TessDB

12-29-2006, 12:16 PM

Ok! Lookit! I'm actually ahead of schedule! Ready?

Let’s start with working running borders in a circle. I tend to think of it as bending them. And while it appears really complicated, I find it easier than working in a straight line in a lot of cases. Reason #1, no corners. Reason #2, it’s easy to sneak in an extra repeat or curve if you need it. And last but not least, reason #3: It creates a big visual impact with very little effort.

The books on knotwork spend a fair amount of time & effort discussing how the ancient scribes did it, using minimal tools and using lots of geometrical terms that send this math-challenged girl into a tizzy trying to make heads or tails of what they’re talking about. They also spend a lot of time having you draw in “guides” that aren’t needed in the long run. Now, while I fully support the idea of understanding *how* it was done in the past, I am also very very glad I’m not living then (I like electricity, indoor plumbing, and having a protractor!). That being said, there are a few geometrical terms/definitions you’ll need to keep in mind:

--Circles have 360 degrees.

--The diameter of a circle is the measurement from edge to edge.

--The radius of a circle is the measurement from the center point to the outside edge (it’s *half* of the diameter)

There are couple of things to remember when working with curves: #1: the arcs of the knots on the outside edge are going to be longer than those on the inside, so make sure you aren’t working so tight & small that the inside edge will become impossible. #2: Any breaks in the pattern will be very obvious, so take that into consideration when drafting your initial composition.

In the interest of not re-inventing the wheel, I’ll start with a simple running border you should feel comfortable with already: The braid. Here it is in a straight line:

http://www.wetcanvas.com/Community/images/29-Dec-2006/46497-BraidSt.jpg

We won’t worry about trying to make it all one band at this stage. And to make it easier, I’ll show you how to plot the circle to resemble the graph paper. We’ll need to draw 4 concentric circles, 1/4” apart. In order to stay small enough you won’t be overwhelmed & big enough you’ll still be able to see what you’re doing, we’ll make the outside circle 4” in diameter. Here’s the step by step:

I’ve divided my paper in half, & picked a spot to be the center of the circle. Measure 2” along the line (this is the radius) from the midpoint and make a tic mark. Now, make 3 more marks 1/4” apart moving back toward the center. Using your compass, set the point in the midpoint, and the pencil end at the outside mark. Draw your circle. Now, keeping the point at the midpoint, set the pencil end to the next mark, etc. Once you’ve drawn in these 4 circles, the largest will be 4” in diameter, then 3 1/2, 3, and lastly 2 1/2 .

http://www.wetcanvas.com/Community/images/29-Dec-2006/46497-Circ1.jpg

Next, take your protractor & line the 0 mark up with your center line and the center on your midpoint. Now make little tic marks every 10 degrees. At this size, 10 degrees is roughly the same size as the 1/4” grid of standard graph paper. I usually only make tic marks around 1 half of the paper & use the midpoint to line up the ruler. This way, if my tic marks are a little off, it’ll be consistently off and still pass through the midpoint (important when we get to the spirals). Use the ruler to draw in guidelines on both sides of the circle. I hope its looking a little familiar at this stage.

http://www.wetcanvas.com/Community/images/29-Dec-2006/46497-Circ2.jpg

Now, just like you did on graph paper for the running borders demo, start drawing in the “bones” of the braid.

http://www.wetcanvas.com/Community/images/29-Dec-2006/46497-CircBr1.jpg

Draw in your curves & start the weave pattern.

http://www.wetcanvas.com/Community/images/29-Dec-2006/46497-CircBr2.jpg

Erase the “bones” and clean-up.

http://www.wetcanvas.com/Community/images/29-Dec-2006/46497-CircBr3.jpg

Now, remember the rule about braids? It won’t be one band of interlace when they connect if the number of curves on the outside edge can be evenly divided by 3. Since we used 20 degree segments per curve on the outside (tic mark every 10, and having the curves use 2 spaces like we did on the graph paper), our 360 circle has given us 18 curves. Which is evenly divided by 3. So, to make this into 1 band, if we make tic marks at 9 degrees, instead of 10, we would have 20 curves along the outside. Which *can’t* be divided by 3.

http://www.wetcanvas.com/Community/images/29-Dec-2006/46497-CircBr4.jpg

With me so far? Ready to move on?

