A Calculus of Number Based on Spatial Forms - University of ...
A Calculus of Number Based on Spatial Forms - University of ...
A Calculus of Number Based on Spatial Forms - University of ...
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24<br />
Involuti<strong>on</strong>: ([A]) =A : =[(A)]<br />
:<br />
Equivalent Expressi<strong>on</strong>s Template Replacement<br />
([])<br />
<br />
A = <br />
( ([][]) )<br />
(([([][])]))<br />
A = ([][])<br />
[ ()([() ()])]<br />
[ () () () ] A = ()()<br />
[([() ()])() ] A = ()()<br />
( [][([] [])])<br />
( [] [] [] ) A = [][]<br />
([([] [])][] ) A = [][]<br />
([] )<br />
([][]) A =<br />
(([[()]][]))<br />
(([ ][])) A = <br />
(( [])) A =<br />
( ) A = <br />
Figure 4.1: Examples <str<strong>on</strong>g>of</str<strong>on</strong>g> Involuti<strong>on</strong>.