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Spirostars
A spiropath is a sequence of connected line segments end to end taking different directions. The same spiropath is iterated. When does it cycle and when does it go on indefinitely?
LOGO Challenge - the Humble Square
Look at how the pattern is built up - in that way you will know how to break the final pattern down into more manageable pieces.
LOGO Challenge - the Logic of LOGO
Just four procedures were used to produce a design. How was it done? Can you be systematic and elegant so that someone can follow your logic?
Age 14 to 18 Challenge Level:
You might like to make the number after theWAIT command larger so that you have time to see what is happening. Alternatively, many LOGO programmes allow you to "Step" through a procedure and see the results of each line of code.
There are two variables - try fixing one and varying the other.
It might also be helpful to imagine the variable as a box into which you put a number and to record on a piece of paper the number in the variable boxes after each iteration of the procedure.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.