diff --git a/lucene/spatial3d/src/java/org/apache/lucene/spatial3d/geom/GeoDegeneratePoint.java b/lucene/spatial3d/src/java/org/apache/lucene/spatial3d/geom/GeoDegeneratePoint.java
index 572d00af9e7..fe9ac7921a7 100644
--- a/lucene/spatial3d/src/java/org/apache/lucene/spatial3d/geom/GeoDegeneratePoint.java
+++ b/lucene/spatial3d/src/java/org/apache/lucene/spatial3d/geom/GeoDegeneratePoint.java
@@ -125,7 +125,7 @@ class GeoDegeneratePoint extends GeoPoint implements GeoPointShape {
 
   @Override
   public boolean isWithin(final double x, final double y, final double z) {
-    return x == this.x && y == this.y && z == this.z;
+    return this.isIdentical(x, y, z);
   }
 
   @Override
diff --git a/lucene/spatial3d/src/test/org/apache/lucene/spatial3d/geom/SimpleGeoPolygonRelationshipsTest.java b/lucene/spatial3d/src/test/org/apache/lucene/spatial3d/geom/SimpleGeoPolygonRelationshipsTest.java
index 2589a19b661..cab8e064cd3 100644
--- a/lucene/spatial3d/src/test/org/apache/lucene/spatial3d/geom/SimpleGeoPolygonRelationshipsTest.java
+++ b/lucene/spatial3d/src/test/org/apache/lucene/spatial3d/geom/SimpleGeoPolygonRelationshipsTest.java
@@ -24,6 +24,7 @@ import java.util.List;
 import org.junit.Test;
 
 import static org.junit.Assert.assertEquals;
+import static org.junit.Assert.assertTrue;
 
 /**
  * Check relationship between polygon and GeoShapes of basic polygons. Normally we construct
@@ -736,6 +737,14 @@ public class SimpleGeoPolygonRelationshipsTest {
     assertEquals(GeoArea.CONTAINS,  rel);
   }
 
+  @Test
+  public void testDegeneratedPointInPole(){
+    GeoBBox bBox1 = GeoBBoxFactory.makeGeoBBox(PlanetModel.SPHERE, Math.PI*0.5, Math.PI*0.5, 0, 0);
+    GeoPoint point = new GeoPoint(PlanetModel.SPHERE, Math.PI*0.5,  Math.PI);
+    System.out.println("bbox1 = "+bBox1+"; point = "+point);
+    assertTrue(bBox1.isWithin(point));
+  }
+
   @Test
   public void testDegeneratePathShape(){
     GeoPoint point1 = new GeoPoint(PlanetModel.SPHERE, 0, 0);