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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 - Following On

Age 11 to 18 Challenge Level:

The principal argument for using LOGO in classrooms is the development of logical thinking and sharper learning skills. Using procedures allows the user to break down a major task into smaller units. Using turtle geometry in particular offers a wealth of possibilities for the user to explore smaller units and plan logical experiments. In doing so the user can see the effects of their reasoning in what the turtle does.

So the invitation is, as always, to explore...

Look carefully at the basic unit in each design...

n.b. The numbers 1.61803 and 0.61803 may help you.

Squares in squares

Triangles in triangles