Counting syllables . . .

Musing this morning, this blogger found these words:

 My
hands
hold a pen
and my fingers
translate thoughts into
words on paper.  Sometimes
I meet someone who
thinks with fingers
like I do.

An AMS Presentation by Sarah Hart

      One of the strong and consistent promoters of connections between mathematics and the arts is Sarah Hart and she recently gave the 2025 Einstein Public Lecture at Clemson University (sponsored by AMS, the American Mathematical Society) entitled "A Mathematical Journey Through Literature."  

     Hart is the author of Once Upon a Prime: The Wondrous Connections Between Mathematics and Literature (Flatiron Books, 2023) -- NYTimes review here;  purchase info here.  Her presentation, summarized here in an AMS article entitled "The Axiom of a Sonnet," explored ways that the guidelines for a sonnet -- or other poetic structure -- are similar to the guidelines for a mathematical structure such as a group or a ring.  A thought-provoking quote from her presentation:

Counting and Rhyming

     Several days ago my email contained a surprise message -- containing a mathy poem --  from Ramandeep Johal, a theoretical physicist at IISER Mohali (Indian Institute of Science Education and Research) in northern India.  I offer Johal's poem below -- a poem from his 2016 collection, The Sea of Tranquility 

     From One to Ten     by Ramandeep Johal

          Some things you find in pairs
          some exist just alone.
          While a trinity needs
          some degree of unity,
          a group of four
          requires bit more.

Geometry in New York City

     As I grew up on a farm, mathematics -- with planting depth-and-distance measurements, with counting of animals and fenceposts, with angles of tree-branches, and many other basics -- was important background knowledge.  As I grew older and experienced more city-time, the mathematics I encountered was more complex.  When I visit Pittsburgh or San Francisco or New York City or . . . I feel the geometry that surrounds me.  And I was reminded of those geometric feelings when I recently encountered this poem:

Mayakovsky in New York:  A Found Poem     by Annie Dillard

     New York: You take a train that rips through versts.
     It feels as if the trains were running over your ears.

     For many hours the train flies along the banks
     of the Hudson about two feet from the water. At the stops,
     passengers run out, buy up bunches of celery,
     and run back in, chewing the stalks as they go.

     Bridges leap over the train with increasing frequency.

Remembering Poet Nikki Giovanni (1943-2024)

      I much admire the work of Nikki Giovanni -- a poet who spoke both fearlessly and eloquently.  As she deserved, her life was big news in the Washington Post  -- I learned of her passing (on December 9) in a front-page article that celebrated her work and her person.  Another informative Post  tribute to Giovanni is available here -- and a rich sampling of her poetry is available here at PoetryFoundation.org.

     Giovanni has not included math ideas in many of her poems but I did find some counting in "The Way I Feel" -- sampled in this blog at this link -- and I offer below a few lines from "Balances";  Giovaanni's complete poem is available here. 

Halloween -- Counting Pumpkins

     Recently I have found a website maintained by Jenna Laib, a K-8 math specialist in the Boston area -- and at her website there I have found a posting of a Halloween poem with accompanying prose that considers the value of using numbers to tell stories.  The poem is below -- and, along with it, the website offers many more.  

More about Raffi and Ken Whitely available at this  link.

Playing Hopscotch . . . and Counting . . .

      Growing up on a Pennsylvania farm gave me lots of opportunities to use mathematics -- counting sheep, choosing patterns for planting, and many kitchen tasks.  I also enjoyed occasional times to join friends at in-town playgrounds and, on their paved areas, hopscotch was one of our arithmetical and geometrical activities.  Recently I came across a wonderful online collection of poems by Maya Angelou (1928 - 2014) -- and, within it, this slightly mathy poem that includes hopscotch and also speaks of racial injustice:  

     Harlem Hopscotch    by Maya Angelou

     One foot down, then hop! It's hot.
     Good things for the ones that's got.
     Another jump, now to the left.
     Everybody for hisself.  

