Sunday, January 8, 2017

Trifle - a new tangle!

I call this Trifle because it's a 'triangle fill' (tri-fill). At first I just thought of it as a way to fill a space with triangles, but then, what is a tangle if not a way to fill a space with lines and shapes?

Trifle can fit in any shape of space you have. I think the trickiest part is to get the triangles facing more or less the same direction throughout the space.

Looking at the space you want to fill, determine where you can place one very large triangle so each point touches a side. Draw it. Then, in the remaining spaces, again determine where you can place one very large triangle. They will be smaller than that first triangle. Simply continue like this until you have filled the space with ever smaller triangles. Fill the background black.

Easy peasy!

Here's Trifle with some other triangular tangles.
Tangles: Beadlines, Ing, Knase, Trifle, Tripoli
In the tile below, the two largest triangles of Trifle were too weak with only a thin line on the lower right sides, so I turned the lines into Rain, and added even a little more to the top one. I think this holds the pattern in better.
Tangles: Beadlines, Pearlz, Rain, Tipple, Trifle
I wanted to try Trifle on a 3Z tile, and chose one that wasn't already divided into triangles. The large white spaces in the corners looked too empty so I added a Fassett in each.
Tangles: Fassett, Trifle
Enjoy!

BTW: It's getting harder and harder to keep track of tangles and names. If this pattern has been presented elsewhere, or if the name has been used already, please let me know!

9 comments:

  1. wow
    it is simple
    it is funny
    it is great
    and totally flexible
    I love it!!!!

    ReplyDelete
  2. I like that the pattern doesn't need to be compensated to fill the area. Cool.

    ReplyDelete
  3. Great tangle. FYI, this is actually a mathematical concept called a fractal, specifically the Sierpinski triangle (https://en.wikipedia.org/wiki/Sierpinski_triangle for more info) Love when Maths and Art collide!

    ReplyDelete
  4. Terrific tangle! I can see lots of ways to use it.

    ReplyDelete
  5. Would this be a triangular Apollonian Gasket?

    ReplyDelete
    Replies
    1. The basic idea goes by quite a number of names apparently. As a tangle it's much less rigidly organized.

      Delete