I don’t see ‘Nature’ as mathematical
I see ‘Nature’ forcing us to be mathematical
The Avrin Proposition
Please familiarize yourself with the similar triangles poems to help with the following.
The physicist William Avrin has restructured the similar triangles poem to form a new proposition to ponder. He uses a edited example of the similar triangles poem titled “The Lottery” that was posted Friday March 9, 2007 (below)
From the poem above to the examples below.
Here we have the "The Avrin Proposition" shown in the simile version
Here we have the "The Avrin Proposition" shown in the metaphor version
The idea of us solving the question, whether the statements equal 1 or any number for that matter, would require some rigorous control of the contexts in question and furthermore, they (the contexts) would need to be limited greatly to have any meaningful value. I personally am not that interested in finding the perfect number that is entirely too scientific for me. However, I wish to say that I believe mathematical poetry is more about the ‘aesthetic feeling’ of the mathematical relationships within the equation as opposed to the quest to solve it for hard numbers. However there is a very interesting twist to this idea of number in mathematical poetry.
Also let us note that we can solve for any or all of the variables. This will give us four synonymous variations of the similar triangles relationship in terms of one variable – examples shown in the next slide:
Now let us look at the logical structure of the following comparison: Apples are to apple butter as peanuts are to peanut butter. Furthermore, let us also look at how we can map the latter statement into the similar triangles relationship.
The following slide shows us a good example of how metaphor can be applied to the relationship of similar triangles.
Now let us substitute the terms of our logical comparison into the all of the similar variations to create four similar triangles poems.
We now have four poems that are logically equivalent but syntactically different. Each poem says the same thing only with a different flavor much like playing a piece of music in four different keys.
This blog entry is a response to some comments made at my blog entry displaying the similar triangles poem titled “The Lotto”
Frank,
I appreciate you stopping by and I enjoy engaging your comments in some discussion even though you didn’t really leave much behind. I took the liberty to stop by your blog to try to understand your point of view in order to decipher your comments. I am going to assume from your blog entry, concurrent with your comments on my blog, that you are frustrated with the attention given to Ron Silliman’s idea of torque in poetry as well as being annoyed with my blog posting of a way to look at 'torque in poetry'. (Please notice I said 'a' way not 'the' way) Furthermore it seems that Ron's blog brought you to mine.
Your first comment was, “mathematics is objective”
I now ask you to notice the analytic geometrical equation for a circle “x squared plus y squared equals the radius squared.”
Every country has freedom of speech; it is just the consequences for that freedom varies.
KM
In response to the blog entry at Ron Silliman’s blog which pointed to this blog entry by K. Silem Mohammad: Lime-Tree (click here)
I would like to contribute to this discussion on ‘torque in poetry’ by giving an example of how one may view the mechanics of torque within a poem. Furthermore, in particular, I will give an example using the Creeley poem previously discussed.
To understand the difference between torque and linear movement in a poem we should understand the difference between the components of the two within the context of a poem. Let me reiterate the interesting ideas that Silem Mohammad has brought forward in the blog entry referenced above.
The concepts in question are pulling, pushing, syncopation, and torque. First of all pushing and pulling are generally thought to be linear forces. (in a straight line) Force can also be used in torque as in pushing or pulling something perpendicular to an axis as in the example of pushing on a swinging door. Pure rhythmic (without glissando or modulation) syncopation seems to me to be a linear force due to the idea that we generally perceive time to be linear at least in an analytical sense. I believe syncopation in music or poetry can express torque with the additional use of pitch such as a talking drum or with synaesthetic visual imagery. I believe you may experience torque in Creeley’s poem due to the visual imagery associated with physical torque as in a car swerving to miss an object in the road:
“drive, he sd, for
christ's sake, look
out where yr going.”
To imply torque in the visual structure of the poem one has to imply force moving perpendicular to an axis. Like the twisting diagram above. So this brings us to the question: What is the axis and what is the force within the structural line-breaks of Creeley’s poem?
One way to visualize the torque within the structure of his poem is to notice that the movement in the line breaks creates a curve that our vision may follow. (See diagram above) It may not follow this exact curve but it must follow a curve if you are experiencing torque. There is an argument that your eyes follow a straight line to the next line. In that case you would experience a linear force not torque.
