diff --git a/comparisons.scad b/comparisons.scad
index 6dc8379..2712c25 100644
--- a/comparisons.scad
+++ b/comparisons.scad
@@ -194,6 +194,19 @@ function all_equal(vec,eps=0) =
 
 
 
+// Function: are_ends_equal()
+// Usage:
+//   are_ends_equal(list, [eps]);
+// Description:
+//   Returns true if the first and last points in the given list are equal to within epsilon.
+// Arguments:
+//   list = list to check
+//   eps = Tolerance for approximate equality.  Default: `EPSILON` (1e-9)
+function are_ends_equal(list, eps=EPSILON) =
+  assert(is_list(list) && len(list)>0, "Must give a nonempty list")
+  approx(list[0], list[len(list)-1], eps=eps);
+
+
 // Function: is_increasing()
 // Usage:
 //    bool = is_increasing(list, [strict]);
diff --git a/paths.scad b/paths.scad
index 00a2ccd..cf5d9de 100644
--- a/paths.scad
+++ b/paths.scad
@@ -87,21 +87,13 @@ function force_path(path, name="path") =
    : path;
 
 
-// Function: is_closed_path()
-// Usage:
-//   is_closed_path(path, [eps]);
-// Description:
-//   Returns true if the first and last points in the given path are coincident.
-function is_closed_path(path, eps=EPSILON) = approx(path[0], path[len(path)-1], eps=eps);
-
-
 // Function: close_path()
 // Usage:
 //   close_path(path);
 // Description:
 //   If a path's last point does not coincide with its first point, closes the path so it does.
 function close_path(path, eps=EPSILON) =
-    is_closed_path(path,eps=eps)? path : concat(path,[path[0]]);
+    are_ends_equal(path,eps=eps)? path : concat(path,[path[0]]);
 
 
 // Function: cleanup_path()
@@ -110,7 +102,7 @@ function close_path(path, eps=EPSILON) =
 // Description:
 //   If a path's last point coincides with its first point, deletes the last point in the path.
 function cleanup_path(path, eps=EPSILON) =
-    is_closed_path(path,eps=eps)? [for (i=[0:1:len(path)-2]) path[i]] : path;
+    are_ends_equal(path,eps=eps)? [for (i=[0:1:len(path)-2]) path[i]] : path;
 
 
 /// Internal Function: _path_select()
@@ -1096,7 +1088,7 @@ function _assemble_a_path_from_fragments(fragments, rightmost=true, startfrag=0,
     let(
         path = fragments[startfrag],
         newfrags = [for (i=idx(fragments)) if (i!=startfrag) fragments[i]]
-    ) is_closed_path(path, eps=eps)? (
+    ) are_ends_equal(path, eps=eps)? (
         // starting fragment is already closed
         [path, newfrags]
     ) : let(
@@ -1109,7 +1101,7 @@ function _assemble_a_path_from_fragments(fragments, rightmost=true, startfrag=0,
         // No remaining fragments connect!  INCOMPLETE PATH!
         // Treat it as complete.
         [path, remainder]
-    ) : is_closed_path(foundfrag, eps=eps)? (
+    ) : are_ends_equal(foundfrag, eps=eps)? (
         // Found fragment is already closed
         [foundfrag, concat([path], remainder)]
     ) : let(
diff --git a/shapes3d.scad b/shapes3d.scad
index a1fde4f..da43b69 100644
--- a/shapes3d.scad
+++ b/shapes3d.scad
@@ -2020,7 +2020,7 @@ module sphere(r, d, anchor=CENTER, spin=0, orient=UP) {
 }
 
 function sphere(r, d, anchor=CENTER, spin=0, orient=UP) =
-    spheroid(r=r, d=d, anchor=anchor, spin=spin, orient=orient);
+    spheroid(r=r, d=d, style="orig", anchor=anchor, spin=spin, orient=orient);
 
 
 // Function&Module: spheroid()
diff --git a/tests/test_comparisons.scad b/tests/test_comparisons.scad
index 31ec78f..5bb85bc 100644
--- a/tests/test_comparisons.scad
+++ b/tests/test_comparisons.scad
@@ -121,6 +121,18 @@ module test_is_decreasing() {
 test_is_decreasing();
 
 
+
+module test_are_ends_equal() {
+    assert(!are_ends_equal([[1,2,3],[4,5,6],[1,8,9]]));
+    assert(are_ends_equal([[1,2,3],[4,5,6],[1,8,9],[1,2,3]]));
+    assert(are_ends_equal([1,2,3,1.00004],eps=1e-2));
+    assert(are_ends_equal([3]));
+}
+test_are_ends_equal();
+
+
+
+
 module test_find_approx() {
     assert(find_approx(1, [2,3,1.05,4,1,2,.99], eps=.1)==2);
     assert(find_approx(1, [2,3,1.05,4,1,2,.99], all=true, eps=.1)==[2,4,6]);
diff --git a/tests/test_paths.scad b/tests/test_paths.scad
index 08d4097..885afbd 100644
--- a/tests/test_paths.scad
+++ b/tests/test_paths.scad
@@ -33,13 +33,6 @@ test_is_1region();
 
     
 
-module test_is_closed_path() {
-    assert(!is_closed_path([[1,2,3],[4,5,6],[1,8,9]]));
-    assert(is_closed_path([[1,2,3],[4,5,6],[1,8,9],[1,2,3]]));
-}
-test_is_closed_path();
-
-
 module test_close_path() {
     assert(close_path([[1,2,3],[4,5,6],[1,8,9]]) == [[1,2,3],[4,5,6],[1,8,9],[1,2,3]]);
     assert(close_path([[1,2,3],[4,5,6],[1,8,9],[1,2,3]]) == [[1,2,3],[4,5,6],[1,8,9],[1,2,3]]);
diff --git a/tests/test_shapes3d.scad b/tests/test_shapes3d.scad
index e6f289f..368eaee 100644
--- a/tests/test_shapes3d.scad
+++ b/tests/test_shapes3d.scad
@@ -94,28 +94,28 @@ module test_cyl() {
     $fn=12;
     shape_compare() {
         cyl(r=50,l=10,circum=true,anchor=BOTTOM);
-        cylinder(r=50/cos(180/12),l=10);
+        cylinder(r=50/cos(180/12),h=10);
     }
     shape_compare() {
         cyl(r=50,l=10,circum=false,anchor=BOTTOM);
-        cylinder(r=50,l=10);
+        cylinder(r=50,h=10);
     }
     shape_compare() {
         cyl(r=50,l=10,chamfer=1,circum=true,anchor=BOTTOM);
         union() {
             r=50/cos(180/12);
-            cylinder(r1=r-1,r2=r,l=1);
-            up(1) cylinder(r=r,l=8);
-            up(9) cylinder(r1=r,r2=r-1,l=1);
+            cylinder(r1=r-1,r2=r,h=1);
+            up(1) cylinder(r=r,h=8);
+            up(9) cylinder(r1=r,r2=r-1,h=1);
         }
     }
     shape_compare() {
         cyl(r=50,l=10,chamfer=1,circum=false,anchor=BOTTOM);
         union() {
             r=50;
-            cylinder(r1=r-1,r2=r,l=1);
-            up(1) cylinder(r=r,l=8);
-            up(9) cylinder(r1=r,r2=r-1,l=1);
+            cylinder(r1=r-1,r2=r,h=1);
+            up(1) cylinder(r=r,h=8);
+            up(9) cylinder(r1=r,r2=r-1,h=1);
         }
     }
 }