I am trying to understand Chu Spaces - I am not a mathematician. i cannot get past the first three element Chu Space. I cannot see how the elements a, b, c are uniquely mapped to the three row binary/eight column matrix provided. I would think there would be other colorings possible. Any insight you can provide would be helpful. Thank you!

Hello,

I am trying to understand Chu Spaces - I am not a mathematician. i cannot get past the first three element Chu Space. I cannot see how the elements a, b, c are uniquely mapped to the three row binary/eight column matrix provided. I would think there would be other colorings possible. Any insight you can provide would be helpful. Thank you!