A Nickel, a Dime, a Dollar . . .

    In childhood -- and later also -- rhymes help us to remember.  I recall reciting, in early years. "Pme, two, buckle my shoe; three, four, shut the door . . ."  Here -- at the website, Empowered Parents -- are a number of counting songs and rhymes.

    Recently I found among the poems of one of my favorite poets -- Harlem Renaissance poet Langston Hughes (1902-1967) -- a delightful counting poem entitled "Brass Spittoons."  Here are some of its lines:

Haiku in Math Class

      One of my recent discoveries of math-poetry is in the activities of Hofstra University professor Johanna Franklin,   Franklin asks her students to compose Haiku and she has recently sent me the following material from various courses and semesters:

Math equals patterns
patterns not everyone sees
patterns we all need.
        (introduction to proofs, Spring 2023)

Why do I have my math students write haikus at the end of the semester? Because I love both poetry and playing with words, and the American conception of a haiku strikes me as a perfect poem for a mathematician: the counting of syllables, the symmetry.

Which of us have ARITHMOMANIA?

     One of my favorite email subscriptions is to A.Word.A.Day --  a day-to-day collection each week (gathered by Anu Garg)  of five related terms to learn anjoy.  On April 15, I learned the new word arithmomania  -- and quote the following from Garg's posting.

arithmomania     PRONUNCIATION: (uh-rith-muh-MAY-nee-uh)

MEANING:   noun: An obsessive preoccupation with numbers, calculations, and counting.

Thinking with my fingers . . .

Writing, to me, is simply thinking through my fingers.

Isaac Asimov (1920-1992)

This quote from science fiction writer Isaac Asimov is found here along with other related views.  For me also -- with poetry or math or some other subject -- writing is an important thinking strategy:  my fingers with my pen lead me to new ideas.  And counting syllables shapes my words like this:

 I
start with
just a few
words -- and write them --
AND my fingers help
to develop my thoughts.

Counting on Christmas . . .

      One of my favorite memories of Christmas when I was a child involves recitation -- with family or classmates -- of this holiday rhyme, "The Twelve Days of Christmas."  I include a few lines below, and a here is a link to the entire poem:

       On the first day of Christmas,
       my true love sent to me
       A partridge in a pear tree.

       On the second day of Christmas,
       my true love sent to me
       Two turtle doves,
       And a partridge in a pear tree.

       On the third day of Christmas,
       my true love sent to me
       Three French hens,
       Two turtle doves,
       And a partridge in a pear tree.

       On the fourth day of Christmas,
       my true love sent to me
       Four calling birds,
       Three French hens,
       Two turtle doves,
       And a partridge in a pear tree.                   
            . . .                                                             Read more here.

The First Thing . . .

Found in a posting on November 26 on Twitter the following thoughtful lines -- featuring counting -- by poet and editor Dr. Maya C. Popa,

The Thirst to Know HOW MANY?

    One of the important math-poetry projects that I have been involved in is Strange Attractors:  Poems of Love and Mathematics, a poetry anthology collected and edited by mathematician-poet Sarah Glaz and me -- published by AK Peters/CRC Press in 2008 and now available on Kindle and at various online used-book sites.

     A poem in Strange Attractors that I have been drawn to again recently is "Ode to Numbers" by Chilean poet Pablo Neruda (1904-1973).  Here are its opening lines: 

from  Ode to Numbers     by Pablo Neruda

          Oh, the thirst to know
          how many!
          The hunger
          to know
          how many
          stars in the sky!   

Is reading POETRY like reading MATHEMATICS?

Back in June I found an interesting article online by USAToday Entertainment Editor Pamela Avila  that raises questions about how to read poetry -- questions that are similar to those asked about reading mathematics.  I offer samples below:  

Here are words from poet Clint Smith, author of new poetry collection Above Ground and writer for The Atlantic:

"Sometimes we're taught to read poetry as if it's a code that we have to unlock or that it's a puzzle or a geometric proof with a specific answer," says  "I don't think that that's what poems are or should be."  ("Counting Descent" is a mathy poem that explores Smith's family history.)

