There are four equally spaced beads on a circle. How many straight lines are needed to connect each bead with every other bead?

The first bead needs three lines to connect it to every other bead.
The second bead needs two more lines to connect it to every other bead (it's already connected to bead 1).
The third bead needs one line to connect it to bead 4 (it's already connected to 1 and 2).
The fourth bead is already connected to all the other beads, so no additional lines are needed.

That's six lines total.