Notebook Entry - 060802

Finished Views


 
 

Source

None

Classification

S4 with obi

Size

24.5cm circumference

Materials

Wrap
navy blue cone thread
Marking
Renaissance Designs Sprinkles thread color Ultrashimmer 21
Design threads
Same as marking

Division/Marking

S4 with obi

Diagrams


 

Directions

  1. Wrap and mark an S4 with obi.
  2. Use the diagram to locate the triangles of the S4 with obi that get the triangle stitching.
  3. Stitch the recursive triangles in the appropriate places. Basically you are always dividing the triangle into 4 smaller triangles by connecting the halfway points on each side of the triangle. Then always leave the middle one blank as you stitch smaller and smaller triangles. This sample has 4 iterations if you count the original S4 triangles. The diagram uses different colors to help you see the pattern but the temari is stitched with all one thread.
  4. Embellish the negative space of the empty triangles with starbursts where there is room. You can skip this step if you want. Technically it is not part of Sierpinski's Gasket but I felt like this temari needed a little bit more to be finished.

Notes

Sierpinski's Gasket is one of my favorite mathematical pictures. Glenna sent me to a math picture site (see #23 in the General section) that reminded me of it. It is really generated by a random proccess and this triangle stitching approximates it. You can find out more and see a picture of the real one on James' site. I thought it would be a fun process to try on a temari. It turns out to be a really good way to practice eyeballing halfway points since it would be a huge pain to be measuring at every step. I would like to do another one with a more interesting wrap so I can leave off the negative space stitching. And I would like to use a bigger mari/finer thread so that I can get more iterations of the triangles.

Given To

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