The Unreasonable Effectiveness of Mathematics

      Daniel May -- professor at Black Hills State University in South Dakota -- enjoys not only teaching mathematics to future teachers but also exploration of the combinatorics of card games and the poetry of mathematical patterns and ideas.   He spends his summers working with Bridge to Enter Advanced Mathematics (BEAM), a mathematics enrichment program for under-served public middle school students in New York City and Los Angeles.

     Below I offer a poem by May that was part of the program at the recent BRIDGES Conference.  (May's poem also is found with lots of BRIDGES poetry and poet-information here at the website of Sarah Glaz.)

          Eight Minutes     by Daniel May

          Eyelids closed,
          warm
          sunlight shining

          bright

          onto my thin skin.
          Earth below me, lush and vibrant from
          our star's
          nearly infinite rays.

Math can lead us to Poetry . . .

      As I age and find myself slowing down in my math-poetry ventures it is a delight to see other mathy writers surging with energy and thoughtful publications.

     One frequent source of math-arts connections is Sarah Hart, Professor Emerita of Mathematics, School of Computing and Mathematical Sciences, Birbeck University, London.  Here is a link to an article by Hart containing material excerpted from her collection Once Upon a Prime:  The Wondrous Connections Between Mathematics and Literature (Flatiron Books:  New York, 2023).  

     Once Upon a Prime is a prose explanation completed with frequent literary examples.  Here is a poem that her daughter, Emma, wrote "for Mummy's book." 

Math films -- and a Pi-song

     A film project worthy of support (and found at this website) is JOURNEYS OF BLACK MATHEMATICIANS: A documentary project by writer and film-maker George Csicery.   Severely underrepresented in mathematics, African Americans have played important roles as researchers and educators in the field. This documentary traces the history of the individuals who worked as pioneers in expanding the presence of African Americans in mathematics.

Go to this link (the same one as sbove) and scroll down for access to the films in Csicery's collection; featured mathematicians include:  Evelyn Boyd Granville, Robert Edward Bozeman, Edray Goins, Johnny L. Houston, Monica Stephens Cooley,  Ulrica Wilson, Omayra R. Orgega, Virginia K. Newell, Scott Williams, Duane Cooper, Talitha M. Washington . . .

     I close with the opening lines of a song, written by Mitchell Moffit and found at this link, that can be helpful in memorizing many digits of pi -- an amazing endeavor that some people undertake.

A blog posting written by ChatGPT 3.5

     For a long time I have been curious about what would result if I asked AI to write a blog post for me.  One day recently I signed in at https://chat.openai.com/ and was asked by ChatGPT 3.5,  "How can I help you today?"  Copied and pasted below is our conversation (copied from this link).  (I am disappointed that ChatGPT's respones did not, as my postings usually do, include a poem.)  Read -- and reflect!

I have a blog entitled "Intersections -- Poetry with Mathematics" and I would like Chat GPT to write a blog posting for me.  

From ChatGPT: 

Title: Exploring the Symmetry of Numbers: A Mathematical Poetic Journey

Welcome back to "  Intersections -- Poetry with Mathematics"! Today, let's delve into the captivating world where numbers and poetry intertwine, creating harmonies of symmetry and rhythm. Join me on this whimsical voyage where mathematical concepts dance with lyrical verses, inviting you to see the beauty in both.

Celebrate Pi

     Soon it will be Pi-Day (3.14) and this year I again call your attention to a poem by one of my long-time favorite poets -- the poem "Pi" by Polish Nobel Prize-winning poet Wislawa Szymborska (1923-2012).   I offer a portion of the poem below (followed by a link to the complete poem).

from    Pi     by Wiwlawa Szymborska  

 (translated from Polish by Clare Cavanaugh and Stanislaw Baranczak (1946-2014)).

     The admirable number pi:
     three point one four one
     All the following digits are also initial,
     five nine two because it never ends.
     It can’t be comprehended six five three five at a glance,
     eight nine by calculation,
     seven nine or imagination,
     not even three two three eight by wit, that is, by comparison
     four six to anything else
     two six four three in the world.
     The longest snake on earth call it quits at about forty feet.
     Likewise, snakes of myth and legend, though they may
                hold out a bit longer.
     The pageant of digits comprising the number pi
     doesn’t stop at the page’s edge.        . . .
               .  .  . 

