npr:
The most graceful falling bear we’ve ever seen.
The bear landed safely on the padded mat.
“If a bear fell in the forest would anybody hear it?”
Jack Nicholson, Stanley Kubrick, and Shelley Duvall on the set of The Shining (January, 1979) (via)
![beyondneptune:
Ten-Minute Art School Course
12 Things You Were Not Taught in School About Creative Thinking
by Michael Michalko
1. You are creative. The artist is not a special person, each one of us is a special kind of artist. Every one of us is born a creative, spontaneous thinker. The only difference between people who are creative and people who are not is a simple belief. Creative people believe they are creative. People who believe they are not creative, are not. Once you have a particular identity and set of beliefs about yourself, you become interested in seeking out the skills needed to express your identity and beliefs. This is why people who believe they are creative become creative. If you believe you are not creative, then there is no need to learn how to become creative and you don’t. The reality is that believing you are not creative excuses you from trying or attempting anything new. When someone tells you that they are not creative, you are talking to someone who has no interest and will make no effort to be a creative thinker.
2. Creative thinking is work. You must have passion and the determination to immerse yourself in the process of creating new and different ideas. Then you must have patience to persevere against all adversity. All creative geniuses work passionately hard and produce incredible numbers of ideas, most of which are bad. In fact, more bad poems were written by the major poets than by minor poets. Thomas Edison created 3000 different ideas for lighting systems before he evaluated them for practicality and profitability. Wolfgang Amadeus Mozart produced more than six hundred pieces of music, including forty-one symphonies and some forty-odd operas and masses, during his short creative life. Rembrandt produced around 650 paintings and 2,000 drawings and Picasso executed more than 20,000 works. Shakespeare wrote 154 sonnets. Some were masterpieces, while others were no better than his contemporaries could have written, and some were simply bad.
3. You must go through the motions of being creative. When you are producing ideas, you are replenishing neurotransmitters linked to genes that are being turned on and off in response to what your brain is doing, which in turn is responding to challenges. When you go through the motions of trying to come up with new ideas, you are energizing your brain by increasing the number of contacts between neurons. The more times you try to get ideas, the more active your brain becomes and the more creative you become. If you want to become an artist and all you did was paint a picture every day, you will become an artist. You may not become another Vincent Van Gogh, but you will become more of an artist than someone who has never tried.
4. Your brain is not a computer. Your brain is a dynamic system that evolves its patterns of activity rather than computes them like a computer. It thrives on the creative energy of feedback from experiences real or fictional. You can synthesize experience; literally create it in your own imagination. The human brain cannot tell the difference between an “actual” experience and an experience imagined vividly and in detail. This discovery is what enabled Albert Einstein to create his thought experiments with imaginary scenarios that led to his revolutionary ideas about space and time. One day, for example, he imagined falling in love. Then he imagined meeting the woman he fell in love with two weeks after he fell in love. This led to his theory of acausality. The same process of synthesizing experience allowed Walt Disney to bring his fantasies to life.
5. There is no one right answer. Reality is ambiguous. Aristotle said it is either A or not-A. It cannot be both. The sky is either blue or not blue. This is black and white thinking as the sky is a billion different shades of blue. A beam of light is either a wave or not a wave (A or not-A). Physicists discovered that light can be either a wave or particle depending on the viewpoint of the observer. The only certainty in life is uncertainty. When trying to get ideas, do not censor or evaluate them as they occur. Nothing kills creativity faster than self-censorship of ideas while generating them. Think of all your ideas as possibilities and generate as many as you can before you decide which ones to select. The world is not black or white. It is grey.
