This graph is an example where definetely several possibilities exist for 'correct' layouting (the two main parts oriented the same, or (as shown) one inverted).
vertices: 90
faces: 24+4
edges: 116
genus: 0
characteristic polynomial:
(-1 + x)2 (1 + x)2 (-1 - 3x + x2 + x3)2 (13 - 1155x - ... - 3x39 + x40) (-9 - 173x + ... + x39 + x40)
dual's characteristic polynomial:
(-2 + x) (2 + x)3 (-2 + 69x + ... - 2x9 + x10) (-2 + 47x + ... - 2x9 + x10)
chromatic number: 4
lattice group (lossy):
Z(2) 80 × A(80)