Recognizing Patterns.
Losing
the ability to recognise patterns.
When
humans first evolved into their present form, they found themselves in
a world where their ability to recognize patterns was essential to
their survival. Early man's ability to recognize
predators, food
and facial expressions was essential to their survival and well being.
Often these important cues and clues were just patterns in the dark or
carefully camoflaged against their backgrounds. Recognition of patterns
is just a refinment or extention
of recognition itself, it was one that increased the posibility of
living well and staving off death. By
comparison with this savage world of the past, the modern world, and
especially the western world of the child, holds no need of
pattern
recognition other than in the recognition of faces and their
expressions. Because of
this lack of need children gradually learn that though pattern
recognition
can be amusing it is not high on their list of important qualities or
abilities they wish to develop. Thus they do not bother to pay close
attention to patterns they are not directed toward and tend to supress
them when they come to mind. Even facial expression is less used by
adults than preverbal children because it becomes less essential for
communication. It follows then, that because
children no longer need this pattern recognition to survive,
most
of them tend to gradually lose this incredable ability. Truth be told
though of all these tools of genius this one may be the one
most humans retain, atleast to some extent.
Genius
and Pattern Recognition.
Great discoveries have usually come
about by means of pattern recognition. It is no surprise then to
discover that the great creative geniuses of the world were all good at
recognizing patterns. Patterns are all around us
hidden in objects, actions and processes. Being able to find these
patterns, see how they continue, see the flaws in them is an essential
prerequisite for creation. People of genius find these patterns
everywhere. The finding of these patterns by geniuses is an exercise
for the mind, a training of a facility that will recognize some pattern
that no one else will be able to see.
Recognition
and Gestalt Psychology.
The gestalt psychologists were very
interested in how the mind goes about recognizing things. They
discovered that an image could be created in such a way as the mind
could interpret it in more than one way. At he top of the page are two
small images which are classical gestalt images that can be seen in two
ways. The first can be seen as a young pretty woman looking away or an
old ugly woman looking down. The second image at first seems to be a
cup but further examination reveals two white faces nearly kissing.
Each one of these is a pattern we can see both but not at the same time
because what we see, what we perceive, is created by our minds. We
interpret reality and thus our own perception is always determined by
our understanding of the world. Without theories about the world we
perceive nothing.
Patterns
are there to be recognized and the same data may be recognized in more
than one way. Indeed if we are willing to look incoming information may
be interpreted in may different ways. Not only that but the gestalt
psychologists realized that some of the patterns that we recognize and
use in understanding the world are very strong and can mislead us if we
are not careful. Being able to see different patterns, more than one
pattern is an immense advantage for both the artist and the scientist
and the only way to become good at seeing patterns beyond what others
see is to practice trying to see them.
Look at the images above.
They tell us some very interesting things about pattern recognition.
Recognition of the human face is very strong we tend to see faces in
ordinary objects. Look at the first image. Though this is a shadowy
image on an all white background we tend to be drawn to the white face
in the right upper corner. The second image can be seen as either a
mouse or a human face. The third and fourth images show us we can leave
out details that conflict with what we are attempting to recognize. The
third image has two sets of eyes and the fourth has two mouths. The
fifth image shows two faces but it is difficult to see them at the same
time and the mind flickers back and forth. The sixth picture
illustrates how much perspective influences what we see. Of the two
parallel lines the one at the top seems longer. They are in fact the
same size. The two slanting lines invokes the pattern of perspective as
in railway tracks leading away. The one at the top seems larger because
being further away according to perspective it should be smaller to be
the same size. The seventh image illustrates that recognizing three
dimensional patterns is also strong. Here however we are faced with two
alternative boxes both clamoring for attention. The eighth image
illustrates that letters are strong patterns that clamor to be
recognized. It's a H and as soon as you recognize it as a H it is
difficult to see it as anything else. Patterns also change as we tend
to try and continue them. In the ninth image if we start with A we will
see A B C but if we start with 12 and look down we will see 12 13 14.
The last image illustrates that we tend to complete regular images.
It's a six pointed star or two triangles one on top of the other.
Again with the images above
you may at first see only curious meaningless shapes but the mind will
try to make something recognizable out of them. Once you see it is
letters that say 'fly win' it will be difficult to see anything else.
Our perceptions are perceived through previous
perceptions to form patterns which we impose on events and objects, in
order to understand them, and which we use to predict or anticipate
future events and objects. Some of this is identifying new patterns.
Most of this however is recognizing old patterns and done by matching
incoming data against a library of pattern images built up in our map
of reality. The trouble is that when personal map of reality is fully
formed we tend to feel that our library of patterns is complete and the
need to identify new patterns to be unnecessary. This is only true if
we do not wish to be creative and will to see the same old patterns and
not new ones. One way of identifying new patterns is to try and see old
patterns in new things and contexts.
Emotion
and Belief.
