This first exercise did not have any construction lines associated with it, as can be seen here.It was carried out to explore the relationship between stars based on ten-point geometry and there must have been construction lines before this was drawn, perhaps just pencilled in as these were all drawn manually rather than with a computer.I have a vague memory that the origin of the pattern was on an Egyptian patterned door, but it is a fairly common pattern and might have come from a number of sources.This next exercise was carried out in order to explore the construction of a pattern I had noticed as having been drawn with a single, continuous line.The studies which follow are all based on patterns I saw and explored, and I thought it might be useful to place them here for the record.
It’s a clever construction but one that would have been easy to set out.
I have added a drop shadow to improve the illusion of depth though this would not, of course, be found on a modelled example.
Regrettably the sketch is not as symmetrical as it should be, but it does give an indication of how a basic framework may be readily developed into a solid design with the suggestion of a more complex character in its arrangement.
These studies began a long time ago and derived from an interest I have always had in mathematics in general, and geometry in particular.
Recently I came across a couple of studies that were among the first I carried out; some others have been lost and some are in private ownership.