17 Sep
2006
17 Sep
'06
12:43 p.m.
Quoting Simon Plouffe <simon.plouffe@gmail.com>:
each number in {0,1} is plotted on the unit circle with x in {0,1} -> exp(2*pi*i*x), and then from one x to the other a line is drawn.
This scheme works well in cellular automata theory. At least for one dimensional automata. 1) an automaton with cyclic boundary condition, connect a configuration to the evolved configuration. 2) de Bruijn diagram: connect neighborhood fragments according to represent the evolution of the complete neighborhood. In complex variable theory, illustrate Blaschke products (mapping the unit circle into itself) by connecting points to their images. - hvm ------------------------------------------------- www.correo.unam.mx UNAMonos Comunicándonos