6. Never stop with your first good idea. Always strive to find a better one and continue until you have one that is still better. In 1862, Phillip Reis demonstrated his invention which could transmit music over the wires. He was days away from improving it into a telephone that could transmit speech. Every communication expert in Germany dissuaded him from making improvements, as they said the telegraph is good enough. No one would buy or use a telephone. Ten years later, Alexander Graham Bell patented the telephone. Spencer Silver developed a new adhesive for 3M that stuck to objects but could easily be lifted off. It was first marketed as a bulletin board adhesive so the boards could be moved easily from place to place. There was no market for it. Silver didn’t discard it. One day Arthur Fry, another 3M employee, was singing in the church’s choir when his page marker fell out of his hymnal. Fry coated his page markers with Silver’s adhesive and discovered the markers stayed in place, yet lifted off without damaging the page. Hence the Post-it Notes were born. Thomas Edison was always trying to spring board from one idea to another in his work. He spring boarded his work from the telephone (sounds transmitted) to the phonograph (sounds recorded) and, finally, to motion pictures (images recorded).
7. Expect the experts to be negative. The more expert and specialized a person becomes, the more their mindset becomes narrowed and the more fixated they become on confirming what they believe to be absolute. Consequently, when confronted with new and different ideas, their focus will be on conformity. Does it conform with what I know is right? If not, experts will spend all their time showing and explaining why it can’t be done and why it can’t work. They will not look for ways to make it work or get it done because this might demonstrate that what they regarded as absolute is not absolute at all. This is why when Fred Smith created Federal Express, every delivery expert in the U.S. predicted its certain doom. After all, they said, if this delivery concept was doable, the Post Office or UPS would have done it long ago.
8. Trust your instincts. Don’t allow yourself to get discouraged. Albert Einstein was expelled from school because his attitude had a negative effect on serious students; he failed his university entrance exam and had to attend a trade school for one year before finally being admitted; and was the only one in his graduating class who did not get a teaching position because no professor would recommend him. One professor said Einstein was “the laziest dog” the university ever had. Beethoven’s parents were told he was too stupid to be a music composer. Charles Darwin’s colleagues called him a fool and what he was doing “fool’s experiments” when he worked on his theory of biological evolution. Walt Disney was fired from his first job on a newspaper because “he lacked imagination.” Thomas Edison had only two years of formal schooling, was totally deaf in one ear and was hard of hearing in the other, was fired from his first job as a newsboy and later fired from his job as a telegrapher; and still he became the most famous inventor in the history of the U.S.
9. There is no such thing as failure. Whenever you try to do something and do not succeed, you do not fail. You have learned something that does not work. Always ask “What have I learned about what doesn’t work?”, “Can this explain something that I didn’t set out to explain?”, and “What have I discovered that I didn’t set out to discover?” Whenever someone tells you that they have never made a mistake, you are talking to someone who has never tried anything new.
10. You do not see things as they are; you see them as you are. Interpret your own experiences. All experiences are neutral. They have no meaning. You give them meaning by the way you choose to interpret them. If you are a priest, you see evidence of God everywhere. If you are an atheist, you see the absence of God everywhere. IBM observed that no one in the world had a personal computer. IBM interpreted this to mean there was no market. College dropouts, Bill Gates and Steve Jobs, looked at the same absence of personal computers and saw a massive opportunity. Once Thomas Edison was approached by an assistant while working on the filament for the light bulb. The assistant asked Edison why he didn’t give up. “After all,” he said, “you have failed 5000 times.” Edison looked at him and told him that he didn’t understand what the assistant meant by failure, because, Edison said, “I have discovered 5000 things that don’t work.” You construct your own reality by how you choose to interpret your experiences.
11. Always approach a problem on its own terms. Do not trust your first perspective of a problem as it will be too biased toward your usual way of thinking. Always look at your problem from multiple perspectives. Always remember that genius is finding a perspective no one else has taken. Look for different ways to look at the problem. Write the problem statement several times using different words. Take another role, for example, how would someone else see it, how would Jay Leno, Pablo Picasso, George Patton see it? Draw a picture of the problem, make a model, or mold a sculpture. Take a walk and look for things that metaphorically represent the problem and force connections between those things and the problem (How is a broken store window like my communications problem with my students?) Ask your friends and strangers how they see the problem. Ask a child. How would a ten year old solve it? Ask a grandparent. Imagine you are the problem. When you change the way you look at things, the things you look at change.
