A solemn Good Friday.
Today a simple hashtag#FractalFriday - almost could have been drawn by hand.
I hope it's a great day for all of you.
Oh, the webs we spin...
This one is for hashtag#FractalFriday.
May it be a good day for all of you!
In honor of Pi Day (3/14), I thought I'd start this #FractalFriday with the shape of the Greek letter ฯ.
It turned out very Lenten, maybe not surprisingly, ฯ is a transcendental number after all. And, like fractals, we encounter it all over the place.
Happy Pi day!
One last colorful #FractalFriday before the somber season of Lent starts.
Happy new year and happy #FractalFriday!
Merry Christmastide!
The last #FractalFriday in Advent! May it be a happy one!
What do you get when put a Koch snowflake in a washing machine? #FractalFriday
PS This one is also available in Dark Mode.
Every star an infinity unto itself.
Happy #FractalFriday!
Happy #FractalFriday!
Happy #FractalFriday! This one might have been influenced by all the Halloween decorations I've seen this week.
Quite timely, a #FractalFriday with Oktoberfest vibes.
What's at the center of your #FractalFriday today? May it be a good one!
This #FractalFriday feels full of kinetic energy. May it be a great one for all of you!
Happy #FractalFriday as we're heading towards fall!
Have a beautiful #FractalFriday!
#FractalFriday spreading its wings. Have a great one and a wonderful weekend!
This FractalFriday to the tune of "Money for Nothing" by Dire Straits.
(I want my MTV.)
Alles Gueti zum Geburtstag, liebi Schwyz! Happy birthday, Switzerland!
#FractalFriday #Switzerland #FirstOfAugust #733Years
There are no straight lines in this #FractalFriday, only circles.
#FractalFriday is always a result of experimenting, not knowing what to expect and allowing for serendipity. So it's appropriate that today's turned out to be a fractal Petri dish and a little homage to Morton A. Meyers who advocated for this approach in his book "Happy Accidents" (about some of the most important discoveries in medicine).
The Magic Roundabout (Swindon, England): circles within circle
This #FractalFriday presents the Infinite Roundabout: circles within circles within circles...
This #FractalFriday also comes in Dark Mode.
A #FractalFriday for cat lovers.
Me: I am just going to leave this perfectly intact ball of yarn right here.
Cat:
We've gone from pixel art #FractalFriday towards abstract art.
Have a concretely great Friday and Pentecost weekend!
Continuing last week's "pixel art" fractal theme, this #FractalFriday, a pinwheel to celebrate the colorful and windy spring that has arrived here.
This week's fractal aspires to be pixel art!
It makes me a bit nostalgic for the early days of video games when they could not wow us with graphics but pulled us in with fun, clever, well thought-out play.
May you think of fond memories on this #FractalFriday!
May your #FractalFriday be full of potential!
If you gaze into a fractal, you have nothing to worry about it. Unlike Nietzsche's abyss.
Happy #FractalFriday and a great weekend!
This may be my favorite #FractalFriday.
The stone has been rolled away.
The tomb is empty.
It is Eastertide! Alleluia!
A joyful season to you all!
This #FractalFriday, the evolution of a fractal arranged as a clock.
Have a wonderful Easter weekend!
Life imitates fractal art.
I created the image for this #FractalFriday shortly before seeing that sky.
This fractal was surprisingly tricky. It exists between chaos and order[1]. Any tiny disturbance (changing one parameter slightly, choosing a different zoom, even a lossy compression when saving the picture) removes all its beautiful complexity. It either descends into a messy chaos or becomes boring orderly graph paper.
I hope you have a disturbance-free hashtag#FractalFriday!
[1] in the critical state, which is beautifully described by the Danish physicist Per Bak in "How Nature Works".
Next time you doodle idly, take a look from afar. Does a more profound order reveal itself?
This fractal was surprisingly tricky. It exists between chaos and order[1]. Any tiny disturbance (changing one parameter slightly, choosing a different zoom, even a lossy compression when saving the picture) removes all its beautiful complexity. It either descends into a messy chaos or becomes boring orderly graph paper.
I hope you have a disturbance-free hashtag#FractalFriday!
[1] in the critical state, which is beautifully described by the Danish physicist Per Bak in "How Nature Works".
A more somber #FractalFriday (though the first one with music) as Western Christians begin Lent.
May it be a time for everyone - regardless of belief - to find and focus on what is truly essential.
These days, we experience the crescendo of the colorful "fifth season" of Fasnacht (carnival) around here.
Happy Fasnachts-#FractalFriday and a joyful celebration!
Does anyone else get a futuristic heraldry vibe from this #FractalFriday?
In my time at Iowa State, I came across a paper with the awesome title "Controlled Explosion in Hyperspace". I did not expect it to be about trading algorithms. On this #FractalFriday, see what I imagined instead.
Today, let's look at the evolution of a fractal.
May your #FractalFriday evolve into a beautiful weekend!
It's an early, foggy winter morning here this #FractalFriday. But the light is starting to shine through!
Happy New Year! May you always keep sight of your guiding stars in 2024!
Happy #FractalFriday and a wonderful Epiphany weekend!
