Hook: Floor Small (Green Square)The Bio Energy Fiber decoration fits into a small green square floor hook.
Hook: Floor Medium Narrow (Blue Rectangle)The Bio Energy Fiber decoration fits into a narrow blue medium rectangle floor hook.
Hook: Floor Medium (Blue Square)The Bio Energy Fiber decoration fits into a blue medium square floor hook.
How to Get a Bio Energy Fiber Decoration
Every time you complete your personal conquest, you receive a lockbox with three random conquest Crafting Node Decorations, one of which could possibly be a Bio Energy Fiber. You get a second lockbox if you complete your guild conquest goal as well.
If you're looking to get a Bio Energy Fiber and haven't gotten lucky with your conquest rewards, you can buy one from the GTN from another player. These decorations are farily inexpensive because there is an unlimited supply - more are created every time someone finishes their conquest goal.