I found this on another thread, and I think it helps clear up the question:
So it sounds like they BOTH have blue rings that are chain-like, but that the chain on bimaculoides is unbroken, and does not have spokes (sunburst) radiating out, while bimaculatus has a broken blue chain, and spokes (sunburst) radiating out.CaptFish;164736 said:from "Cephalopods: A World Guide"
Bimaculatus - The ocellus contains an iridescent blue ring in the form of broken chain links with spokes extending to the outer edge of the false eye spot. - small egged- size body to 20cm and arms 80cm
Bimaculoides- The iridescent ring with in the ocellus is in the form of unbroken chain links. - large egged- body 12cm and arms 35cm
pics of Ollie here: http://www.tonmo.com/cephcare/BimacCareSheet.php