A bladed tool, customarily used for hewing or chopping things. Think hammer but with an edged blade in place of the flat/convex head. Possibly more common than hammers in Early Days (pre-period), because flints and other breakable rocks more often break to leave edges (especially when you're using them as hammers). Lost some popularity when armour got too solid for them to go through easily, but this was restored when they were put on poles (see poleaxe), which gave range and increased hitting power.
The smaller, lighter throwing axe is a missile weapon, so it is not used in tournaments. Rubber and more foam is used instead of rattan in its construction (NEED TO CHECK THIS).