The Hidden Fractal Power
I don't know how the idea of this buzz emerged. All I recall it started by looking at the image of the rugged leaves below.
I found myself comparing this rugged shape with rugged coastlines and rugged mountains.
Coastlines are fractal and we may not determine their lengths precisely. The more we zoom in, the more we find them longer. By the same token, can we measure precisely the length of a rugged leaf? It is a fractal one. Some studies find that leaves have a fractal length between 1.7-1.9, but shall we ever be sure of the exact length of even a leaf? We know more to find how less we know.
Not all leaves are rugged. Some have smooth edges. Not all rugged leaves are broad and some are narrow. Trees balance their acts. Depending on water and light availability they modify their leaves. Leaves absorb sunlight and release water. When water is scarce he leaves become narrow to minimize water losses. The rugged leaves tend to lose heat faster. When water is abundant they have broad leaves to absorb maximum sunlight. Is this a kind of self-organizing of shapes? I believe yes. Fractals are self-organized in more depth than we know.
My mind went then to think of snowflakes. Snowflakes form in many altitudes and produce wonderful displays of hexagonal structures.
Snowflakes are fractals as they are self-similar regardless of scale. Zoom in and zoom out and they shall look at the same. Wonderfully, there are also sand flakes (I shall get a typo if I write sandflakes in emulation of snowflakes). Recent researches have shown how sand forms flakes that look like snowflakes. When two fluids with different viscosities are mixed together, the more freely flowing fluid expands in finger-shaped intrusions into the other fluid. Surprisingly, crowds too form finger-like distribution. In areas of bidirectional motion, people tend to follow others to minimize collisions (maximize throughput). This is known as the as the “fingering” effect".
I wonder if there is"Fractal Power" acting on systems to organize their movement, shapes, arrangement so as to maximize their use of available resources? Rugged coasts, rugged leaves and I imagine rugged beliefs, opinions, ideas and you name it. Are their intangible fractals inside us organizing us without being aware of?
Let me explain what I mean. Crowds distribute in finger-like distributions to avoid collisions. When I say my mind is crowded with many ideas do these ideas instead of colliding find an escape gate so as to not collide? Is there a fractal pattern emerging from the crowdedness of ideas? Is this possibility greater when we have ideas moving in opposite lanes with positive ideas in one lane and negative ones in the opposite lane?
I have no answers. I am just asking. We don't know till now how snowflakes forms or how sand flakes forms. This comforts me for not knowing the answers to my questions.
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التعليقات
🐝 Fatima G. Williams
منذ 7 سنوات #74
🐝 Fatima G. Williams
منذ 7 سنوات #73
Lisa Gallagher I love this thought of yours spoken out loud " Wonder what my thoughts would look like if they emitted fractal patterns people could see? " Yes Ali Anani heading that direction Thank you - " Restriction is truly rewarding "
CityVP Manjit
منذ 7 سنوات #72
Ali Anani
منذ 7 سنوات #71
Do you find my buzz relevant to your comment dear Fatima Williams? https://www.bebee.com/producer/@ali-anani/different-facets-of-growth
Ali Anani
منذ 7 سنوات #70
Beaty is your comment dear Lisa Gallagher. Please read my next buzz of TThe Different Facets of Growth and I can tell it shall resonate with you. I pledge.
Ali Anani
منذ 7 سنوات #69
I am writing a buzz and it should address directly and indirectly the full value of your comment dear Fatima Williams. I am bringing the value of restricted movement in adding beauty to our lives. Yes, restriction can be very rewarding.
Lisa Gallagher
منذ 7 سنوات #68
🐝 Fatima G. Williams
منذ 7 سنوات #67
🐝 Fatima G. Williams
منذ 7 سنوات #66
Gerald Hecht it's funny that you remembered me on this one as I had a hearty laugh on reading the comments this evening on this buzz and lost my comment while typing and had put it off for later. Your humor is infectious my cheerful friend 🤗🤗🤗🤗🤗 Who's the bugger bugging your health give him a ---- you and take care 😉😉👍👍 cheers to that ✋
Cyndi wilkins
منذ 7 سنوات #65
#93 Now you're talking! I've got the tattoo...However, it's location is a secret;-)
Cyndi wilkins
منذ 7 سنوات #64
#86 Get a room u 2;-)
Milos Djukic
منذ 7 سنوات #63
I am glad to hear that Irene Hackett, my dear friend :)
Cyndi wilkins
منذ 7 سنوات #62
Milos Djukic
منذ 7 سنوات #61
#79 Gerald Hecht, I'm more concerned about the infinity of my ignorance :)
Milos Djukic
منذ 7 سنوات #60
Nope Aurorasa Sima :)
Milos Djukic
منذ 7 سنوات #59
#79 #81 Yap Gerald Hecht :) "Fractals: The Colors of Infinity" - documentary with Arthur C. Clarke on 1) topdocumentaryfilms.com and 2) youtube: 1) http://topdocumentaryfilms.com/fractals-colors-infinity/ 2) https://www.youtube.com/watch?v=Lk6QU94xAb8 Note: All credits go to the owner(s) of the original video and to the website that it was downloaded from (Google). There is no financial gain from this upload, nor will there be at ANY stage in the future. "Copyright Disclaimer Under Section 107 of the Copyright Act 1976, allowance is made for "fair use" for purposes such as criticism, comment,news reporting, teaching, scholarship, and research. Fair use is a use permitted by copyright statute that might otherwise be infringing. Non-profit, educational or personal use tips the balance in favour of fair use."
