"Binary Heart" -- linking love and mathematics

      From the xkcd webcomic by Randall Munroe -- and also shown on the cover of Strange Attractors: Poems of Love and Mathematics, we have this reminder of upcoming Valentine's Day.

"Binary Heart" by Randall Munroe,
at https://xkcd.com/99/

     Munroe's clever drawings "of romance, sarcasm, math, and language" have appeared also in previous postings in this blog (here's a link) and his website is fun to visit.
     The anthology, Strange Attractors; Poems of Love and Mathematics-- edited by Sarah Glaz and me -- was published in 2008 by AK Peters and contains more than 150 poems of math and love (including another -- "Useless" -- by Munroe.)  More about Munroe is available here.

The Cube of the Rainbow

     Later this week a scheduled screening (in nearby Takoma Park, MD) of a film about Emily Dickinson (1830-1886) has prompted me to return to some rereading of Dickinson's verse -- which is occasionally mathematical.   For example:

       We shall find the Cube of the Rainbow     by Emily Dickinson

       We shall find the Cube of the Rainbow.
       Of that there is no doubt.
       But the Arc of a Lover's conjecture
       Eludes the finding out.

The stanza above is found in many places; my source is Strange Attractors:  Poems of Love and Mathematics, ed. by S Glaz and JA Growney (AK Peters/CRC Press, 2008).  This link leads to previous postings of Dickinson's work in this blog.

"My number is . . ."

    More than twenty years ago I found and admired Montana poet Sandra Alcosser's poem, "My Number" (included in Except by Nature, Graywolf, 1998) -- and I included it in a small anthology, Numbers and Faces, that I edited; (published in 2001 by the Journal of Humanistic Mathematics).  "My Number" also has more recently also been included in Strange Attractors:  Poems of Love and Mathematics  (Edited by Glaz and Growney: AK Peters/CRC Press, 2008).

My Number     by Sandra Alcosser

I’m linked with the fate of the world’s disasters 

and only have a little freedom to live or die.

VITESLAV NEZVAL

My number is small.  An hundred pounds of water,

A quart of salt.  Her digit is a garment.

I wear her like a shadow.  We judge each other,
My number and I.  She is the title.  The license.

The cash drawer.  My random number.
She protects me from myself.  She desires me.

She says she’s only one of thirty million species.
She wishes she were more than anecdotal evidence.

Is TWO more than ONE?

     A poetry friend reminded me recently via email of the poetry of Shel Silverstein (1930-1999) -- both humorous and provocative.  The emailed poem was "Zebra Question" and it employs the strategy so often considered in mathematics -- in testing the truth of a statement, consider also the opposite.   Silverstein's "Zebra Question" opens with these lines:

       I asked the Zebra,
       Are you black with white stripes?
       Or white with black stripes?
       And the zebra asked me,
       Are you good with bad habits?
       Or are you bad with good habits?     

Mathematics and Valentine's Day

     On February 12, 2011, this blog first offered poetry to celebrate Valentine's Day -- and there presented Hannah Stein's poem, "Loving a Mathematician."  Please follow this link and enjoy!
     A perfect way for math-fans to celebrate Valentine's Day is with some "poems of love and mathematics."   Many such poems have been collected in the anthology, Strange Attractors: Poems of Love and Mathematics (AK Peters/CRC Pres, 2008), edited by Sarah Glaz and me.  One of the classics included therein is as a long-loved sonnet by Elizabeth Barrett Browning (1806-1861)  -- here are its opening lines:       

     How do I love thee?  Let me count the ways.
     I love thee to the depth and breadth and height
     My soul can reach . . .

Make time to celebrate love and mathematics!   To find more verses SEARCH this blog using the term Valentine and scroll down through the variety of posts.

The Heart's Arithmetic

     For me, the Christmas holiday season is a time for family gathering and a treasured time for that reason.  Today my thoughts turn to one of my favorite poems of family and mathematics -- a poem by much-too-soon-departed poet Wilmer Mills (1969-2011),  a poem first published in Poetry and also also found here at the Poetry Foundation website. 

     An Equation for My Children  by Wilmer Mills

     It may be esoteric and perverse
     That I consult Pythagoras to hear
     A music tuning in the universe.
     My interest in his math of star and sphere
     Has triggered theorems too far-fetched to solve.  

Chaos theory -- portrayed in poetry

     A poem I have long loved is "Chaos Theory" by poet (and fiction writer and scholar) Ronald Wallace -- and he has given me permission to offer it below.

Chaos Theory     by Ronald Wallace

    1. Sensitive Dependence on Initial Conditions

       For want of a nail the shoe was lost,
       for want of a shoe the horse was lost,
       and so on to the ultimate loss—a battle,
       a world. In other words, the breeze
       from this butterfly's golden wings
       could fan a tsunami in Indonesia
       or send a small chill across the neck 
       of an old love about to collapse in Kansas
       in an alcoholic stupor—her last.
       Everything is connected. Blame it on
       the butterfly, if you will. Or the gesture
       thirty years ago, the glance across
       the ninth-grade auditorium floor,   

Qualitative thinking in a quantitative era . . .

