one of the things that marks that weapon as a pole axe is the fact that it has the spikes that stick out sideways from the head, and lower down through the shaft. These are a dinstictive part of the pole axe. There is also the 'Beck du Corban' which has a hammer head with a back spike, this is also classified as a pole axe and has the side spikes. A halberd usually has a back hook or spike, rather than a hammer head, and has an axe type blade with a spear type blade at the top and frequently has a butt spike as well.
In the middle of this picture is one form of a halberd, it is the one with the red tassles below the head.
Also I would add that the word for spear used by Ringeck and Lichtenauer is "sper" whereas Mair, Talhoffer, and the Gladitoria use the word Spieß. Also Spieß has attained a modern equivelant to a barbacue spit or skewer and is more entamologiacly (spelling?) correct when compared with pike than it is with spear. However, it is also correctly translated as spear, since a pike is just one of the subsets of the weapons group we know as spears. Modern people have a tendency to overclassify things.
hope this helps.
Brian Hunt
GFS