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.

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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!

 

 

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!

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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.

Further into the realm of Fantasy

Often, when I’m voyaging through the through the little fractal universes I have generated using the software which I am so thankful exists, I encounter ‘places’ that look like they belong in an illustration for a book I’ve read somewhere along the way. I also encounter characters that look like they belong in those places.  Such was the case for this piece:

The Mage Emerges Digital Art Printed on Metal, single edition 24x24" $425.00 Lianne Todd

The Mage Emerges
Digital Art Printed on Metal, single edition
24×24″
SOLD.  Private collection.
Artist Lianne Todd

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.

 

Open Studio/Gallery

On the third weekend in November, every year, we hold a studio tour in my town.  Otterville is a historic town located in Southwestern Ontario, Canada.  This will be our 18th annual studio tour – we call it Welcome Back to Otterville – and every year the stops on the tour change slightly as the artists in town do.  This year, there are eight stops on the tour, so it will be really easy to drive out, see all the stops, and return home if you live in, say, London, Kitchener/Waterloo, Stratford, or the western part of greater Toronto.  It takes me less than an hour to drive to London, and about two hours to downtown Toronto, exactly an hour to Stratford.  We aren’t on any major highway, but if you want directions please contact me and I’ll be happy to provide them.

If anyone reading this has been to my studio before, you will find this year quite different as I will be featuring my fractal work prominently.  In fact, in the next few weeks I’ll be taking down all the art in my gallery at the rear of my house, and completely rearranging the walls to maximize the display.  I always serve a lovely hot spiced cranberry punch during the tour, and I’m looking forward to the taste of it myself!

My gallery and studio are actually open all year to anyone who calls ahead or happens by on an afternoon when I’m home.  I’ve just put a new sign out front (the old one suffered from weather damage) so you can easily find my location which is right on the Main Street downtown, just a few houses away from the historic mill and waterfall.  Look for the yellow flags when you get here and use the map on the postcards (available at each stop) to help.

Here is some information for the tour, and a few photos.

If you find our Facebook page and “Like” us, or any of our posts, we would really appreciate the extra advertising and traffic that provides us – as you can imagine we are on a limited budget and every bit helps!

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A Game of Ball

I touched earlier on the aspect of self-similarity on smaller and smaller scales in fractals.  I find the ones that are exactly the same on smaller and smaller scales a bit boring – like the Koch snowflake or the Sierpinski arrowhead or the Menger sponge (though it has a nice surprise).  It’s the fractals that take on the slightly chaotic characteristics of nature that are the most interesting, and which stimulate the most thought about how this whole complex universe of ours developed.

The series I am presenting to you here does not really look like something you would find in nature, strictly speaking, (except for the parts that look like peacock feathers) but I thought it lent itself well to the illustration of self-similarity while emphasizing the variation.  And because it already included elements of a human game, why not present it as a game?

The series is called “The Ball Went Over the Fence”.

Up until this point, you have probably looked at the fractal images on this site and you’ve detected the self-similarity, but what you maybe haven’t seen is what happens when you travel into a fractal.  You can’t properly zoom in on a fractal without the equipment to do so – i.e., the software which allows you to make the fractal in the first place, or a video or .gif someone has prepared that takes you through it.  When I say travel into a fractal, I mean precisely that – it resembles exploring a new realm.  You enter the realm, you set your sights on a distant object, and when you get there, your surroundings have changed –  you know you’re in the same realm, because it all looks familiar, but that which was tiny is now large and detailed, and you can see off into a new distance.  You set your sights on that, and continue on your journey…. and you can keep doing this over and over again for a long time, depending on how many iterations of the formula you’ve rendered.

So I travelled into this fractal I created, and I stopped along the way and saved some images.  The game is for you to try to figure out where I zoomed in to get to the next image. Give it a shot.  In a couple of days, I’ll edit this post with the key at the end so you can have the answers.  Hint 1:  the orientation of the image doesn’t change.  Hint 2:  Some of these are a lot easier to find than others.  Also, the first two images will open larger if you click on them, but the rest are locked at their size.  (They are all scaled relative to their actual artwork size).  The key at the end will open larger so you can see more clearly.

All images are watermarked and copyrighted.

The Ball Went Over the Fence 1, Lianne Todd. Original Fractal Digital Art, single edition print on metal, 28x28" $525.00

The Ball Went Over the Fence 1, Lianne Todd. Original Fractal Digital Art, single edition print on metal, 28×28″ $550.00

 

The Ball Went Over the Fence 2, Lianne Todd. Original Fractal Digital Art, single edition print on metal, 20x20" $325.00

The Ball Went Over the Fence 2, Lianne Todd. Original Fractal Digital Art, single edition print on metal, 20×20″ $345.00

If you are having trouble with the first two, try looking at #2 and #3, this is the easiest solution of all of them.

The Ball Went Over the Fence 3, Lianne Todd. Original Fractal Digital Art, single edition print on metal, 16x16". $225.00

The Ball Went Over the Fence 3, Lianne Todd. Original Fractal Digital Art, single edition print on metal, 16×16″. SOLD.  Private Collection.

 

The Ball Went Over the Fence 4, Lianne Todd. Original fractal digital art, single edition print on metal. 12x12". $145.00

The Ball Went Over the Fence 4, Lianne Todd. Original fractal digital art, single edition print on metal. 12×12″. SOLD.  Private Collection.

 

The Ball Went Over the Fence 5, Lianne Todd. Original Fractal Digital Art, single edition print on metal, 8x8". $110.00

The Ball Went Over the Fence 5, Lianne Todd. Original Fractal Digital Art, single edition print on metal, 8×8″. SOLD.  Private Collection.

And now, as promised, the key to where the zooms took place – a map through the series:

Zoom Key, The Ball Went Over the Fence series

Zoom Key, The Ball Went Over the Fence series