Two Mathematical Poems For Gregory Vincent St. Thomasino

“Profundity” is the title of the first mathematical poem and the second “Logoclasody”.

The drawing above is by Gregory Vincent St. Thomasino

If discourse is a river then what is a lake?
Is not the Philosopher a dam?

Logoclasody


The two mathpoems above are similar triangles poems
Also related is the Avrin proposition

The Account Of Oscar

The following is a mathematical adaptation and edition of an Oscar Wilde quote.

The later poem is in the form of an orthogonal space poem

Fall Well

I forgot to post this two weeks ago.

also see Orthogonal Space Poem

Duchampian Identities?

The following slides came to me anonymously however; I would have loved to credit the author if given the chance. The original intent of these slides was humor but on a deeper level this cerebral dance reminds me of the artistic equivalent of Duchamp’s found objects. Here our author has found bits and pieces of historically significant mathematical identities whose purpose are totally unrelated to the context of this wonderful buffoonery. He/she has logically pieced them together to take your mind on a trip through a kaleidoscopic mathematical collage logically woven together to end full circle. I love it … so enjoy! And thanks to whoever created it.

The New Cold War

For Ron Silliman

Khayyam's Demon

Tenth century Persian Poet/Mathematician Omar Khayyam’s triangle



Also discovered by the Chinese Mathematician Zhu Shijie


Here is my mathematical poem dedicated to Khayyam

Schopenhauer’s Wax

Here is another Similar Triangles poem titled "Schopenhauer’s Wax"

Also related to this structure is the Avrin proposal

A Math Art Moment #4

Delineation#4

Science reveals the body of GGod* and Art reveals GGod's mind -- or is it the converse?

*See Comment

To see more math art delineations click here

Death

Here is another similar triangles poem Titled “Death”
Also related to this poem is the Avrin Proposal

Rod Poole 1962-2007

Rod Poole 1962-2007

Occasionally things are important enough for me to stray from mathematical poetry furthermore, this is one of those times. The microtonal composer David Beardsley emailed me today to alert me to Rod Poole’s senseless death. I am shocked by this tragedy. I love microtonal music in general and Rod’s music in particular. I will certainly miss his work. I am not going to write anything because I can not say anymore than what David said at his website. Here is the link

A Math Art Moment #3

Delineation#3

Math illuminates the supportive skeletal structure of thought whereas Art illuminates the metaphoric wind, which blows through that structure.

To see more math art delineations click here

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 vispoets.com

I would like to dedicate this blog entry to Ed Schenk’s poem that he posted on vispoets.com 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.

Grumman's Christmas Poem 2007

Grumman's Christmas Poem

I would like to bring to your attention a poem I saw on Bob Grumman’s blog a few months ago. Bob basically has been doing most if not all of his recent mathematical poems in the form of long division. He rarely constructs a pure mathematical poem as almost all that I have seen are mathematical visual poems. The poem below is one such poem. Bob has been described by his friend Geof Huth as a curmudgeon and I have to admit that when I read his non-mathematical poems, his blog or his editorial writings I never find the boy child-like quality that he so beautifully expresses in some of his mathematical poems. Furthermore this poem has that particular boyish quality that can touch any man who allows it to happen. I feel it is one of Bob’s best. Here is a link where you can read Bob’s Blog entry where he talks about this poem.

A Mathematical Love Poem By H. K. Norla

I would like to give recognition to a wonderful mathematical love poem. I found the poem the other day on an abandoned blog by a young man named H K Norla. I tried to contact him but am not able to find an email address for him. His poem titled “Of X’s and Y’s” can be found on his blog here as well as my repost below.

I found his wonderful poem to be a great example of mathematical poetry with a new twist that I haven’t seen before. In between the pure math symbols he has made verbal statements that relate and segue to the adjacent equations. JoAnne Growney and Sarah Glaz are edition a book on mathematical love poems and I wish Mr. Norla was around to submit this piece to the book. (It may be too late anyway however, this is a wonderful poem)

The following is my visualization of Mr. Norla’s poem

Numerical Notation Bibliography

Here is a great source of information in general and a source for “Numerical Notation Bibliography” in particular. This is a link to a bibliography of 1047 academic publications about numerals, numeral systems, numerical notation and numeration. Compiled by Stephen Chrisomalis -- Here is a link to Stephen’s book page.

Thanks to Karl Kempton for pointing this out to us.

The Platonist Dilemma

I don’t see ‘Nature’ as mathematical
I see ‘Nature’ forcing us to be mathematical

Judgment

Quantify Not And Ye Shall Not Be Quantified!

A Math Art Moment #2

Delineation#2

Mathematicians generally agree on what is mathematically correct. Artists generally have no idea what is artistically correct.

To see more math art delineations click here

The Avrin Proposition

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.

Here in the Avrin proposition we are bouncing our understanding of the words and our feeling of the relationships against the resulting number and thus forming a comparison for metaphoric conflation. In another words the source domain of the metaphor is the statements “playing the lottery” divided by “ogling pornography” as well the statements “financial fantasy” divided by “sexual fantasy” and our target domain is the number “1”. Here we have a very good example of an aesthetic feeling involved in metaphor that conflates from number and words.

Thank you Bill Avrin for pointing this out!

Similar Triangles Poems

Similar Triangles Poems / Proportional Poems

I would like to map out the structure and show examples of what I call "Similar Triangles Poems"or "Proportional Poems". Let me use the example of Similar Triangles to help visualize the proportional relationship in this mathematical structure.

Let us first look at two similar triangles with sides labeled ‘a’ ‘b’ ‘c’ and the second with sides labeled ‘d’ ‘e’ and ‘f’ Notice the laws of geometry state that a/b is equal to d/e as shown below. I am going to call this latter equation "The Similar Triangles Relationship".

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.

The pedagogical example above uses rather mundane subject matter. To see more poetic examples, please click on the lablel for "Similar Triangles Poems" (below)