Showing posts with label Mathematical Paradigm Poems. Show all posts
Showing posts with label Mathematical Paradigm Poems. Show all posts

Friday, October 02, 2020

Kaz Maslanka Lecture @ The Los Angeles Center for Digital Art Part 2

This Lecture gives you the tools to access mathematical visual poetry in general and Newton's Third Law in Karmic Warfare in particular. While I have been practicing this genre for 40 years, I have never given this extensive set of tools before. That is, all in one video.

Here is Part 2 which addresses mapping poetic expressions in hyperdimensional space.

Check it out scream and shout

Monday, March 12, 2018

Oceanside Museum Of Art Accepts Newton's Third Law In Karmic Warfare Into The Upcoming Auction

I am very honored to have my mathematical visual poem, "Newton's Third Law in Karmic Warfare" accepted into the Oceanside Museum of Art's auction. This event will be saturday, April 7th, 6:00-9:30 pm. General Admission $50, VIP $125
If you are interested in understanding more about this piece, I published a paper that will give you the tools to access it. You can download it here by clicking here.

Monday, December 14, 2015

Pinaki Halder Number 1

A new Paradigm Poem by Pinaki Halder mapping onto Einstein 

Friday, July 17, 2015

Towson Math Art Exibition

I am happy to be a part of this show at Towson University:

Newton's Third Law In Karmic Warfare

Detail of text

Detail part of mirror

Detail of eyes

We have all heard that what goes around comes around. In essence this is the contemporary western view of Karma. Yet, Karma has a long history in the east predicting that ones future events are influenced by one’s past events.

 Newtons third law of motion states that for every action there is an equal and opposite reaction. ——— see any similarities? ——— The visual expression (above) titled “Newton’s third law in Karmic warfare” maps a karmic event into equal and opposite forces.

 The following LINK will take you to my paper on paradigm poems that will go into more detail of this piece. Here is an excerpt from the paper that discusses this piece:

Newton’s Third Law in Karmic Warfare 
In the poem “Newtons Third Law In Karmic Warfare” (Fig. 1,2) we map two dynamic forces against each other that always remain equal. Karma is a spiritual law that states that the current and future situation of a person is influenced by their actions of the past. So we are reminded of the vernacular version of Karma in the sense that “what goes around comes around”. I see Karma as the same archetypical concept as the conservation of momentum and energy. So in my expression we map the mass of the forces as egos. When we map our ego across the idea of mass we may get an idea of something that has inertia when moving or an entity that carries weight in certain situations. Some people are thought to have ‘massive egos’. We are also mapping the idea of acceleration across the idea removing or taking life — I am reminded that if I don't take care of my health I accelerate my own death. So acceleration is moving something through space and time. In physics it is a physical object however, in poetics It can be any object that makes sense to us. In this case we are objectifying life. So can I accelerate death in my enemies? What would be the mechanics of doing this? So can I view life as an object moving through time? These are questions that I would hope someone would ask themselves when looking at this poem. When looking at the visual metaphors in this piece one must notice that I am borrowing a mythological expression from Korean culture called a Karma Mirror. The creature stands upon a world of hellish judgment where we find upon its back a mirror that reflects our Karma back at us so that we may see it. I would hope you would ask what Kind of Karma has been created by the creation of nuclear weapons?

 The following section of this paper is a list of metaphorical mappings that I have perceived by analyzing the aesthetic work titled “Newton’s Third Law in Karmic Warfare” (Figs. 1,2) The metaphor mapping nomenclature of Layoff and Nunez are used for this list.

