### 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?

# First Forward Into Logo 6: Variables and Procedures

##### Age 11 to 18 Challenge Level:

First Forward Into Logo
Previous: FF5

In FF4 you investigated the instruction:

REPEAT 360 [FD 1 RT 1]

Hopefully you altered it as you saw fit and produced some exciting shapes. So it is timely to introduce you to the idea of a variable . As the word implies, a variable is something that varies, something that changes.

You may find the following a quicker way of drawing circles and circular patterns. It is called a procedure and has to be written in a particular way.

TO CIRCLE :CH
REPEAT 360 [ FD :CH RT 1]
END

Notice how the procedure is set out:
First a title / a command TO CIRCLE
then the variable :CH
followed by the instructions REPEAT 360 [ FD :CH RT 1]
then a formal closing of the procedure END

N.B. the variable, :CH could have been any letter or letters that you wish!

 Now experiment with the procedure: CIRCLE 3 CIRCLE 6 CIRCLE -3 CIRCLE 9

Building on this idea of a procedure we could have written:

TO CIRC :CH :ANG
REPEAT 360 [ FD :CH RT :ANG]
END

This is a procedure with two variables!

Can you anticipate what will change and what will happen now?
Can you see what is now possible?
Go on experiment! Try:
CIRC 3 3
CIRC 3 6
CIRC 3 30

What is happening?

 Why not be bolder and try say: CIRC 30 90 CIRC 30 45 CIRC 30 18 etc., etc.,

What do you notice?
What conclusions can you come to?

Next: FF7