Thread: Right angles in Octagon

A quadrilateral can have four right angles. What is the largest number of right angles an convex octagon can have?

Hello, Ragi!

Did you make a sketch?

A quadrilateral can have four right angles.
What is the largest number of right angles an convex octagon can have?

Three . . . it can be done.

Code:

                        o
                    *       *
                *               *
            o                       o
          *                           *
        *                               * 
      *                                   *
    o                                       o
   *                                         *
  *                                           *
 *                                             *
o  90°                                     90°  o
  *                                           *
    *                                       *
      *                                   *
        *                               *
          *                           *
            *                       *
              *                   *
                *               *
                  *           *
                    *  90°  *
                      *   *
                        o

Obviously, there cannot be four right angles.