Patch Quilt

This quilt has three sizes of squares: the small white square, the medium olive square, and the rest. The pattern can take a while to understand but the colours help. Since this quilt doesn't have a four-way rotational symmetry, the program written isn't as short as I would like. When I get a little more free time I'll experiment with some more unravelling of loops. This pattern like the last is from "Tilings and Patterns".

Tri-triangles

Three different triangles fitting nicely together. This one came directly out of the wonderful book Tilings and Patterns (p. 74). There are a few ones similar to this one as well that I may put up there. I'm more a fan of the patterns that come from polygon loops that are combined rather than ones like this. Still these ones are easily described since they have only one local neighbourhood. The PolygonR&D program has only one subprogram that describes the path from a purple triangle it's neighbour. The smallest triangles are not drawn since they are white.

tri {
  right
  scale 0.625
  left
  sides 3
  paint orange
  scale 1.6
  sides 3
  ifon none {
    paint purple
    3 { create tri
        left
    }
  } {}
}

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.