Birds

Perhaps I'm being a bit optimistic that people can see birds. The gaps that are not rhombic (like a diamond) remind me of birds. In the pattern, I see these birds circling around in big spirals. The program that generates this is a very short recursive program. The pentagons alternate between gray and orange. I was a bit surprised at first that there was only alternating colours in the pattern. Even though I programmed the colours to alternate, I am really only programming the polygons to fan in a tree-like fashion. There could be many incidental connections that occur. But on further inspection, all the loops have an even number of polygons so it would be impossible to have two of the same colour. In fact, since each colour represents a particular orientation two pentagon of the same colour can't share just one edge (they would have to share all five or none).

Clover?

I'm calling this pattern clover because of the negative space. Looking at the polygons though, it reminds of some sort of the three legged wheel that I saw in a weird movie... This pattern was developed using a zigzag technique similar to yesterday. The three squares zig one way then the other as they go from hexagon to hexagon.

Zigzag Grid

This one is not too inspired but...deal with it. It follows a similar construction to this one except the zigzagging here is with heptagons and the grid uses hexagons in the same layout as the the triangular grid (each hexagon only has edge connections with three hexagons rather than six). This is also similar to this construction. Perhaps the decorative red triangles should be a different colour....

bunny

I'm bringing it down a notch. Here's a simple bunny. The only tricky thing with this pattern is that there are unseen polygons (a hexagon and two squares) used to place the eyes, nose, and mouth. See if you can make a better bunny.

Embellishing Octagons

This pattern started out as a loop of octagons that was turned inside out with two loops of two hexagons, four squares (green), and two triangles. This inside-out loop served as my main loop which is the one that doesn't have the pentagons in the middle of it. After, I fit these loops together let a checker board. I filled other loops that were constructed with some yellow squares, triangles, and some pentagons.

The images below can be used as wallpaper. There are links to images that are 323x323 pixels. Perhaps they would look better smaller...

Just a simple pattern for a Monday morning. This pattern began as a triangular grid and then two pentagons were inserted between each pair of triangles. Finally, the newly created loops were decorated with some more triangles making the boxy looking stars in the middles of the loops.

Here's a polygon pattern that relies on a simple recursive call. Each heptagon attaches to two scaled down heptagons and each of those heptagons attaches to two more etc. This recursive definition is easy to do in PolygonR&D. The tightness of the spiral is determined by the main shrinking factor--the difference in size of the heptagon to the next biggest heptagon.