A famous problem of antiquity is to divide a given angle into three equal parts using just a compass and a straightedge. People tried very hard to solve this problem, until it was eventually proven that you can't. A compass and a straightedge just aren't enough to trisect any given angle.

Surprisingly, however, you can trisect an angle using origami. Just a few folds on a piece of paper and you're done. See this article on Wild Maths to find out how.

*Wild Maths encourages students to explore maths beyond the classroom and is designed to nurture mathematical creativity. The site is aimed at 7 to 16 year-olds, but open to all. It provides games, investigations, stories and spaces to explore, where discoveries are to be made. Some have starting points, some a big question and others offer you a free space to investigate. *

*Return to the Plus Advent Calendar*