The final #FractalFriday of 2023. May your new year grow into something beautiful, expressing its essence in many different ways!
Happy new year and all the best for 2024!
'tis the season for poinsettias and stars.
Merry #FractalFriday!
#FractalFriday can be full of surprises. Today's is a screenshot of the fractal I was working on this week, taken accidentally while rotating the phone. A perfect demonstration of self-similarity at different angles and zoom levels!
May your Friday and weekend hold pleasant surprises as well!
This #FractalFriday, look for the patterns inside the patterns.
Have a great one and a wonderful weekend!
#FractalFriday just got real!
Have a great one and a really nice weekend!
This #FractalFriday has been inspired by a very resilient spider living outside my window.
May it be a happy one! (The Friday. And the spider.)
Turning and turning in the widening gyre...
fractals do not fall apart; their center does hold.
Such is the resilience of fractal constructions.
It's probably why we see so much of it in nature.
A happy and resilient #FractalFriday!
PS Compliments to WB Yeats for the inspiration.
When two levels of detail collide, it can be hard to see that they came from the some underlying logic, that they share a fundamental order.
A happy and collision-free #FractalFriday!
Minnesota is looking for a new state flag. Here my submission.
It represents L'รtoile du Nord and, at the same time, hints at beautiful complexity and self-similarity found all over the state, in nature and people. (And its use of fractals would introduce esp. young Minnesotans early on to useful concepts.)
Has the time come for a fractal state flag?
Happy #FractalFriday and a great weekend!
Rorschach: What do you see in this inkblot?
Me: #FractalFriday!
Have a great one and a joyful weekend!
Art imitates life? Life imitates art?
Happy #FractalFriday!
This #FractalFriday: interlinked with 'Legend of Zelda' vibes.
Today's fractal started with an acetaminophen molecule and ended up with what reminds me of an architectural drawing (you may have to zoom in). I don't really know how that works. Then again, we still don't really know how acetaminophen works. I am just glad that it does.
May things work for you on this #FractalFriday and weekend!
I don't know if *ominous voice* #WinterIsComing.
I do know *cheerful voice* it's #FractalFriday.
Have a great one and a wonderful weekend!
Just like in the universe, with fractals, no matter how deep we dig, there is always more to find.
Happy #FractalFriday and a great weekend!
Today's fractal was inspired by a trip to the grocery store, Migros, a fascinating Swiss company with its own "fractal" story. It started in 1925 with a mere six essential products and is now our biggest supermarket chain, organized as a cooperative federation with ten powerful regional entities and more two million members.
How do you apply fractal principles in your business?
Happy #FractalFriday and a great weekend!
Last year, I took an immunology class and, clearly, it's still lingering in my subconscious. Today, it found expression in this fractal that I am calling "Infection".
I just started a pharmacology class. Stay tuned for how that expresses itself.
Happy and healthy #FractalFriday and weekend!
For the beginning of September, a fractal using septagons.
Happy #FractalFriday and a great weekend!
Sometimes, the Butterfly Effect produces... a butterfly.
Happy #FractalFriday and then a great weekend!
Look closer. The same reality looks very different at different scales.
Happy #FractalFriday and a great weekend!
Are stained glass window makers just skilled fractalists?
Happy #FractalFriday and a wonderful weekend!
This week, we celebrated 732 years of Switzerland, a nation with remarkable self-similarity and resilience! ๐จ๐ญ
There once was a square
that felt awfully bare;
it wanted infinite friends!
Being quite pract'cal,
it decided to fractal;
let's see how this tale ends!
Happy #FractalFriday and a joyful weekend!
Sometimes, an idea just doesn't want to fully manifest. Then, suddenly, it clicks and the contours became sharp and perfectly clear!
Happy #FractalFriday and then a great weekend!
Is it because I'm about to board a red-eye that this fractal wanted to take flight? The surprises never end.
Happy #FractalFriday and a great weekend!
Rivers combining or symmetric struggle? What's in your eyes, beholder?
Happy #FractalFriday and a great weekend!
My fractals often turn out like things we see in nature. It shouldn't surprise me -- after all, fractal structures are one of nature's tricks.
Happy #FractalFriday and then a great weekend!
The union of two worlds, each beautifully complex on its own.
Happy #FractalFriday!
You can keep doing everything the same and just change one essential parameter to get a completely different result.
What are ๐บ๐ฐ๐ถ๐ณ essential parameters?
Have a great animated #FractalFriday and weekend!
When making fractals, I never know what I am going to get. One tiny change initially changes the result completely.
For a beautiful result, you need the right initial conditions or the right rules to iterate with. And that's true not just when making fractals.
Happy #FractalFriday!
Taco Tuesday or #FractalFriday?
Have a great weekend!
Happy #FractalFriday and a wonderful Pentecost and Memorial Day weekend!
A very happy and colorful #FractalFriday!
One of the most underrated questions: what if it was easy?
Fractals are one of nature's answers.
My new hobby: creating fractal art. (100% AI-free.)
Fractals are amazing, a beautiful form of complexity generated from a very simple kernel with very simple rules, recursively applied.
Happy #FractalFriday and have a great weekend!