## Eigenvalues.

Each state has two ancestors, the square of this number is

4;Nhas the minimum sum possible which is8. Eigenvalues are readily calculated; is a unit matrix, as is its tensor square which commutes with . has eigenvalues ; its tensor square their products in various combinations, so that altogetherNhas eigenvalues0and2; indeed it is essentially (projectively) idempotent since . This is the least rate of increase possible for any rule, conforming to the fact that every configuration of Rule 6 has exactly two ancestors.

Harold V. McIntosh

E-mail:mcintosh@servidor.unam.mx