Cyndi wilkins
منذ 7 سنوات #58
LOL Aurorasa Sima!
Milos Djukic
منذ 7 سنوات #57
Gerald Hecht :))
Milos Djukic
منذ 7 سنوات #56
Milos Djukic
منذ 7 سنوات #55
You're too kind dear Irene Hackett. Carl Segan was the one and only, period. "No one will ever match his talent as the “gatekeeper of scientific credibility” - from article titled: "Why Carl Sagan is Truly Irreplaceable" by Joel Achenbach on smithsonianmag.com (http://www.smithsonianmag.com/science-nature/why-carl-sagan-truly-irreplaceable-180949818/?no-ist). A masterpiece in science communication by Carl Segan: "4th Dimension Tesseract, 4th Dimension Made Easy Carl Sagan" on youtube: https://www.youtube.com/watch?v=N7K5KjOdLD8 A great person deserves no less - Carl Edward Sagan (1934 – 1996) an American astronomer, cosmologist, astrophysicist, astrobiologist, author and science communicator.
Milos Djukic
منذ 7 سنوات #54
Milos Djukic
منذ 7 سنوات #53
Dear Aurorasa Sima) about why this network (beBee) is something special. I'm trying to realize that through the science communication. This is a pioneering task that is also very difficult to realize without all of us (the butterfly effect).
Milos Djukic
منذ 7 سنوات #52
Part II Dear Ali Anani, This is an extremely important topic: social networks and complexity, fractal was once a symbol of beauty while this time it is essence. We are dealing with the chaos right now. That's why I'm involved in applied complexity science for more than 15 years. Since I am a material scientist, I want to point out once again that mathematical modeling of multi-scale phenomena and matter-materials response on different length scale, as a powerful tool in modeling not only physical phenomena, but also social phenomena, certainly includes required knowledge about self-similar systems and fractals and self-similar solutions of partial differential equations. The fractal nature of the fracture process and the geometry of a crack are well described in the literature by the father of fractals (Benoit B. Mandelbrot, Fractal analysis and synthesis of fracture surface roughness and related forms of complexity and disorder, International Journal of Fracture, Volume 138, Issue 1-4, March 2006, pp 13-17, DOI 10.1007/s10704-006-0037-z). This is currently the biggest hit in the scientific world: multiscale modeling and analysis in the different fields of science, including social science, which is certainly a fertile ground for the fundamental and applied aspects of complexity science. Once I was wrote: “Fractals will become like worn soles. Please never ever forget that fractals are strictly related to chaos.” Kind Regards, Milos
Milos Djukic
منذ 7 سنوات #51
Part I I agree with you dear Ali Anani This is not an "instant idea" and anyone who feels the need, or recognize the importance can investigate gradually, step by step. Writing about fractals is more like teaching and mutual shaping of perception rather than activism. Many people have no idea what fractals are, and what are their connections with other social phenomena (the Butterfly Effect, John Henry effect and Pygmalion effect), complexity science, social philosophy, and human relationships. It must not be forgotten that every discovery has always been preceded by years or even decades of painstaking learning and investigation. The challenge and most obvious problem is to linking models and phenomenology of complexity theory and cognitive science at different scales and to translate the insights gained into outcomes of value to the whole beBee community and even further in other social structures. I'm trying to provide scientific communication with practical examples in this highly complex area. Especially given the huge importance of science regarding complex adaptive systems, particularly when it comes to social networks, their sustainable development-prosperity and human relations (interactions) in social media. Those who will rule in this area, will also have the possibility for a much greater "manipulation", whose final effects can be also extremely humane and aimed toward cooperation for mutual benefits for social media owners and users. Future leadership is about social complexity with a growing trend of social encounters and exchanges
Milos Djukic
منذ 7 سنوات #50
Dear Mohammed Sultan, Thank you for your sophisticated and profound comment.
