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  1. Vincenzo De Florio

    via @esoterica@mathstodon.xyz

    Picture: Caspar David Friedrich
    β€œWanderer above
    the sea of fog” (1818)
    Vincenzo De Florio
  2. Lada 🏑 Prkic
    This great photo from 1887 shows the engineers who designed and built the world-famous Forth Rail Bridge in Scotland. A human bridge model was used to demonstrate the cantilever principles behind the bridge.
    Lada 🏑 Prkic


    Lada 🏑 Prkic
    21/07/2017 #9 Lada 🏑 Prkic
    #8 Manjit, I didn't even notice what you pointed about the video. :-)
    As a woman in STEM field, I don't see the gender disbalance in my country. Croatia has very positive statistics on this issue. For example, at the Rudjer Boskovic Institute (a leading scientific institute in the natural and biomedical sciences), more than 60% of scientists and researchers are women.
    Thanks for the link to TED talk.
    CityVP 🐝 Manjit
    20/07/2017 #8 CityVP 🐝 Manjit
    #6 Clay Shirky calls organizing and creating that kind of video as "cognitive surplus" https://www.ted.com/talks/clay_shirky_how_cognitive_surplus_will_change_the_world

    The only down point of that video is that it says 8 Guys instead of 8 Students. Since the Maker Movement is a part of 21st Century existence we should highlight that girls should be playing a fundamental part in its growth and development - and there are side projects aimed at ensuring this emerging culture is gender neutral http://ngcproject.org/story/lets-invite-girls-makers-movement
    Lada 🏑 Prkic
    20/07/2017 #7 Lada 🏑 Prkic
    Thanks for sharing @Milos Djukic. :-) #FractalsForever
    Lada 🏑 Prkic
    20/07/2017 #6 Lada 🏑 Prkic
    #5 Thank you for sharing and commenting, Manjit. I also find this photo to be informative and inspiring. It's inspiring in the way that there are many novel re-enactments of the Human Cantilever like this one made by students at UniversitΓ  IUAV di Venezia β†’ https://youtu.be/jBdmAyyUnHs
    As you said, young people are enjoying tinkering with engineering principles.
    CityVP 🐝 Manjit
    20/07/2017 #5 CityVP 🐝 Manjit
    The maker community will be interested in this and this community is growing again, young people are discovering again what craft is, enjoying tinkering with design and engineering principles. We are too consumed these days with political noise to notice that such a community is on the rise, and it is not just because of the introduction of 3D printing, making is interesting bright people again. What this photograph does is a practical communication of engineering principles that might awaken the curiosity of people whose attention is somewhat distracted by the shenanigans and the marketing of modern media.
    Lada 🏑 Prkic
    20/07/2017 #4 Lada 🏑 Prkic
    #2 Indeed, @Ian Weinberg. The bridge itself is an example of human ingenuity. Today we can't imagine designing even the simple building without the complicated structural design software. But until recently, such structures were a product of human ingenuity, not the computer software. Thanks for commenting. :-)
    Lada 🏑 Prkic
    20/07/2017 #3 Lada 🏑 Prkic
    #1 Thank you, Joanne, for such a beautiful comment. I'm also in awe with this photo and a simple but brilliant representation of the basic physic's principle. It served to convince the skeptics that cantilever concept is the right choice for long-span bridges. Seeing is believing. :-)
    Ian Weinberg
    20/07/2017 #2 Ian Weinberg
    Thanks for sharing @Lada 🏑 Prkic I'm always inspired by pure raw human ingenuity and it's applications. It comes from a place that can never be usurped by AI because it incorporates something that computers don't possess - awareness!
    Joanne Gardocki
    20/07/2017 #1 Joanne Gardocki
    Great find, @Lada 🏑 Prkic. There are so many things we take for granted. Sometimes it is hard to remember there was a time when accepted technology (lightbulbs, phone, TV, movies with color and sound) were new and awe-inspiring amazing magic Thank you for the reminder and reconnection to that sense of awe..
  3. Vincenzo De Florio
    "...theoretically many different potential combinations could form other kinds of baryons..."

    Vincenzo De Florio
  4. Vincenzo De Florio
    There's a Fractal Face in Bruges! Vincenzo De Florio


    Vincenzo De Florio
    01/07/2017 #2 Vincenzo De Florio
    ...When I saw that "face" in front of me, I could not believe my eyes! :)
    Thank you very much, dear friend @Ali 🐝 Anani, Brand Ambassador @beBee
    Ali 🐝 Anani, Brand Ambassador @beBee
    01/07/2017 #1 Ali 🐝 Anani, Brand Ambassador @beBee
    This is a fantastic image with imagination my dear @Vincenzo De Florio
  5. Vincenzo De Florio
    Of all human substances, the most perfect in apperception was that of
    Gottfried Wilhelm von #Leibniz (1 July 1646 – November 14, 1716)
    Vincenzo De Florio
  6. Vincenzo De Florio

    "But from thine eyes my knowledge I derive,
    And,constant stars,in them I read such art
    As truth and beauty shall together thrive."
    Vincenzo De Florio
  7. Vincenzo De Florio
    by Terry Winograd

    Vincenzo De Florio
  8. Vincenzo De Florio
    Stephen Wolfram
    A New Kind of Science
    Vincenzo De Florio