So let’s look at a curve connecting the lines in the above diagram. The red curve is an enlargement of the black curve in our diagram. Notice that the curve varies in curvature. The radius in the curvature is changing which means the torque is changing also. However, let’s freeze our eye movement for a moment and just look at one radius which is shown in the black circle that lays on the red curve. That radius is represented for a stopped moment in time at a certain place along the curve. This is the point where we can imagine that we can see the radius of curvature that our eyes follow in this poem. This radius is the “r” value in the equation for torque.
Now we must find the force and break it down so that we can see the components of force in the poem.
One of the ways physics describes force is that “force is equal to the change in momentum of an object per the change in time during the objects spatial movement”. (F = delta mv/delta t)
The Egg Toss Game
Many of us have experienced force when playing a particular egg toss game in which the goal is to have your partner throw you an egg and you catch it without breaking it. What you are doing in this game is change the momentum of the egg from its maximum speed when it is flying toward you, to a speed of zero when you slow its fall in the palm of your hand. Furthermore, the objective is to slow its fall over the greatest amount of time possible. Force is the change of momentum per the change in time in other words if you change the momentum of the egg in a short period of time the egg breaks because you created too much force on the egg. You created much more force than if you would have caught the egg over a longer period of time.
So how does all this relate to the poem?
The force involved in at the end of the line break is equivalent to the change in the flow (momentum) in the poem per the change in time as you read it. This idea is the “F” value in the torque equation.
Since force is the change in momentum per the change in time, let’s look at what ideas comprise the momentum at the end of the line break in this poem?
Let’s go back to physics and look at the definition of momentum. Momentum is the mass of an object multiplied by the velocity that the object is traveling.
What is the mass in the poem at the end of the line break?
I see the mass being static concept in the line’s subject. For instance “the darkness” in line five of the poem is the static concept.
What is the velocity?
I see the velocity caused by anticipatory interest we have in finding what the next line says. For example the line ending in the word ‘what’ is not resolved and we experience anticipation to resolve it. Our anticipation is what is moving in our mind until the idea is resolved at the next line. The velocity then slows down as our interest slows down. In other words the more anticipation we experience then the faster our need is to resolve the idea at the next line. Furthermore, the greater the change in the momentum of our interest then the more force we experience. The more force we experience then the more torque we will experience.
I am always sorry when any language is lost, because languages are the pedigrees of nations. -Samuel Johnson, lexicographer (1709-1784)
This is my first Korean artwork
Dog Dream = Irrationality / Importance
The poem is in the form of an orthogonal space poem
Check out the lastest Unlikely Stories. My latest two pieces are among some wonderful new art/poetry work.
As you look at the graph of Y=1/x (above) you will notice the values become extremely large as you approach the asymptote where the value of x equals zero. At x = zero the y value becomes infinite (at the asymptote).
We have the same situation when we approach temptation. It gets stronger and stronger as we get closer to the object of our temptation and when you touch your temptation you lose the game. In other words the shorter the distance to your object of temptation the closer you get to the asymptote.
The form of the poem is an orthogonal space poem
Temptation 2006 Kaz Maslanka
Lothar Schmitz’ sculptures reconfigure and question corporate landscape elements using man-made materials. His topiary-like treatment of landscape alludes to the accelerating pace of ecological change and genetic mutation. He draws experience from both his art and physics background. Schmitz is a past Los Angeles Cultural Affairs COLA Individual Artist Grant recipient and a physicist.
FOR IMMEDIATE RELEASE:
CONTRARY TO THE LAWS OF NATURE
Los Angeles based artists stretch those laws and present some of their own.Mitchell Friedman, Manfred Menz, Lothar Schmitz, Carrie Ungerman and Melinda Smith Altshuler address social, environmental and psychological circumstance in the landscape. Exhibition Dates: December 21, 2006 - January 27, 2007Artist’s Reception: Thursday, December 21, 5:30 pm – 7:30 pm
Sarah Lee Artworks & Projects
2525 Michigan Avenue (Bergamot Station), T1, Santa Monica, CA 90402
Media Contact: Melinda Smith Altshuler, 310 367.5246, msasees@yahoo.com
Gallery: 310 829.4938 E-mail, saralee4@verizon.net
Website: http://www.sarahleeartworks.com
Gallery hours: Tuesday through Saturday 10:30 am- 5:30 pmPlease direct e-mail inquiries about the exhibition to the gallery’s address (above);
Climax 4 by Mirela Roznoveanu
Alligator Cubed by Jeff Crouche
Shown above is a three-dimensional verbogeometric polyhedral
Applications for Verbogeometry
Neal Goldman, a mathematician has come up with a single verbogeometric polytope to analyze huge amounts of data. Business week online has recently published an article talking about Goldman’s polytope and you can access this article here. I was proposing someone write a polytope poem in my blog entry on August 14, 2006. Goldman’s polytope is not a poem but it can be viewed as a hyper-dimensional verbogeometric structure.
