What happens when you have twi.bz point to tinyurl, and tinyurl point to bit.ly, and bit.ly point back to the original twi.bz link? :P Can I create a URL short

What happens when you have twi.bz point to tinyurl, and tinyurl point to bit.ly, and bit.ly point back to the original twi.bz link? :P Can I create a URL shortener infinite loop?