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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?

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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.

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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?

LOGO Challenge - Blob

Age 14 to 18 Challenge Level:

Think carefully about the procedure below.
This procedure looks at the technique called recursion and can be used to build up a particularly pleasing catalogue of patterns that spiral!

Investigate this intriguing procedure, try to formulate some ideas about what is happening and test any conjectures that arise.
TO BLOB :A :C
FD 5 RT :A
WAIT 10
BLOB :A + :C :C
END

You will have to tell LOGO to "HALT" at some point otherwise this will go on forever - why?
Try: BLOB 3 9 / BLOB 2 8 and go from there.

BLOB 1 10 and BLOB 11 18 are reproduced here for you...
Two examples of the procedure