I would like to present an excerpt from the article to arouse your curiosity:
How do you convert written words into math? Goldman says it takes a combination of algebra and geometry. Imagine an object floating in space that has an edge for every known scrap of information. It's called a polytope and it has near-infinite dimensions, almost impossible to conjure up in our earthbound minds. It contains every topic written about in the press. And every article that Inform processes becomes a single line within it. Each line has a series of relationships. A single article on Bordeaux wine, for example, turns up in the polytope near France, agriculture, wine, even alcoholism. In each case, Inform's algorithm calculates the relevance of one article to the next by measuring the angle between the two lines.
Here is the link to the original article from business week online
I would like to spotlight a new Journal on Mathematics and Art. Edited by Professor Gary R. Greenfield from the University of Richmond in Virginia … I will keep you posted when the first issue comes out.
For over twenty-five years, PHSColograms, the integration of photography,holography, sculpture, and computer graphics, have created a post-canvas three-dimensional medium that has expanded the visual imagery of the work of a variety of scientists, mathematicians, engineers, architects, and artists.
Paradox. The vessel is a metaphor of our human existence, the body symbolized as a box or bowl is the vessel for the soul. The paradox between the need to belong and the need for individuality; attraction and repulsion; the inside and the outside; materiel expansion and contraction.
Paul V. Galvin Library, Illinois Institute of Technology
35 West 33rd Street, Chicago, IL 60616
Exhibition hours: Monday - Thursday: 12 - 6 pm, Friday: 12 - 5 pm
Saturday: 8:30 am - 5 pm, Sunday: 2 - 6 pm
I just received my Bridges 2006 Conference Proceedings today! It is full of wonderful papers for which some of them I plan to review. I recommend you going down to your local bookstore and ordering it! ISBN 0-9665201-7-3
I have redesigned my main website with an attempt to make the navigation easier. Any feedback will be greatly appreciated!
Thanks!
“Multiple Universes” show opening today 2 pm to 5 pm … If you are in southern California come join the fun. Above is the map to the show
I would like to thank the young lady by the name of Tifinie who sent me the link to a ‘myspace.com’ account which had a copy the following essay posted. I am always interested in anyone expressing mathematical poetry. Here is a link to the original source of her information.
The following essay is by Allen L Roland a psychotherapist and political activist who can be found at allenroland.com. Dr. Roland’s essay is a perfect example of mathematical poetry in his metaphorical use illuminating his philosophy. I went to his website and found much of his spiritual and socio-political views to be similar to mine although he is much more aggressive than I.
His poem reminds me of a poem I had done a poem using this same equation. I haven’t published it on my blog because I haven’t made an electronic version of it yet. Maybe this will motivate me to post it later just to contrast this poem and show how the same equation can be used for many vastly different metaphors.
--Kaz
E=mc² / A NEW MATHEMATICAL EQUATION FOR LOVE AND WORLD PEACE
Since we now know that the particles of light ( photons )
are subject to another force ~ and I would argue that that force is a psychic energy field of love and soul consciousness ( The Unified Field ) which exists beyond time and space and whose principle property is the universal urge to unite ~ it's time to add another dimension to Einstein's famous equation ~
E=mc².
E=mc² in Einsteinian terms means that the energy contained in matter is equal to its mass multiplied by the velocity of light squared.
Unfortunately, man, in his limited consciousness, has used this equation to create nuclear bombs and the means to completely destroy mankind.
But we now have growing scientific evidence that light is not the one constant of the Universe and may very well be a condition of state within a greater constant.
David Adam, science correspondent for the Guardian, in an April 11th article entitled Why Einstein may have got it wrong , reports some startling findings as physicists gather in England to celebrate Einstein's work;
"Astronomers will tell experts gathering at Warwick University to celebrate the anniversary of the great man's "miracle year" that the speed of light - Einstein's unchanging yardstick that underpins his special theory of relativity - might be slowing down. Michael Murphy, of the Institute of Astronomy at Cambridge University, said: "We are claiming something extraordinary here. The findings suggest there is a more fundamental theory of the way that light and matter interact; and that special relativity, at its foundation, is actually wrong."