12. Learn to think unconventionally. Creative geniuses do not think analytically and logically. Conventional, logical, analytical thinkers are exclusive thinkers which means they exclude all information that is not related to the problem. They look for ways to eliminate possibilities. Creative geniuses are inclusive thinkers which mean they look for ways to include everything, including things that are dissimilar and totally unrelated. Generating associations and connections between unrelated or dissimilar subjects is how they provoke different thinking patterns in their brain. These new patterns lead to new connections which give them a different way to focus on the information and different ways to interpret what they are focusing on. This is how original and truly novel ideas are created. Albert Einstein once famously remarked “Imagination is more important than knowledge. For knowledge is limited to all we now know and understand, while imagination embraces the entire world, and all there ever will be to know and understand.”
Creativity is paradoxical. To create, a person must have knowledge but forget the knowledge, must see unexpected connections in things but not have a mental disorder, must work hard but spend time doing nothing as information incubates, must create many ideas yet most of them are useless, must look at the same thing as everyone else, yet see something different, must desire success but embrace failure, must be persistent but not stubborn, and must listen to experts but know how to disregard them.
[via]](http://24.media.tumblr.com/tumblr_m2khchuSgx1qa32ieo1_500.jpg)
Ten-Minute Art School Course
12 Things You Were Not Taught in School About Creative Thinking
1. You are creative. The artist is not a special person, each one of us is a special kind of artist. Every one of us is born a creative, spontaneous thinker. The only difference between people who are creative and people who are not is a simple belief. Creative people believe they are creative. People who believe they are not creative, are not. Once you have a particular identity and set of beliefs about yourself, you become interested in seeking out the skills needed to express your identity and beliefs. This is why people who believe they are creative become creative. If you believe you are not creative, then there is no need to learn how to become creative and you don’t. The reality is that believing you are not creative excuses you from trying or attempting anything new. When someone tells you that they are not creative, you are talking to someone who has no interest and will make no effort to be a creative thinker.
2. Creative thinking is work. You must have passion and the determination to immerse yourself in the process of creating new and different ideas. Then you must have patience to persevere against all adversity. All creative geniuses work passionately hard and produce incredible numbers of ideas, most of which are bad. In fact, more bad poems were written by the major poets than by minor poets. Thomas Edison created 3000 different ideas for lighting systems before he evaluated them for practicality and profitability. Wolfgang Amadeus Mozart produced more than six hundred pieces of music, including forty-one symphonies and some forty-odd operas and masses, during his short creative life. Rembrandt produced around 650 paintings and 2,000 drawings and Picasso executed more than 20,000 works. Shakespeare wrote 154 sonnets. Some were masterpieces, while others were no better than his contemporaries could have written, and some were simply bad.
3. You must go through the motions of being creative. When you are producing ideas, you are replenishing neurotransmitters linked to genes that are being turned on and off in response to what your brain is doing, which in turn is responding to challenges. When you go through the motions of trying to come up with new ideas, you are energizing your brain by increasing the number of contacts between neurons. The more times you try to get ideas, the more active your brain becomes and the more creative you become. If you want to become an artist and all you did was paint a picture every day, you will become an artist. You may not become another Vincent Van Gogh, but you will become more of an artist than someone who has never tried.
4. Your brain is not a computer. Your brain is a dynamic system that evolves its patterns of activity rather than computes them like a computer. It thrives on the creative energy of feedback from experiences real or fictional. You can synthesize experience; literally create it in your own imagination. The human brain cannot tell the difference between an “actual” experience and an experience imagined vividly and in detail. This discovery is what enabled Albert Einstein to create his thought experiments with imaginary scenarios that led to his revolutionary ideas about space and time. One day, for example, he imagined falling in love. Then he imagined meeting the woman he fell in love with two weeks after he fell in love. This led to his theory of acausality. The same process of synthesizing experience allowed Walt Disney to bring his fantasies to life.