 Metaphor from Physics: The Equation from Physics that describes equivalent forces IS Observations of equivalent forces 

Poetic Metaphors: Mirror IS Conservation of Momentum and Energy; Mirror IS Equivalence; Karma IS Equivalence; Karma IS Mirror

 Mathematical Poetic metaphors M1 or Mass (subscript 1) IS The Level Of My Self Righteousness; △v1 or The change in velocity (subscript 1) IS Me Taking Life From You; △t1 or The change in time (subscript 1) IS The Time It Takes For Me To Kill You; M2 or Mass (subscript 2) IS The Level Of Your Self Righteousness; △v2 or The change in velocity (subscript 2) IS Me Taking Life From You; △t2 or The change in time (subscript 2) IS The Time It Takes For You To Kill Me;

 Visual (image) Metaphors: Nuclear Proliferation IS Karmic Force; Karma IS Hell; Korean Karma Mirror IS a vehicle

Saturday, August 15, 2009

Problems Encountered With Mathematical Poetry

Here is a perfect example of why mathematical poetry will have problems at least in the near future. In the blog entry copied bellow (and at this link) the author is complaining that the originator for a set of equations published in the brochure for the Biennale of Sydney is numerically illiterate. Curiously enough I think they should have said mathematically illiterate for numbers are not involved in these examples. That said, I am not sure that it is true that the originator was mathematically illiterate as well. The author claims that the expression, “Art = tyranny” is a false statement yet, historically there has been countless examples of art that has been inspired by or executed to express tyranny. A good example would be the artistic turmoil created around 1911 in Zurich Switzerland, for the entire Dada movement’s intention was to be tyrannical (Anti-Art)… as well as the copy cats that came after. Obviously the problem brought to question in this brochure is how one reads an equation. Is the equation to be read as poetry or science? Too many people think that an equation is automatically scientific in its expression. If this myopic attitude is left to continue, mathematics will be in denotative chains forever. When one reads poetry one searches for the proper context to give it meaning in relation to their life. One looks at the many facets of a poem to see what it is pointing to. “Art = tyranny” is a perfect expression for Dada, Punk or any other nihilist form or art.
Now to give our author the benefit of the doubt we could agree with him/her if the originator’s intention was scientific however, I can hardly see scientific intent in this expression even if it were meant to be.

It Don't Add Up
The Biennale of Sydney has put out an advance brochure that contains the two equations:

art + beauty + empathy = power

power – beauty – empathy = tyranny

Anyone with a primary school understanding of mathematics knows that if you solve these equations for the term ‘art’ you will discover that the claim being made is that

art = tyranny

If the Biennale of Sydney wants to communicate its ideas in the form of equations, perhaps it should run them by someone with a primary school level of numerical literacy before publishing them. Didn’t anyone in the accounts section twig that the Biennale of Sydney is spreading the message throughout the world that art equals tyranny???

Here is the mathematical solution:

art + beauty + empathy = power

art + empathy = power – beauty

art = power – beauty – empathy

given already that power – beauty – empathy = tyranny

then it follows

art = tyranny

Paradigm Poems From Anand Bora

He are some good examples of the paradigm poem from Anand Bora.

Thursday, January 15, 2009

Kempton's Mouth

Karl Kempton has expanded his mathematical paradigm poem “My Big Mouth” into a polyaesthetic series show below. Very nice Karl! I especially like the last image which I would love to see at the bridges show in Banff this summer.

Monday, May 12, 2008

Heisenberg and Pablo Kagioglu

Pablo Kagioglu sent me a few slides showing some Mathematical Paradigm Poems. I am extremely limited in my understanding of Quantum Mechanics so I am sure there will be much reflexive didactic that I will miss however, I do find it interesting that he has substituted the idea of "quanta" for “self” in our human identity. I am interested in pondering these further I hope you do as well.

Thursday, August 16, 2007

Pablo Kagioglu's creation

Here is another "Electronic Paradigm Poem" done with the "Orthogonal Space Poem" structurePlease see Pablo's introduction to have a better understanding of his process.

Wednesday, August 15, 2007

Pablo Kagioglu's Passion

Here is another "Electronic Paradigm Poem" done with the "Orthogonal Space Poem" structure
Please see Pablo's introduction to have a better understanding of his process.

Tuesday, August 14, 2007

Pablo Kagioglu's Love

Here is a "Electronic Paradigm Poem" done with the "Orthogonal Space Poem" structure

Please see Pablo's introduction to have a better understanding of his process.