The entire Szymborska-poem is may be found here at the website "Famous Poets and Poems" and also here in an online pdf of the booklet Numbers and Faces:  A Collection of Poems with Mathematical Imagery -- a collection that I edited on behalf of the Humanistic Mathematics Network.

This link connects to a list of previous blog-posts of Pi-related poems. 

Poets for Science -- Poetry Exhibit

     In 2017 poet Jane Hirschfeld curated an exhibit entitled "Poets for Science".  It was featured in Washington, DC on Earth Day, April 22, 2017, when demonstrators around the world participated in a March for Science, a call to support and safeguard the scientific community.  Since 2017 the exhibit has been hosted by various locations.  (More information at this link.)

     The Poets for Science Exhibition features a Special Collection of human-sized poems banners, with each poem in the collection specifically chosen by Hirshfeld to demonstrate the connection between poetry and a particular area of science, from the Hubble Telescope and MRI machines to childhood cognitive development, biology, ecology, and natural history.  

     Connection between poetry and mathematics is exhibited by the poem "Pi" by Nobel-prize-winning poet Wislawa Szymborska (1923-2012)  (translated from Polish by Clare Cavanaugh and Stanislaw Baranczak (1946-2014)).  I offer a portion of the poem below (followed by a link to the complete poem).

Pi     by Wislawa Szymborska  (translated by Barańczak and Cavanagh)

Poetry found in Scrabblegrams

      Poetry is often shaped by constraints -- syllable counts, patterns of rhythm and rhyme, and others -- and a writing constraint that has come to my attention recently is the "Scrabblegram."  I learned of the Scrabblegram in a blog posting by Marian Christie -- it is a collection of words that uses each of the 100 Scrabble-tile (including the pair of blank tiles, identified as needed) exactly once.

     Christie's blog introduced me to the work of David Cohen who -- using the Twitter handle @dc_scrabblegram -- posts a Scrabblegram daily.  Here is a link to Cohen's website.  And here is a mathy Scrabblegram verse that he posted on Twitter on World Maths Day, March 8, 2023.

A Scrabblegram from David Cohen.

Here is a link to another of David Cohen's Scrabblegrams -- this one features PI (and is also offered as a comment to my March 6 posting).        And here is one about the Fibonacci sequence.               

Celebrate Pi-Day

 3 . 1 4 1 5 9 2 6 5 3  .  .  . 

March 14  -- that is, Pi-Day -- will soon be here.  One of the ways of celebrating  π  is with dessert pastries (pies)  -- but a  π-day  greeting often takes on the challenge of a message in Pilish -- a language whose word-lengths follow the digits of  π -- a challenge that students often enjoy!   An example:

Hug a tree, I shout -- hungering to defend trees and  . . .

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.  

Celebrate Pi -- and Poe

     Recently I came across a link I had saved to an article from last June in the Washington Post -- an article that considers Edgar Allan Poe (1809-1849) and the scope of his influence.  Poe's poem "Sonnet -- To Science" was posted in this blog at this link back in October, 2013 but today, as Pi-Day (3.14) approaches, I am thinking of his poem, "The Raven."  Mathematician Mike Keith has written a version of "The Raven" in Pilish, an arrangement of words whose lengths follow the digits of Pi (when the digit 0 occurs, a 10-letter-word is used);  the complete Pilish version is found at this link.   Here are its opening lines:

3.14159265358979323846264338327950288419716 . . . .

 My own attempts at Pilish are much more modest and today I quote from a posting in March, 2018:

     Hug a tree, I shout -- hungering to defend trees
                    and every creation . . .

     In San Francisco, the Exploratorium Museum -- which reports that it invented Pi Day to honor not only Pi but also to remember Albert Einstein's Birthday -- will celebrate the holiday with programs that feature John Sims, a mathematical artist (and also someone who has been previously noted in this blog).

