The leaves pattern comes directly from the pattern found on Tuesday, August 15, 2006. Here the pentagons are spaced apart by squares. The programming on how and where to insert the squares (really where not to put them) is a little tricky but not overly so. The olive coloured square indicate a filling in square where as the green ones show the growth of the polygons from the centre.
This blog is devoted to patterns made with polygons. I'll try to have something interesting posted regularly.
Saturday, September 02, 2006
Leaves
The leaves pattern comes directly from the pattern found on Tuesday, August 15, 2006. Here the pentagons are spaced apart by squares. The programming on how and where to insert the squares (really where not to put them) is a little tricky but not overly so. The olive coloured square indicate a filling in square where as the green ones show the growth of the polygons from the centre.
Thursday, August 31, 2006
Spinner
Tuesday, August 29, 2006
Shells
Maybe tomorrow I'll spiral this one but today I'll stick with concentric rings. The shells made of pentagons are decorated with triangles. The program that made this is not too sophisticated I think that when I try to make a spiral design I'll have to do a little more tinkering.... You'll just have to wait and see.
Heptagon Mix

I was thinking about doing this pattern with heptagons. The problem is that in the old pattern three pentagons fit around a vertex with room to spare but three heptagons do not fit around a vertex. To make room, I inserted two squares and was off to the races. Also, I threw in some triangles to add some variation into the mix. Perhaps this would look a bit more interesting if I added some alternation of colours.... To make an better backdrop, after I cut out the rectangular part that will generate the pattern, I load it into gimp (a linux knockoff of photoshop) and fade the colours (using about a 0.4 alpha on a white background).
Monday, August 28, 2006
Jungle
I'm not sure why I'm calling this a jungle. This pattern is a variant of the one on Tuesday, August 15, 2006. The pattern comes from putting a zig-zag of triangles into every loop in the original. For instance, the original has loops or six pentagons that form a rhombus hole in the middle. Here the rhombus is transformed into curved triangles (the triangle in the middle is just for decoration). On close examination, There are still only two orientations of the pentagons--half the pentagons have a vertical side.Saturday, August 26, 2006
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).
Friday, August 25, 2006
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.
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