The Four Corners of the Circle

I've been away for the weekend with my eldest. Went down to Canberra to see friends and family and the Treasures of Versailles Exhibition. We had a great time, but I was quite tired when we got home. Four hours plus of driving, with two near misses due to idiot drivers who weren't paying attention and clearly weren't expecting for someone to be doing to the speed limit. Still, home safe and sound, so yay for us.

Regardless of the tiredness, I couldn't help looking at the Diva Challenge last night. I figured it would be up, even though I hadn't got my email alert yet (time zones - one of the perils of living on a sort of spheroid planet). And when I saw it, oh, I was so excited. I nearly grabbed my pens and paper there and then. But instead I went to bed. And slept like a log. And spent all this morning running around doing the things that needed doing and itching to get drawing.

Laura has set a challenge that is right up my alley - a string with circles and squares.

See, here's the thing. I love sacred geometry. And the thing about sacred geometry, or classical geometry if you prefer, is that circles and squares are really important. And the presence of one implies the presence of the other.

I was reading recently "The Science of Discworld IV: Judgement Day" by Terry Pratchett, Ian Stewart and Jack Cohen¹. On p.52, writing about varying cosmologies, Stewart and Cohen point out that to "many [ancient central American] cultures the world was both square and round". Which when you think about it makes perfect sense. The Four Corners of the Earth, anyone? A circle is the basis from which a square is constructed and they share the same centre point (which is often considered the fifth point of the square). Prior to the invention of the set square the only way to reliably draw a square, with accurate right-angled corners, was to start with a circle. Frankly, it's still the best way to do it, as far as I am concerned. And you can do it with just a compass and straight edge. No fussing around.

A circle can easily lead to a square. A square has to have come from a circle. No wonder I couldn't wait to get started. Although of course, life gets in the way. So here I am at nearly three in the afternoon and I have only now found time to put pen to paper.

Diva Challenge #311, CircleSquare, Bunzo, Cyme, Knightsbridge, Marasu, Printemps, Wasser and a spiral
Megan Hitchens, black ink, brown ink, white ink, graphite, white chalk on tan paper. 2017

It's a little wonky as I did it free hand, but using a mandala tile really helped. I think the Knightbridge was a mistake, or needs something else happening in it. And I should have gone much more carefully with the spiral, but otherwise... well... it will do.

For squares and circles I much prefer this, which I did with a compass and straight edge, but it's not the formal challenge piece as it was done for INKtober last year.

Playing, Paradox, Knightsbridge, Hollibaugh, Meer, Tipple, other patterns that I should go look up their names
Megan Hitchens, blank ink on white paper, 2016

You can really see the difference a straight edge makes. Oh well.

Squares within circles, circles within squares, turtles all the way down.

No archived Diva Challenge today as I still have stacks to do.

1. Pratchett Terry, Cohen Jack, Stewart Ian, The Scicnce of the Discworld IV: Judgement Day, Ebury Publishing, 2014