For Zyuoh The World to select an animal to use, he needs to rotate the Cube. More on the item, it has four modes: Transformation, Summon, Combine, and Cube Search.
[Source: HeroShock]
UPDATE (2/17/16): Now with better images of the weapons, updated title to better reflect the current information found in this post. Special thanks to Doubutsu Sentai Tumblr for the info.