Index: cpp/tests/geometry_goals/apices.goal
===================================================================
--- cpp/tests/geometry_goals/apices.goal	(revision 816)
+++ cpp/tests/geometry_goals/apices.goal	(revision 828)
@@ -5,11 +5,11 @@
 p:sh=2, sx=0.05, sy=0.05, sz=0.5, vr=0.0, 0.0
 p:-0.6, -0.6, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.6, -0.6, 3.7, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.6, -0.6, 3.6999999999999997, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:-0.6, 0.6, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.6, 0.6, 3.7, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.6, 0.6, 3.6999999999999997, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:0.6, -0.6, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.6, -0.6, 3.7, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.6, -0.6, 3.6999999999999997, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:0.6, 0.6, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.6, 0.6, 3.7, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.6, 0.6, 3.6999999999999997, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:0.35, 0.35, 2.9, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:0.35, 0.55, 2.9, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
@@ -33,74 +33,74 @@
 p:y=0.5, 4.0, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:z=4.5, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
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+p:-0.09051926703941943, 0.9297983478488396, 5.691044073051034, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.5259657113491341, 0.9314259314103751, 5.710633486257579, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.507271461254291, 0.9499647789601643, 5.614161541398375, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.11441533010054392, 0.4948379405501654, 5.706485000897186, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.09572108000570076, 0.5133767880999546, 5.610013056037983, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.0075036509263915405, 0.696791413213126, 5.682668036905026, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.38581207288021535, 0.7373251707316616, 6.1572623398420046, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.45231629527595973, 0.7197393725903808, 6.084681845855869, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.19042654803864115, 1.0209528771170246, 5.909512827525712, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.25693077043438556, 1.003367078975744, 5.836932333539576, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.13638495337222126, 0.43074950496904363, 6.002998043207454, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.2028891757679657, 0.4131637068277628, 5.9304175492213185, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.3552059530941127, 0.4863858286069982, 6.075376633977406, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.3920094839429565, 0.34610962375450155, 6.666111842399284, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.45127015428935274, 0.2748445018192511, 6.628569128783328, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.5808032135730417, 0.6338256314834384, 6.417965864094406, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.6400638839194379, 0.5625605095481879, 6.3804231504784505, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.10715155311763129, 0.2699349428133118, 6.361065325898239, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.16641222346402756, 0.1986698208780613, 6.323522612282283, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.24039924851101563, 0.17389852995991403, 6.532058746554365, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.09665308398006318, 0.15965614648448898, 7.038213742257521, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.09366135907091948, 0.06182930381990606, 7.017696470598088, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.31941601970784644, 0.18868517075133207, 6.960471754204382, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.3224077446169901, 0.09085832808674915, 6.939954482544949, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.17866158008603766, 0.24269634835765386, 6.630318006266937, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.17566985517689399, 0.14486950569307094, 6.6098007346075045, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 j:0, 1, sh=1
 j:0, 2, sh=1
Index: cpp/tests/geometry_goals/cuboid.goal