Chemistry Nobelist  Roald Hoffman also is a poet, 

and an advocate of holistic education.

Many thanks to Australian poet and STEAM advocate, Erica Jolly, 

for reminding me of the importance of Hoffmann's work.

HEIGHT     by Roald Hoffmann

The man
who said
when you're on top
of a mountain
you can't see it
was a miner. 

The tiny poem above is found here on Hoffmann's website.

Math Is Beautiful and So Are You

 Read on for a poem of love and mathematics! 

    This poem celebrates an upcoming wedding . . .  one of my two wonderful sons will be getting married next Saturday to a lovely and special woman -- and this delightful occasion also will bring a host of scattered family members together.  I am thrilled by all of this and offer, for readers also to celebrate, a lovely poem:

Math Is Beautiful and So Are You     by Becky Dennison Sakellariou

     If n is an even number
     then I'll kiss you goodnight right here, 
     but if the modulus k is the unique solution,
     I'll take you in my arms for the long night.  

Celebrating Visual Poetry

     One of my delights in both poetry and mathematics is the multiplicity of meanings that come from careful attention to a particular text.  Today I have been revisiting the work of visual-poets Robert "Bob" Grumman (1941-2015) and  Karl Kempton and loving the surprises as I rediscover them.  Visual-mathematical poet Kazmier Maslanka in his blog, "Mathematical Poetry,"  generously features the work of many other poets beside his own -- and here (from this link) is one of Kempton's poems:

by Karl Kempton

Speaking, understanding . . . where is truth?

     A review in the Washington Post of a new book about Oscar Wilde opens with this quote:

"Man is least himself when he talks in his own person."

and Wilde's words have gotten me thinking again about subtleties of language.
     Also in recent news, the death of Nobelist V. S. Naipaul (1932-2018) -- and here is one of  this writer's thought-provoking statements:

            Non-fiction can distort;
            facts can be realigned.
            But fiction never lies.            V.S. Naipaul, A Bend in the River

My own thoughts about language most often focus on the condensed languages of mathematics and poetry -- and the need for frequent re-readings before understanding arrives.  Here, below, I include a poem by Stephanie Strickland that speaks eloquently of the struggles in which our minds engage concerning objects and the symbols that represent them -- struggles that are involved in creating and reading both mathematics and poetry . . .

     Striving All My Life     by Stephanie Strickland

     Maxwell said: There is no more powerful way
     to introduce knowledge to the mind than … as many different
     ways as we can, wrenching the mind   

NOTHING is SOMETHING

Thinking today about ZERO -- zero tolerance, zero fear!

     In recent days, there's been widespread reporting of results of a study done by the National Academies of Sciences, Engineering and Medicine concerning the large number of instances of sexual harassment in scientific professions, the most common type being   "degrading jokes and comments that made women feel excluded."
     These findings take me back to the 1980's and "affirmative action" at Pennsylvania's Bloomsburg University (where I was a member of the Mathematics Department).  The University had an Affirmative Action Officer who worked to help faculty and staff develop behaviors and policies that endeavored to end discrimination against women and minorities.  One important test of the appropriateness of an activity was a "symmetry test" -- if a remark or act did not seem proper when the roles of two participants were reversed, then the original was probably something to avoid. In those days, my male colleagues needed to reconsider some of their behaviors and I needed to overcome my fear of speaking up.
      The concept of  zero as "something" that signifies "nothing" is an ever-thought-provoking one.  In support of ZERO TOLERANCE -- with a goal of NOTHING, I offer the following poem, "The Zero," by Israel Har.   

Embrace both art and mathematics

      A recent news article in The Hofstra Chronicle opens with a statement attributed to John Adams that begins something like this:

          I must study Politiks and War that my sons
               may have liberty to study  ...

And then, questions begin -- 
          is it painting and poetry 
                 or mathematics and philosophy      that should follow.

But why must a divide be proposed?

Whether mathematics or painting or philosophy or poetry, let us connect the best thoughts of each -- let our STEM be STEAM.  In this vein, consider the opening stanza of  "To Divine Proportion,"a sonnet by Rafael Alberti (translated from the Spanish by Carolyn Tipton):    

Find a Mathy Valentine!

As the 2018 version of Valentine's Day draws near, I urge you to visit past postings to sample the variety contained in my years of collecting -- if you are looking for Mathy Valentines:

 do a blog Search using Valentine

      Two of the poems in the anthology that Sarah Glaz and I edited -- Strange Attractors:  Poems of Love and Mathematics (AK Peters/CRC Press, 2008)  -- have the title "Valentine."  Here is the final line of the one by Katharine O'Brien:

         . . . won't you be my cardioid?

and the final pair of lines of Michael Stueben's verse:

       I love you as one over x,
       as x approaches zero.

Sending my wishes a week ahead of time, Happy Valentine's Day!