5. There is no one right answer. Reality is ambiguous. Aristotle said it is either A or not-A. It cannot be both. The sky is either blue or not blue. This is black and white thinking as the sky is a billion different shades of blue. A beam of light is either a wave or not a wave (A or not-A). Physicists discovered that light can be either a wave or particle depending on the viewpoint of the observer. The only certainty in life is uncertainty. When trying to get ideas, do not censor or evaluate them as they occur. Nothing kills creativity faster than self-censorship of ideas while generating them. Think of all your ideas as possibilities and generate as many as you can before you decide which ones to select. The world is not black or white. It is grey.
6. Never stop with your first good idea. Always strive to find a better one and continue until you have one that is still better. In 1862, Phillip Reis demonstrated his invention which could transmit music over the wires. He was days away from improving it into a telephone that could transmit speech. Every communication expert in Germany dissuaded him from making improvements, as they said the telegraph is good enough. No one would buy or use a telephone. Ten years later, Alexander Graham Bell patented the telephone. Spencer Silver developed a new adhesive for 3M that stuck to objects but could easily be lifted off. It was first marketed as a bulletin board adhesive so the boards could be moved easily from place to place. There was no market for it. Silver didn’t discard it. One day Arthur Fry, another 3M employee, was singing in the church’s choir when his page marker fell out of his hymnal. Fry coated his page markers with Silver’s adhesive and discovered the markers stayed in place, yet lifted off without damaging the page. Hence the Post-it Notes were born. Thomas Edison was always trying to spring board from one idea to another in his work. He spring boarded his work from the telephone (sounds transmitted) to the phonograph (sounds recorded) and, finally, to motion pictures (images recorded).
7. Expect the experts to be negative. The more expert and specialized a person becomes, the more their mindset becomes narrowed and the more fixated they become on confirming what they believe to be absolute. Consequently, when confronted with new and different ideas, their focus will be on conformity. Does it conform with what I know is right? If not, experts will spend all their time showing and explaining why it can’t be done and why it can’t work. They will not look for ways to make it work or get it done because this might demonstrate that what they regarded as absolute is not absolute at all. This is why when Fred Smith created Federal Express, every delivery expert in the U.S. predicted its certain doom. After all, they said, if this delivery concept was doable, the Post Office or UPS would have done it long ago.
8. Trust your instincts. Don’t allow yourself to get discouraged. Albert Einstein was expelled from school because his attitude had a negative effect on serious students; he failed his university entrance exam and had to attend a trade school for one year before finally being admitted; and was the only one in his graduating class who did not get a teaching position because no professor would recommend him. One professor said Einstein was “the laziest dog” the university ever had. Beethoven’s parents were told he was too stupid to be a music composer. Charles Darwin’s colleagues called him a fool and what he was doing “fool’s experiments” when he worked on his theory of biological evolution. Walt Disney was fired from his first job on a newspaper because “he lacked imagination.” Thomas Edison had only two years of formal schooling, was totally deaf in one ear and was hard of hearing in the other, was fired from his first job as a newsboy and later fired from his job as a telegrapher; and still he became the most famous inventor in the history of the U.S.
9. There is no such thing as failure. Whenever you try to do something and do not succeed, you do not fail. You have learned something that does not work. Always ask “What have I learned about what doesn’t work?”, “Can this explain something that I didn’t set out to explain?”, and “What have I discovered that I didn’t set out to discover?” Whenever someone tells you that they have never made a mistake, you are talking to someone who has never tried anything new.
10. You do not see things as they are; you see them as you are. Interpret your own experiences. All experiences are neutral. They have no meaning. You give them meaning by the way you choose to interpret them. If you are a priest, you see evidence of God everywhere. If you are an atheist, you see the absence of God everywhere. IBM observed that no one in the world had a personal computer. IBM interpreted this to mean there was no market. College dropouts, Bill Gates and Steve Jobs, looked at the same absence of personal computers and saw a massive opportunity. Once Thomas Edison was approached by an assistant while working on the filament for the light bulb. The assistant asked Edison why he didn’t give up. “After all,” he said, “you have failed 5000 times.” Edison looked at him and told him that he didn’t understand what the assistant meant by failure, because, Edison said, “I have discovered 5000 things that don’t work.” You construct your own reality by how you choose to interpret your experiences.