Ali Anani
منذ 7 سنوات #49
Interesting and imaginative comment dear Mohammed Sultan As I am reviewing all the comments I find all sorts of ideas. They come from different angles. perspectives and varied imaginations. Like atoms have the same structure design- a nucleus with orbiting electrons and yet they behave differently. It is filling the orbitals that make the difference and how filled these orbitals are. To be inert is to be fully saturated? You have a great perspective my friend. When I think of the periodic table and how elements change in their physical and chemical properties by simply adding electrons to different orbitals then I understand the difference between carbon dioxide and oxygen. But taking polarity then the difference between water and carbon dioxide. May be those people have a much different ionization potential my friend. I fully agree with the idea that if you love (not necessarily know) what you do then you can explain it simply. I say love and not understand because we love fractals but we have a long way to understand them fully. Do you feel "ionized" after reading this response?
Ali Anani
منذ 7 سنوات #48
Beautifully expressed dear Ben Pinto. I learn the same way
Ali Anani
منذ 7 سنوات #47
Have a safe journey my friend
Ali Anani
منذ 7 سنوات #46
Absolutely dear Mohammed Sultan- it is through the exchange of ideas in the right medium that purify ideas. BeBee is the medium. I concur.
David Navarro López
منذ 7 سنوات #45
I am flying today, in fact in 3 hours, and will be out for a week. Not too sure if I will be able to connect during this time. In any case, I am taking with me a lot to think about during the journey. Stay blessed dear Friend
Ali Anani
منذ 7 سنوات #44
Again, fractals are both repeating AND changing. Repeating rules of forming fractals, but with similar but not identical fractals. Human behaviors do show fractals, but these fractals are not identical for if there is a minor change of the rules of their interplay we end up with huge variation within the boundary of a fractal. Your point David Navarro L\u00f3pez " Honestly, I don't see the connection between a repeating thing and a changing thing" is legitimate, but fractals are both.
Ali Anani
منذ 7 سنوات #43
Amazing comment and shall be on my mind for long times dear . Your writing "They were just that; theories that his mind developed by bringing these fingers of occurrences together to form a snowflake". What beauty! You filled my day with joy
Ali Anani
منذ 7 سنوات #42
David Navarro López
منذ 7 سنوات #41
As fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern that displays at every scale, I can't see as clearly as you do a repeating pattern, in your words, "that fractal patterns are the reward for sticking to simple rules of human values" since human values and behaviours are changing from second to second. Honestly, I don't see the connection between a repeating thing and a changing thing. If you consider a basic human value like love, when you display it in another scale, it will be much different than the original one, not only in size but as well in the kind of it. Sorry to seem simplistic, but mixing the both concepts sounds to me like mixing apples and potatoes, unless you explain it better for my limited and nearsighted mind. Look forward to your next post about this challenge, (or in your words, just to tease your mind)
Ali Anani
منذ 7 سنوات #40
I love the way you tell your experiences dear Deb Lange. In my next buzz on cleaning (washing) ideas I find that we ideas split into micelles . We remove dirt of ideas by allowing them to self-organize. You wrote "we all separate and go off on our own or in small groups". I say ideas group into micelles. Your thoughts are very deep
Ali Anani
منذ 7 سنوات #39
Dear Mohammed Sultan- does simplicity conceal complexity? Complexity starts from the interaction of simple rules. This is the paradox and the beauty at the same time. I am writing a buzz on Cleaning Ideas- this is my metaphor for visualizing complexity. Like we wash clothes we wash ideas. They are always crude to start with and dirty to start with. I hope this metaphor shall not as you said " in the use of metaphors to conceal the original issue ,not to call attention to it".
Ali Anani
منذ 7 سنوات #38
I read all you buzzes before and I have re-read them now dear Milos Djukic. You are a fractal thinker. Fractals are beautiful and so are your fractal words. they are consistent with their beauty and patterns and inspire us to think with joy.
Ali Anani
منذ 7 سنوات #37
Fractals initiate from simple rules. When birds flock together or tree branch out they follow simple rules that lead to the emergence of repeating patterns. I wrote once that fractal patterns are the reward for sticking to simple rules of human values. On this issue, I agree with you David David Navarro L\u00f3pez
David Navarro López
منذ 7 سنوات #36
Precisely because cause and effect are not always linear, we can not reach the ultimate effects of a cause or act. They go beyond our power of influence. So my choice is to influence things at their inception, with high human values and positivity, and care about the closest effects on which I still can have some influence, forgetting about the rest, with a thought in my mind: If everybody would act like I am planning to do, would be the world a better place, or a worse place to live in? And then I act consequently.
