How about a countably infinite string of machines similar to my original machines but having no input where at each print cycle each machine prints a one or zero at random.
The stings they produce read left to right or right to left is a number = a universe configuration. Eventually some selection of output numbers will match the sequence of numbers for any universe. A particular universe would not necessarily get its next number right away - it would usually wait a random number of print cycles to get to its next number while some other universes get their next number. That seems to work. Hal