    Vincenzo De Florio
    23/06/2017 #10 Vincenzo De Florio
    #8 Me too, absolutely :) Glad you appreciate it, @Pamela 🐝 Williams!
    Vincenzo De Florio
    23/06/2017 #9 Vincenzo De Florio
    #7 It's a life work indeed, dear @CityVP 🐝 Manjit! An immense and beautiful reflection started when Wolfram was a teenager... and that luckily goes on even now, am sure. So glad that you see its beauty, dear friend!
    Pamela 🐝 Williams
    23/06/2017 #8 Pamela 🐝 Williams
    Looking forward to reading more of this. Like Manjit I'm saving the link.!
    CityVP 🐝 Manjit
    23/06/2017 #7 CityVP 🐝 Manjit
    My word Vincenzo! This resource extends to nearly 900 pages and that does not even include Steven Wolfram's notes, and the way it has been placed online is the best form of digital navigation I have seen, what a way for him to share his life's work. I am saving this link to my desktop, what a great reference source to have at one's finger tips. Marvelous !
    Vincenzo De Florio
    17/06/2017 #6 Vincenzo De Florio
    #5 My sheer pleasure, dear @Milos Djukic :)
    All the best!
    Milos Djukic
    17/06/2017 #5 Anonymous
    Thank you @Vincenzo De Florio!
    Vincenzo De Florio
    17/06/2017 #4 Vincenzo De Florio
    #3 You're welcome @Lada 🏑 Prkic. A pleasure to share this genial work!
    Lada 🏑 Prkic
    17/06/2017 #3 Lada 🏑 Prkic
    Thanks for the link to the online version of his book.
    Vincenzo De Florio
    17/06/2017 #2 Vincenzo De Florio
    #1 Thank *you*, dearest friend @Ali 🐝 Anani, Brand Ambassador @beBee! Wish you a lovely weekend :)
    Ali 🐝 Anani, Brand Ambassador @beBee
    17/06/2017 #1 Ali 🐝 Anani, Brand Ambassador @beBee
    Thank you for this timely share dear @Vincenzo De Florio
  9. Vincenzo De Florio
    It's a new kind of science indeed...
    Vincenzo De Florio
  10. Lada 🏑 Prkic
    THE AMAZING TETRAHEDRON β–Ί https://www.bebee.com/producer/@lada-prkic/geometry-all-around-us
    A tetrahedron is the simplest Platonic solid.
    It is composed of only four triangular faces and four vertices.
    It is its own dual.
    The tetrahedron shape is seen in nature in covalent bonds of molecules.

    Image: Sierpinski tetrahedron, a 3D evolution of the fractal Sierpinski triangle.
    Lada 🏑 Prkic
  11. Akhtar Hussain

    Akhtar Hussain

    Interesting Akhtar Hussain
  12. Javier 🐝 beBee
    Enjoy maths !
    Javier 🐝 beBee
    Javier beBee 🐝🐝 on Twitter
    twitter.com β€œ@beBee, an engagement-based community ! Enjoy #maths !...


    Paul "Pablo" Croubalian
    01/03/2017 #3 Paul "Pablo" Croubalian
    LMAO... Proof that communication is key.

    #1 Javi, I had little choice but to be good in Math. I'm the son of a Doctorate of Mathematics.

    What I like best about Math is that there is no gray area... it's right or it's wrong. But, I remember a professor who would run through a blackboard full of equations to arrive at 3=5. The error was so subtle I missed it the first time.
    Pedro 🐝 Casanova
    01/03/2017 #2 Pedro 🐝 Casanova
    Ask any teen how many reincarnations of Pikachu are needed to digi evolutionate in Mega pokemons and sure he nails it.
    Ask any teenager X = √16 and he calls the police acussing you of harassment
    Javier 🐝 beBee
    01/03/2017 #1 Javier 🐝 beBee
    @Paul "Pablo" Croubalian what about your capacities in mathematics LOL ?
  13. Grey Jabesi

    Grey Jabesi

    Grey Jabesi
    www.greyjabesi.com You can also click here do download This is a part 2 of my conversation with Dr Jonathan Farley. If...
  14. Grey Jabesi

    Grey Jabesi

    http://www.greyjabesi.com/careers/ep33/ Grey Jabesi
  15. ProducerAli 🐝 Anani, Brand Ambassador @beBee
    The Complexity of Choices
    The Complexity of ChoicesWhere we stand has an important role in affecting our future. If we nudge a ball on a flat surface we may predict its next position. However; if we apply the same nudge on a ball standing on a peak with a rough surface who would predict its next...


    Ali 🐝 Anani, Brand Ambassador @beBee
    10/02/2017 #40 Ali 🐝 Anani, Brand Ambassador @beBee
    #39 We are then on the same wavelength @Deb 🐝 Helfrich
    Deb 🐝 Helfrich
    10/02/2017 #39 Deb 🐝 Helfrich
    #38 Exactly, @Ali 🐝 Anani, Brand Ambassador @beBee. We are squandering our time on hundreds of meaningless daily decisions and missing the crucial ways all of these choices are the root cause of the destruction we are doing to our own health and the demise of the planetary ecosystem.

    "Time to pause and think and even if we don't have the time we should make it."
    Ali 🐝 Anani, Brand Ambassador @beBee
    10/02/2017 #38 Ali 🐝 Anani, Brand Ambassador @beBee
    #37 @Deb 🐝 Helfrich- your comment is timely, precise and brings new points to the discussions so far. You wrote "We are propagating drastically unintended consequences when so much human energy and potential is expended in so many varieties of products...". This is a valid point. Today I commented on a post on LI by @Sara Jacobovici about time. I mentioned in my comment that we have much less time to choose from a widening range of choices such as products. Tis leads to loss of focus and having less pause time to make choices wisely. Now, you even increase this tension by mentioning "In any big box store 80%+ will have dire warnings about swallowing for a product solely intended to be used in our mouth!?!? Where shall all build up of tension shall lead us? Time to pause and think and even if we don't have the time we should make it.
    Deb 🐝 Helfrich
    10/02/2017 #37 Deb 🐝 Helfrich
    This was a buzz worthy of letting roll around the bumpy incline of my brain overnight, @Ali 🐝 Anani, Brand Ambassador @beBee.

    "As we increase the tension of having more choices or alternatives, the more likely we move towards chaos."

    I feel this all the time, and really appreciate the story that @Steve Brady shared about toothpaste. IT IS ABSURD.

    We are propagating drastically unintended consequences when so much human energy and potential is expended in so many varieties of products, mostly created by a handful of large companies, that are actually harmful despite the pretty packaging. In any big box store 80%+ will have dire warnings about swallowing for a product solely intended to be used in our mouth!?!?

    Why are we allowing the marketplace to be about sustaining its crazy structure, rather than as a tool to enable humans to live fuller, healthier lives?
    Tausif Mundrawala
    10/02/2017 #36 Tausif Mundrawala
    #33 You are more than welcome, Sir. I was searching for your buzzes.
    Ali 🐝 Anani, Brand Ambassador @beBee
    10/02/2017 #35 Ali 🐝 Anani, Brand Ambassador @beBee
    #34 Again, this is a very relevant point, @Jared 🐝 Wiese. I wonder if taxes were increased gradually in small doses would have ended differently. Unfortunately, decision-makers tend to prefer reactions and changes in noticeable percentages. That might yield to more disruption than ever imagined.
    Jared 🐝 Wiese
    10/02/2017 #34 Jared 🐝 Wiese
    #32 Glad you liked it and that it was relevant :)
    Your post also got me thinking about the one-time tax rebate that Bush did after the 2008 Great Recession. Did it have the expected benefit, getting people to spend more? I believe it had the opposite effect - people saved it as they were stuck in homeostasis - afraid of losing their jobs and not having enough money.