Ali Anani
منذ 7 سنوات #35
Dear Milos Djukic- let me first mention that I am like a poet -reads poetry to extract some beauty to enrich my heart and mind, but then to remain authentic I forget the rest. I love your buzzes, enjoy reading them and extract the essence that appeals to me from them. When this essence shows up I never know. All I know it is there for using one day without even planning to. I have read your LI post and you amaze me with the beauty of your writing. The paradox for me is that you are a doctor in mechanical engineering while measurements have a role to play; yet you are also a genius when it comes to writing about fractals. I wonder how you integrate your two worlds. May be this is an ideas for a buz. I am trying to use my science background to understand the beauty of fractals. I see fractals in nature and I see them in us. I believe in the integrity of our world as I mentioned to David David Navarro L\u00f3pez in my comment below. I might imagine wrongly, but that doesn't mean I shall stop imagining. I use different approaches to understand fractals. I reach a point of view that is in accordance with your comment. Slight differences may grow in different paths, but then this is the beauty of fractals.
Ali Anani
منذ 7 سنوات #34
David Navarro López
منذ 7 سنوات #33
David Navarro López
منذ 7 سنوات #32
Milos Djukic
منذ 7 سنوات #31
Very kind of you Lisa Gallagher. Thanks.
Lisa Gallagher
منذ 7 سنوات #30
Milos Djukic
منذ 7 سنوات #29
Thank you so much Franci Eugenia Hoffman.
Milos Djukic
منذ 7 سنوات #28
Milos Djukic
منذ 7 سنوات #27
Milos Djukic
منذ 7 سنوات #26
Milos Djukic
منذ 7 سنوات #25
Milos Djukic
منذ 7 سنوات #24
Ali Anani
منذ 7 سنوات #23
Dea sister Irene Hackett- you wrote ""Fractal Power acting on systems (beBee) on organizing movement (of thoughts and ideas) ....so as to maximize their use of available resources." This is the theme of my next buzz and so you read my thoughts. I appreciate your kind words and I am happy that a bright lady thinks so highly of my buzz. Your comment is simply energizing.
Ali Anani
منذ 7 سنوات #22
Thank you dear Sara Jacobovici- I am still working on the new buzz
Sara Jacobovici
منذ 7 سنوات #21
One thing is for sure, Ali Anani, my appreciation and gratitude to you is definitely fractal!! Looking forward to your next Buzz.
Ali Anani
منذ 7 سنوات #20
I respond again to your lovely comment dear Sara Jacobovici. You open up new horizons for me to think about. Right now, I am preparing a dedicated buzz to answer your comment. Our word is witnessing an increased complexity and I find now a new metaphor to accommodate the complexity of movement. This metaphor should help in answering your beautiful comment. I promise to publish late Saturday or the latest Sunday, and I hope the next buzz shall even open more horizons for us. You see your comments and questions are fractal. The more we zoom into them, the more beauty we see, the more we learn, the more we may organize our thoughts and the more we need to know. You are now the Beautiful Fractal Mind. Truly, you are.
Ali Anani
منذ 7 سنوات #19
Ali Anani
منذ 7 سنوات #18
I wonder dear Mohammed Sultan what hobbies you have. You have splendid imagination. Your wrote The coastlines of our brains are as long as our strands of thoughts and as strong as our strong hearts.Though outwardly a darker line,the inner of every cloud is bright and shining." WOuld I find a better description for Mandelbrot strange attractor better than this? Your imagination is real and I love the term rugged minds. It opens up new windows for thinking. Bravo my friend.
Ali Anani
منذ 7 سنوات #17
Ali Anani
منذ 7 سنوات #16
Ali Anani
منذ 7 سنوات #15
Great and some ideas are crystallizing in my mind. You know this shall be the material for a dedicated buzz. Your comments and those of other commenters and of namita sinha bring many ideas. Your comment is rich and my responses to namita are in line with I responded to her valuable comments " In this way, collision occurs as a result of the need to achieve the optimum balance in an environment in which we can thrive". These comments are mind-blowing
Sara Jacobovici
منذ 7 سنوات #14
Reading your multilayered comment Ali Anani triggered another possible "branch" (or paradox). Movement in general, and so the active movement of collision specifically, is the means through which we express our instinct for self-preservation. The "move" towards homeostasis, "within simple rules", to regulate temperature, hydration, and all other conditions must be the "driving force". In this way, collision occurs as a result of the need to achieve the optimum balance in an environment in which we can thrive. This process would fit with the what needs to happen when ideas are formed; how do they move, what do they need to do to achieve balance, do they need to collide with other ideas to move us towards a balanced environment in which we can thrive? Your answers Dr. Ali, lead to more questions.
