Thursday, October 14, 2021

Mathematical (Curve) Stitching Lesson 2

 

Using Parabolas with Circles

Lesson 2 Presentation Video

Parabolas can be used with divided circles to create interesting designs as well.

These can later be combined with the use of chords to create more complex designs.

The full protractor template that was given with the first handout will be useful here.  So will the site where you can create your own circles.

Creating Circle Templates by Hand (video)

Circle Divider Program (video)                        How to Use (video)



 

These patterns can be used with the stitching pattern for parabolas to create interesting designs.  Experiment with using the curved areas as well. 

Try stitching parabolas in the following areas of the circle. 



 





Make sure you have the same number of holes across the top of the segment (arc) as you do down the side (radius).


Polygons

Interesting designs can be created with other polygons.  Mary Everest Boole. Introduced her students to the equilateral triangle (all sides the same length and all angles the same  60 ̊), the pentagon, hexagon, octagon and more.

Just as with the circle, the polygons can be divided into sections and parabolas can be sewn in the outer angles, the inner angles and combinations of the two.    

A hexagon can become a cube with the addition of some interior lines and if the parabolas are stitched in two colours to help show dimension.









Try dividing the triangle from the angle vertices to the center point,  Divide the lines you’ve created into equal sections ( adding up to the same number as along the side of the triangle) and use those new lines to create parabola like stitching.

Note:  my diagrams may not always have the correct number of dots (I have trouble drawing diagonal dotted lines and getting the number of dots that I want in this drawing program – so it’s do as I say and not as I do in those cases – making templates by hand is much easier)


What other designs can you create?




 







Apply the same idea to an octagon or hexagon.
















What do I do with my stitched pieces now?

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