Monday, August 13, 2007

Electronic Paradigm Poems by Pablo Kagioglu

I just received an email from Pablo Kagioglu who has been doing some very interesting experimentation with ‘electronic paradigm poems’. The following is an excerpt from his email, which I would like to share. Over the next few days, I will post some of Pablo’s ‘electronic paradigm poems’ which will refer back to this blog post. In all actuality one could make hundreds of ‘electronic paradigm poems’ from the lists that Pablo has provided us with. Thanks Pablo!

"The formula I am using is Ohm’s Law and mainly its relationship to power and potential, not so much the concept of resistance and flow (which to me are acting more like the glue to the whole thing)

Ohm’s Law

I = V/R


Power = voltage multiplied by current
P = V*I

P = (V*V)/R
P = R * (I*I)

V = P/I

So I just found synonyms of the different variables, sometimes a couple of layers deep, and just started playing with the word combinations and formulas to see what “stuck to the wall” so to say.

“Resistance and Current are acting as opposing ideas”

R = Resistance: opposition, blocking, defiance, protecting, refusal, struggle, antagonism, animosity, antipathy, hatred, hostility, rancor, rivalry, avoidance, abstention, prevention, recession, recoil, restraint, retreat, interruption, indecision, delay, hindrance, procrastination.

I = Current: flow, effusion, emanation, flood, flux, gush, juice, plenty, plethora, river, stream, tide, appear, begin, commence, crop up, derive, emanate, emerge, ensue, follow, happen, head, issue, occur, originate, proceed, result, rise, set in, spring, start, stem, creation

“Power is the realization of the Voltage”

V = Voltage: potential, energy, conceivable, imaginable, doable, plausible, possible, quiescent, thinkable, ability, aptitude, capability, capacity, vitality

P = Power: dynamism, effectiveness, faculty, function, influence, skill, force, locomotion, motility, propulsion, authority, will, decision, longing, passion, pleasure, purpose, resolve, yearning, love, adoration, affection, ardor, desire, excitement, lust.

The word equations (concepts) seem to work better and make more sense to me when defined in terms of Power and Voltage rather than Current and Resistance."
I will be posting the poems in the next few days -- K

Sunday, August 12, 2007

The Paradigm Poem

The Paradigm Poem

Unlike a simple mathematical structure as in the “Similar Triangles Poem”, the “Paradigm Poem” is a mathematical poetry technique that borrows its structure from an existing equation of scientific or cultural significance. The “Paradigm Poem has many sub-categories which are as numerous as there are categories for applied mathematics. Examples that we could consider would be: “Physics Paradigm Poem”, “Chemistry Paradigm Poem”, “Business Accounting Paradigm Poem”, “ Psychophysical Paradigm Poem” etc.
If we think in terms of metaphor using the cognitive scientific language of George Lakoff then we would classify the language of the variables “inside the equation structure” as the ‘target domain’ and the context or traditional meaning of the equation as the “source domain’
Let me show an example of a “Physics Paradigm Poem” using Newton’s second law. For this example I am going to use an excerpt from my essay on “Polyaesthetics and Mathematical Poetry” Journal of Mathematics and the Arts, Volume 1, Issue 1 March 2007 , pages 35 - 40 Publisher: Taylor & Francis Informa Ltd Registered in England and Wales Registered Number: 1072954

“My personal view is that almost all mathematic applications rely on using equations with the intent similar to simile. The variables in the equation are compared explicitly with the result for uses in denotation. For example, in the case of an application of
Newton’s second law F = ma, or Force equals Mass times Acceleration, we are comparing the variables m (Mass) and a (Acceleration) explicitly to F (Force).
I can now make a mathematical poem based on the latter example by expressing the Force of ‘yesterday’s freedom’ as being equal to ‘a lush clover patch’
multiplied by ‘the swelling sweet summer breeze traversing the morning’. We can then put this in the form of a mathematical equation as; Yesterday’s freedom = (a lush clover patch) (the swelling sweet summer breeze traversing the morning). In other words, I set the Force to ‘Yesterday’s freedom’, the mass to ‘a lush clover patch’, and I accelerated the mass by ‘the swelling sweet summer breeze traversing the morning’. All of these
phrases relate back to the original equation from physics F = ma. I want to emphasize that I was very careful when I made my choice for acceleration so that the phrase is evocative of the mathematical description of acceleration as defined by physics. Acceleration is the
change in velocity of an object per unit of elapsed time during that acceleration. Here, the change in velocity is implied by ‘swelling’ and the change in time is implied by ‘traversing’.”

