LOGO challenge - tilings
Three examples of particular tilings of the plane, namely those where - NOT all corners of the tile are vertices of the tiling. You might like to produce an elegant program to replicate one or all of these.
Problem
NRICH members have enquired about more ideas for particular tilings of the plane, namely those where - NOT all corners of the tile are vertices of the tiling.
Three such examples of this type of tiling are reproduced here.
Again, you might like to produce an elegant program to replicate one or all of these.
This develops some of the ideas in LOGO Challenge Triangles-squares-stars
Teachers' Resources
There are a number of approaches to these tilings but all require you to break the problem down and start by idenitfying units and then how the units fit together.
I often find it useful to see the lines of shapes rather than the groups.
The problem with lines is getting back to the right place to do thenext line. The problem with groupings is working out how these fit together if you wish to go beyond a very confined space.
Its up to you to investigate and the good thing is you will see when it is going well!!