What makes a tessellation uniform

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Wolfram Alpha » Explore anything with the first computational knowledge engine. There are also "demiregular" tessellations, but mathematicians disagree on what they actually are! All these images were made using Tessellation Artist , with some color added using a paint program. Hide Ads About Ads. Tessellation A pattern of shapes that fit perfectly together!

Examples: Rectangles. Octagons and Squares. Different Pentagons. A chess board is marked into squares the same size as the tiles and just one square, anywhere on the board, is coloured red. Can you cover the board with trionimoes so that only the square is exposed? Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?

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.