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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 - Sequences and Pentagrams

Age 11 to 18 Challenge Level:

Just to remind you that the WAIT command just slows the program down a little so you have time to see what is being printed.

Explore this how this program produces the sequences it does. What are you controlling when you change the values of the variables?


Pentagrams are such innocent shapes but this challenge is not easy.

There is a lot of work that can be done away from the computer.

How about considering the pentagram as a unicursal curve (a shape you can draw in one go without taking your pencil off the paper and without going over the same line twice).

That probably helps with drawing the basic pentagram and then joining six of them together to make most of the image - but where next?

If you successfully reporduce this design you should be congratulated so don't be discouraged.