A New Checker Board

This one has a lot of patterns in it. At some vertices you can see three differently coloured teardrop shapes that form a propeller. In fact, each teardrop shape belongs to only one propeller. The pattern can be thought of as a particular colouring of a hexagonal grid where certain hexagons are broken into six triangles. Let me know if you want to see more patterns like this one.

Eggplant

Well this one is simply labeled eggplant because of the colours. The pattern demonstrates some local three-way rotational symmetry and some local three-way reflectional symmetry. The program that created it only has two sub-programs: one that describes the neighbourhood of nonagon with four triangles around it and another one that describes the neighbourhood of the nonagon with only three triangles around it. Those are the only local neighbourhoods in the pattern.

Non Play

I'm still playing with nonagons. I'd like to have PolygonR&D create a similar pattern to this one but I'd like it to be a be less regular. Right now when I extend, I end up with six wedges that look too regular and have too many three point stars. I'll keep up the non playing until I get a pattern that has pattern and not too many three point stars. I hope to make some non sense soon.

More Cats

Here is the promised dancing cats with colours that highlight the spiral nature. Close to the edge it becomes easier to see the straight edges which form an overall polygonal nature of the pattern. Unfortunately, I achieved this pattern by triplicating the original code that generated the pattern. On further reflection I may try to rewrite this another way so that this cutting and pasting isn't required...

Slippery Triangles

These triangles have slipped a bit. They used to be all lined up then they started to slip. Now they have these gaping hexagonal holes. This pattern is related to the pattern called Pythagorean Tiling where the same thing happened to squares. The big Squares slipped and made little square holes. I wonder why I ended up choosing the same colour. I get the feeling the more of these patterns I make I'll end up repeating some days and not even know it.

Dancing Fat Cats

Perhaps I should call this dancing cat slugs. I'd be happy to entertain some alternative names for this one. A close examination of this pattern may reveal a connection to the spiral with nonagons. Notice the same three interconnected spirals appear here--different colouring would help see the spirals but I think it would destroy any catness that the pattern has (slug or otherwise)...

Wings

Busy times call for quick and dirty variations. This one is entitled wings for the shape of the gaps on one side of the gray squares. It comes from a variation of a simple pentagon pattern. A zig-zag of squares is inserted into the simple pattern. Half of the squares are not visible but the ninety degree angles can be seen from in each wing. Perhaps I'll have to revisit the way program deals with colour so that I can have more choices....