LOGO Challenge - Sequences and Pentagrams
Explore this how this program produces the sequences it does. What
are you controlling when you change the values of the variables?
Age
11 to 18
Challenge level
Problem
Think about the procedure below.
Discuss with others and try evaluating the procedure BEFORE copying it out and experimenting further.
TO GROW :X :A
IF :A > 2000 [STOP]
PR :A
WAIT 15
GROW :X :X * :A
END
Try GROW 2 2 and GROW 22 2 as well as
GROW 2 22 .
What will happen to GROW .2 2 or GROW 2
.2?
Can you construct alternative sequences that GROW?
While geometrically....
Can you elegantly complete the next stage of growth for this pentagram 'animal'?
What about the next stage after that?
Image
Teachers' Resources
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.