    "President Bush also authorized the U.S. Treasury to mail out a one-time tax rebate in 2008. It was unsuccessful in preventing the financial crisis."
    Ali 🐝 Anani, Brand Ambassador @beBee
    10/02/2017 #33 Ali 🐝 Anani, Brand Ambassador @beBee
    #31 Thank you the emerging star @Tausif Mundrawala
    Ali 🐝 Anani, Brand Ambassador @beBee
    10/02/2017 #32 Ali 🐝 Anani, Brand Ambassador @beBee
    Great comment, dear @Jared 🐝 Wiese. I watched the first link- a 10 minutes video about motivation. THis is a timely video and adds support for this buzz. Monetary motivations work as expected, but suddenly they work in the opposite direction by lowering productivity. Human, human behavior is strange. Will check the other link today. I am full of gratitude to your comment, Jared
    Tausif Mundrawala
    10/02/2017 #31 Tausif Mundrawala
    It is upto us how we see the situation ? Is it from the parallel axis or perpendicular axis, where this means this and that means that. We should always see the problem from the prism of founding solutions rather than spending time studying only the theories behind those problems. Again a mind stimulating buzz, Sir Ali Anani.
    Jared 🐝 Wiese
    10/02/2017 #30 Jared 🐝 Wiese
    Great post, Dr. @Ali 🐝 Anani, Brand Ambassador @beBee!
    It inspires some good thought. And more thoughts.

    One that came to mind was Dan Pink's DRiVE on worker motivation for the work that pays for those extra taxes - or anything for that matter:

    Another thought was resetting our set-points:
    Jeet Sarkar
    10/02/2017 #29 Jeet Sarkar
    #16 Sir @Ali 🐝 Anani, Brand Ambassador @beBee , I must say ... every time your posts enriched me ... either the metaphor or the ideas or both...so it is my pleasure to share your post sir. Thank you very much.
    Ali 🐝 Anani, Brand Ambassador @beBee
    10/02/2017 #27 Ali 🐝 Anani, Brand Ambassador @beBee
    #26 This is brilliance @Max🐝 J. Carter
    Ali 🐝 Anani, Brand Ambassador @beBee
    10/02/2017 #25 Ali 🐝 Anani, Brand Ambassador @beBee
    #24 I am honest with people and I try to be as clear as possible. I have just commented one of your old buzzes on wisdom and understanding and I found the buzz quite an enjoyable read. Honestly, writing in simplicity reaches the heart faster. In your comments here and your mentioned buzz both "entered" my heart for the same reason. Great thinking expressed in simple words. This formula brings BOTH understanding and wisdom. You did it.
    Ali 🐝 Anani, Brand Ambassador @beBee
    10/02/2017 #23 Ali 🐝 Anani, Brand Ambassador @beBee
    #21 Part 2/
    I am so pleased with this comment because it explained a new tension for me- the tension between being egoist and thinking of others. The idea that we move in waves reflects the flow of your comment
    Ali 🐝 Anani, Brand Ambassador @beBee
    10/02/2017 #22 Ali 🐝 Anani, Brand Ambassador @beBee
    #21 Dear @Max🐝 J. Carter- this time your comment is s clear, transparent, explanatory and truly deep. I agree with you on all fronts. You wrote "Their ups are small and their valley is low.

    To truly improve tings for all one must think of all as one makes ones choices and think about the impact to the sum.
    Ali 🐝 Anani, Brand Ambassador @beBee
    10/02/2017 #20 Ali 🐝 Anani, Brand Ambassador @beBee
    #18 You are the "King of Commenters" dear @Steve Brady. Your sharing of the toothpaste story makes your readers live the experience of the tension we may have when we have too many choices to make with no real differentiation factor. I am so please that you highlighted the idea of tension holding-capacity as this is a key point in the buzz. Your writing "I am fascinated by your extension of the Laffer curve as a metaphor applied to human behaviour and tension-holding-capacity." simply made me very happy. I am truly grateful to you and your good words.
    Ali 🐝 Anani, Brand Ambassador @beBee
    10/02/2017 #19 Ali 🐝 Anani, Brand Ambassador @beBee
    #17 Beautiful and deep comment that you wrote dear @Mohammed Sultan. You expanded on the issue of the tension of choices and their compromise. I do have few ideas percolating in my mind to expand on your comment. I am truly grateful to you my friend.
    Steve Brady
    09/02/2017 #18 Steve Brady
    Dear Ali, you've served up fascinating food for thought. You're a veritable "chef of emergent awareness"! Firstly, thank you for making me aware of the Laffer curve. I have minimal knowledge of economics, and so therefore have often wondered about the vagaries and inequities I see in the taxation system here in Australia. I am fascinated by your extension of the Laffer curve as a metaphor applied to human behaviour and tension-holding-capacity. I can recall in the early days of my Post Traumatic Stress Disorder recovery journey, I went to a supermarket to buy toothpaste. Standing at what appeared to me as an endless array of toothpaste brands, flavours, etc was like standing in front of an avalanche of choices. I felt paralysed ....the neatly stacked, but vast number of toothpaste choices tipped my rationality into a chaotic state, and a debilitating tension. I don't know how I did it, but I eventually chose one, paid for it, and then escaped from the supermarket as fast as I could!
    I've learned that the choices we make aren't as simple , intentional, or "clear cut" as we may believe. Rationality isn't always the king of the castle.
    Mohammed Sultan
    09/02/2017 #17 Mohammed Sultan
    There's always trade-off in choices if not well planned can lead to chaos.The happiness curve always involve a trade-off between goods or services and money.For example;if you spend more money on rent ,you will have less to spend on entertainment.If you buy more clothing ,you have less money for food.People choice can then be determined by the possible combinations of the purchase of two commodities at given price, given a fixed amount of disposable income.