11. Always approach a problem on its own terms. Do not trust your first perspective of a problem as it will be too biased toward your usual way of thinking. Always look at your problem from multiple perspectives. Always remember that genius is finding a perspective no one else has taken. Look for different ways to look at the problem. Write the problem statement several times using different words. Take another role, for example, how would someone else see it, how would Jay Leno, Pablo Picasso, George Patton see it? Draw a picture of the problem, make a model, or mold a sculpture. Take a walk and look for things that metaphorically represent the problem and force connections between those things and the problem (How is a broken store window like my communications problem with my students?) Ask your friends and strangers how they see the problem. Ask a child. How would a ten year old solve it? Ask a grandparent. Imagine you are the problem. When you change the way you look at things, the things you look at change.
12. Learn to think unconventionally. Creative geniuses do not think analytically and logically. Conventional, logical, analytical thinkers are exclusive thinkers which means they exclude all information that is not related to the problem. They look for ways to eliminate possibilities. Creative geniuses are inclusive thinkers which mean they look for ways to include everything, including things that are dissimilar and totally unrelated. Generating associations and connections between unrelated or dissimilar subjects is how they provoke different thinking patterns in their brain. These new patterns lead to new connections which give them a different way to focus on the information and different ways to interpret what they are focusing on. This is how original and truly novel ideas are created. Albert Einstein once famously remarked “Imagination is more important than knowledge. For knowledge is limited to all we now know and understand, while imagination embraces the entire world, and all there ever will be to know and understand.”
Creativity is paradoxical. To create, a person must have knowledge but forget the knowledge, must see unexpected connections in things but not have a mental disorder, must work hard but spend time doing nothing as information incubates, must create many ideas yet most of them are useless, must look at the same thing as everyone else, yet see something different, must desire success but embrace failure, must be persistent but not stubborn, and must listen to experts but know how to disregard them.
[via]
1910’s-era movie theater etiquette Public Service Announcements (via 1,2)
Most early movie theaters had only one projector so “etiquette slides” were used to divert the audience while reels were being changed. These glass slides often featured lighthearted instructions for proper behavior while viewing a film.
npr:
Live Wind Map Shows Flow Patterns
I get kind of giddy whenever I see a tweet from Martin Wattenberg and Fernanda Viegas. They rarely tweet, but when they do it’s usually because they’ve released a new project and they always announce it simultaneously. Their latest piece shows live wind patterns, based on data from the National Digital Forecast Database. It’s beautiful to look at.
Incredible.
Whether or not you know about or care to use the mathematical coordinate systems described in the last post, it seems that our eyes and brains already make use of them when seeing and hallucinating. How this is the case will be explained here in some detail. Of course, our senses are intricately correlated with the dynamics of our brains in ways so complex that we can barely understand or even comprehend them at all, but there are still ways to reason and model (however crude they may be) the workings of such phenomenon.
Visual hallucinations are a universal human experience which occur in varying degrees in different circumstances—from when we rub or apply pressure to our eyes to more extreme instances like when we are under the influence of psychoactive drugs. What we “see” when we hallucinate is ultimately a unique subjective experience, but there does seem to be some objective similarities amongst reported hallucinations. Some of these hallucinations appear to be fixed in the visual field and do not change as we look around. Moreover, they can even be experienced when the eye are closed, and have also been reported by people who are blind. This gives reason to believe that the source or cause of these hallucinations may be independent of what we really see and receive as sensory input from the external world, and instead originate on a deeper level within the brain itself.
Studies suggest that a certain region of the brain, the visual cortex (also known as V1), plays a primary role in the processing of visual information. There is a correspondence from what we see in the visual field with our eyes to the neural activity in parts of V1. Spatial input of light and dark on the eyes is translated to “light/dark” regions of high/low neural activity in V1. Basically, images form certain patterns on the retinas of our eyes which are then converted to related patterns on the visual cortex in our brains leading to the perception of the image.
