Presentation on theme: "Multilink Jennifer Piggott. 2 www.nrich.maths.org Outline The session will involve investigating some fruitful mathematical Involving the use of multilink."— Presentation transcript:
Multilink Jennifer Piggott
2 Outline The session will involve investigating some fruitful mathematical Involving the use of multilink cubes. We will work on problems and environments available on the NRICH website and will examine their potential to meet the needs of a range of curriculum contexts. We will look in detail at two or three examples based on: Tiling isosceles and equilateral triangles Properties of cubes
3 Triominoes Can you imagine all the Triominoes? For each Triomino can you tile any square?
4 Triominoes (Oct 2000) A triomino is a flat L shape made from 3 square tiles. A chess board is marked into squares the same size as the tiles and just one square, anywhere on the board, is coloured red. The aim is to cover the board with trionimoes, not overlapping, so that only the red square, wherever it is, is exposed. Is this possible? Investigate. Explain.
5 Tetrominoes How many 2-D tetrominoes are there? How do you know you have them all? Do you have a strategy? Convince me. What about 3-D tetronimoes?
6 27-cube So much soma See also: Soma- so good (March 2000) Nine colours (April 2001) This figure needs all seven pieces This figure needs three of the seven pieces This figure can be made from four of the seven pieces
7 Pentominoes and Hexonimoes Alf Coles
8 Other problems On the edge (Sept 2004) Inside out (Sept 2004)