Math-poetry for Black History Month

     Recently I have revisited my post (from October 2, 2012) that offers a puzzle poem by math-science guy Benjamin Banneker (1731-1806), "The Puzzle of the Hound and the Hare" and available here.   
     This link leads to several more posts that also offer mathy poems linked to African-American history and culture.  And here, below, is a treasure to enjoy in any month:

     Addition     by Langston Hughes (1902-1967)

     7 x 7 + love =
     An amount
     Infinitely above:
     7 x 7 − love.

Hughes' poem "Addition" is found in the anthology Strange Attractors: Poems of Love and Mathematics (AK Peters/CRC Press, 2008), edited by Sarah Glaz and me and first posted in this blog, along with other poems celebrating to Black History Month, on February 20, 2011.

Perfectly Matched -- Poetry and Mathematics

     Mathematician Sarah Glaz has recently published a lovely and varied collection of math-linked poetry -- choosing her title, "Ode to Numbers," to echo Pablo Neruda. That Neruda poem is one that Glaz and I have long-loved -- it is included in our anthology, Strange Attractors:  Poems of Love and Mathematics (AK Peters/CRC Press, 2008).
     In recent days I have much enjoyed reading -- and rereading -- the variety of poems included in Glaz's new collection Ode to Numbers (Antrim House, 2017).  The publisher's author-page includes several sample poems and one of them, "A Woman in Love," offers this appropriate self-description:

               I see a streak of mathematics
               in almost everything.

Glaz's poetry takes a reader to childhood days in Romania, to mathematics conferences, to a variety of topics in the history of mathematics, and to the inner workings of a beautifully creative mathematical mind.  One of my personal favorites among poetic forms is the pantoum -- I love the way that permuted repetition of phrases offers surprising new meanings -- and Glaz's collection offers several of these.  Earlier in this blog (at this link) I posted "A Pantoum for the Power of Theorems" and below, with permission, I offer "Mathematical Modeling."

     Mathematical Modeling     by Sarah Glaz

     Mathematical modeling may be viewed
     As an organizing principle
     That enables us to handle
     A vast array of information 

Chains of Reasoning

     In a recent conversation about mathematics, one of us said, "Mathematics is not about what is true, or cannot be, but is a collection of valid chains of reasoning."  And from there my mind wandered on to Clarence Wylie's sonnet (offered below) -- which is the final poem in a wide-ranging anthology that Sarah Glaz and I edited : Strange Attractors:  Poems of Love and Mathematics (A K Peters/CRC Press, 2008).  Enjoy Wylie's play with thinking about the "holy order" of mathematics.

       Paradox      by Clarence R Wylie, Jr. (1911-1995)

       Not truth, nor certainty. These I forswore
       In my novitiate, as young men called
       To holy orders must abjure the world.  

Fondness for numbers . . .

     Today I am looking back to a posting on 23 April 2011 that includes the first stanza of one of my favorite mathy poems; here is a copy-and-paste of a part of that day's entry.
      A poem that offers affection for mathematics is "Numbers," by Mary Cornish, found as Poem 8 at Poetry 180 (a one-a-day collection of poems for secondary students) as well as at The Poetry Foundation. Cornish's poem begins with this stanza:

     I like the generosity of numbers.
     The way, for example,
     they are willing to count
     anything or anyone:
     two pickles, one door to the room,
     eight dancers dressed as swans.   

Poetry by Victorian Scientists

     Thanks to Greg Coxson who has recently alerted me to this 2011 article by Paul Collins in New Scientist, "Rhyme and reason: The Victorian poet scientists."  In the article, Collins is reviewing an anthology edited by Daniel Brown entitled The Poetry of Victorian Scientists: Style, Science and Nonsense (Cambridge University Press, Reprint-2015).
     The article has links to poetry by James Clerk Maxwell (1831-1879), William J. Macquorn Rankine (1820-1872), and James Joseph Sylvester (1814-1897).  Below I offer two of the eight entertaining stanzas from Rankine's poem, "The Mathematician in Love." (This poem and Maxwell's "A Lecture on Thomson's Galvanometer" also appear in the wonderful anthology that Sarah Glaz and I edited -- Strange Attractors:  Poems of Love and Mathematics (A K Peters/CRC Press, 2008, now available as an e-book.)

from  The Mathematician in Love     by William J Macquorn Rankine  

Math-themed poems at Poets.org

     The poetry website Poets.org is a wonderful source of thousands of poems.  During one recent visit to the site, I saw that they have a collection of themes and, when I examined these themes, I found that one of these is "Math"  -- and I enjoyed taking time to explore.
     When I read mathy poems by non-maths often I am intrigued by their alterations of correct mathematical statements -- part of "poetic license." Non-maths can use intriguing language that I, with my mathematics background, could not allow myself to say.  For example, George David Clark's poem "Kiss Over Zero"  has this opening line:

anything over zero is zero

I was delighted to find in this math-themed group several old favorites, one of which is "Counting" by Douglas Goetsch -- a poem among those Sarah Glaz and I gathered a few years back for the anthology, Strange Attractors: Poems of Love and Mathematics (A K Peters / CRC Press, 2008) -- now available as an e-book.