Use a live or dead center for turning spindles?

I have an old craftsman lathe. This center would be going into the tailstock side. I feel like I need a live center. But I seem to remember that my school's lathe had a tailstock center with the four teeth on it, and I cant find a live center with four teeth.

You only need an idler point in the center on the end of the right side. But facing your lathe, with the drive/motor on the left... Drive the teeth into the center of your spin stock, on the left, as this keeps it from slipping when you start using your awl/ chipper to work the wood.