Aelindromes -- and Pi

     On Twitter, I have seen frequent posts by UK-based writer Anthony Etherin -- and, encouraged by mathy poet Marian Christie, I have found it interesting to explore his work.  Etherin focuses on constrained, formal, visual, and experimental poetry -- he tweets @Anthony_Etherin; he manages Penteract Press.  AND  Etherin has invented a new type of writing-constraint called the aelindrome -- a bit like the palindrome ( such as  top spot  or  never odd or even ) except that the reversals involve more than one letter.   Here is a simple example of an aelindrome: 

melody, a bloody elm  which can be divided into   m el ody ablo ody el m

Found in a Twitter posting by @Anthony_Etherin on 10/21/21 is this aelindrome whose segment-lengths follow the first 14 digits of pi;  31415926535897

       Moonless Moonlight        by Anthony Etherin

       Low, fatal nights! Late, moonless.... Tense, we glitch.
       We swim bled sky, along the ashy glow.
       Shy glow along the ambled sky, we switch.
       We glisten -- see slate moonlight's natal flow.

Go here to learn more of Anthony Etherin and his work.

BRIDGES -- connecting math and poetry

     The BRIDGES Math-Arts organization held its 2021 conference (early in August) online  -- and, although many of the meetings were available only to registrants, archives of papers are available at this link to all who are interested.  

BRIDGES papers and events that link poetry and mathematics have been thoughtfully publicized by University of Connecticut emeritus professor Sarah Glaz who has created a webpage "Mathematical Poetry at Bridges" for that purpose.  On that webpage are links to pages for individual Bridges conferences as far back as 2010 -- with poetry involvement in the conferences increasing in the later years.  Here is a link to "Mathematical Poetry at Bridges 2021" -- a page with links to sample poems from more than 30 poets and also video readings of numerous poems.     VISIT the site and savor the poems.

Below I offer one of the poems from the Bridges 2021 site.  Playing with various ideas of "infinity" poet and math teacher Amy Uyematsu has created "This Thing Called Infinity" -- and she given me permission to offer it here. 

     This Thing Called Infinity     by Amy Uyematsu

Favorite -- most visited -- Posts

Because this blog has more than a thousand posts, spread over more than eleven years of posting, finding best information can be challenging.  The SEARCH feature in the right-hand column) and this linked file of names of poets and math-people and blog-content topics can be useful.  And, when time permits, browsing offers lots of fun.  Here, for the curious are the TOP TEN postings -- that is the postings that have had the most visitors since the blog's beginning in March, 2010.    

ENJOY!

These are titles and links to the ten posts most visited in this blog since its beginning in 2010.

from September 2, 2010    Rhymes help to remember the digits of Pi   

from October 13, 2010   Varieties of Triangles -- by Guillevic

from March 29, 2010    "Mathematical" Limericks   

from February 11, 2011   Loving a mathematician (Valentine's Day and . . . )

from September 29, 2017   Poetry . . . Mathematics . . .  and Attitude  

from February 18, 2011   Srinivasa Ramanujan    

from January 8, 2016   The world is round . . . or flat!

from February 22, 2011    Poems of set paradox and spatial dimension

from  June 22, 2021    Interpreting Khayyam -- in Rhyme

from April 19, 2010      Poems with Fibonacci number patterns

 

Looking back . . . to previous posts . . .

  BROWSE and ENJOY!

Back in January 2020 I gathered a list of titles of previous posts and posted it here at this link.  And below I offer titles of postings -- with links -- since that time.

And, if you are looking for a post on a particular topic,
you are invited to explore the SEARCH feature in the right-hand column
OR to browse the list of  Labels (also to the right) -- and click on ones that interest you.

 

TITLES OF POSTS (with links) 

June, 2021    

      Math Communication with Poetry -- Strogatz Prize

      One More Love Poem

      Interpreting Khayyam -- in Rhyme   

      Putting CALCULUS into a poem . . .  

      Images of a Complex World   

      Encryption and Love   

      Every Seventeen Years . . .   

      A Life Made to Count   

      A Few Lines of Parody   

      Euclid and Barbie -- and attitudes toward math . . .

 

May, 2021      

      A Mathy Rhyme from Twitter   

      A Rhymer and an Analyst -- a Friendship   

      What does CANCEL mean? -- some poetic wordplay!   

