This pattern is a fun pattern with pentagons. Each step away from the central pentagon the adjacent pentagons get smaller. Here is the code that describes this trait.go{
scale 0.5
right
scale .6180339887
right
scale 2
sides 5
ifon none {
paint purple
5 {
create go
right }
} { }
} To highlight the layers of pentagons I alternated the colours.
The pattern can be made with the following PolygonR&D program 
go{
scale 0.4
right
scale 2.5
right
sides 4
ifon none {
paint purple
4 {
create go
right }
} { }
}
This tiling often appears on many floors. It is made with two different sizes of square tiles. The sizes of tiles doesn't matter--they will always form a pattern without gaps. A related fact about this pattern is that it demonstrates a proof of the Pythagorean theorem. The combined area of a purple and a yellow square is the same area as one of the squares constructed by the grid to the left.
This week was a long one--you may have noticed the reduction in entries. Well I believe that this will be the new norm for a while. But not because of work but because I dislocated one of my fingers while playing basketball. Typing is slower but the real bottle neck is creating patterns which can take a while in front of the computer which probably is bad for my recovery.
Fifteen turns mostly--the five squares in the middle occur only every third arm. This one is just a big cut and paste job with a square add on the third paste. Then a bigger cut was pasted five times.
Well there's a lot of zeds here but there are also a bunch of ens (mirror images of the zeds). This uses the same strategy as the shurikens posts. Notice between each octagon there is a pentagon and triangle inserted. In fact, this pattern is also similar to Candies--the difference is that the local connections of the octagons. Here an octagon is connected to two pentagons that are on sides 90 degrees apart whereas in Candies they are 180 degrees apart. As well, this pattern has extra olive triangles for decoration.
I decided that it was probably useful to add a visual explanation of the three set of Shurikens below, which can be a bit disorienting because it feels like there should be more symmetry to it than it has. Here the set with only orange and green are highlighted. The other sets have purple and pink in their colours. One has orange in the middle (the boxy shurikens) and the other has pink in the middle, which is the mirror image to the highlighted one. Another thing that is clearly shown in the image is that I need a colour consultant.
This pattern is another variation on the triangular grid (black triangles). The difference is that the polygons inserted between the triangles have less symmetry than the previous ones. Notice that there are three types of holes where the original grids vertices were--hence "assorted". I'm calling the holes shurikens because to the rotational symmetry making them look a little like throwing stars. Two sets of shurikens are mirror images of each other and the third is the one with boxy ends. I like this pattern because of the not-quite-rightness of the repeating pattern. Perhaps I'll change the border of one of the "shurikens" to a different colour to emphasize the differences...
