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Roundheads were Parliamentary/Puritan soldiers who wore tight fitting un-orimented metal helmets, while Cavaliers were kings men who wore large hats with feathers as their uniform headdress.

Some differences between the round-heads and the cavaliers are that the cavaliers supported the King and the round-heads supported Parliament.
The Cavaliers fight in the battle field, The roundheads is an insulting nickname for parliment members in England since their haircuts made their heads look round.