So far you have met procedures similar to the following:
TO SQUARE :N REPEAT 4 [FD :N RT 90] END |
TO SHAPE :X REPEAT 5 [FD :X RT 72] END |
What do you think the following represent on the screen:
TO TRI :P REPEAT 3 [FD :P RT 120] END |
TO HEX :Y REPEAT 6 [FD :Y RT 60] END |
Discuss your ideas with someone before testing out what you think you see in your mind's eye.
Looking again at the numbers 3 and 120; 4 & 90; 5 & 72 and 6 & 60 perhaps you could not help but do notice that their product is always 360.
Have you an explanation for this phenomena?
Can you continue with:
7 and ?
8 and ?
9 and ?
10 and ?
12 and ?
13 and ?
14 and ?
and so on…..
Does this help make sense of the following procedure:
TO POLY :N :SIDE REPEAT :N [ FD :SIDE RT 360/:N] END |
Try with POLY 13 65
If you can, discuss your ideas with someone before testing out what you think you see in your mind's eye.
Experiment further with:
POLY 15 60
POLY 17 54
POLY 19 40
Etc
What is happening as the value of :N increases?
What will result if the variables were respectively:
Variable? |
:N |
:SIDE |
1st |
20 |
20 |
2nd |
40 |
20 |
3rd |
60 |
20 |
4th |
80 |
20 |
Discuss your ideas with someone before testing out what you think you see in your mind's eye.
Can you imagine what is happening to the polygon as you increase the number of sides?
What do you think POLY 360 5 looks like?