Following the Patterns of Nature

It is an absolutely beautiful day today in Otterville, full of colour and the patterns of nature, so I plan to spend some time outside.  It was during another beautiful day a few years back, hiking in the woods at Awenda Provincial Park, that I came across many kinds of fungus.  I took a number of photos, and an edited version of one of them ended up as part of this image I am presenting to you today.

On another completely separate occasion, I was creating fractal images and found that, as is often the case, there were distinctly natural and vegetative features recognizable in one.  I saved it, and later on when looking through all of my photos, I noticed how well the features in it mimicked and extrapolated the patterns of growth I had noticed in the fungal photo.  I had even just happened, by whim, to have edited the photo so that its colours matched the ones I had, by chance, used in the fractal creation.

What you see below is a digital collage of the natural and the generated fractal patterns, printed on metal.  Once again nature shows how it is a manifestation of the fractal patterns of the universe.

Following the Patterns. Digital Fractal Art printed on metal, single edition. 16x16". Lianne Todd. $225.00.

Following the Patterns. Digital Fractal Art printed on metal, single edition. 16×16″. Artist Lianne Todd.  SOLD.  Private Collection.

Fractal Machinery

I just wanted to say thank you to all the studio tourists who took their precious weekend time to drive out my way and visit my studio.  It was a pleasure to meet you or see you again, and I had fun giving brief explanations of fractals and their significance when you showed an interest.  If you want to see some more of them in person, right now there are four on display at the restaurant Sixthirtynine in Woodstock, ON.  A very fine restaurant suitable for a special dinner date!

On the tour weekend I presented a few new fractals.  This is one of them (watermarked):

Pretty Cogs in the Big Machine. Fractal Digital Art printed on metal, single edition. 24x24". $425.00 Lianne Todd

Pretty Cogs in the Big Machine.
Fractal Digital Art printed on metal, single edition. 24×24″.
$450.00 © Lianne Todd

This one doesn’t really reflect the natural world so much as it reflects our complicated man-made world.  It’s not likely that most cogs in our machines are this pretty, but there is definitely a complexity in our modern technology that has beauty.  Some of that complexity, for instance, is contained in the very machine you are viewing this on.  Maybe there are no cogs, but the minutiae of its workings have to rival the intricacy they feature.  The background of this piece could also be compared to the circuitry involved in some of our other more powerful pieces of technology.  For instance, if you have a smart phone, the antenna that makes it all work had to be a fractal, or we simply wouldn’t have smart phones.

For a while I was referring to this image to myself as the steampunk fractal, as I have recently become enamored with all things steampunk.  However, giving it such a title didn’t seem to really fit.  These are far from steampunk-type gears, they aren’t real, and the machinery is not reminiscent of anything very old-fashioned.  This is just a nod to the genre!

 

 

Chaos

Quote

In the mind’s eye, a fractal is a way of seeing infinity. – James Gleick

I just finished reading a really good book called “Chaos – Making a New Science” by James Gleick.  It was recommended to me by the London Free Press photographer who took photos at my The Fractal Nature of Our Universe exhibit last summer.  (Don’t forget the reprisal of that show, A Fractal Universe, is currently at the Station Arts Centre in Tillsonburg until April 7!)

It was a really interesting read, full of insight into the difficulties scientists and mathematicians have had in the past, with certain problems they encountered.  Most of them involved non-linear dynamical systems – the kind you often find in nature.  They were so troublesome that these problems would be put aside, ignored, deemed unsolvable.  So many different kinds of scientists and mathematicians in the late 1960s and 1970s were separately converging on the same theories to solve these problems at the same time, while the tools (computers) to more freely explore these theories were also developing, one can truly say it was a science whose time had come.  That didn’t mean that it didn’t meet with resistance!  Sometimes even those who were essentially promoting the same ideas refused to acknowledge each other.

Fractals are a large part of Chaos Theory.

Wherever chaos led, Mandelbrot had some basis to claim that he had been there first. – James Gleick

However, there was much to discover even after Mandelbrot had provided this language for describing nature.  Scientists wanted to know the “why” – and they still do.  I am not sure how many scientists today are attempting to use chaos theory and the language of fractals to interpret systems from the smallest to the largest of scales.  Certainly many ecologists, medical researchers, economists, meteorologists, and some astronomers are.  But there is still some resistance.

Will those who are looking to complete a Grand Unified Theory give full consideration to Chaos Theory and Fractal Geometry?  I hope so.  Time will tell, and these are exciting times indeed.

 

 

Pics of the current show

The Station Arts Centre has turned out to be a great location for my original series of fractal art.  Their new lighting system really shows off the metal prints well, and the one wall was the perfect length to show off the larger paintings all together.  Much better than crowding them into my home gallery, that’s for sure!

