Darn Pokey Wire

[spykitten.livejournal.com]

I'm making a wire framework for wings (Halloween, how'd you guess?) and am having to create sharp tips of raw wire where-ever the wings have points.
How can I cover these tips to protect people's eyes? I tried big globs of glue but they didn't really make a difference. I don't want to make a mess of tape on each point, as that would negate the pointiness. I feel like there's an obvious solution that I'm missing (I wish I had little rubber caps I could slip on).
Any ideas?

P.S. I even took a explanatory photo to post, but then I left my digital camera's cable at home. D'oh!