      MoMath Celebrates Limericks!  

      Reflecting on Pi . . .   

      Keeping Track of Chairs   

      Mathematical Forms in Poetry . . .  

      Mathy Jokes    

      Climate Concerns   

      Celebrate Math-Women -- Celebrate AWM  

Reflecting on Pi . . .

     A few months ago I got an email from Adaobi Chiemelu, a Nigerian poet and spoken word artist who studied studied mathematics at the University of Nigeria.  Recently Adaobi has sent me one of their poems -- about division and infinity and pi and . . . 

Dividing Together     by Adaobi Chiemelu

The cake was holy communion
You picked one piece not fatter than your two fingers
You smiled
You watched as the next person went on to do same 
          and put the same in their mouth
You thought of pi     

Pi-ku Contest in Australia -- deadline Two Pi Day

     Using syllable counts to help to craft poems has been with us since the sonnet and this blog has often presented square poems and Fibs and Pilish and . ..  and today we again focus on the digits of  π.  On Pi-Day (3/14) Australia's Cosmos Magazine opened a Pi-Ku Contest which asks for brief Haiku-like poems whose syllables-per-line are counted by the first six digit of the decimal value of  π.  (Contest information is available at this link.)  Entries must be submitted by 2Pi-Day, or 6/28.

     Here are two mathy samples from the Cosmos contest-information site:  

        Learning STEM
        is
        necessary.
        Do
        remember science,
        technology, engineering, maths.     by Jennifer Chalmers

        To say safe,
        Keep
        an area
        of
        Pi times one point five
        metres squared around yourself always.       by Lauren Fuge  

Other poetry forms shaped by the digits of  π include π-ku and Pilish.

MATH-GIRL gives us Pi

     Sunday, 3/14, will be Pi-day and I celebrate here with a comment in Pilish from my imagined author MATH-GIRL.  And before the poetic words let me call to attention a non-imaginary story about an amazing woman who calculated trillions of digits of pi.   Go here for an NPR story about the Guinness World Record set by Emma Haruka Iwao. 

     MATH-GIRL calculates PI

       3.    Now
       1    a
       4    girl --
       1    a
       5    suave
       9    innovator
       2    of
       6    future
       5    style
       3    and
       5    sharp
       8    numeracy --
       9    carefully
       7    fathoms
       9    diameters
       3    for
       2    us.
                 .  .  .

What are the next words that you see for MATH-GIRL? 

Here is a link to several previous Pi-Day/Pilish postings in this blog.

Observe Pi-Day by writing in Pilish

      Many poets use constraints to shape their writing but few are as constrained as mathematician Mike Keith who has written many works in Pilish -- that is, a language in which the flow of words have lengths that follow the digits of Pi.  In honor of 2020's Pi-Day on 3.14, I have developed a small bit of Pilish, a poem of sorts, which I offer below.

 

 Entering the term "Pilish" into this blog's SEARCH box finds these earlier postings that celebrate Pi. 

 The first 50 decimal digits are 3.14159265358979323846264338327950288419716939937510 . . .

The world of Math Girls . . .

     This past weekend my oldest granddaughter turned sixteen -- and I intensely want every career door to be open to her and to my other granddaughters (and my grandson).  The times are changing, new doors are opening for girls and women,  Still, these syllable-square thoughts are on my mind this morning.  

     Math Girls     

          A math girl must be       
          smarter than the rest –-
          yet must be modest
          and never claiming.
          Math-World is not fair.

And here are more of my mathy-perhaps-poetic thoughts.

     When you’re a math girl you may be the only girl in the room.
          A math girl must be three times as good to be equal.   

Browse Math-Poetry Links . . .

     Today I invite you to browse -- to spend a moment reading titles, clicking on a title that intrigues you.   ENJOY!

• TITLES OF POSTS (with links)
•      January, 2020
  •     We become what we think . . .
  •     With bits of mathematics, a poem for a New Year
•      December, 2019 
  •     Poetry made visual with math terms
  •     Math-poetry in support of immigrants
  •     Counted syllables --> holiday wishes . . .
  •     Where are you from?
  •     Writing to Learn -- try Haiku