One rich source of tilings is to found in the mausoleums, mosques and minarets found throughout the Islamic world.

Below are three particular favourites of mine.

Study them carefully, locate the recurring themes and attempt to reproduce them using what you know of LOGO procedures.

FIRST FORWARD

Beginners can start with FIRST FORWARD 1 to 5 here or go back and follow through the series month by month starting from the Introduction to LOGO in July 1999.

• FIRST FORWARD 1
• FIRST FORWARD 2
• FIRST FORWARD 3
• FIRST FORWARD 4
• FIRST FORWARD 5

FIRST FORWARD 6

Last month you looked at the following procedures and were invited to alter them at your leisure:

TO POLY :N
REPEAT :N [FD 45 RT 360/:N]
END

TO POLY :N :M
REPEAT :N [FD :M RT 360/:N]
END

This month ...two activities:

Activity one:

Consider REPEAT 5 [ FD 100 RT 144] .........what do you think this means?

Try to imagine what is happening before entering the procedure into a machine.

Imagine being the 'turtle' that creates the graphic....how many times does it turn? Through how many degrees has it turned when it has finished the procedure?

Activity two:

Consider the procedure below. What do you think is happening? Talk through with your friends what you think the procedure is all about. Only then enter it into a machine and experiment with it.

TO GAZE :M :N
REPEAT :N [ FD :M LT 720/:N]
END

Try GAZE 100 5; GAZE 120 7; GAZE 200 9; GAZE 50 8 (Beware maybe not what you think!) Okay then what about GAZE 150 12? GAZE 250 16?

Alternatively ... you might like to write a procedure for any of the following shapes? Walk them first - either in your mind or in the playground.