Blogging about Math and Poetry

      One of my recent online pleasures has been visiting the Poetry Blogging Network -- I was led there because it mentions my blog but I also found a rich array of other treasures to explore.  One of these is the book of kells -- a blog written by poet, editor, and teacher Kelli Russell Agodon.

     One of the very special poems I found (posted on February 3, 2024 ) is "Zero Sums" by Luisa A. Igloria  -- I offer below its opening lines:

     Zero Sums     by Luisa A. Igloria

          Driving back from the gym, I listen to
          a radio program where two mathematicians

          are talking about zero. I'm parked in front
          of my house, but their conversation keeps me

          glued to the seat. One of them says in math,
          whatever operation you do, you need to also be 

          able to undo—just like with multiplication and
          division. Unless you divide by zero, in which case

          you get the impossible. Or you get . . . .                   

Igloria's complete poem is found here.. 

.More about Virginia poet Luisa Igloria is available here.

This link leads to an earlier blog posting that features work by Igloria.

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.

Math in Shakespeare . . .

     Yesterday, April 23, is the day on which William Shakespeare's birthday is celebrated; he was born long ago in 1564 and the actual date is uncertain.   The BBC Radio Newshour today featured this event in its broadcast  and told of ways that Shakespeare used mathematical ideas in his writing.  A broadcast recording is available at this link; the Shakespeare-math info begins at approximately 25 minutes into the show.   Ideas come from a book that is coming out next September,  Much Ado About Numbers: Shakespeare's Mathematical Life and Times by Rob Eastaway. 

One of the interesting items I found as I browsed was the phrase

    eight score eight       in Othello -- a three-syllable way for saying 168.

     Here is a link to an article that focuses on Shakespeare's use of zero.

A Mathy Celebration of National Poetry Month

     It is a delight to me to see math and science publications including poetry!  Today I am enjoying the work of North Carolina poet Britt Kaufmann -- Kaufmann works as a math tutor -- and her poem "Midnight Calculus" appeared in the February 2024 issue of Scientific American.  The accompanying bio mentioned that Kaufmann took her first calculus course at age 47.

     More recently, under the heading "In Celebration of National Poetry Month," MAA FOCUS, the Newsmagazine of the Mathematical Association of America. another Kaufmann poem appeared, "Z-score of Zero."   (A z-score measures exactly how many standard deviations above or below the mean a particular data-number is.)  Kaufmann gives us a thoughtful poetic reflection of math on life!  

Honoring Math Teacher and Poet, Amy Uyematsu

      On Saturday, March 23 at 2 PM, a poetry-event is planned at Descanso Gardens in La Cañada Flintridge, California to celebrate the life of poet, math teacher, and activist Amy Uyematsu (1947-2023).  It was my pleasure to be connected to Amy via various math-related events and her work has been included in previous postings in this blog.  (Here's a link to a list of those earlier posts.)

     One of my favorite poems of Amy's is  "The Meaning of Zero:  A Love Poem."  The complete poem is found here at Poets. org and in the collection Strange Attractors:  Poems of Love and Mathematics-- and I offer its opening stanzas below.

Uyematsu's complete poem is available at this link.

Zero Man of India

     An interesting story that Google led me to is told in this article about "Zero Man of India" --  the article tells of  Shahbaz Khan, famously known as Shahbaz Hakbari, a multifaceted individual with talent in poetry, prose, mathematics, and education -- well-educated AND he he is a widely celebrated teacher.

"Mathematics and poetry may seem like two different worlds, but both require creativity, imagination, and thinking outside the box," Shahbaz Khan explained.

The article "Zero Man of India" contains many mentions of Khan/Hakbari's life as a poet -- but has no poems.  Nonetheless, the phrases quoted are poetic -- and, below, I have given two of them the shapes of  poems.

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:

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,   

Stimulate Math Class Discussion with Poems

     Sometimes teachers want to understand more about their students' attitudes and concerns about learning a particular subject.  Often, rather than asking direct questions like, "What is your difficulty?" or "Why don't you like geometry?" it can be useful to stimulate discussion with a poem.   The website of the Academy of American Poets, offers at this link a wide selection of poems about school subjects.  Scrolling down through this long list, eventually one comes to Poems for Math Class -- with poems for Algebra, Calculus, and Geometry.  

