Candies

Somehow, this pattern reminds me of candies twisted in colourful wrappers. I know that I could have coloured this one better but....I was more interested in the pattern. The loops, here, have a double zig-zag pattern. The octagons are separated by pentagons and triangles in a couple of ways: pentagon with a triangle to the left (pink and red) or a pentagon with a triangle to the right (orange and purple).
As well, each octagon has two pentagons and two triangles that connect to it. I will experiment some more with this double zig-zag idea.

no gaps

This pattern has no gaps--most of the patterns that I have been looking at have gaps between the regular polygons. There are a number of different types of vertices in this pattern. Can you classify all the types of vertex meetings?

Cut and Paste

This is a TileLand design that has ten copies of a path. The path goes from one red square to the next which is a big arc. The arc has one missing pentagon between the purple square and the pink pentagon which allows for the arcs to not overlap. Below, I highlighted one of the ten arcs to make it easy to see. I probably could have coloured this one a bit better....

Sun Spot

Just for a change up, I'm back to TileLand. This pattern came about by trying to fill in the middle of the loop made by the octagons and triangles. Normally, I prefer to have only edge connected polygons but to fill in the middle required a some fiddling. If eight more octagons fit on the inside, I would have liked it more. But I settled for the hexagons--I was a bit surprised they fit so nicely.

Compass Roses

Well, I guess that this is not really compass roses since I would need eight points rather than these that only have four. Compasses was the first thing that came to mind. As with most patterns I make, the original program is not as efficient as the one I create after giving it a bit of time. Here is the program that I came up with after a bit of thought.

rose {
  sides 4
  right
  sides 6
  2 right
  3 sides 3
  sides 3
  ifon none {
      paint red
      create rose
      left
      sides 3
      paint purple
      left
      create rose
   } {
   }
}

Pants on Fire

I like the local pattern but globally this pattern doesn't work out. It can make a nice grid but not a pattern that has radial symmetry. The wedges implied here have angles that doesn't divide 360 so they do not fit together. The program to generate this image is shorter than one that would create the grid and I'm lazy today...

start {
  scale 0.4
  create pent
}
pent {
  sides 3
  paint pink
sides 5
  ifon none  {
 paint  purple
      create pent
      3 right
      create delay
  }  {
  }
}
delay {
    create pent
}

Spinner Revisited

Here's conceptual way to make spinner from Thursday. Start with this pentagon pattern below. This can be generated by the following polygonR&D code.

start {
  scale 0.4
  create pent
}
pent {
  sides 5
  ifon none {
   paint green
   sides 5
   paint olive
   create pent
   3 right
   create delay
 } { }
}
delay {
  create pent
}

The delay subprogram allows the pattern to development more symmetrically; without it, there would be a radial seam that would break the symmetry (C₅). To add spice to the pattern alternating triangles can be inserted (the zig-zag construction described in Zigzag Grid). To do this, the pent subprogram must be revised like so...

pent {
  sides 3
  ifon none{
    paint olive
  } { }
  sides 5
  ifon none {
    paint green
    sides 3
    left
    paint green
    sides 5
    paint olive
    create pent
    3 right
    create delay
  } { }
}

Finally, some extra triangles are added for decorations to get the original spinner pattern. The colouring of this pattern highlights the triangle- pentagon- triangle groups. It is interesting to see how the colouring has such a dramatic effect for each pattern. A seemingly simple change of switching the green and olive completely ruins the aesthetics of this pattern. The five pointed stars completely dominate instead of being a balanced part of the pattern.