    When it comes to money and happiness the economists should focus on the important things related to both of them.The color of a person's hair and eyes is probably not important ,but the color of his or her skin certainly is.Height and weight may not matter ,but education probably does.Proceeding this way may also be dangerous because any deviation from the truth may be multiplied later and may also lead to chaos.So,we have to be careful in our analysis and interpretations.My words can not convey my real feeling towards the depth and the width of your analogies Dear@Ali Anani PhD.
  16. Martin Tolovski

    Martin Tolovski

    Martin Tolovski
    The Paradox of the Three Prisoners
    medium.com If you’re into counter-intuitive probability puzzles (and who isn’t?), then here’s another for you, originally published by Martin...
  17. ProducerAli 🐝 Anani, Brand Ambassador @beBee
    Iteration of Ideas
    Iteration of IdeasOur world is full of surprises. The expected and simple interactions may lead to complex behaviors with unpredictability that surpasses our imagination. The behavior of many systems shows this "anomalies". They include the weather, the...


    Steve Brady
    02/12/2016 #41 Steve Brady
    #40 Dear Ali, thank you for your encouraging reply. Your thoughtful posts have certainly been a catalyst for fascinating discussion. If I may also encourage you: the way you genuinely interact with commenters on your posts is a blessing. You are gifted with the ability to articulate wisdom and at the same time engage with your readers to search for further wisdom.
    Ali 🐝 Anani, Brand Ambassador @beBee
    01/12/2016 #40 Ali 🐝 Anani, Brand Ambassador @beBee
    #39 @Steve Brady- amazing comment with its potential and practical examples.Led it and read it few times. Each time I ponder on this part "From my growing understanding of Fractal Perspectives it is from this state that we can see beautiful symmetries emerge and iterated patterns of coherent relationships emerge". Well, I see the patterns emerging when I read a comment by you. SOon, I am responding in a buzz to your very great comment.
    While reading this comment you really got me curious to read your comment on my following buzz. I feel you have so much to add:
    Steve Brady
    01/12/2016 #39 Steve Brady
    #33 Thank you, @Ali 🐝 Anani, Brand Ambassador @beBee. I too remain curious, as a life-long learner from published works, but also the "textbooks" of human beings in inter-relatedness. When I was trained in Restorative Justice, we were urged to interview thoroughly so as to aim for "no surprises". Thorough empathic conversations with affected parties is so often therapeutic in themselves, however, I am still amazed that every "circle" we formed in order to facilitate meetings between stakeholders, seemed full of potentialities...ranging from complex abreactions and fearful responses to wonderful unscripted reconciliations. One important key for me is that whenever people are gathered in community, even a private Restorative Justice meeting, is an open system, rather than a closed one. A second key that is important for me is to not fear "chaos". No one wants mayhem of course, but as I learned from reading "A Different Drum" by the late Dr M. Scot Peck, true community can emerge from the "chaos" of people feeling safe enough to lay down their facades and pretences, and be "real". From my growing understanding of Fractal Perspectives it is from this state that we can see beautiful symmetries emerge and iterated patterns of coherent relationships emerge. The lesson for me is to encourage potentialities, to be open and resist habitual control. Instead, be more like a true scientist, an explorer of truth. Herein lies the essence of respectful and powerful peace making.
    David Navarro LΓ³pez
    30/11/2016 #38 Anonymous
    @Katja Bader have a look here. Your point of view is requested
    Ali 🐝 Anani, Brand Ambassador @beBee
    30/11/2016 #37 Ali 🐝 Anani, Brand Ambassador @beBee
    #35 Your snowball example is simply genius. I know you wrote this comment partly from your own experiences, dear @David Navarro LΓ³pez. What a lovely illustration this is! Yes, we have nor control on the path of the snowball. es, we may have no control over the stones that may change the trajectory of the snowball, but we may always try again. Like you said, an oak tree doesn't produce pears. I feel you may extend this to a great buzz. You added a new meannig o the behavior of snowballs. We always need a fresh start.
    Ali 🐝 Anani, Brand Ambassador @beBee
    30/11/2016 #36 Ali 🐝 Anani, Brand Ambassador @beBee
    #34 #34 Dear @David Navarro LΓ³pez- this is a gem and your observation struck me too to the bones "One thought it shocked me to the bones, is that the day I stopped looking for explanations, is the day I started understanding life". SOmetimes we get over-stressed trying to understand and by doing that we are actually reducing our ability to understand. When things become too complex to understand, this is the time to relax and only then we may think of new approaches, new ideas and new thinking. There are so many things in life that we still don't understand. That is why I introduced the term "passionate curiosity".
    David Navarro LΓ³pez
    30/11/2016 #35 Anonymous
    #32 Part 2 But one thing was clear to me. (Again, a Spanish saying) You can not expect pears from an oak. So in order to promote the best scenario for both bees and hives, the only way I have found which is always certain, is to influence every action and ideas coming out with the highest human values. Here is, and only here, where we can have a part of control and responsibility about how things are going to develope, but just at the initial stage. You love analogies, and I like to look at it as a snow ball rolling down a hill. One can't know how it's going to end, but if one makes a big ball of "positive snow" and throws it aiming it in the right direction, it is more than probable it will end as you wished. Or maybe not. And if not, we can not run down to the hill and try to put away the stones that modified the trajectory of the ball. The ball will go faster, and stones are countless. Much better, make a new ball and aim it differently. If you are lucky, you will succeed. If not, better keeping "enhancing the ball" (which is under your direct control) rather than loosing the time asking why, as we can't be in two places at the same time.
    David Navarro LΓ³pez
    30/11/2016 #34 Anonymous
    #32 Part 1 Dear Ali, you know I am very interested in human behaviour, and I have been digging on it in any possible way a long time. One thought it shocked me to the bones, is that the day I stopped looking for explanations, is the day I started understanding life. Because as you are pointing out, "Humans interact and ideas may become heavily populated and their growth may be limited by our capacity to fully comprehend them" The feedback to our actions (or ideas), the more reach they achieve, the more complex they become. Being a practical man as I am, and having in mind the mentioned interacting between bees and hives, I switched from trying to understand the process, to trying to provoke the process in a trend it suited the mutual benefit fo bees and hives, due to the unavoidable fact that our energies and capabilitiy of comprehension are far too limited to reveal the ultimate consequences that feedback might cause modeling and transforming the original inception of it.
    Ali 🐝 Anani, Brand Ambassador @beBee
    29/11/2016 #33 Ali 🐝 Anani, Brand Ambassador @beBee
    #22 9 @Steve Brady- your comment is a source of huge curiosity for me to find more from your experience ".what a thought provoking post. I have found many times that a simple, single social interaction, personal or virtual, can lead to pleasing complexities". Your examples shall be mind-provoking and I sincerely hope you share dew of them with us.
    Ali 🐝 Anani, Brand Ambassador @beBee
    29/11/2016 #32 Ali 🐝 Anani, Brand Ambassador @beBee
    #31 You are good for the bee and the hive my friend @David Navarro LΓ³pez. I am expecting a great comment from you
    David Navarro LΓ³pez
    29/11/2016 #31 Anonymous
    Only as an advance of a longer comment i will do later to your challenging buzz, (you know i like to ruminate) a Spanish saying says, what is good for the bee, is good for the hive, and what is good for the hive, is good for the bee.
    Ali 🐝 Anani, Brand Ambassador @beBee
    29/11/2016 #30 Ali 🐝 Anani, Brand Ambassador @beBee
    #25 Always I am motivated by your comments @David B. Grinberg- thank you
    Ali 🐝 Anani, Brand Ambassador @beBee
    29/11/2016 #29 Ali 🐝 Anani, Brand Ambassador @beBee
    #20 Lovely example @Deb🐝 Lange, Brand Ambassador @beBee. The population equation sows when we may observe a linear growth. Yes, it is when the this rate goes high that we experience the complexity we observe.
    Ali 🐝 Anani, Brand Ambassador @beBee
    29/11/2016 #28 Ali 🐝 Anani, Brand Ambassador @beBee
    #18 Much obliged to your "oxygenated-comment" dear @debasish majumder
    Ali 🐝 Anani, Brand Ambassador @beBee
    29/11/2016 #27 Ali 🐝 Anani, Brand Ambassador @beBee
    #17 @Mohammed Sultan- it is simple rules that generate complexity. Changing the rate of population growth in the simple population equation led to complexity. We don't plan for it because it is an emerging one.
    David B. Grinberg
    29/11/2016 #25 David B. Grinberg
    Ali, your deep thinking and intellect never cease to amaze. Thanks for more brilliant buzz!
    Mohammed Sultan
    29/11/2016 #23 Mohammed Sultan
    #19 By birth control I mean putting a strategy aiming at raising per capita income with the same available resources and so too bettering people's health ,educational and job opportunities.I mean also giving people more chance to participate in public life.Simplicity is not also built on being alone ,isolating yourself from the current of events.If you have a vision and continuous and self-monitoring then you will realize that the simple formula about human development would be Sharing=Caring.
    Steve Brady
    29/11/2016 #22 Steve Brady
    Wow @Ali 🐝 Anani, Brand Ambassador @beBee...what a thought provoking post. I have found many times that a simple, single social interaction, personal or virtual, can lead to pleasing complexities. I am a Restorative Practices and legal reform advocate. The human behavioural equation you include is very helpful. "Scripted" approaches that ignore or even suppress potentialities very often stifle the rich and deep Justice and healing that is possible between people and in communities.
    Deb🐝 Lange, Brand Ambassador @beBee
    28/11/2016 #20 Deb🐝 Lange, Brand Ambassador @beBee
    Dear @Ali Anani have many ideas spinning around, but I will share just one at the moment about population and the ascent of feminine energy in both men and women. in Japan there are young men who are called β€œgrass eaters” - they are like plants and have no sexual desire.
    This will help contain population. Perhaps our DNA is changing as innately we know there are enough people in the world and we do not have to populate for survival of the human species.

