I thought it might be simpler to access the third level l*l*l then the alpha and beta parts could separate out. Then there would be three levels. Since we don’t label anymore once we reach the circular form, it must be that there is only a rearrangement of the elements which leads to the two different representations.

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### Page 13

This is showing how we can change the placement of Z(1) and Z(2). All rotations of the double self-joining loop upon itself are equivalent. Then we can separate Z(1) into 1+, 1- and D(1). Then rotate 1+ and 1- around, Z(2) remains as is. Place 1+ and 1- close to Z(2). Then separate Z(2) into 2+ and 2-, we can move 1+ and 1- close to D(2). In this way, going further, the placements of Z(1) and Z(2) can be switched.