1. Think carefully about the procedure below.

Like the procedures from last month it too revisits the technique called recursion and can be used to build up a particular pleasing catalogue of patterns that spiral!

Investigate this intriguing procedure, try to formulate some ideas about what is happening and test any conjectures that arise.

TO BLOB :A :C
FD 5
RT :A
BLOB :A + :C :C
END

Try: BLOB 3 9 / BLOB 2 8 and go from there.

BLOB 1 10 and BLOB 11 18 are reproduced here for you


2. In a more direct geometrical sense:

"They were particularly excited by the stars - so central to their designs."

Oh, how these words have come to haunt me.

I now have stars before my eyes. I have been sent a dozen different tilings of the plane which incorporate STARS!

Below are three uniform tilings which use regular polygons and a 'star polygon'.

N.B. Every corner of a tile is a vertex of the tiling.


You might like to produce an elegant program to replicate these.