  18. Ben Pinto

    Ben Pinto

    @Phil Friedman and @Milos Djukic thought you might both be interested in this book shown here. The author explains in laymen's terms six of the numbers that control our universe.

    I quite literally dreamt-up the the equation √1ΒΌ + Β½ = Ο•, I have observed a sprouting and growing tree whose branches grew with that formula in precision. This made me believe that math and physics will prove a Theory of Everything, though, perhaps, only after our collective dust has become part of a star one day.
    Ben Pinto
  19. Laurent Boscherini
    Γ‰variste Galois (French: [evaʁist Ι‘aˈlwa]; 25 October 1811 – 31 May 1832) was a French mathematician born in Bourg-la-Reine. While still in his teens, he was able to determine a necessary and sufficient condition for a polynomial to be solvable by radicals, thereby solving a problem standing for 350 years. His work laid the foundations for Galois theory and group theory, two major branches of abstract algebra, and the subfield of Galois connections. He died at age 20 from wounds suffered in a duel.

    Shorter video more educational !
    Galois: Biography of a Great Thinker
    Galois: Biography of a Great Thinker Γ‰variste Galois was a great mathematician who led a short, tempestuous life. He made fundamental contributions to a number of fields in math, including...


    Dean Owen
    26/10/2016 #2 Dean Owen
    A fascinating tragedy. I fondly recall using my short term memory to memorise the quadratic formula before an exam. I can't imagine how traumatised I would be to delve into cubic, let alone quartic equations.
    CityVP 🐝 Manjit
    26/10/2016 #1 CityVP 🐝 Manjit
    If Galois Theory http://www.math3ma.com/mathema/2015/8/31/what-is-galois-theory-anyway is a difficult proposition for mathematicians, think what it is for ordinary mortals like us who have not even confronted math anxiety http://www.vocativ.com/229603/math-anxiety-phobia/
  20. Flavio πŸ‡―πŸ‡΅ Souza 🐝
    The mystery of 0.577 - Numberphile
    The mystery of 0.577 - Numberphile The harmonic series and the elusive Euler–Mascheroni constant. Featuring Dr Tony Padilla. Audible: http://www.audible.com/numberphile Extra footage:...
  21. Lada 🏑 Prkic
    The National Gallery in London β–Ί An example of the use of the golden ratio (Ο†) in architecture.
    The mathematics of the golden ratio and of the Fibonacci sequence are interconnected. That is why the golden ratio is typically presented as a Fibonacci spiral which approximates the golden spiral, using Fibonacci sequence square sizes up to 34.
    More on β†’ http://mathforum.org/dr.math/faq/faq.golden.ratio.html
    Lada 🏑 Prkic


