This worksheet gives sets of instructions for students to follow on a 1cm grid to produce a shape. The second part of the worksheet asks students to draw standard loci on plain paper. Students could then go on to using LOGO. Answers are included.
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Langton's ant: https://youtu.be/NWBToaXK5T0
Langton's ant simulation: http://www.langtonant.com/
John Conway's Game of Life: http://pi.math.cornell.edu/~lipa/mec/lesson6.html