The beauty of a poem can lie in not knowing. 

Life described by counting -- "My Math"

      One of my art-and-poetry friends, Kyi May Kaung alerted me to the online journal, Glass -- and I had lots of fun browsing in the archives . . . . and found (in Volume 1, Issue 2) a mathy poem-- which I offer below.

      My Math     by Allan Peterson

          Two egrets and three gulls are five,
          ten with shadows, doubles of the night in daylight,
          plus two for the red hawks watching.
          This is my math, just as I was multiplied by the bear
          and her cubs crossing at Chama,
          by the swarm of winged ants and the warblers
          that came frenzied for them.
          If I wait for the fall migration, if I am my integer
          while being stalked by bacteria,
          I might calculate an uneasiness of earth, including
          the skink that hides in the dryer vent,
          a continent about to shift in its chair, but I am impatient,
          still counting deliberately on my fingers and stars.

Another poem by Peterson with lots of numbers may be found here at poetryfoundations.org.

Creative, Mathy, Poetic -- Mathematickles

       The website of author and screenwriter Betsy Franco contains a great variety of literary links (including this link to this interview of Franco by Oprah).  Her writing includes poetry -- including collections of mathy poems for kids:  Counting Our Way to the 100th Day   and Mathematickles -- small mathy stanzas that are a bit like Haiku.

Here is a sample from Mathematickles: 

Mathematickles are math haiku that tickle your brain. Fun words take the place of numbers in all sorts of math problems. Math becomes playful, beautiful, sassy, and creative in this whimsical romp through the seasons! 

Mathematickles -- by Betsy Franco

 

BRIDGES Math-Poetry in Halifax -- July 27-31, 2023

     BRIDGES, an annual conference that celebrates connections between mathematics and the arts, will be held this year in Halifax Nova Scotia, July 27-31.  (Conference information available at this link.)  A poetry reading is one of the special event at BRIDGES and Sarah Glaz, retired math professor and poet, is one of the chief organizers of the event.  Here at her University of Connecticut website, Glaz has posted information about the July 30 reading along with bios and sample poems from each of the poets.   For poets not part of this early registration, an Open Mic will be available (if interested, contact Glaz -- contact information is available here at her website.)

Here is a CENTO I have composed using a line of poetry from each of the sample poems (found online at this link) by the 2023 BRIDGES poets:

HELLO, Numbers

     As a child, I learned to love numbers via counting rhymes (of which many are found at this Lit2Go website);  -- often I reinforced my number-memory by reciting  rhyming verses such as "One, two, buckle my shoe" and "Baa, Baa, Black Sheep" and enjoying the trick in "Going to St. Ives."  University of Arkansas mathematician Edmund Harriss (whom I met a bunch of years ago at a conference in Banff) and co-authors Houston Hughes (poet) and Brian Rea (visual artist) have a book -- HELLO NUMBERS! (published in 2020 by The Experiment).  This book, like those old rhymes, gives young readers the opportunity for fun with numbers as they learn.

Here's a sample:  

    Learning meets wonder
           when you invite numbers to come play in your imagination!

       First think of One peeking out from the night
       Like a point, or a dot, or a shimmering light.

Inventing Zero

     A Pennsylvania friend who is now in Oklahoma, Sharon Solloway -- whom I got to know when we were both faculty members at Bloomsburg University (now part of Commonwealth University)  --  shared with me on Facebook the following mathy poem,  "Inventing Zero" by Canadian astronomer Rebecca Elson (1960-1999).  Found in Elson's collection,  A  Responsibility to Awe (Carcanet Classics, 2018)  "Inventing Zero" is available along with other samples of Elson's work here at this link.

       Inventing Zero      by Rebecca Elson

               First it was lines in the sand,
               The tangents, intersections,
               Things that never met,
               And you with your big stick,
               Calling it geometry,