Node data is stored in node_data.json. It contains fields:

1. "node_labels" -- each node has a label [x, y, f] where x and y are coordinates local to the face number f.
2. "node_positions" -- each node has a position [x_c, y_c] where x_c and y_c are cartesian coordinates. This drawing kinda sucks right now.
3. "axis0_move_cycles" etc -- each axis as associated to 3 different "moves" that correspond to rotating a slice of the rubik's cube. These are represented [[u1, v1], [u2, v2], ..., [u12, v12]] where applying a move in the forward direction goes u1 -> v1, u2 -> v2, etc. Rotating in the reverse direction goes v1 -> u1, v2 -> u2, etc.
4. "axis0_atomic_cycles" etc -- similar to the move cycles, we define 3 different "atomic cycles" per axis. Each is conceptually one third of a move cycle -- it can be used to make an animation for the move cycle of the same axis and index.