     One of the Academy's suggested poems is "Calculations" by Brenda Cardenas  -- I offer the first stanza below -- the complete poem is included here in this posting from November, 2017.  

          from    Calculations      by Brenda Cárdenas    

Seeing the World through a dual prism . . .

     Based in Melbourne, Australia, Tom Petsinis is a mathematics adviser at Deakin University and is author of nine poetry collections as well as theatrical works and books of fiction.  He also is involved in the worldwide BRIDGES organization --which meets annually to investigate and celebrate connections between mathematics and the arts.  This year's BRIDGES conference will be held July 27-31 in Halifax, Nova Scotia and next year's conference is planned for August 1-5, 2024 at Virginia Commonwealth University in Richmond, Virginia.

     Below is "Zero" -- a mathy poem by Petsinis which is also offered as a sample at this BRIDGES link (a link that advertises and celebrates those poets participating in the 2022 conference).

Math in Song Lyrics -- Joni Mitchell

       One of the fun surprises I have had recently is to discover mathematics in the lyrics of a once-popular song -- in "Ray's Dad's Cadillac" by musical legend Joni Mitchell, recent recipient of the Library of Congress Gershwin Prize for Popular Song.

     Joni Mitchell -- who has recently come back to the stage after serious illness -- has surmounted barriers to female achievement and recognition as have many math-women.  She has indeed "looked at life from both sides now" . . .   Below I offer two mathy stanzas from her song -- "Ray's Dad's Cadillac."    (The complete lyrics are available at this link).

from   Ray's Dad's Cadillac     by Joni Mitchell     

Poetry in Politics

      Numerical or alphabetical constraints often are used by writers to add shape and impact to their writing -- and such was the case in a recent speech by Hakeem Jeffries, New York Congressman and Democratic leader of the House of Representatives as he spoke on January 7 ;  Jeffries' speech went through the alphabet -- poetically directing his colleagues toward American Values instead of Autocracy, Benevolence over Bigotry . . . . all the way to Zealous Representation over Zero Sum Confrontation.  A wonderful illustration of the value of constraints in shaping ideas!

Create an abecedarian poem of your own: 
perhaps for a Valentine --
or to celebrate the coming of spring!

Here is a link to previous instances of abecedarian in this blog -- and below is a sample, my  abecedarian portrait of a mathematician.

In Praise of the Irrational

     Japanese-American poet and retired math teacher Amy Uyematsu recently has published a new poetry collection, That Blue Trickster Time (What Books Press, 2022) and she has given me permission to share this fascinating mathy poem -- which vividly links the mathematical with the personal --  from that collection.

   In Praise of the Irrational     by Amy Uyematsu

        :  Kanpai (that's Japanese for “cheers”)

       Hooray for the illogical,
       this tale of built-in contradictions,
       each perilous paradox that can
       drive us bananas – and the curious
       ways we keep the faith.

       There's a logic to zero –
       ask any mathematician, poet or priest -
       but don’t expect them
       to explain.

       There's a profound dependability
       in the irrational instincts
       of women – yes us – all
       tenderness, guts, and a fierceness
       no man will ever fathom.  

From a poetic artist -- "New Math"

     Neha Misra, one of my neighbors (in Eastern Village cohousing in Silver Spring, Maryland) is both a poet and a visual artist; in a recent conversation, I asked Neha if she had any mathy poems -- and she  volunteered the following lines-- full of rich mathematical terminology paired with multiple -- and thoughtful --  meanings.  Thank you, Neha!

New Math        by Neha Misra
 
Because I once scored 49 out of 50
in a Mathematical Physics exam
that I was so proud of, still am.
I do not remember much of
signs of sines and cosines.
I remember the differential equations
were all fine, but I was in love
with the curves of integration—
 
Because I once taught a scared young boy
in the confident body of a man
to not let his exponential fear of math
come in the way of his waking dreams
of flying with numbers.
Paper and pen in our hands,
together we melted his fear of math
into the heart of zero
and he flew     
far   far           far             away from me
on the infinite new wings of those numbers—  

Mathy Poems on YouTube

      In a recent posting -- 6/08/2022 -- I tell of mathematician-poet Sarah Glaz and link to her website that has a collection of links to works by various mathy poets that have participated in BRIDGES math-arts conferences.  Glaz not only offers connections to poet-information, she also offers links to YouTube recordings of poems -- and recently, to supply her with that, I worked with my granddaughter, Serena Growney, who has just finished her freshman year at high school and knows a lot more about using YouTube than I do.  Here's a link to our Growney-Growney YouTube collaboration.  (I had intended for Serena to focus on the book cover and not to catch my elbow, etc, in the background -- but perhaps all of that makes it more interesting.)  For viewers who like to see the text of a poem as well as to hear it, here is a link to a blog posting of "Things to Count On" -- and below I offer the text of the poem (a very new one), "A Tragic Mathematical Romance."

