Nonagon tiling

Try a fun LOGO tiling

Age

11 to 14

Challenge level

Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving

Being curious Being resourceful Being resilient Being collaborative

Problem

Several stimulating tilings of the plane can be obtained by considering extensions and modifications to the following procedure:



TO TILE :N
FD :N 
REPEAT 3 [RT 15 FD :N]
LT 120 FD :N LT 75 FD :N
REPEAT 3 [LT 15 FD :N]
LT 165
END

Try TILE 40 (say)

This generates an extraordinary equilateral nine sided tile which can be used to create spiral tilings with one or more arms.

The diagram above shows the start of one such spiral tiling.

Explore the possibilities of this tile and formulate elegant programs to replicate the tilings that you discover.

[Older readers are reminded of the earlier poster designed by Leapfrog's Ltd in the 1980's]