What we see, what we hear, what colors all our
senses is not just our knowledge but also our emotional state when we
are afraid we may see some fearful things that are manufactured by our
minds. Who does not remember seeing dark horrible shapes when alone and
frightened. When we really want to see something we may also see it
despite there being nothing that others can see. Bellow are some images
from the comic strip Robot Man that illustrate these nicely.
What various Geniuses had to say about
pattern recognition.
Almost all the great contributors to the
knowledge and art of the world have had a lot to say about the benefits
of being able to recognize patterns and how recognizing patterns in art
transfer to and support the the ability to recognize patterns in
science and vice versa.
M.
C. Escher.
Escher
was the great master of pattern
recognition. His works have inspired mathematicians and topologists. In
their book the "Sparks of Genius" the Root-Bernsteins quote Escher's
Son George as follows. "The wall in the small downstairs
washroom was decorated with irregular swirls of green, yellow, red, and
brown....Father would take a pencil and emphasize a line here a shade
there..." and find a face, "laughing, sad,
grotesque, or solemn." Over the course of many months the
wall "came alive with faces." Escher also enjoyed
identifying "animal shapes in seemingly random patterns like
clouds or wood grain."
Max
Ernst.
Max Ernst was one of the
most famous of the surrealist painters who found inspiration in the
patterns of wood grain in the floor of a seaside cottage when he was
stuck due to heavy rain. He placed paper on the rough boards and and
maid rubbings of the wood grain using a lead pencil. He later wrote
that there emerged: "a dream-like succession of contradictory
images." He continued, "Now my curiosity was roused
and excited, and I began an impartial exploration, making use of every
kind of material that happened to come into my field of vision: leaves
and their veins, frayed edges of sacking, brush-strokes in a 'modern'
painting, cotton unwound from a cotton reel, etc. etc."
Max
Ernst's fascination with pattern recognition led to his invention of
several new techniques that have revolutionized the world of art. He
gave us: frottage in which paper is placed over an object and then
rubber to pick up the texture; grattage in which paint is scraped onto
a canvas over rough or textured objects; decalcomania in which images
are made from random splotches of paint being cought between two pieces
of material such as paper and canvas.
Leonardo da Vinci
Da Vinci offered what
he called, "A way of stimulating and arousing the mind to
various inventions." "...a new and speculative idea, which although it
may seem trivial and almost laughable, is none the less of great value
in quickening the spirit of invention," "...look at a wall spotted with
stains, or with a mixture of different kinds of stones; if you have to
invent some scene, you may discover a similarity with different kinds
of landscapes, embellished with mountains, rivers, rocks, trees,
plants, wide valleys and hills in varied arrangement: or, again, you
may see battles and figures in action or strange faces and costumes,
and an endless variety of of objects you could reduce to complete and
well drawn forms." he urged students to stare at smoke,
embers, clouds, and mud, and cultivate their ability to see in these
mundane forms "the likeness of divine landscapes ...and an
infinity of things." Such insight, he writes "comes
about as it does with the sound of bells, in whose clanging you may
discover every name and word that you can imagine."
Aural pattern recognition is exactly the premise
of the Mother Goose rime "The Bells of St. Helens" where verbal phrases
are herd in in the chimes of various church bells.
The Bells of St. Helens
Gay go up and gay go down
To Ring the Bells of London Town
"Oranges and Lemons" say the Bells
of St. Clements
"Bullseyes and Targets" say the Bells
of St. Margaret's
"Brickbats and Tiles" say the Bells
of St. Giles
"Halfpence and Farthings" say the Bells
of St. Martin's
"Pancakes and Fritters" say the Bells
of St. Peter's
"Two Sticks and an Apple" say the Bells of
Whitechapel
"Maids in white aprons" say the Bells
at St. Katherine's
"Pokers and Tongs" say the Bells of St. John's
"Kettles and Pans" say the
Bells of St. Anne's
"Old Father Baldpate" say the slow Bells of Aldgate
"You owe me Ten Shillings" say the Bells
of St. Helen's
"When will you Pay me?" say the
Bells of Old Bailey
"When I grow Rich" say the Bells of Shoreditch
"Pray when will that be?" say the Bells
of Stepney
"I do not know" says the
Great Bell of Bow
Gay go up and gay go down
To Ring the Bells of London Town
Learning and Pattern
Recognition.
Learning is always about recognizing patterns
and extending them. Indeed though out this site the metaphor of the
jigsaw puzzle is used again and again. And what is a jigsaw puzzle but
a broken pattern. We learn by finding patterns and extending them. Take
learning a language for instance. How we speak and how we spell both
depend on imperfect patterns. What makes these learning tasks difficult
is the inconsistencies in these patterns. When a child says mouses or
sheeps he has recognized a pattern and tried to continue it but is
unfortunately wrong. If a child says woked or spoked he is extending a
perfectly logical pattern of forming the past tense. It is the English
language it self which is inconsistent. Similarly with spelling a child
confronted with the spelling of the word 'once' is likely to break into
tears, because it makes no sense in the patterns he recognizes for
spelling. Most of this inconsistency comes about because all languages
borrow from other languages which use different patterns for grammar
and spelling. In this, English is probably the most borrowed of all
languages and therefore the most inconsistent. On the other hand this
vast collection of borrowings makes English very succinct and flexible
for saying things quickly and accurately.