A Tragic Mathematical Romance        by JoAnne Growney

     Abscissa, my darling, what is the
     basis for your discontent?  When I
     calculate the
     distance between us, I
     even have trouble seeing it as
     finite – its growth has a steep
     graph, climbing out of my

India's National Math Day -- Poetic Quotes

     A recent math holiday that I remembered after it had passed is National Mathematics Day in India -- held on December 22 and celebrating the birth anniversary of Indian mathematician Srinivasa Ramanujan (1870-1920).   (An interesting math-item from India is the claim that the first recorded use of zero occurred there.)

     Ramanujan is celebrated in a poem by Jonathan Holden.  Its opening lines: 

Holden's complete poem is found here in this posting from 2/19/2011.

Stories of Quadrilaterals

     Sometimes I have time to browse my shelves and rediscover old favorites.  Several of this blog's much-read poems have come from Scottish author Brian McCabe (Find blog search results at this link) -- and below I offer the first part of McCabe's two-part poem ("Two Quadrilaterals") entitled "The Restless Square."

Two Quadrilaterals    by Brian McCabe

     Part 1.  The Restless Square  

          There was a square who yearned
          to become something else.

          It stretched its legs to mimic
          an elegant rectangle but
          lost its balance, leaned over
          in a perilous parallelogram.    

After loss we have nothing--which is something ...

     A poet whose work I much admire is A. E. Stallings -- born in the US, in Georgia, but now living in Greece.  This poem -- a sonnet -- deals with the paradox that nothing is something -- as with the integer zero and with the absence of a loved one.  The poem was written for her father who taught statistics at Georgia State University.

     Sine Qua Non     by A. E. Stallings

       Your absence, father, is nothing. It is naught—
       The factor by which nothing will multiply,
       The gap of a dropped stitch, the needle's eye
       Weeping its black thread. It is the spot
       Blindly spreading behind the looking glass.
       It is the startled silences that come
       When the refrigerator stops its hum,
       And crickets pause to let the winter pass.

       Your absence, father, is nothing—for it is
       Omega's long last O, memory's elision,
       The fraction of impossible division,
       The element I move through, emptiness,
       The void stars hang in, the interstice of lace,
       The zero that still holds the sum in place.

"Sine Qua Non" is found in Stallings' collection Hapax (Northwestern University Press, 2006) and also in the anthology Strange Attractors:  Poems of Love and Mathematics (AK Peters/CRC Press, 2008).

 A wonderful collection of Stallings' poems is available at the PoetryFoundation website -- and more about this poet and her work is may be found here at her at Stallings' website.

Opposites Attract

     Poems by visual poet Karl Kempton are always fascinating and often mathy.  Here, from Kempton's collection, poems about something and nothing (Paper Press, 2015) is one of my favorites: 

zero
the mirror
oblivion holds
wearing the mask
of infinity

 

AND

Here is a link to Kempton's collection 3-CUBED:  MATHEMATICAL POEMS 1975-2003.

And here is a link to previous presentations of Kempton's work in this blog.

Shaping Poems with Numbers

      Numerical patterns can help guide our minds and fingers to create poems -- and one of the patterns I like is the Fibonacci numbers -- a number sequence for which the first non-zero numbers are both 1, and each succeeding number is the sum of the two preceding numbers.

          1, 1, 2, 3, 5, 8, 13, 21, 34, . . .

Formation of a six-line poem using the first 6 of these numbers as syllable-counts, gives a tiny poem that has been named a Fib.

For me, using these Fibonacci numbers  -- starting small and growing -- as syllable counts offers a nice structure for developing my thoughts around a particular topic.  I like it for myself (a couple examples below) and I suggest to my students when I am asking them to share their math-related viewpoints. 

   When                                                   When
   your                                                      your
   father                                                   mother
   is mathy                                               is mathy
   what are the chances                          what are the chances
   that interest is passed to you?           that interest is passed to you?

 These days I celebrate the fact that I have granddaughters who like math!