In the above example we are using the words “Yesterday’s freedom; a lush clover patch; the swelling sweet summer breeze traversing the morning” as the variables of the equations which supply us with the target domain and then we are using the equation from physics F = ma, its scientific meaning and historical significance as the source domain.

The bottom line concerning the ‘paradigm poem’ is that we borrow an equation from the past which inherently contains historical significance and serves as an paradigm or mathematical model that seems almost “a vessel” to carry the mathematical poem. The paradigm poem always borrows an existing mathematical structure to serve as a source domain in our metaphor.

Saturday, May 12, 2007

Ed Schenk's World

There are about three people that are almost regular contributors to this blog and Marko Niemi is one of them. Marko has continued to keep me on my toes and has graciously sent me a link to a mathematical poem found on

I would like to dedicate this blog entry to Ed Schenk’s poem that he posted on and I have reposted above.

First of all I would like to say I like Ed’s Pythagorean Theorem Poem with the idea of world being the hypotenuse of a triangle with the adjacent and opposite legs being perception and reality. Ed’s intent is such that he is asking whether the world is equal to these things. You notice that he has ‘???’ in the field of view. My guess is that Ed wanted to avoid the trap that too many people get hung up on concerning mathematical poetry. It seems that many people think that we are trying to create axioms or scientific statements. The latter idea I believe is due to the provenance of mathematics having much momentum since it is the language of science. However, I look at math poetry with a lack of scientific eyes. There could be an entire debate on whether Ed needed to put those question marks on his piece and I could argue both sides. The point I want to make is that mathematical poetry is not science.

I believe one good reason to leave the question marks on his poem are to insure that we avoid a philosophical debate and focus on the beauty of the language while entertaining the ideas presented. When it comes to philosophy and mathematical poetry I feel it is very difficult to be good at both philosophy and art. I feel mathematical poetry is less distractive when inspired by established philosophy and illuminated with a new and expanded life. Although I am sure that I have crossed the boundaries on occasion.

I also wanted to mention a technical delineation, that by putting the question marks underneath the poem it becomes a mathematical visual poem for to become a pure mathematical poem the question marks would be located above the equal sign as shown in the Avrin proposition posted April 22, 2007

I love the form of Ed’s poem however; it is hard for me not to like a Pythagorean Theorem poem. I love everything about the Pythagorean Theorem for it is always a great one to ponder just because it has such a magical quality expressed in such simplicity. ---- Although, I wouldn’t advise it, one could spend their whole life making poems in this form alone.

Of course I will have to mention as soon as I see a mathematical poem in the form of the Pythagorean Theorem, like Ed’s, then my first thought is to take it into analytic geometry and map it on the Cartesian coordinate system.This in effect is taking the Pythagorean Theorem and spinning it around a single point to create the equation of a circle.

So what would Ed’s piece look like expressed on the Cartesian coordinate system? Well, let’s look at it. This is Ed's poem spun around a point with verbogeometric axes of perception and reality.
Another thing that always occurs to me when I look at the Pythagorean Theorem is to ask how many dimensions I need to express what I want. Ed has chosen two for his poem and this is good however, we have the option to pick as many as we want. Since the idea of ‘world’ could bring about a visualization of the earth we could choose three dimensions and use the equation of a sphere. (This is the equation of a circle spun around a line)

The image below is an example where I have added an extra dimension to Ed’s equation to come up with a spherical poem. I decided to use belief as a dimension because it was the first thing that popped into my head. For this paradigm, it is not important so much as to what I am saying for I am really just trying to serve an example of how to add an extra dimension to the equation for a circle to render the equation for a sphere. Thus creating a spherical poem or in other words the Pythagorean Theorem in three dimensions and visualized in the Cartesian coordinate system.

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