PASS P: apices strictly on opposite sides of the plane a1a2a3 (embedded bipyramid)
PASS P': apices strictly on opposite sides of the plane a1a2a3 (embedded bipyramid)
PASS P and P' induce the same orientation on the labelled triangulation
FAIL edge y-a1: equal dihedral angle (145.773597 deg, convex)
FAIL edge y-a2: equal dihedral angle (32.255916 deg, convex)
FAIL edge y-a3: equal dihedral angle (45.956897 deg, convex)
FAIL edge x-a1: equal dihedral angle (120.827928 deg, convex)
FAIL edge x-a2: equal dihedral angle (27.762149 deg, convex)
FAIL edge x-a3: equal dihedral angle (37.921330 deg, convex)
PASS edge a1-a2: equal dihedral angle (71.616660 deg, convex)
FAIL edge a1-a3: equal dihedral angle (38.713308 deg, convex)
FAIL edge a2-a3: equal dihedral angle (273.823852 deg, reflex)
  face x-a2-a1 at x: 33.0198 vs 33.0198 deg
  face x-a2-a1 at a2: 124.6423 vs 113.8981 deg
  face x-a2-a1 at a1: 22.3380 vs 33.0821 deg
  face x-a3-a2 at x: 49.5871 vs 49.5871 deg
  face x-a3-a2 at a3: 34.1520 vs 51.0639 deg
  face x-a3-a2 at a2: 96.2609 vs 79.3490 deg
  face x-a1-a3 at x: 24.3942 vs 24.3942 deg
  face x-a1-a3 at a1: 52.9510 vs 44.8633 deg
  face x-a1-a3 at a3: 102.6548 vs 110.7425 deg
  face y-a1-a2 at y: 90.7675 vs 90.7675 deg
  face y-a1-a2 at a1: 29.9066 vs 13.1467 deg
  face y-a1-a2 at a2: 59.3259 vs 76.0858 deg
  face y-a2-a3 at y: 128.5177 vs 128.5177 deg
  face y-a2-a3 at a2: 27.1247 vs 41.0243 deg
  face y-a2-a3 at a3: 24.3576 vs 10.4580 deg
  face y-a3-a1 at y: 47.9368 vs 47.9368 deg
  face y-a3-a1 at a3: 92.2459 vs 76.5626 deg
  face y-a3-a1 at a1: 39.8173 vs 55.5007 deg
PASS number of face angles that differ exactly: 16 of 18
SOME CHECK FAILED
