Sunday Times Teaser 2647 – Happy Medium

by Victor Bryant

In order to conduct a seance, Adam, Alan, Andy, Eden, Eric, Fred, Gary, Glen, John, Mike, Pete and Tony sat around a table of radius one metre. Twelve equally spaced points on the edge of the table each represented a different letters.

A light started at the centre of the table and then, after moving to one of the 12 points, moved between the points in a way that spelt out the name of one of those present, finally returning to the centre. It then repeated this process twice, first to spell a day of the week and second to spell a month.

The individual legs of these paths were all straight lines whose lengths were a whole number of centimetres.

Which three words did it spell out?