Message Four seems to be well understood ... Do peoplw agree that % Seems to signify the abstract concept 'TIME' whilst !%! seems to mean a time measured in some units (call them ticks) And @ Seems to siginfy the abstract concept 'DISTANCE' and !@! seems to mean a distcance measured in some units (call them cetemeters) By analogy, we get to $ being a SPEED If you use the same drawing conventions to draw the rulers as we did to draw the Tau-Cetean, then we get X X x x X x x x x Does this imply that the Tau-Cetean is in fact 10 cetemeters 'wide' rather than 'tall' - I guess he's fairly circular ... Would the following be a fair working description of the message translation so far ... TIME (%) = 9 ticks ( !%!<num>!%! ) TIME = 26 ticks TIME = 44 ticks TIME = 63 ticks If Q denotes a time Then Q = 1 6 = 1 x pow (6,1) 36 = 1 x pow (6,2) 216 = 1 x pow (6,3) 1296 = 1 x pow (6,4) 7776 = 1 x pow (6,5) 72 = 2 x pow (6,2) ?? If Length (@) = 'X' Then the length = 1 cetemeter If Length = 'X X X' Then the length = 3 cetemeter If Length = 'X X X X X' Then the length = 5 cetemeter If Length = The Length of a '0' (@0@) (A Tau-Ceatean) Then the length = 10 cetemeter A length/a time = a speed (!$!) (cetemeters/tick) SPEED = a number ( 702,767,143 ctm/tick ?? ) How does line 13 translate ? Pete