The Bose/ Einstein Condensate established that photons, and now even atoms have a tendency to unite and dance in perfect unison.
Einstein was in a quandry about this phenomenon so he dismissed this obvious attraction of photons as not only spooky but evidently a " tendency to want to travel together " ~ and Einstein later died never realizing he had found his elusive Unified Field.
For, as I have written before, it was Einstein's consciousness that kept him from grasping that he had indeed discovered the Universal primal urge to unite that exists from atoms to human beings ~ and that even galaxies are subject to its universal pull.
As such, this psychic field of love and urge to unite deepest within us cannot be observed through the most powerful electron microscope nor through the lens of the largest telescope, for it is an energy which must be surrendered to and experienced before it can be perceived through the consciousness of the observer.
So now, let us breath fire into Einstein's most famous mathematical equation E=mc² and apply it to a Unified field of love and soul consciousness which could lead us instead to our ultimate fulfillment as human beings;
E = Love ~ The ultimate totalization of human energy ( The Unified Field )
M = Man, the most complex and conscious form of matter that we know.
c²= Consciousness squared.
Thus, the energy of conscious unconditional love, which is deepest within all living matter, is equal to man times his consciousness squared.
British physicist, Steven Hawking, regarded by many as today's successor to Einstein, wrote that there ought to be something special and simple about a theory of everything .
And what could be more special and simple than love.
Finally, at this critical moment for mankind ~ it is imperative that we now recognize that love, not light, is the one constant of the Universe.
ONLY LOVE HEALS
Allen L Roland
Unfortunately to see it you must click here
This poem uses the physics equation for energy E = Fd Energy is also called work "W"
Energy (or work) is the force applied to an object multiplied by distance that object travels
If we pull force out of the context of the sentence above and look at what defines force we will find that Newton’s second law states Force is equal to the mass of an object multiplied by the acceleration the object is experiencing. Now if we look at acceleration we find that acceleration is the change in velocity per the change in time. In our energy equation we are multiplying the F times the distance the object is traveling. The way we calculate distances is with the distance formula. The poem above uses the distance formula in a nine dimensional space where every verbogeometrical axis is described in the poem underneath the radical.
Here is something unrelated to mathematical poetry but interesting none the less. I received this information from my vision science list today. These are the results from the best optical illusion contest of 2006 --- If you are an interested vision scientist, they are now calling for submission to the 2007 contest.
Check out the winners of 2006 here
Go to this page then click on TOP 10 finalists
Karl Kempton sent me this link ... all I could say was WOW!
check out all these books (click here)
I tend to think that without logic, you cannot communicate and without communication, you cannot have a philosophy. To me logic presupposes philosophy ... Logic is the supportive structure for thought without it everything would fall apart, no one could predict where our next meal would come from, much less anything else. The other side of the coin is that without a philosophy coloring ones theory of logic, ones logic has no starting point. In this sense, ones logic can have no logic without a philosophical stone to stand on. It is a vicious circle!
The clipping below originally came from a polytope list and was sent to me by my friend the mathematician Paul Gailiunas. My original question to him a few weeks ago concerned the importance of infinity within modern scientific equations. Math poets seem to gravitate toward using infinity in our math poems and as professor Gailiunas told me scientists tend to avoid infinity as much as they can. The following is an example of scientific thinking in this area.
Kaz,
This came from a completely different direction.
I thought you might beinterested.
Paul
On Thu 7 Sep 2006 (21:46:48 +0100), guy@steelpillow.com wrote:On Wed, 6 Sep 2006 08:54:09, "Wenninger, Magnus"
My friend Keith Rowley pointed me at the equation above by 19th century American Mathematician George David Birkhoff. The equation comes from Birkhoff’s 1933 book entitled “Aesthetic Measure”. Here is a perfect example of an equation intended for artistic purpose and yet denotative. Here Birkhoff intends to write an equation to measure levels of aesthetic based on a ratio of order and complexity. Personally, I feel trying to quantify something as broad as the word ‘aesthetic’ is extremely difficult and elusive. I have not read his book so I withhold more comment until I have read what he has to say. My intuition tells me what he is doing is much like my syncopation theory. It will be interesting to see what differences there are.