===================================================================
--- cpp/tests/geometry_goals/cuboid.goal	(revision 816)
+++ cpp/tests/geometry_goals/cuboid.goal	(revision 828)
@@ -12,7 +12,7 @@
 p:100.0, 1.0, -1.0, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:100.0, 1.0, 1.0, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:sh=2, sx=200.0199990001, sy=0.05, sz=0.05, rx=-2.35624448519293, 0.00999916677415087, 0.00999966668666524, vg=0.0, 0.0
-p:sh=2, sx=0.05, sy=5.6562886489061, sz=0.05, rx=-2.35624448519293, 0.00999916677415087, 0.00999966668666524, vr=0.0, vb=0.0
-p:sh=2, sx=0.05, sy=0.05, sz=2.82842712474619, rx=-2.35624448519293, 0.00999916677415087, 0.00999966668666524, vr=0.0, 0.0
+p:sh=2, sx=200.0199990001, sy=0.05, sz=0.05, rx=-2.3562444851929283, 0.009999166774150865, 0.009999666686665238, vg=0.0, 0.0
+p:sh=2, sx=0.05, sy=5.656288648906105, sz=0.05, rx=-2.3562444851929283, 0.009999166774150865, 0.009999666686665238, vr=0.0, vb=0.0
+p:sh=2, sx=0.05, sy=0.05, sz=2.828427124746191, rx=-2.3562444851929283, 0.009999166774150865, 0.009999666686665238, vr=0.0, 0.0
 p:sh=2, sx=100.0
 j:0, 1, sh=1
Index: cpp/tests/geometry_goals/cuboid_cylinder.goal
===================================================================
--- cpp/tests/geometry_goals/cuboid_cylinder.goal	(revision 816)
+++ cpp/tests/geometry_goals/cuboid_cylinder.goal	(revision 828)
@@ -4,15 +4,15 @@
 p:sh=2, sx=0.05, sy=0.5, sz=0.05, vr=0.0, vb=0.0
 p:sh=2, sx=0.05, sy=0.05, sz=0.5, vr=0.0, 0.0
-p:-1.0, -1.0, -1.00079600964257, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-1.0, -1.0, 1.00079600964257, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-1.0, 1.0, -1.00079600964257, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-1.0, 1.0, 1.00079600964257, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:2.00079600964257, -1.0, -1.00079600964257, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:2.00079600964257, -1.0, 1.00079600964257, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:2.00079600964257, 1.0, -1.00079600964257, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:2.00079600964257, 1.0, 1.00079600964257, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.500398004821284, sh=2, sx=3.80282057851894, sy=0.05, sz=0.05, rx=-2.37355889227126, 0.55357491735977, 0.440529723934382, vg=0.0, 0.0
-p:0.500398004821284, sh=2, sx=0.05, sy=3.75118291331815, sz=0.05, rx=-2.37355889227126, 0.55357491735977, 0.440529723934382, vr=0.0, vb=0.0
-p:0.500398004821284, sh=2, sx=0.05, sy=0.05, sz=2.89459791349714, rx=-2.37355889227126, 0.55357491735977, 0.440529723934382, vr=0.0, 0.0
+p:-1.0, -1.0, -1.0007960096425679, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-1.0, -1.0, 1.0007960096425679, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-1.0, 1.0, -1.0007960096425679, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-1.0, 1.0, 1.0007960096425679, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:2.000796009642568, -1.0, -1.0007960096425679, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:2.000796009642568, -1.0, 1.0007960096425679, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:2.000796009642568, 1.0, -1.0007960096425679, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:2.000796009642568, 1.0, 1.0007960096425679, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.5003980048212839, sh=2, sx=3.8028205785189386, sy=0.05, sz=0.05, rx=-2.3735588922712605, 0.5535749173597703, 0.44052972393438194, vg=0.0, 0.0
+p:0.5003980048212839, sh=2, sx=0.05, sy=3.7511829133181505, sz=0.05, rx=-2.3735588922712605, 0.5535749173597703, 0.44052972393438194, vr=0.0, vb=0.0
+p:0.5003980048212839, sh=2, sx=0.05, sy=0.05, sz=2.8945979134971433, rx=-2.3735588922712605, 0.5535749173597703, 0.44052972393438194, vr=0.0, 0.0
 p:sh=2
 p:1.0, sh=3, ry=1.57
Index: cpp/tests/geometry_goals/cuboid_ellipsoid.goal
===================================================================
--- cpp/tests/geometry_goals/cuboid_ellipsoid.goal	(revision 816)
+++ cpp/tests/geometry_goals/cuboid_ellipsoid.goal	(revision 828)
@@ -12,7 +12,7 @@
 p:2.0, 1.0, -1.0, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:2.0, 1.0, 1.0, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.5, sh=2, sx=3.46410161513775, sy=0.05, sz=0.05, rx=-2.61799387799149, 0.615479708670387, 0.785398163397448, vg=0.0, 0.0
-p:0.5, sh=2, sx=0.05, sy=3.43508830243667, sz=0.05, rx=-2.61799387799149, 0.615479708670387, 0.785398163397448, vr=0.0, vb=0.0
