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'LOGO Challenge - Sequences and Pentagrams' printed from http://nrich.maths.org/

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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?

pentangles