Games predate civilization. Some of our oldest games still survive to this day, like mangala (or stones), dice, checkers, tic-tac-toe and chess. What gives them their lasting power? What can we gain from them as designers of complex computer games? Simplicity and elegance.Tim Ryan published on Gamasutra
What is the purpose of creating symmetry in level design? What are ways in which level design could be more interesting, without creating perfect symmetry between the levels? Does level design become more balanced the more iterations there are?
In your group, decide the overall look of the game board. Will it be symmetrical or asymmetrical? As you discuss, think about how XYZ's requirements might warrant one over the other.