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LOGO Challenge 5 - Patch

Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?

LOGO Challenge - Triangles-squares-stars

Can you recreate these designs? What are the basic units? What movement is required between each unit? Some elegant use of procedures will help - variables not essential.

LOGO Challenge - Tilings

Three examples of particular tilings of the plane, namely those where - NOT all corners of the tile are vertices of the tiling. You might like to produce an elegant program to replicate one or all of these.


Age 11 to 14
Challenge Level

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.

Chess boards for this game are of size 2 k by 2 k where k is any whole number

For example 2 by 2, 4 by 4, 8 by 8 etc.

The aim is to cover the board with triominoes, not overlapping, so that only the red square, wherever it is, is exposed. Is this possible? Investigate. Explain.