You certainly had fun with this! Yes, it’s “lucky bamboo,” a name which is completely inappropriate given that it’s not bamboo (but Dracaena sanderiana) and it’s certainly not lucky:
Now “spiral lucky bamboo” is usually dracaena (or as I like to call it “not-bamboo”) that’s been exposed to a unidirectional light source and turned at intervals to create a contorted spiral shape:
These plants, on the other hand, have been cut into straight sections and bound with shiny gold wire in ever increasing lengths so that we have a leaning tower of not-bamboo surrounded by adulating ceramic frogs (good eyes Anne and Jam!). Given enough time – a few weeks, maybe – whatever architectural appeal this arrangement had will be covered with leafy growth from all those sprouting nodes.
There’s a homework assignment for someone: buy one of these, then film it under time lapse photography. If our tech guys ever get our video capability up on this blog, I’ll post them!