CoCreatr’s projects Polytopia The human species is rapidly and indisputably moving towards the technological singularity. The cadence of the flow of information and innovation in... The Total Library Text that redefines...Now playingSpaceCollective Where forward thinking terrestrials share ideas and information about the state of the species, their planet and the universe, living the lives of science fiction.Introduction Featuring Powers of Ten by Charles and Ray Eames, based on an idea by Kees Boeke.
In 1997 the superformula was discovered, which solved the problem of the limited symmetry of superellipses and supercircles. Supershapes like pentagons and starfish, triangles and rose sepals, flowers and leaves, can now be described by a single equation, based on the generalization of Lamé's supercircles and superellipses.
The key step from Lamé’s supercircles was to convert the equations to polar coordinates and to add a single parameter for symmetry. It was extended into three dimensions as well.
This discovery was published in the book “Inventing the Circle” (2001, 2003) and as Invited Special Paper in the American Journal of Botany in April 2003. Worldwide awareness was created by websites such as Nature Science update, Science News Online, and Wolfram’s Mathematica website.
Supershapes were introduced later in the field of geometry under the general name of Gielis' curves, surfaces & -transformations, also in higher dimensions.
Superformula was created to have fun with mathematics. Anybody can explore the colorful universe of shapes described by a powerful formula.
The Superformula, or Gielis-formula was first proposed by Johan Gielis. The formula can be used to define a wide range of shapes, including shapes that occur in nature.
When describing shapes in three dimensions, two instances of the formula are applied, each with 6 parameters. This results in a 12 dimensional parameter space in which a multiverse of interesting shapes reside.
The Superformula app is developed as a tool to mine this 12 dimensional parameter space. By swiping your finger, the space is explored, two parameters at a time. The strength of this application comes from the lightning fast calculations used to determine the shapes. The app uses an OpenGL-ES2 vertex shader to compute the shapes on the graphics hardware of the device. This means zero wait, and instant visualization of the Gielis-shape.
"Celui qui vient au monde pour ne rien troubler,
ne mérite ni regards, ni patience."
If I have been able to pioneer over the past four decades it is first and foremost thanks to a few exceptional friends and mentors who have inspired me to go beyond even my wildest dreams, to accept tremendous challenges, to be prepared to risk it all, and yet have the confidence that if everything fails, we still have so many friends that I can slowly rise up to the next occasion.
I am on a mission with passion, inspired by wisdom of science, shaped by the beauty of nature and the arts. No one put me in charge, but me. The state of the world and the plight of billions make it impossible to accept a status quo, or simple an improvement. We need to give ourselves the freedom to go beyond the present, and even change the rules of the game without ever saying that one is bad, believing that everyone without any exception can always do better.
All endeavors are undertaken not to pursue self-enrichment or a satisfaction of the ego, it is a commitment to live life on a path that pursues a sustainable world where we are able to respond to the basic needs of all with what we have. A path that allows us to learn ever more and realize that the only science is a temporary one, and that we are in pursuit of discovery of the web of life.
I did not come to this world to please, and that is why the wise words of René Char motivate me to go beyond reason and yet whenever I am considered unreasonable, there is a grain of self-evidence in my action. And that is why I welcome you with gratitude for entering into the page and sharing with me your patience.
21. Respond to basic needs with what you have, introducing innovations inspired by nature, generating multiple benefits, including jobs and social capital, offering more with less: This is the Blue Economy.
20. Nature searches for economies of scope. One natural innovation carries various benefits for all.
19. In Nature negatives are converted into positives. Problems are opportunities.
The Blue Economy permits to respond to the basic needs of all with what we have. As such, it stands for a new way of designing business: using the resources available in cascading systems, where the waste of one product becomes the input to create a new cash flow. In this way, jobs are created, social capital is built and income rises – while the environment that provides the basis for our lives is no longer strained and polluted. Thus, we can evolve from an economy where the good is expensive, and the bad is cheap, to a system where the good and innovative is affordable.
To achieve this vision, thousands of innovations were screened and hundreds identified which imitate natural ecosystems and their efficiency. 100 of those innovations were presented as a Report to the Club of Rome in 2009. About one third of those 100 innovations has already been implemented in companies around the globe, one third is in prototyping status and one third has been scientifically proven but requires further research to create market-ready products.
Since February 22, 2010, we are presenting one innovation per week including market data and indications of the potential and actual revenue streams. These business cases are distributed via newsletter and can also be found by registering to our community. Our aim is to inspire hundreds, thousands and even millions of entrepreneurs. This community acts as a platform for information and exchange.
Our Vision: to create 100 million sustainable jobs by 2020. Don't wait: act now!
Reductionism is an amazingly powerful strategy for leveraging the work of scientists and for disseminating the results in the form of re-usable models of structure and causality. But for some of the "remaining hard problem domains" such as Life (biology, psychology, ecology, etc), the World (world modeling, economies, sociology), Intelligence (understanding the brain, intelligence, and creating Artificial General Intelligences - AGI) and the problem of determining the semantics of language (e.g. text) Reductionism has failed. I claim that reductionist models cannot be created in these domains (which have been named "Bizarre Domains") and that we must use Model Free (Holistic) Methods for these domains. This has important implications for AGI research strategies.
"AI is the last holdout of pure reductionism, if you will."
AGI: Artificial General Intelligence. In later lectures she uses AN: Artificial iNtuition.
Hans Rosling, genius of data visualization at Gapminder leads us to grasp surprising big data and aim for adequate context. One of his key messages for me: what we can do to effectively help people in one place and condition would not necessarily work well elsewhere. That is why I feel complex adaptive people networks have a growing role in improving the world. Image credit: Gapminder World
A New Direction In AI Research
Monica Anderson proposes adding a new target to ongoing AI research efforts: We need to focus more of our attention on Understanding as opposed to Reasoning. Understanding requires using Model Free Methods. As a bonus towards the end, Ms. Anderson also speculates about the so-called AI singularity and discusses whether SkyNet like scenarios, where computers take over the world, are plausible.
Mechanical manipulation of formulas, even in the most strictly logical contexts require intuition-based guidance in order to progress towards a goal, such as simplification.
Intuition is an invisible but non-mystical process....
Intuition is fallible, that is why it is not a good basis to use in science...
Intuition is the art of guessing wisely, based on a lifetime of gathered experience, stored as patterns...
Does it make sense to you?
Why does the mind enjoy #simplicity? Because once you get it (conceptual understanding), things do get simple.
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SpaceCollective is a joint initiative of filmmaker Rene Daalder and designer Folkert Gorter. Daalder is the project's main author and creator of The Future of Everything. Gorter is the site's interaction designer and the curator of the Gallery. System architecture and technology created by Josh Pangell. The Future of Everything episodes are edited by Aaron Ohlmann and produced by American Scenes Inc; executive producer: Joseph Kaufman.