-p:0.5, sh=2, sx=0.05, sy=0.05, sz=2.82842712474619, rx=-2.61799387799149, 0.615479708670387, 0.785398163397448, vr=0.0, 0.0
+p:0.5, sh=2, sx=3.4641016151377544, sy=0.05, sz=0.05, rx=-2.6179938779914944, 0.6154797086703874, 0.7853981633974483, vg=0.0, 0.0
+p:0.5, sh=2, sx=0.05, sy=3.435088302436667, sz=0.05, rx=-2.6179938779914944, 0.6154797086703874, 0.7853981633974483, vr=0.0, vb=0.0
+p:0.5, sh=2, sx=0.05, sy=0.05, sz=2.8284271247461907, rx=-2.6179938779914944, 0.6154797086703874, 0.7853981633974483, vr=0.0, 0.0
 p:sh=2
 p:1.0, sh=1
Index: cpp/tests/geometry_goals/cylinder.goal
===================================================================
--- cpp/tests/geometry_goals/cylinder.goal	(revision 816)
+++ cpp/tests/geometry_goals/cylinder.goal	(revision 828)
@@ -12,7 +12,7 @@
 p:100.0, 1.0, -1.0, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:100.0, 1.0, 1.0, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:sh=2, sx=200.009999750012, sy=0.05, sz=0.05, rz=0.00999966668666524, vg=0.0, 0.0
-p:sh=2, sx=0.05, sy=3.99980001499875, sz=0.05, rz=0.00999966668666524, vr=0.0, vb=0.0
-p:sh=2, sx=0.05, sy=0.05, sz=2.0, rz=0.00999966668666524, vr=0.0, 0.0
+p:sh=2, sx=200.0099997500125, sy=0.05, sz=0.05, rz=0.009999666686665238, vg=0.0, 0.0
+p:sh=2, sx=0.05, sy=3.9998000149987503, sz=0.05, rz=0.009999666686665238, vr=0.0, vb=0.0
+p:sh=2, sx=0.05, sy=0.05, sz=2.0, rz=0.009999666686665238, vr=0.0, 0.0
 p:sh=3, sx=100.0
 j:0, 1, sh=1
Index: cpp/tests/geometry_goals/cylinder_ellipsoid.goal
===================================================================
--- cpp/tests/geometry_goals/cylinder_ellipsoid.goal	(revision 816)
+++ cpp/tests/geometry_goals/cylinder_ellipsoid.goal	(revision 828)
@@ -12,7 +12,7 @@
 p:2.0, 1.0, -1.0, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:2.0, 1.0, 1.0, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.5, sh=2, sx=3.2348263655315, sy=0.05, sz=0.05, rx=-3.14159265358979, rz=0.482170608511459, vg=0.0, 0.0
-p:0.5, sh=2, sx=0.05, sy=2.81253927824297, sz=0.05, rx=-3.14159265358979, rz=0.482170608511459, vr=0.0, vb=0.0
-p:0.5, sh=2, sx=0.05, sy=0.05, sz=2.0, rx=-3.14159265358979, rz=0.482170608511459, vr=0.0, 0.0
+p:0.5, sh=2, sx=3.2348263655315033, sy=0.05, sz=0.05, rx=-3.141592653589793, rz=0.4821706085114592, vg=0.0, 0.0
+p:0.5, sh=2, sx=0.05, sy=2.8125392782429737, sz=0.05, rx=-3.141592653589793, rz=0.4821706085114592, vr=0.0, vb=0.0
+p:0.5, sh=2, sx=0.05, sy=0.05, sz=2.0, rx=-3.141592653589793, rz=0.4821706085114592, vr=0.0, 0.0
 p:sh=3
 p:1.0, sh=1
Index: cpp/tests/geometry_goals/f1.goal
===================================================================
--- cpp/tests/geometry_goals/f1.goal	(revision 816)
+++ cpp/tests/geometry_goals/f1.goal	(revision 828)
@@ -4,24 +4,24 @@
 p:sh=2, sx=0.05, sy=0.5, sz=0.05, vr=0.0, vb=0.0
 p:sh=2, sx=0.05, sy=0.05, sz=0.5, vr=0.0, 0.0
-p:y=-0.649749999996966, -0.2, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:y=-0.649749999996966, 0.2, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:y=0.649749999996966, -0.2, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:y=0.649749999996966, 0.2, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:4.009699, -0.649749999996966, -0.2, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:4.009699, -0.649749999996966, 0.2, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:4.009699, 0.649749999996966, -0.2, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:4.009699, 0.649749999996966, 0.2, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:2.0048495, sh=2, sx=4.02960122972497, sy=0.05, sz=0.05, rz=0.0994291532144366, vg=0.0, 0.0
-p:2.0048495, sh=2, sx=0.05, sy=1.49860377187165, sz=0.05, rz=0.0994291532144366, vr=0.0, vb=0.0
-p:2.0048495, sh=2, sx=0.05, sy=0.05, sz=0.4, rz=0.0994291532144366, vr=0.0, 0.0
-p:0.3995, sh=3, sx=0.3995, sy=0.2, sz=0.2, rx=-1.5707963267949, rz=3.14159265358979
-p:0.798998347976005, -0.449749999996966, sh=3, sx=0.44975, sy=0.2, sz=0.2, rz=1.57079265358979
-p:1.163325, sh=3, sx=0.364325, sy=0.2, sz=0.2, rx=-1.5707963267949, rz=3.14159265358979
-p:1.879664, sh=3, sx=0.352014, sy=0.2, sz=0.2, rx=-1.5707963267949, rz=3.14159265358979
-p:2.23167643518891, -0.426006999997126, sh=3, sx=0.426007, sy=0.2, sz=0.2, rz=1.57079265358979
-p:2.657685, sh=3, sx=0.426007, sy=0.2, sz=0.2, rx=-1.5707963267949, rz=3.14159265358979
-p:3.5466955, sh=3, sx=0.4630035, sy=0.2, sz=0.2, rx=-1.5707963267949, rz=3.14159265358979