    Richard Buse
    21/09/2016 #9 Richard Buse
    Thanks for sharing this, @Lada 🏑 Prkic. Seeing wretched (but rather expensive) McMansions should remind us why these concerns are crucial.
    Lada 🏑 Prkic
    21/09/2016 #8 Lada 🏑 Prkic
    #5 Not just you, Deb. I also like β€œto seeβ€œ what I am learning and use images, charts and colours. Because of that I like math and geometry.
    Deb 🐝 Helfrich
    20/09/2016 #7 Deb 🐝 Helfrich
    #6 Does the buffer layer have a golden ratio, @Franci🐝Eugenia Hoffman, beBee Brand Ambassador? I bet it does...
    Franci🐝Eugenia Hoffman, beBee Brand Ambassador
    20/09/2016 #6 Franci🐝Eugenia Hoffman, beBee Brand Ambassador
    I love information related to architecture. When I was in high school I remember writing an essay on architecture. And during my underwriting days, I enjoyed learning about building construction.
    Deb 🐝 Helfrich
    20/09/2016 #5 Deb 🐝 Helfrich
    I appreciate how you are bringing these math concepts into focus for those of us who are a little more comfortable with pictures, @Lada 🏑 Prkic
    Lada 🏑 Prkic
    20/09/2016 #4 Lada 🏑 Prkic
    #3 Maybe I'm a little biased when it comes to mathematics but I see its beauty everywhere around us. :-) Thank you Julie!
    Lada 🏑 Prkic
    20/09/2016 #2 Lada 🏑 Prkic
    #1 An educational and informative post is my favourite reading. Thanks @Laurent BOSCHERINI, glad you found it interesting! This topic is related to my buzz Geometry, All Around Us β†’ https://www.bebee.com/producer/@lada-prkic/geometry-all-around-us
    Laurent Boscherini
    20/09/2016 #1 Anonymous
    Thank you @Lada 🏑 Prkic for sharing this excellent post. An amazing educational and insightful reading.
  22. Lada 🏑 Prkic
    Mathematics can mimic real life!
    The shapes of natural trees with their branches are fractal-like and self-similar in pattern. This mathematical tree is also a self-similar tree with branches scaling according to the golden ratio β–Ί Ξ¦.
    Lada 🏑 Prkic


    Lada 🏑 Prkic
    15/09/2016 #15 Lada 🏑 Prkic
    Thank you for the share in The Tree of Life hive, dear Sara. What a great quote about education in the hive picture, "Education is only a ladder to gather fruit from the tree of knowledge, not the fruit itself." I see that you are a certificated tree hugger. :-)
    DILMA BALBI -πŸ“ƒ Engenharia&gestΓ£o
    14/09/2016 #14 DILMA BALBI -πŸ“ƒ Engenharia&gestΓ£o
    How can't be impressed with the this tree's beauty? Thanks for sharing @Lada Prkic
    Ali 🐝 Anani, Brand Ambassador @beBee
    14/09/2016 #12 Ali 🐝 Anani, Brand Ambassador @beBee
    #11 I am impatiently awaiting for it and to then upgrade my ambassador tree dear @Lada 🏑 Prkic
    Lada 🏑 Prkic
    14/09/2016 #11 Lada 🏑 Prkic
    #7 I forgot dear @Ali 🐝 Anani, Brand Ambassador @beBee, you have already made the ambassador tree in your post The Fractal Ambassador.; a lung-like tree in a ternary growth pattern. We'll just wait for the next iteration. :-)
    Ali 🐝 Anani, Brand Ambassador @beBee
    14/09/2016 #7 Ali 🐝 Anani, Brand Ambassador @beBee
    #6 Just to keep the readers informed, the link to the fractal ambassador tree is https://www.bebee.com/producer/@ali-anani/the-fractal-ambassador
    Lada 🏑 Prkic
    14/09/2016 #6 Lada 🏑 Prkic
    #2 An interesting thought of the ambassador tree, Ali @Ali 🐝 Anani, Brand Ambassador @beBee! It might look like the family fractal tree.
    Ali 🐝 Anani, Brand Ambassador @beBee
    14/09/2016 #5 Ali 🐝 Anani, Brand Ambassador @beBee
    #3 You are an excellent information-carrier and presenter @Lada 🏑 Prkic. Very informative buzz this is.
    Lada 🏑 Prkic
    14/09/2016 #4 Lada 🏑 Prkic
    #2 No, they are not mine but from the linked article. I often read Wolfram blog with so many amazing and well explained articles.
    🐝 Fatima G. Williams
    14/09/2016 #3 🐝 Fatima G. Williams
    I love mathematics but if we could learn through examples like this I would have never stopped. It's amazing just to look at this tree and it's connection with the golden ratio.
    Ali 🐝 Anani, Brand Ambassador @beBee
    14/09/2016 #2 Ali 🐝 Anani, Brand Ambassador @beBee
    #1 Beautiful golden ratios @Lada 🏑 Prkic- are these your calculations because I haven't seen such depth of showing fractal trees. The edges look like those of Sierpinski triangle . Leaves that look like snowflakes. I wonder then how the ambassdor tree would look like!
    Lada 🏑 Prkic
    13/09/2016 #1 Lada 🏑 Prkic
    Is there any correlation between this mathematical tree and @Ali 🐝 Anani, Brand Ambassador @beBee 's trees?
  23. ProducerPraveen Raj Gullepalli
    The Form Fractal
    The Form FractalFractals are the manifested Form of the Universe. Ubiquitous. Omnipresent. Self-evident in the micro-verse as well as the macro-verse. Endlessly replicating in the microcosm and the macrocosm. The building blocks of the material universe.From...


    Praveen Raj Gullepalli
    12/09/2016 #5 Praveen Raj Gullepalli
    #4 Gracias @Ben Pinto! The mystery continues to unravel fractal by fractal... on our Fractal Hive!
    Ben Pinto
    12/09/2016 #4 Ben Pinto
    Shared to a triad of hives: Mathematics, Science and Mathematics, Universe...,
    Praveen Raj Gullepalli
    25/08/2016 #3 Praveen Raj Gullepalli
    #1 Dear @Ali 🐝 Anani, Brand Ambassador @beBee...absolutely relieved to know I was on the right track, as I had promised something worthy of your attention...in the continued fractal quest. And thank you so much for those words of appreciation...truly ! Yes Sir, I will be reading your latest shortly...also wanted to convey that the earlier buzz on Form has a twin too...a smaller offshoot, a rider perhaps, that sprung up from fractal vortex while I was connecting the dots. WIP. Shall share it soon.
    Pascal Derrien
    25/08/2016 #2 Pascal Derrien
    Fractal it is in our fractalaxy ✈
    Ali 🐝 Anani, Brand Ambassador @beBee
    25/08/2016 #1 Ali 🐝 Anani, Brand Ambassador @beBee
    Dear @Praveen Raj Gullepalli- my friend you buzzed my heart out (to steal the expression of the adorable @Pamela 🐝 Williams). This is a fractal buzz and by this I mean of beauty. The beauty of of your dedication, the beauty of your thinking and the beauty of your perspective to fractals. You wrote "Where the Fractals interface smoothly, they merge to form a seamless fabric of tangible, harmonic expression and being. Where they do not, there is Chaos". This requires deep thinking, but I love your saying how the intangible leads to the tangible.
    I am so glad that I have my name mentioned in your beautiful post. Equally pleases I am as we both wrote about fractals today. See my friend how your buzz integrate with my buzz of today "The Fractal AMbassador" and you shall be pleased.
  24. ProducerBen Pinto