Here I am with a few of the pieces, on the night of the opening:

Lianne+Metal PrintsLianne+PaintingsAlso, the Station Arts Centre took a few photos on the night of the opening and posted them on their Facebook page.  You can view them here.

The show runs until April 7.

 

Show Reprisal!!

I haven’t written in a little while but I now have some great news for followers in the area who haven’t had a chance to see my fractals in person yet.  I am showing those that are left (31 pieces) at the Station Arts Centre in Tillsonburg for the month of March.  The show opens March 6 (this Friday) at 7-9 pm.  It runs until April 7.  The show is called, this time, A Fractal Universe.  Come land in it!

AFractalUniversegraphicwb

Patterns of humanity

I have mentioned a few times in previous posts about fractal images often being archetypal.  I’m not really sure I was correct in describing them that way, but what I will say is that they often look familiar in a way that transcends their immediate translation into a real object.  For instance, when I first looked at this fractal image, I immediately thought of the Aztecs and the patterns they incorporated into their art forms.  Having now looked at some Aztec art in more depth, I’m not even sure why I thought of them, other than the  feather motif and the colours.  That’s just what immediately came to mind.  And I have other fractal images created (not shown here) which really speak to me of Native American blanket patterns.  Others might look at this piece and be more immediately aware of the hourglass shape.  Maybe you will look at it and see something else entirely.

My point is, from near the beginning of humanity, we have been making patterns, whether or not they were drawn with a stick in the sand, sculpted along the edge of a stone building’s rooftop, painted on a cathedral ceiling, or digitally on a tablet.  Possibly for 60,000 years, we have been making patterns!  And if you look at all the patterns we have been making, you may notice that many of them are self-similar on smaller and smaller scales.  We were making fractals and we didn’t have a name for what was common to them all.  And we didn’t have a concept of the way fractals were involved in the geometry of nature – not consciously, anyway.  Maybe we were consciously inspired by nature, but didn’t recognize that specific aspect of it.  Only for the last 30-40 years have we, thanks to Mandelbrot, come to an awareness of this common denominator.  I like the way fractals connect all of humanity over time, and the way they connect us to nature.   I’m really looking forward to exploring this with future pieces!

Aztec Gold. Watercolour on Gessoed Paper. 20x20". $625.00. Lianne Todd

Aztec Gold.
Watercolour on Gessoed Paper.
20×20″.
$650.00.
Artist Lianne Todd

Physical Phenomena

If I am postulating that the universe is fractal in nature, it makes sense that structures formed by molecules behaving in their natural way should be recognizable as fractals.  Such is the case with frost, turbulence, and bubbles.  Just do a little Google search with each of those terms alongside fractal, and you’ll see what I mean.  Mandelbrot made groundbreaking progress modelling turbulence, which had confounded mathematicians before him, using fractal geometry.

It also makes sense that in my random wanderings through the fractal universes I create, I encounter images that remind me of these phenomena.  Such is the case with these two fractals which I chose to paint.  I especially like the way the bubbles in Turbulence & Bubbles look like they are in the process of being blown, sometimes from multiple locations, and melding together when they meet, just like real bubbles would.

Hot Frost. Watercolour on Aquabord. 6x6". $175.00 Lianne Todd

Hot Frost.
Watercolour on Aquabord.
6×6″.
$175.00
Lianne Todd

Turbulence & Bubbles. Watercolour on Gessoed Paper. 20x20". $625.00. Lianne Todd

Turbulence & Bubbles.
Watercolour on Gessoed Paper.
20×20″.
$650.00.
Lianne Todd

Imagining the Cosmos

As you may know, if you have been reading all of my blog posts, I like to dabble a little in cosmology.  Not that I really know anything about it, but it fascinates me, and I like the kind of abstract thought it stimulates.  I was given a Great Course one Christmas on Dark Matter, Dark Energy, The Dark Side of the Universe, which I’ve enjoyed a great deal.  Dr. Sean Carroll is great at explaining cosmology in a way that I, at least, can understand.  I also read Brian Greene’s The Hidden Reality, a fascinating book.  I subscribe to many Facebook Pages which post news about the latest pieces of knowledge in this field.  The abstract thought appeals to me, and I think I’m pretty good at it, but my math and physics skills are limited to helping out my children when they were doing grade twelve homework.  Which may be nothing to sneeze at, but is less than what is required for particle physics.

One of the things that really strikes me, is that the visual components, be they illustrations or actual data translated into an image, of almost every piece of news in cosmology, are recognizable to me as being fractal in nature.  Perhaps it is because I’ve spent so much time looking at fractals, zooming in, and examining them from every angle, that I notice this.  I am always mystified when no mention of fractals is made, in these cases.  I’ve written a  whole post (and another) about fractal dimensions before, so I won’t go into that here, but that’s another part of the puzzle I like to think about.