-p:2.23167643518891, 0.426006999997126, sh=3, sx=0.426007, sy=0.2, sz=0.2, rz=-1.57079265358979
-p:0.798998347976005, 0.449749999996966, sh=3, sx=0.44975, sy=0.2, sz=0.2, rz=-1.57079265358979
+p:y=-0.6497499999969658, -0.2, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:y=-0.6497499999969658, 0.2, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:y=0.6497499999969658, -0.2, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:y=0.6497499999969658, 0.2, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:4.009699, -0.6497499999969658, -0.2, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:4.009699, -0.6497499999969658, 0.2, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:4.009699, 0.6497499999969658, -0.2, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:4.009699, 0.6497499999969658, 0.2, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:2.0048495, sh=2, sx=4.029601229724972, sy=0.05, sz=0.05, rz=0.09942915321443663, vg=0.0, 0.0
+p:2.0048495, sh=2, sx=0.05, sy=1.498603771871648, sz=0.05, rz=0.09942915321443663, vr=0.0, vb=0.0
+p:2.0048495, sh=2, sx=0.05, sy=0.05, sz=0.4, rz=0.09942915321443663, vr=0.0, 0.0
+p:0.3995, sh=3, sx=0.3995, sy=0.2, sz=0.2, rx=-1.5707963267948966, rz=3.141592653589793
+p:0.7989983479760048, -0.44974999999696585, sh=3, sx=0.44975, sy=0.2, sz=0.2, rz=1.5707926535897934
+p:1.163325, sh=3, sx=0.36432499999999995, sy=0.2, sz=0.2, rx=-1.5707963267948966, rz=3.141592653589793
+p:1.879664, sh=3, sx=0.35201400000000005, sy=0.2, sz=0.2, rx=-1.5707963267948966, rz=3.141592653589793
+p:2.2316764351889136, -0.42600699999712605, sh=3, sx=0.42600699999999997, sy=0.2, sz=0.2, rz=1.5707926535897931
+p:2.657685, sh=3, sx=0.426007, sy=0.2, sz=0.2, rx=-1.5707963267948966, rz=3.141592653589793
+p:3.5466955000000002, sh=3, sx=0.4630035000000001, sy=0.2, sz=0.2, rx=-1.5707963267948966, rz=3.141592653589793
+p:2.2316764351889136, 0.42600699999712605, sh=3, sx=0.42600699999999997, sy=0.2, sz=0.2, rz=-1.5707926535897931
+p:0.7989983479760048, 0.44974999999696585, sh=3, sx=0.44975, sy=0.2, sz=0.2, rz=-1.5707926535897934
 j:0, 1, sh=1
 j:0, 2, sh=1
Index: cpp/tests/geometry_goals/surface.goal
===================================================================
--- cpp/tests/geometry_goals/surface.goal	(revision 816)
+++ cpp/tests/geometry_goals/surface.goal	(revision 828)
@@ -5,43 +5,43 @@
 p:sh=2, sx=0.05, sy=0.05, sz=0.5, vr=0.0, 0.0
 p:-0.6, -0.6, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.6, -0.6, 3.7, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.6, -0.6, 3.6999999999999997, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:-0.6, 0.6, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.6, 0.6, 3.7, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.6, 0.6, 3.6999999999999997, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:0.6, -0.6, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.6, -0.6, 3.7, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.6, -0.6, 3.6999999999999997, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:0.6, 0.6, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.6, 0.6, 3.7, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.6, 0.6, 3.6999999999999997, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:-0.6, -0.2, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.6, 0.2, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.6, 0.19999999999999996, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:-0.6, -0.2, 3.4, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.6, 0.2, 3.4, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.6, -0.2, 3.7, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.6, 0.2, 3.7, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.6, 0.2, 3.7, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.6, -0.2, 3.7, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.6, 0.19999999999999996, 3.4, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.6, -0.2, 3.6999999999999997, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.6, 0.19999999999999996, 3.6999999999999997, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.6, 0.2, 3.6999999999999997, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.6, -0.19999999999999996, 3.6999999999999997, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:0.6, 0.2, 3.4, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.6, -0.2, 3.4, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.6, -0.19999999999999996, 3.4, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:0.6, 