    Ben Pinto

    √1ΒΌ + Β½ = Ο•
    √1ΒΌ + Β½ = Ο•This little buzz was inspired by a BIG honey production by queen bee, Lada Prkic. Following is the link to her fantastic research paper. Either way please return to the little gem below.Lada Prkic's research paper "Geometry All Around Us"Thank you,...


    Zacharias 🐝 Voulgaris
    16/03/2017 #27 Zacharias 🐝 Voulgaris
    (1+√5) / 2 = 1/2 + (√5)/ 2 = 0.5 + √5 / √4 = 0.5 + √(5/4) = 0.5 + √1.25

    The golden ratio is cool, but personally I find that the platinum ratio is even more universal, though it makes its appearance more in formulas than actual phenomena. It is basically the constant of equilibrium in a line segment divided harmonically and has the approx. value of 0.707. Unfortunately no-one has recognized it as a mathematical constant for some reason, but all mathematicians are aware of its value.
    Ben Pinto
    16/03/2017 #26 Ben Pinto
    #22 and surrounded by all these Roman numerals FΓ©LIX (59.)
    Ben Pinto
    16/03/2017 #25 Ben Pinto
    #21 Dilma, it impresses me that beBee breathes new life into old articles by way of affinity. With all these math minds perhaps we should call it the infinity network.
    Ben Pinto
    16/03/2017 #24 Ben Pinto
    #20 great to have you back from your hiatus,@Margaret Aranda, MD, PhD though i have been busy too!
    Ben Pinto
    16/03/2017 #23 Ben Pinto
    #19 thank you for keeping this article moving!
    FΓ©lix Alday
    16/03/2017 #22 FΓ©lix Alday
    It seems like we are surrounded by Fibonacci numbers, thanks for your very creative post, cheers
    Margaret Aranda, MD, PhD
    11/09/2016 #20 Margaret Aranda, MD, PhD
    #7 #13 Great Job on adding the link. I also try to add links in my emails, to facilitate immediate action. Works! ;)
    Lada 🏑 Prkic
    11/09/2016 #19 Lada 🏑 Prkic
    #18 You are right, Ben. I am just saying that these expressions of Ξ¦ are the solutions to quadratic equation Ξ¦^ - Ξ¦ – 1 = 0.
    Phi also occurs in geometry of a regular pentagon. Connecting all the points of the pentagon and forming 5-pointed star we have triangles with sides 1 and Ξ¦, and angles of 36 (18), 54 and 108 (54) degrees.
    Based on the relations between sides and angles of these triangles we have following expressions for Ξ¦:
    Ξ¦ = sin (54Β°) x 2 or cos (36Β°) x 2
    Ξ¦ = 1/ (2 x sin 18Β°) or 1/ (2 x cos 72Β°)

    Perhaps we can create a new hive about golden ratio, Fibonacci numbers and other related subjects. 😊
    Ben Pinto
    11/09/2016 #18 Ben Pinto
    #17 #16 Lada Prkic. Using my formula nets the same digits.
    Lada 🏑 Prkic
    10/09/2016 #17 Lada 🏑 Prkic
    #14 @Ben Pinto, tag was not working, it's OK now. I am also amazed by the golden ratio.
    Lada 🏑 Prkic
    10/09/2016 #16 Lada 🏑 Prkic
    Dear Pinto, exact value of Ο• is (1+√5) / 2, i.e., 1.6180339887...... . This is the solution to quadratic equation Ο•^- Ο• -1=0 derived from specific ratio between two numbers a/b = (a+b)/a = Ο•
    For more detailed explanation please see the link in the buzz http://mathworld.wolfram.com/GoldenRatio.html
    Ben Pinto
    10/09/2016 #14 Ben Pinto
    #12 Your article was brilliantly executed like a fine play, @Lada 🏑 Prkic. The capture of all the information and distinctive use of each medium of eJournalism was a brilliant way to convey the subject matter while bringing in the reader/viewer.
    Ben Pinto
    10/09/2016 #13 Ben Pinto
    #8 Thank you @Donna-Luisa Eversley. While making some other edits, I have added the link to the hive called 'Pin' at the bottom of this article, along with a little puzzle challenge just for fun.
    Lada 🏑 Prkic
    10/09/2016 #12 Lada 🏑 Prkic
    I am deeply touched by your gesture, dear @Ben Pinto. I'll comment later on this topic.
    Ben Pinto
    10/09/2016 #11 Ben Pinto
    #10 me too Paul. One year I made the math teacher a dealio "I will copy the math homework answers on the chalkboard for you, and in turn, I am excused from doing said homework." At the time I didn't realize that this manupulation was not really benefitting me, but was only Benny-fitting me.
    Paul Walters
    10/09/2016 #10 Paul Walters
    @Ben Pinto & @Lada 🏑 Prkic I do so wish I had paid attention at school when the maths class was on !!!!
    Ben Pinto
    10/09/2016 #7 Ben Pinto
    #5 hi @Margaret Aranda, MD, PhD, since you area big Pinterest fan I thought you might like PinTo.Rest. It is really just the hive called Pin, and it is open to anyone that wants to use it too. @Sil Pinto, @Marcelo Pinto, @Sonia Pinto
    Ben Pinto
    10/09/2016 #6 Ben Pinto
    #2 that is a great idea to share the links. I will on my next edit day.
    Margaret Aranda, MD, PhD
    10/09/2016 #5 Margaret Aranda, MD, PhD
    Ta-Da ! @Ben Pinto, @Lada 🏑 Prkic: Pinned to the Shared beBee board: https://www.pinterest.com/pin/425097652311732367/
  25. ProducerLada 🏑 Prkic
    Geometry, All Around Us
    Geometry, All Around UsGeometry is all around us, and we are surrounded by myriads of geometric forms, shapes and patterns. Every living organism and all non-living things have an element of geometry within. Understanding the natural world requires an understanding of...