Ali Anani
منذ 7 سنوات #13
Dear namita sinha- you wrote very intellectual comments. I am only reacting to your great comments. Yes, if I choose to ignore them then how may we develop? I find it extremely unfair not to respond to comments because they are part of the writing- an integral part and not an appendix. The way you summarized my comments is amazingly subtle and reflect your great desire to grow. Your comments make me think and grow.
Ali Anani
منذ 7 سنوات #12
I am still thinking about your comment dear Sara Jacobovici. Yes, ideas are molecules of different shapes and properties. They need to collide to produce new products. But are these collisions controlled by simple rules such as diffusion? In other words it is their controlled distribution that allows for collisions to occur or not. If ideas are to grow into big chains of form "Ideas Trees" then they must collided within simple rules. This is how polymers form. Diffusion becomes very important. So, distribution by diffusion controls the number of collisions. Again, shall explain in a greater detail. But your question kept my mind brewing. One more idea is the effect of environment. Back to leaves and how they produce photosynthesize. If heating by absorbed light is too much the chlorophyll pigment gets destroyed and no reaction shall proceed then. Will be back again as I am trying to accommodate your observation more subtly
Ali Anani
منذ 7 سنوات #11
namita sinha- you wrote- there ought to be more harmony as well - ideas should harmonize with and conserve our physical backgrounds and environment rather than destroying them ! Yes, and as I mentioned in my previous comment it is the fairness of playing games with equal opportunities to all parties. The leaves in the leaves have all equal opportunities to light. They do their job by getting smaller in size the higher they go. More, they act to balance their needs for lights and loss of water. If they have too much heat from sunlight they increase the efficiency of losing heat by modifying their shapes. In human societies we lack these features. The societal cycle of idea generation- idea exploitation- disturbance- force of law keeps repeating and eventually reach the stage of self-destruction. New birth of creative ideas starts again.
Ali Anani
منذ 7 سنوات #10
Ali Anani
منذ 7 سنوات #9
Lots of ideas to think about namita sinha. Yes, slow, but sure growth allows for room to adapt and learn. Sometimes, when the system has feedback effects of simple and repeating rules it night reach a level where its capacity hold more falls rapidly.it might each a level beyond its capacity. Within the spacetime the system may reorganize or become self-destructive. Self-organization os from within the system and not due to external factors. Look at trees, they become self-organizing such that the leaves are progressively smaller the higher they are. The high leaves are the smallest because they have more exposure to light. When the trees become overcrowded they plan a destructive game. They obscure light from each other or send their roots in all directions to deny other trees (except their siblings) nutrients and water. The trees eventually might burn destructively. In this case the remaining seeds may generate better quality trees. The self-organizing act may defer the need for destructive actions.
Ali Anani
منذ 7 سنوات #8
"So while there is persistence shown in nature in the form of a hard working stream of water or repeated gust of winds - causing acts of erosion / weathering/ and resulting ruggedness; there is adaptation and resilience shown by impacted life forms for survival and evolution". I say dear namita sinha that a good writer who understands his topic will have a great; yet simple conclusion. Your comment is an example of what I mean. Ruggedness in rocks may result by the effect of wind,; however ruggedness in leaves may result from their mode of fractal growth. No matter what, ruggedness serves a purpose.
Ali Anani
منذ 7 سنوات #7
I agree fully dear DILMA BALBI. I am enjoying the trip of discovery. This is a lovely one no matter how challenging it is.
Ali Anani
منذ 7 سنوات #6
You don't have to be apologetic dear debasish majumder. I fail to understand your point on hydrogen. It is not even involved directly in the photosynthesis reaction. Please clarify your point.
Ali Anani
منذ 7 سنوات #5
Ali Anani
منذ 7 سنوات #4
Thank you dear Cyndi wilkins for your beautiful emotions. These were precisely what evoked the idea of this buzz. I have been to New Mexico and many places where I had the opportunity to enjoy the Grand Canyon. Great memories evoked the idea of this buzz
Sara Jacobovici
منذ 7 سنوات #3
Cyndi wilkins
منذ 7 سنوات #2
Ali Anani
منذ 7 سنوات #1
I look genuinely to hearing thoughts from all directions. You are smart dear Aurorasa Sima