What would be the smallest number of moves needed to move a Knight
from a chess set from one corner to the opposite corner of a 99 by
99 square board?
With one cut a piece of card 16 cm by 9 cm can be made into two pieces which can be rearranged to form a square 12 cm by 12 cm. Explain how this can be done.
A cylindrical helix is just a spiral on a cylinder, like an ordinary spring or the thread on a bolt. If I turn a left-handed helix over (top to bottom) does it become a right handed helix?
Why not challenge a friend to play this transformation game?
Players take it in turns to move. When it is a player's turn, s/he must try to move the playing piece from where it is on the board to another of the marked triangles. S/he must use a transformation or combination of transformations corresponding to one or more of the cards in
his/her hand. In the case of more than one card, the intermediate positions of the playing piece need not correspond to a marked triangle.