Sunday Times Teaser 2595 – Stylish Fences
by Rex Lanham
Published: 17 June 2012 (link)
Farmer Giles has a hexagonal field bounded by six straight fences. The six corners lie on a circle of diameter somewhere around 250 metres. At three alternate corners there are stiles. The angles of the hexagon at the corners without stiles are all the same. All six fences are different whole numbers of metres long. I have just walked in a straight line from one of the stiles to another and the distance walked was a whole number of metres.