This pattern is a variation of "Not the Zipper". The main difference is that the pentagons have sides half the length of the triangles. They share only one vertex now. The negative space of a single loop reminds me of a windmill--hence the title. 
This pattern is the same as the purple and blue pattern from August the 15th. The twist is that the edges don't line up. The holes that used to rhombic holes now look like odd candle sticks. The program is almost identical to the Pythagorean tiling except the "sides 4" is replaced with a "sides 5"(as well the loop must go fives times rather than four).
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.