To describe more rigorously the nature of this image translation from the eyes to the brain, we can use mathematics and coordinate systems to define a coordinate mapping between the visual field to the V1 region of the brain. Such a transformation was modeled by J. D. Cowan and G. B, Ermentrout in their 1979 paper “A Mathematical theory of Visual Hallucinations”. A simplified version capturing the essence of their model is described in what fallows.
Interpreting the visual field as a two-dimensional plane, let’s use polar coordinates to label points in the visual field. The center of the visual field is taken as the origin of the coordinate system so that a point P in the visual field is described by a pair of numbers P = ( r , a ), where r is the distance of the point P to the center of the visual field and a is the relative angle the point makes with respect to some fixed axis.
Now we need a way a describe how points in the visual field correspond to points in the V1 region of the brain, but first we need a way to label points in the V1 region. To do this, we model the V1 region as another two-dimensional flat plane. This time, let’s use the normal Cartesian coordinate system to label the points in V1 as pairs of numbers ( x , y ).
The coordinate mapping constructed here will tell us how a point in the visual field, labelled as P = ( r , a ) in polar coordinates, gets translated to the corresponding point in the V1 region of the brain labelled as ( x , y ) in Cartesian coordinates. This ( x , y ) point in V1 is given in terms of the r and a coordinates of the visual field through the relationship
( x , y ) = ( ln r , a ),
where ln r is the natural logarithm of r.
Thus, the point that is given by the polar coordinates ( r , a ) in the visual field is mapped to the corresponding point in V1 whose Cartesian coordinate has a horizontal component of ln r and a vertical component of a. This transformation can be interpreted as log-polar coordinates, and may be recognized as the complex logarithm. We can now use this coordinate transformation to describe the shapes of certain hallucinations.
Normally, we actually receive sensory input through the visual field and corresponding neural patterns are triggered in our brains which result in the perception of whatever we are seeing. The model explained here explains the existence of hallucinations by an opposite mechanism. Without even receiving real sensory input through the visual field, V1 can still be a brain region with high neural activity (perhaps more so when on certain drugs). These patterns of neural activity in V1 may be perceived as if one is actually seeing a pattern in the visual field, but they are really just hallucinations. In the 1920s, psychologist Heinrich Klüver researched himself and others while having ingested mescaline (more info here) in the form of peyote buttons and attempted to classify the visual hallucinations they experienced. The observed hallucinations manifesting themselves as geometrical patterns were classified into four types and were referred to as form constants: 1) tunnels, 2) spirals, 3) cobwebs, and 4) lattices.
The coordinate transformation just described between the visual field and the V1 region of the visual cortex is successful in explaining the occurrence of the form constants.
1) Vertical or horizontal stripes stripes of neural activity on the V1 region may look something like this:
Applying the coordinate transformation in the reverse direction, we see that vertical stripes get mapped to circles in the visual field and horizontal stripes get mapped to rays emanating out from the center of the visual field:
2) Stripes of neural activity in V1 in arbitrary directions such as these diagonals
get mapped to spirals in the visual field:
3) Combinations of stripes such as these vertical and horizontal ones
would then get mapped to patterns that resemble cobwebs:
4) Neural activity in V1 is not limited to stripes. There may be activity with certain lattice symmetries like these checkerboard or honeycomb patterns
which would get mapped to hallucinations that appear like these
This model and these examples are idealized cases, but serve to approximate what may be happening in our brains when certain hallucinations occur. Despite having empirical applications in this context, the coordinate transformation described here can be freely applied to any image resulting in transformed images that still manage to express a psychedelic aesthetic (see here for some examples).
If you ever wondered when or why you would use polar coordinates I hope this post serves as a justifiable application. Conversely, I do not necessarily justify the use of psychedelics to help understand what you are learning in your math lessons.
This post was inspired by these papers, which explain what was attempted here and more in much greater detail:
- “A Mathematical Theory of Visual Hallucinations”
- “Geometric Visual Hallucinations, Euclidean Symmetry and the Functional Architecture of Striate Cortex”
- “A Model for the Origin and Properties of Flicker-Induced Geometric Phosphenes”
Get the Mathematica code for these animations as a CDF file here.
