Math-a-magic: How to force all participants onto same color squares of checker board?

101 Views Asked by At

Setup

Setup 3x3 checker board.

    X O X
    O X O
    X O X

Rules

  • Audience picks a random square on the board for their point of origin. [not sure if this rule is correct]
  • Magician will choose & call out the number of spaces the audience must take to move to next space.
  • Movement between spaces is constrained to horizontal and vertical directions, i.e. Left, Right, Up, Down only. No diagonal moves allowed between spaces.

Magicians Secret

  • Pick even number then audience will stay on same colored space.
  • Pick odd number then audience will switch to opposite colored space.

Math-a-Magic

In what order must the Magician call out the odd and/or even numbers to force entire audience on to the same colored square?