0.2, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.6, -0.2, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.6, -0.19999999999999996, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:-0.6, -0.6, 3.4, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:-0.2, -0.6, 3.4, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.2, -0.6, 3.4, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.19999999999999996, -0.6, 3.4, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:0.6, -0.6, 3.4, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:0.6, 0.6, 3.4, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:0.2, 0.6, 3.4, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.2, 0.6, 3.4, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.19999999999999996, 0.6, 3.4, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:-0.6, 0.6, 3.4, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:-0.2, -0.6, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.2, -0.6, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.19999999999999996, -0.6, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:-0.2, -0.2, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.2, -0.2, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.2, 0.2, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.2, 0.2, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.19999999999999996, -0.2, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.2, 0.19999999999999996, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.19999999999999996, 0.19999999999999996, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:-0.2, 0.6, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.2, 0.6, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.2, 0.6, 3.7, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.2, 0.6, 3.7, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:0.2, -0.6, 3.7, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.2, -0.6, 3.7, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.19999999999999996, 0.6, 3.1, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.2, 0.6, 3.6999999999999997, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.19999999999999996, 0.6, 3.6999999999999997, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.2, -0.6, 3.6999999999999997, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:-0.19999999999999996, -0.6, 3.6999999999999997, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:0.35, 0.35, 2.9, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:0.35, 0.55, 2.9, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
@@ -65,164 +65,164 @@
 p:y=0.5, 4.0, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 p:z=4.5, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
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+p:-0.09366135907091948, 0.061829303819906055, 7.017696470598088, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.07336894472004808, 0.11786391688991005, 6.774877608576227, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.24039924851101563, 0.17389852995991403, 6.532058746554365, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
+p:0.3224077446169901, 0.09085832808674917, 6.939954482544949, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
 j:0, 1, sh=1
 j:0, 2, sh=1
Index: cpp/tests/geometry_goals/volume.goal
===================================================================
--- cpp/tests/geometry_goals/volume.goal	(revision 816)
+++ cpp/tests/geometry_goals/volume.goal	(revision 828)
@@ -4,18 +4,18 @@
 p:sh=2, sx=0.05, sy=0.5, sz=0.05, vr=0.0, vb=0.0
 p:sh=2, sx=0.05, sy=0.05, sz=0.5, vr=0.0, 0.0
-p:-0.601794692807856, -0.317762103550233, 5.7688604108175, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.164639201159108, -0.317762103550233, 3.37814340180292, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.164639201159108, -0.317762103550233, 3.85628680360583, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.164639201159108, -0.317762103550233, 4.33443020540875, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.164639201159108, 0.170856045392826, 3.37814340180292, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.164639201159108, 0.170856045392826, 3.85628680360583, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
-p:-0.164639201159108, 0.170856045392826, 4.33443020540875, sh=1, sx=0.05, sy=0.05, sz=0.05, vb=0.0
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 j:0, 2, sh=1
