Celtic Knotwork - knotwork panel I.
Hi friends!
If we try to establish a mathematical connection, we can see that there is a common factor in the relationship between the number of horizontal and vertical boxes, this factor is 2.
Now, to draw the first Celtic knot panel, we'll make a 16 x 8 grid, as shown below.
Remember that to draw one knot we need a grid with 4 x 4 squares. In this case (16 x 8 grid), we have the equivalent of 8 knots.
First, we draw the patterns around the external boxes of the grid, in the same way that we have done in previous posts.
Then, we draw the interior lines as shown next, taking care to maintain the interlacing (one above, then below).
Once the sketch is finished, we proceed to draw, with a broader stroke, all the lines of the panel.
At this stage, we outline the strokes with black to reveal the interlacing.
We see that this panel, being made up of 16 x 8 squares, has common factors 2 and 4, so we should expect that the design will give us more than one endless loop.
Here, in the two next images, we have the loops, there are 4 independent loops, as you'll see if you follow the tour of them.
As you may have seen, this analysis once again reminds us of the close relationship between mathematics and art, and
although we do not have a mathematical formula to back us up, we could affirm that when there is a common factor for the number of horizontal and vertical boxes in the grid, we'll obtain separate loops that intertwine.
Later we will continue looking at other examples to check if this premise is met.
Thank you, friend!
I'm @steem.history, who is steem witness.
Thank you for witnessvoting for me.
please click it!
(Go to https://steemit.com/~witnesses and type fbslo at the bottom of the page)
The weight is reduced because of the lack of Voting Power. If you vote for me as a witness, you can get my little vote.