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'LOGO Challenge 7 - More Stars and Squares' printed from http://nrich.maths.org/

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Taking squares as a theme, it would be remiss not to revisit a familiar idea : Picture of eight pointed stars fromed by squares

And a new idea:

TO SQ :N
REPEAT 4 [ FD :N RT 90]
END

Then type SQ 50 and see what happens. What about SQ 30?

Now can you write another procedure to produce this ring of squares? It might start:
TO RINGSQ :N
REPEAT 8 [SQ :N ...

But why not REPEAT 6 and then turn a little?

Or, why not consider a systematic reduction of the basic design?

Second star

Why not then put all the four designs together?

Another diagram based on the text

Why not add others that are bigger?

BUT what has this got to do with the following numbers:

0.4142; 1.4142 and 2.4142?