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May 22, 2017

Filed under: edited notes on math theory demonstration — Rob @ 4:19 pm

May 16, 2017

Filed under: edited notes on math theory demonstration — Rob @ 11:23 am

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.

May 13, 2017

Filed under: edited notes on math theory demonstration — Rob @ 2:01 pm

May 11, 2017

Filed under: edited notes on math theory demonstration — Rob @ 7:51 pm

May 10, 2017

Filed under: edited notes on math theory demonstration — Rob @ 2:45 pm

May 9, 2017

More detail

Filed under: edited notes on math theory demonstration — Rob @ 5:46 pm

May 7, 2017

Page 16

Filed under: edited notes on math theory demonstration — Rob @ 4:48 pm

The connection between regular space and l*l space.

Page 15

Filed under: edited notes on math theory demonstration — Rob @ 4:45 pm

A connection between regular space and l*l space.

 

 

Page 14

Filed under: edited notes on math theory demonstration — Rob @ 4:44 pm

A clearer demonstration of some moves.

May 4, 2017

Page 13

Filed under: edited notes on math theory demonstration — Rob @ 6:59 pm

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.

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