    Lada 🏑 Prkic
    06/04/2017 #77 Lada 🏑 Prkic
    #76 Thank you so much, @Joanne Gardocki. A comment like this one is the best reason for all the effort and time put into writing the post. :-)
    Joanne Gardocki
    05/04/2017 #76 Joanne Gardocki
    Beautiful, simply beautiful. The article is so engaging and elegant. I remember loving Euclidean geometry with all the axioms and theorems. Thank you for rekindling that enjoyment.
    Paul Walters
    09/02/2017 #75 Paul Walters
    @Lada 🏑 Prkic You know, I live with a really clever woman, a really, really clever woman. Was just thinking after I read your piece, ( had to read it twice ) if you were in our immediate circle of friends it would be slightly intimidating...although I could make the tea while you two chat !
    Lada 🏑 Prkic
    06/01/2017 #74 Lada 🏑 Prkic
    #73 Thank you dear @Ali 🐝 Anani, Brand Ambassador @beBee for commenting again. That means a lot, especially coming from such a great thinker.
    Ali 🐝 Anani, Brand Ambassador @beBee
    06/01/2017 #73 Ali 🐝 Anani, Brand Ambassador @beBee
    ALthough I read this buzz before reading it again sounded as if I am reading it for the first time. You are amazing @Lada 🏑 Prkic with your explanations and the way you move your thoughts. As a chemist, I had to do a lot with polygon such as polyhedrons and octahedrons and then on fractals. As much as I knew about them, still your buzz added many new perspectives. Thank you for sharing this lovely buzz.
    Lada 🏑 Prkic
    06/01/2017 #72 Lada 🏑 Prkic
    #70 @Ginger A Christmas, I am amazed at your comment. You can really think geometrically. πŸ™‚
    Many students always ask themselves the same question that you asked, β€œWhen am I going to use this in my life?” But you had a very wise teacher whose answer I really liked, β€œThink further, Miss, think further.β€œ I will remember this. Thank you for sharing this post on other social media. I've started blogging just recently and don't write as much as I would like. This is the post I like the most.
    Ginger A Christmas
    03/01/2017 #71 Ginger A Christmas
    @Lada 🏑 Prkic I was compelled to share this buzz on LinkedIn, Twitter, and Facebook. Just for starters.
    Ginger A Christmas
    03/01/2017 #70 Ginger A Christmas
    Lada, I loved your article on so many levels. As a student, I inhaled geometry and embraced its logic, form and theorem. I remember standing before the chalkboard utterly fascinated as I completed a rather complex proof. "Oh," I said ecstatically to my professor, "where will I ever use these in my life? A theorem for milk or a bar of soap?" "Think further, Miss, think further,". I remember being mesmerized that there WAS a "further". As I read your clear and captivating article and all the degrees and angles and beauty of precision and overlap of disciplines washed over me, I was warm inside, thinking of the possibilities in quantum physics (my personal favorite) and the miracle of possibilities depending on the realm. And with a deeply satisfied sigh, I reminded myself to keep your article, the stunning video, the concept of overlap, particularly in applying the geometric perplexities and simplicity to nesting to the discipline of human relationships. I came away muttering to myself, "Think Further, Miss. Think Further. "
    Lada 🏑 Prkic
    12/12/2016 #69 Lada 🏑 Prkic
    #68 Thank you Ben. It is one of the best compliments I received on my article. :)
    Ben Pinto
    12/12/2016 #68 Ben Pinto
    I can never tire of this article, it is like a great library book!
    Milos Djukic
    04/11/2016 #67 Anonymous
    #65 My pleasure @Lada 🏑 Prkic and @Ben Pinto :) Thanks!
    Ben Pinto
    03/11/2016 #66 Ben Pinto
    Yes Milos Rocks!!!!! 65
    Lada 🏑 Prkic
    03/11/2016 #65 Lada 🏑 Prkic
    Milos, thanks for making others, who may have missed this post, aware of the beauty of geometry.
    Lada 🏑 Prkic
    31/10/2016 #64 Lada 🏑 Prkic
    #63 Glad you like it Margaret. The new post about "human forms" is already taking shape in my mind.
    Margaret Aranda, MD, PhD
    30/10/2016 #63 Margaret Aranda, MD, PhD
    One of the best Buzzes! Lovin' geometry and Fractals. Nice work, @Lada Prkic definitely keep up with the application to 'human forms' as @Ali 🐝 Anani, Brand Ambassador @beBee, Ph.D. so encourages you as this is an intriguing minefield of exploration.
    Lada 🏑 Prkic
    25/09/2016 #61 Lada 🏑 Prkic
    #60 I shall try. Am really intrigued by this idea.
    Ali 🐝 Anani, Brand Ambassador @beBee
    25/09/2016 #60 Ali 🐝 Anani, Brand Ambassador @beBee
    #59 The greatest love is towards the greatest reality- people. This is why I attempt to use science to explain human-related activities. Please find the time to write your promising buzz @Lada 🏑 Prkic
    Lada 🏑 Prkic
    25/09/2016 #59 Lada 🏑 Prkic
    #57 Thank you very much! You beautifully compiled other people's thoughts, but your idea is a seed for all these thoughts. :) I'd love to have the time to write a post about shapes and colours of humans. I am just writing another buzz related to geometry, which is obviously my first love.
    Ali 🐝 Anani, Brand Ambassador @beBee
    25/09/2016 #57 Ali 🐝 Anani, Brand Ambassador @beBee
    #55 Beautiful your comment is dear @Lada 🏑 Prkic as well as your sharing on LI. You add new colors of thinking to the presentation. This presentation is in reality a compilation of beautiful minds.
    Lada 🏑 Prkic
    25/09/2016 #55 Lada 🏑 Prkic
    #40 It took me a while to comment on your SlideShare presentation dear @Ali 🐝 Anani, Brand Ambassador @beBee, http://www.slideshare.net/hudali15/thinking-shapes-and-colors
    I tried to contribute in a valuable way. Hope you find it worthy. :-)
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