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Properties of the 2 x 2 Toroidal Polyhex Matrix

It was explained above that the three-element code used to characterize a toroidal polyhex is derived from a convenient special case of the matrix [Pg.280]

A useful general property is that the number of hexagons is equal to the absolute value of ad-be. [Pg.281]

Rules for manipulation of the matrix elements have been given which enable isomorphic equivalences of matrices to be detected, as an alternative to the graphical approach of the preceding section. [Pg.281]

Here h is the highest common factor of a and b, and x is the multiplicative inverse of bih modulo a/h (or, put another way, x is an integer such that xb -ya = h for some integer y). Rules 2 and 3 are self-inverse, i.e., a second application restores the original matrix. [Pg.282]

Finally, a fifth, and obvious, mle needs to be stated in order to construct a rule set that is useful for comprehensive enumeration.  [Pg.282]


See other pages where Properties of the 2 x 2 Toroidal Polyhex Matrix is mentioned: [Pg.280]   


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