Science and Pattern
Recognition.
Science is all about finding the patterns in
nature unseen by others and filling in the blanks by extending them.
The metaphor of the jigsaw puzzle is every bit as appropriate for
science as it is for the concept of learning it self. it is appropriate
for both observation and conception. In "Sparks of Genius" Chen Ning
Yang a physicist and Christiane Nusslein-Volhard an embryologist, are
both quoted for their views on pattern recognition and their use of the
metaphor of the jigsaw puzzle. Nusslein-Volhard says, "The
most important thing is not any one particular piece, but finding
enough pieces and enough connections between them to recognize the
whole picture. The Root-Bernsteins say, "The most
critical part of research is not getting the data, but making sense of
it." Yang puts it like this, "This constant
searching for for new associations, subconsciously or consciously, is
one important element in scientific research. You don't constantly
attack one problem. If you have a lot of small linkages, you try to
make them fit, and then once in a while you find one piece which can
put five pieces together. That joy is indescribable. The
Root-Bernsteins say, "When enough data and concepts cohere,
the conceptual puzzles become conceptual patterns or 'pictures,'
scientists call them theories or natural laws."
The
Root-Bernsteins continue:
"Scientific
puzzle solving is like jigsaw-puzzle solving in another way as well.
When enough pieces have been fitted together, they may define either a
whole or a hole. Both are valuable. The whole is a new structure that
makes sense of the available data. But the hole - what is not there -
is also useful because it is a valuable clue to the shape of our
ignorance. Having defined that shape, we we can now look for pieces to
fill the hole. Our search for linkages is no longer random. We have a
specific question to answer and definite criteria to use for evaluating
possible answers. Almost every scientist of note has said something
along the lines of 'properly defining your question gets you more than
half way to its solution.' Questions, from this point of view, are also
patterns."
Mathematics and Pattern
recognition.
Mathematics or the extension and improvement of
it is also all about recognizing patterns. In fact mathematics is all
about recognizing and defining those patterns and thus mathematicians
have to be very good at recognizing those patterns. The Root-Bernsteins
in their book tell a story about the great mathematician Carl Friedrich
Gauss which clearly illustrates this:
"As
a young student Gauss and his classmates were asked to add up all the
numbers from one to a hundred. We can imagine the groans. But a few
seconds later Gauss gave the correct answer. How could he possibly have
performed such a feat? He had not done the calculation before, nor was
he a phenomenal calculator. He was, however, an extraordinary pattern
recognizer. What he noticed is that if you take a number at the
beginning of the series 0 and 100 (0 being implied in the original
problem) and add it to a number in the same position at the end of the
series, it always adds up to 100. Thus, 100+0=100; 99+1=100; 98+2=100;
97+3=100; and so on, up to 51+49=100. That leaves the number 50
unpaired. So the 50 pairs of numbers that each add up to 100 = 5000.
Then add the in the unpaired 50 and there's the answer; 5050.
Children
and Pattern Recognition.
It should not be surprising to learn
that we were all better at recognizing patterns when we were young. We
probably all remember looking at clouds when young and finding all
manner of wonderful things hidden in their amorphous shapes. When young
we may have contemplated stains on the walls or ceilings and discerned
strange and wondrous delights. As we get older our delight in finding
these hidden pictures usually becomes suppressed by parental teacher
and peer pressure. Thus the ability tends to wane and we tend to stop
looking for patterns and are no longer able to experience joy in
finding them. Once we lose the ability to discern patterns in this way
it is almost impossible to regain it.
Practice as iterative improvement is a
necessity for life long creativity.
If we
stop practicing using this pattern recognizing facility, our ability to
use it to make great discoveries will naturally fade. All the creative
tools need to be continually exercised and improved in order to be
usable for
creative tasks and problems. Of course in creative geniuses this
facility does not fade because creative geniuses tend to continue to
exercise this facility throughout their lives. As to why this facility
fades in more average people, it seems likely that like many of the
facilities of childhood it becomes seen as childish activity and thus
avoided. Also it is probably discouraged by parents and teachers for
the same reason. This site asserts that the ability to recognize
patterns in the ordinary and chaos that surrounds us is an incredibly
useful and creative talent that we should try to preserve at all costs.
This site suggests that this facility can only be preserved by
encouraging its continuing use and that all efforts to prevent children
from experiencing curious patterns that no one else can see should be
terminated immediately.
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