I know these two fractals don’t really illustrate anything in particular, but they make me think along the lines of particle physics, and stardust, and the early universe.

"Stardance". Watercolour on gessoed paper. 20x20". $625.00 Lianne Todd

“Stardance”. Watercolour on gessoed paper. 20×20″.
$650.00
Lianne Todd

"Particles and Fields". Fractal Digital Art on Metal, single edition print. 20x20". $325.00 Lianne Todd

“Particles and Fields”.
Fractal Digital Art on Metal, single edition print. 20×20″.
$345.00
Lianne Todd

This past summer, during my exhibit, I was told about a person in the same city (London, Ontario) who, it seemed, had a lot of the same thoughts I was having about the fractal nature of the universe.  She is a software engineer and has been studying fractals for much longer than I have!  Needless to say, her math skills are much better than mine.  I was fortunate to meet her (her name is Lori Gardi) this fall.  She has two websites, the first of which I’m going to direct you to Here, in which she has laid out some of her thoughts in a pretty clear way.  I’ll link you to the more recent one later… I think it’s a good idea to start at the beginning of her thought process. We (artists, software engineers, mathematicians, physicists, philosophers) may not all have the same thought processes or reach the same conclusions in our explorations of fractals and their role in the universe, but all avenues should be explored as long as they can exist within the rules that have been truly established by scientists and mathematicians in the past.  I am, unfortunately, not capable of judging whether anything follows those rules, but others who can, need to at least look at this work with an open mind and decide for themselves. ESPECIALLY if it may help solve any of the mysteries still out there.

The Landing

Congratulations to the European Space Agency, and to all of humanity, for boldly going where no one has gone before… for landing the human-built robot Philae on a comet!!
This is truly a historic moment and an example of how our imaginations can lead us to realities our ancestors may have considered impossibilities.  It will lead to a greater understanding of our solar system and of the universe.

In honour of this event, I’m posting my piece called The Landing.  I can’t think of a better day to do it!  It’s purely imaginary, constructed of three different fractals, and belongs in the realm of fantasy or science fiction.  But then, not so long ago, so did landing on a comet…

The Landing Digital Art printed on metal, single edition 20x20" Lianne Todd $325.00

The Landing
Digital Art printed on metal, single edition
20×20″
Artist Lianne Todd
SOLD.  Private Collection.

 

The Experiment

This series of four paintings was an experiment.  Not a very scientific one but I did try to control variables and make predictions.  My hypothesis was that since all pigments are different in their molecule size, shape, and hydrophilic and hydrophobic qualities, they would all move differently through the medium of water, and as they interacted with each other, and that their movement would be fractal.  In other words, I expected them to appear, at the end, as if they were something like a cloud, or some other natural item that is already known to be able to be modelled using fractal geometry.  A coastline, for instance.

All four pieces were executed and controlled in the same way (I won’t give away all my secrets!), the only differences being the pigments I used and the order they were used in.  I tried to reduce the effects of gravity by levelling my table but it is kind of obvious there was a tiny bit of gravitational effect.  I changed the orientation of the final products so that when they were hung together, it would be aesthetically pleasing.  Other than that, the results you see here are basically the raw data.

I called them Negative Nebulae, because I looked at all the white space around them and imagined if it was black, and the colours were reversed, they would look a bit like those photos you see from NASA of distant nebulae.  In other words, these would be like the negatives of those photos.

Here they are – what do you think?:

Nebula Negative I Watercolour on Yupo 10x10" Lianne Todd

Nebula Negative I
Watercolour on Yupo
10×10″ (sold)
Lianne Todd

Nebula Negative II Watercolour on Yupo 10x10" Lianne Todd

Nebula Negative II
Watercolour on Yupo
10×10″ $125.00
Lianne Todd

Negative Nebula III Watercolour on Yupo 10x10" Lianne Todd

Negative Nebula III
Watercolour on Yupo
10×10″ (sold)
Lianne Todd

Negative Nebula IV Watercolour on Yupo 10x10" Lianne Todd

Negative Nebula IV
Watercolour on Yupo
10×10″ (sold)
Lianne Todd

Here is what they looked like at the exhibit:

KONICA MINOLTA DIGITAL CAMERA

 

 

Curious to know what they do really look like when you invert the colours?

Non Negative Nebula I (the inversion) Lianne Todd

Non Negative Nebula I
(the inversion)
Lianne Todd

Non Negative Nebula II (the Inversion) Lianne Todd

Non Negative Nebula II
(the Inversion)
Lianne Todd

Non Negative Nebula III (the inversion) Lianne Todd

Non Negative Nebula III
(the inversion)
Lianne Todd

Non Negative Nebula IV (the inversion) Lianne Todd

Non Negative Nebula IV
(the inversion)
Lianne Todd