Tuesday, August 15, 2006

This pattern alternates two different orientations of pentagons. The pointing up ones are blue and the pointing down ones are purple. Notice that all but one of the pentagons (the central pentagon) are connected to exactly three other pentagons. The pattern can be thought of as concentric rings of pentagons (that will approximate decagons). Another way to understand the pattern is by grouping rhombi (the white diamond slivers) in terms of orientation--there are five different orientations. The rhombi form ten wedges that meet at the central pentagon.

Monday, August 14, 2006

This pattern is somewhat like Friday's pattern in that it uses some sections of a big loop inverted to make a loop with a star shape. The pattern alternates heptagons and triangles with the exception of the orange hexagons in the middle (heptagons didn't fit). It also has a flavour of August first's pattern since it has the same type of rotational symmetry. I prefer the August first because it offers a lot of the same interesting lines yet with a simpler design.

Sunday, August 13, 2006

After a big battle with aesthetics, I finally settled on this pattern that makes a nice wall paper background (the image on the right). I'll highlight some of the battle. I originally started with a two colour pattern with just pink and purple. I thought it would have more impact than it did but I think with the regularity of the colouring that the pattern was dull. I added some colour it to make its bigger loops of twelve octagons and twelve triangles stand out. Even after I added orange to the mix it seemed too regular. The I introduced a twist to the pink loops of six octagons. To show you these transitions I'll added the pictures below. The key to recognizing the differences is to examine the negative space especially the asterisk like shapes. Notice there are two orientations in the pattern above as opposed to below where there is only one.


Saturday, August 12, 2006

I guess that I've been a bit obsessed with pentagons and triangles recently. This is mostly an alternating pattern but has a couple of hexagons and triangles. I guess I like this one because of the central curved pentagon. I wish I was able to find a better way to fill the inside of the outer loop...

Friday, August 11, 2006

Here's a little play with hexagons and pentagons. Basically, the outside loop comes from this big loop below. The rest is mere decoration. The pentagon in the middle was difficult to place(and may not be at the theoretical centre).

Thursday, August 10, 2006


This quickie pattern uses a simple section that combined with a bunch of mirrors creates a nice grid. Unlike the latest previous pentagon and triangle patterns, this does not have an alternating of the polygons. Below is a section that will produce this pattern as wallpaper.

Wednesday, August 09, 2006

Sunflower

This pattern of a sunflower was a bit tricky to construct. The outer orange section (the petals) was easy given the high level of repetition but filling the insides (the seeds) was not straight forward. The pattern is built with alternating pentagons and triangles. The five-fold symmetry is present throughout the pattern.

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