1, 2, 4, 8, 16, 31........

31? Yep 31. Bizarre....

Bear with me here, its complicated but it is interesting.

That's what you get if you start with a circle and draw 1 single dot on the circumference. One area in the circle. If you then draw another dot and join them, you get 2 areas in the circle. Carry on drawing another dot and join each dot to all the others on the circumference. Count the separate areas each time. What comes next? I couldn't be bothered drawing it out beyond 6 points, but the answer is 57.

This is what you get if you put a artist/graphic designer who's into geometry, together with a scientist and give them alcohol on a school night. Bill did try and explain the series but its a bit beyond me. Interesting though.