawPaneHeight.toInt(),
+                (blockRatio * (displayBounds.height() + biggestDisplayHeight * 2f)).toInt())
 
         // Set originPaneXY (the location of 0,0 in display space in the pane's coordinate system)
         // such that the display bounds rect is centered in the pane.
diff --git a/tests/robotests/src/com/android/settings/connecteddevice/display/TopologyScaleTest.kt b/tests/robotests/src/com/android/settings/connecteddevice/display/TopologyScaleTest.kt
index e02cd40..0784362 100644
--- a/tests/robotests/src/com/android/settings/connecteddevice/display/TopologyScaleTest.kt
+++ b/tests/robotests/src/com/android/settings/connecteddevice/display/TopologyScaleTest.kt
@@ -40,11 +40,11 @@
         // blockRatio is higher than 0.05 in order to make the smallest display edge (480 dp) 48dp
         // in the pane.
         assertEquals(
-                "{TopoScale blockRatio=0.100000 originPaneXY=288,216 paneHeight=480}", "" + scale)
+                "{TopoScale blockRatio=0.100000 originPaneXY=288,48 paneHeight=144}", "" + scale)
 
-        assertEquals(Point(352, 264), scale.displayToPaneCoor(PointF(640f, 480f)))
-        assertEquals(Point(320, 240), scale.displayToPaneCoor(PointF(320f, 240f)))
-        assertEquals(PointF(640f, 480f), scale.paneToDisplayCoor(Point(352, 264)))
+        assertEquals(Point(352, 96), scale.displayToPaneCoor(PointF(640f, 480f)))
+        assertEquals(Point(320, 72), scale.displayToPaneCoor(PointF(320f, 240f)))
+        assertEquals(PointF(640f, 480f), scale.paneToDisplayCoor(Point(352, 96)))
     }
 
     @Test
@@ -76,4 +76,22 @@
         assertEquals(Point(96, 64), scale.displayToPaneCoor(PointF(0f, -320f)))
         assertPointF(220f, -430f, 0.001f, scale.paneToDisplayCoor(Point(140, 42)))
     }
+
+    @Test
+    fun paneVerticalPaddingLimitedByTallestDisplay() {
+        val scale = TopologyScale(
+                /* paneWidth= */ 300,
+                listOf(
+                        RectF(0f, 0f, 640f, 480f),
+                        RectF(0f, 480f, 640f, 960f),
+                        RectF(0f, 960f, 640f, 1440f),
+                        RectF(0f, 1440f, 640f, 1920f),
+                        RectF(0f, 1920f, 640f, 2400f),
+                        RectF(0f, 2400f, 640f, 2880f)))
+
+        assertEquals(
+                "{TopoScale blockRatio=0.100000 originPaneXY=118,48 paneHeight=384}", "" + scale)
+        assertEquals(Point(150, 48), scale.displayToPaneCoor(PointF(320f, 0f)))
+        assertPointF(-180f, 2880f, 0.001f, scale.paneToDisplayCoor(Point(100, 336)))
+    }
 }