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For randomisation in the "ancient game": there was none, as the game that Murray based his idea on had all pieces the same colour. The game was called "leap-frog", but I've not been able to find any reference to it outside Murray's own "History of Board-Games Other Than Chess".
(hide) If you click on a person's name and then click Finished games you will have a list of games that have been completed, then click on the name of the game to get a summary of all of these games, then click on the name of the game again and you will have a game to view and analyze. (Servant) (show all tips)