diff --git a/agrf/lib/building/layout_test.py b/agrf/lib/building/layout_test.py
index d02ef287..91b09b09 100644
--- a/agrf/lib/building/layout_test.py
+++ b/agrf/lib/building/layout_test.py
@@ -1,4 +1,5 @@
 from agrf.lib.building.layout import ADefaultGroundSprite, ALayout
+from agrf.lib.building.symmetry import BuildingSymmetrical
 
 
 def test_default_groundsprite():
@@ -12,6 +13,14 @@ def test_default_groundsprite():
     assert m_graphics.shape == (127, 256, 4)
     assert m_graphics[64, 128, 1] == 72
 
+    r_graphics = gs1012.R.graphics(4, 32).to_image()
+    assert r_graphics.shape == (127, 256, 4)
+    assert r_graphics[64, 128, 1] == 67
+
+    t_graphics = gs1012.T.graphics(4, 32).to_image()
+    assert t_graphics.shape == (127, 256, 4)
+    assert t_graphics[64, 128, 1] == 67
+
 
 def test_layout():
     gs1012 = ADefaultGroundSprite(1012)
@@ -24,3 +33,21 @@ def test_layout():
     m_graphics = l.M.graphics(4, 32).to_image()
     assert m_graphics.shape == (127, 256, 4)
     assert m_graphics[64, 128, 1] == 72
+
+    r_graphics = l.R.graphics(4, 32).to_image()
+    assert r_graphics.shape == (127, 256, 4)
+    assert r_graphics[64, 128, 1] == 67
+
+    t_graphics = l.T.graphics(4, 32).to_image()
+    assert t_graphics.shape == (127, 256, 4)
+    assert t_graphics[64, 128, 1] == 67
+
+
+def test_symmetry():
+    gs1012 = ADefaultGroundSprite(1012)
+    gs1011 = ADefaultGroundSprite(1011)
+
+    g = BuildingSymmetrical.create_variants([gs1012, gs1011])
+    assert g is g.R
+    assert g is g.T
+    assert g is g.M.M
diff --git a/agrf/lib/building/symmetry.py b/agrf/lib/building/symmetry.py
index e6088db1..f6d15457 100644
--- a/agrf/lib/building/symmetry.py
+++ b/agrf/lib/building/symmetry.py
@@ -3,19 +3,31 @@ class BuildingSymmetryMixin:
     def create_variants(classobj, variants):
         for i, v in enumerate(variants):
             cls = v.__class__
-            v.__class__ = type(cls.__name__, (cls, classobj), {})
+            v.__class__ = type(cls.__name__, (classobj, cls), {})
 
             idx = classobj.render_indices()[i]
-            v.M = variants[classobj._symmetry_descriptor[idx ^ 1]]
+            v._M = variants[classobj._symmetry_descriptor[idx ^ 1]]
             if idx % 2 == 0:
-                v.R = variants[classobj._symmetry_descriptor[idx ^ 2]]
-                v.T = variants[classobj._symmetry_descriptor[idx ^ 4]]
+                v._R = variants[classobj._symmetry_descriptor[idx ^ 2]]
+                v._T = variants[classobj._symmetry_descriptor[idx ^ 4]]
             else:
-                v.R = variants[classobj._symmetry_descriptor[idx ^ 4]]
-                v.T = variants[classobj._symmetry_descriptor[idx ^ 2]]
+                v._R = variants[classobj._symmetry_descriptor[idx ^ 4]]
+                v._T = variants[classobj._symmetry_descriptor[idx ^ 2]]
             v.symmetry = classobj
         return variants[0]
 
+    @property
+    def M(self):
+        return self._M
+
+    @property
+    def R(self):
+        return self._R
+
+    @property
+    def T(self):
+        return self._T
+
     @classmethod
     def get_all_variants(cls, thing):
         return [cls.symmetry_index(thing, i) for i in cls.render_indices()]
@@ -189,72 +201,42 @@ def compose_symmetry_indices(a, b):
 
 
 class BuildingFull(BuildingSymmetryMixin):
-    def __init__(self, obj):
-        super().__init__(obj)
-
     _symmetry_descriptor = (0, 1, 2, 3, 4, 5, 6, 7)
 
 
 class BuildingSymmetricalX(BuildingSymmetryMixin):
-    def __init__(self, obj):
-        super().__init__(obj)
-
     _symmetry_descriptor = (0, 1, 0, 1, 2, 3, 2, 3)
 
 
 class BuildingSymmetricalY(BuildingSymmetryMixin):
-    def __init__(self, obj):
-        super().__init__(obj)
-
     _symmetry_descriptor = (0, 1, 2, 3, 0, 1, 2, 3)
 
 
 class BuildingSymmetrical(BuildingSymmetryMixin):
-    def __init__(self, obj):
-        super().__init__(obj)
-
     _symmetry_descriptor = (0, 1, 0, 1, 0, 1, 0, 1)
 
 
 class BuildingRotational(BuildingSymmetryMixin):
-    def __init__(self, obj):
-        super().__init__(obj)
-
     _symmetry_descriptor = (0, 1, 2, 3, 2, 3, 0, 1)
 
 
 class BuildingRotational4(BuildingSymmetryMixin):
-    def __init__(self, obj):
-        super().__init__(obj)
-
     _symmetry_descriptor = (0, 1, 1, 0, 1, 0, 0, 1)
 
 
 class BuildingDiagonal(BuildingSymmetryMixin):
-    def __init__(self, obj):
-        super().__init__(obj)
-
     _symmetry_descriptor = (0, 0, 1, 2, 2, 1, 3, 3)
 
 
 class BuildingDiagonalAlt(BuildingSymmetryMixin):
-    def __init__(self, obj):
-        super().__init__(obj)
-
     _symmetry_descriptor = (0, 1, 2, 2, 3, 3, 1, 0)
 
 
 class BuildingDiamond(BuildingSymmetryMixin):
-    def __init__(self, obj):
-        super().__init__(obj)
-
     _symmetry_descriptor = (0, 0, 1, 1, 1, 1, 0, 0)
 
 
 class BuildingCylindrical(BuildingSymmetryMixin):
-    def __init__(self, obj):
-        super().__init__(obj)
-
     _symmetry_descriptor = (0, 0, 0, 0, 0, 0, 0, 0)