Let’s start with working running borders in a circle. I tend to think of it as bending them. And while it appears really complicated, I find it easier than working in a straight line in a lot of cases. Reason #1, no corners. Reason #2, it’s easy to sneak in an extra repeat or curve if you need it. And last but not least, reason #3: It creates a big visual impact with very little effort.

The books on knotwork spend a fair amount of time & effort discussing how the ancient scribes did it, using minimal tools and using lots of geometrical terms that send this math-challenged girl into a tizzy trying to make heads or tails of what they’re talking about. They also spend a lot of time having you draw in “guides” that aren’t needed in the long run. Now, while I fully support the idea of understanding *how* it was done in the past, I am also very very glad I’m not living then (I like electricity, indoor plumbing, and having a protractor!). That being said, there are a few geometrical terms/definitions you’ll need to keep in mind:

--Circles have 360 degrees.

--The diameter of a circle is the measurement from edge to edge.

--The radius of a circle is the measurement from the center point to the outside edge (it’s *half* of the diameter)

There are couple of things to remember when working with curves: #1: the arcs of the knots on the outside edge are going to be longer than those on the inside, so make sure you aren’t working so tight & small that the inside edge will become impossible. #2: Any breaks in the pattern will be very obvious, so take that into consideration when drafting your initial composition.

In the interest of not re-inventing the wheel, I’ll start with a simple running border you should feel comfortable with already: The braid. Here it is in a straight line:

http://www.wetcanvas.com/Community/images/29-Dec-2006/46497-BraidSt.jpg

We won’t worry about trying to make it all one band at this stage. And to make it easier, I’ll show you how to plot the circle to resemble the graph paper. We’ll need to draw 4 concentric circles, 1/4” apart. In order to stay small enough you won’t be overwhelmed & big enough you’ll still be able to see what you’re doing, we’ll make the outside circle 4” in diameter. Here’s the step by step:

I’ve divided my paper in half, & picked a spot to be the center of the circle. Measure 2” along the line (this is the radius) from the midpoint and make a tic mark. Now, make 3 more marks 1/4” apart moving back toward the center. Using your compass, set the point in the midpoint, and the pencil end at the outside mark. Draw your circle. Now, keeping the point at the midpoint, set the pencil end to the next mark, etc. Once you’ve drawn in these 4 circles, the largest will be 4” in diameter, then 3 1/2, 3, and lastly 2 1/2 .

http://www.wetcanvas.com/Community/images/29-Dec-2006/46497-Circ1.jpg

Next, take your protractor & line the 0 mark up with your center line and the center on your midpoint. Now make little tic marks every 10 degrees. At this size, 10 degrees is roughly the same size as the 1/4” grid of standard graph paper. I usually only make tic marks around 1 half of the paper & use the midpoint to line up the ruler. This way, if my tic marks are a little off, it’ll be consistently off and still pass through the midpoint (important when we get to the spirals). Use the ruler to draw in guidelines on both sides of the circle. I hope its looking a little familiar at this stage.

http://www.wetcanvas.com/Community/images/29-Dec-2006/46497-Circ2.jpg

Now, just like you did on graph paper for the running borders demo, start drawing in the “bones” of the braid.

http://www.wetcanvas.com/Community/images/29-Dec-2006/46497-CircBr1.jpg

Draw in your curves & start the weave pattern.

http://www.wetcanvas.com/Community/images/29-Dec-2006/46497-CircBr2.jpg

Erase the “bones” and clean-up.

http://www.wetcanvas.com/Community/images/29-Dec-2006/46497-CircBr3.jpg

Now, remember the rule about braids? It won’t be one band of interlace when they connect if the number of curves on the outside edge can be evenly divided by 3. Since we used 20 degree segments per curve on the outside (tic mark every 10, and having the curves use 2 spaces like we did on the graph paper), our 360 circle has given us 18 curves. Which is evenly divided by 3. So, to make this into 1 band, if we make tic marks at 9 degrees, instead of 10, we would have 20 curves along the outside. Which *can’t* be divided by 3.

http://www.wetcanvas.com/Community/images/29-Dec-2006/46497-CircBr4.jpg

With me so far? Ready to move on?