Mathematics and Poetry -- Arts of the Heart

      On the opening pages of a Springer Reference, Handbook of the Mathematics of the Arts and Sciences, we find a list of 107 fascinating titles -- including two that link mathematics and poetry:

     "Mathematics and Poetry -- Arts of the Heart" by Gizem Karaali and Lawrence M. Lesser

     "Poems Structured by Mathematics"  by Daniel May

     Even for those of us who lack access to the Springer volume, the abstracts found at the links above offer lots of  valuable references -- and contact information for the authors.

     AND, if you are on Twitter, you can enjoy palindromes and other constrained verse by Anthony Etherin  ( @Anthony_Etherin ) -- an author whose latest book has the title SLATE PETALS.

Using "mathematics" in a poem

     One of my daily emails is poem-a-day from poets.org -- and yesterday's poem surprised me with the word "mathematics" appearing 4 times in its 28 lines.  Here are several lines:

from  Hunter heart a lonely is the     by Kyle Dacuyan

        child in a novel        that has neither       person nor a substance
        music         mathematics is a dream           makes me see myself

        more loving       when I listen       makes my heart go
        the hunter and a lonely       Remembering is a mathematics

        and the body in its illnesses     the stamina has symphonic
        calculus of living       in a sickness      I can listen now
      . . .

Dacuyan's complete poem -- for reading aloud and contemplation -- is available here.

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!

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

JHM -- a rich source of mathy poems

      Every six months the Journal of Humanistic Mathematics offers a new online issue and includes a generous offering of mathy poems.  Here is a link to the current issue (Vol, 11, No, 2, July 2021) and I offer --after a sample, which features a type of algebra problem -- the titles, authors, and links to JHM mathy poems.

    Train Algebra      by Mary Soon Lee

     Do not use a calculator. Show your work.
     Haruki leaves Chicago Union Station at 10:42 pm
     on a train traveling at 60 miles per hour.

     At 10:33 pm, Haruki boards the train.
     He’s abandoned his job,
     his collection of cactuses;
     has only his cell phone, his wallet,
     and a dog-eared paperback.
     He walks through two carriages
     before finding an open seat,
     apologizes as he sits down
     beside a woman his mother’s age.
     The woman glares at him. 

Once upon a time, 350 was our goal

     Back in 2007, 350 parts per million was the "safe upper limit" for CO₂ in our atmosphere -- a figure  presented by NASA scientist Jim Hansen in December 2007 and widely agreed upon.  From that number the website 350.org was born. On October 24, 2009, 350 Poems celebrated an international day of climate action with a posting, from poets all around the world, of 350 poems of 3.5 lines each --  each responding to concern for man-made climate change.   My own entry (#265 here in the listing) I offer below.
    It's sad news that recent data (more than 400 ppm of CO₂ in our atmosphere) verifies our greedy disregard of this important warning.  What can we do?

    The Spider     (265/350)        by JoAnne Growney

     Spinner of intricate, twenty-inch silk food snares.
     Twenty inches — not fifty or two hundred.
     She knows the limits to her senses.  Humans
     keep building bigger webs.

This 3.5 line poem was first posted almost ten years ago (here at this link). 

Poetry with Numbers -- from Lewis Carroll

     One of the timeless treasures on my bookshelves is a complete collection of work by Lewis Carroll (pen name for Charles Lutwidge Dodgson, 1832-1898) -- writer, puzzler, math guy . . . Here's a poem I found in "Answers to Knot 1" in A Tangled Tale.  (The problem, Knot 1, is stated below the poem.)

from   A Tangled Tale     a response (by authors named below) to a puzzle posed by Lewis Carroll

        The elder and the younger knight
           They sallied forth at three;
        How far they went on level ground
           It matters not to me;
        What time they reached the foot of hill,
           When they began to mount,
        Are problems which I hold to be
           Of very small account.

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

 

Excitement from Finding a Proof . . . and then . . .

Recently I have been revisiting the poems that Sarah Glaz and I collected for the anthology, Strange Attractors:  Poems of Love and Mathematics (AK Peters / CRC Press, 2008) and renewing my enjoyment of them.  Here, from page 146, is  a sample.

The Proof by Theodore Deppe
 
I could live like this, waiting on the roof
for the great egret that flies overhead
at just this time, measuring the sun's height
with my fingers to see if the moment's come,
Annie studying the horizon as she describes
the last minutes of a show she watched
in which some mathematician -
she didn't catch the name - labours seven years
to solve a proof he's been enthralled by
since childhood, and though Annie tuned in
too late to know the nature of the problem,
she loves the pure joy with which he looks
into the camera and announces, I've found it -
there are tears in his eyes - I've found it.  

Love and Tensor Algebra

     Stanislaw Lem (1921-2006) was a Polish science fiction writer whose works have been widely translated.  Here is a poem of his (found here in a blog with final postings in 2007)  -- a poem that enthusiastically expresses love in the language of mathematics!

Love and Tensor Algebra      

                    by Stanislaw Lem (translated by Michael Kandel)

 Come, let us hasten to a higher plane
 Where dyads tread the fairy fields of Venn,
 Their indices bedecked from one to n
 Commingled in an endless Markov chain!

 Come, every frustum longs to be a cone
 And every vector dreams of matrices.
 Hark to the gentle gradient of the breeze:
 It whispers of a more ergodic zone.  

Distance Melts . . . between math and poetry . . .

      One of my early math-poetry connections was with applied mathematician John Lew (1934-2006) who contributed often to the Humanistic Mathematics Network Journal (predecessor of the Journal of Humanistic Mathematics -- in which this blog finds frequent math-poetry gems.)  With a doctorate in physics, Lew worked in applied mathematics for many years at the IBM Watson Research Center -- and maintained interests in literature and music, serving for a time as poetry editor of the Mensa Bulletin.  His sonnet below comes from his 1996 HMNJ article, "On Mathematics in Poetry."  Lew's complete article is available here.

      The Comet      by John Lew

      Near from infinity I came
               Drawn to your strong, unmoving light
      By some ascendance of its flame
              That charms the planets through their night.
      The distance melts, my spirit thaws,
              Sublimes, and in your radiance flies
      Soon, by the old, unchanging laws,
             An exhalation through the skies.
      Sweet perihelion!  May we touch,
            Our auras intermingle?  No,
      The impulse of my flight too much,
             I must again to darkness go;
      While you may stand, and watch my face
             Dwindle through trans-Plutonian space.

 An interesting controversy arose between Lew and me -- here is a link to a letter he wrote about a math-poetry "quiz" that I developed that had appeared in the American Mathematical Monthly (quiz available here).

Mathematics Humor -- in rhyming verse . . .

      At the website KOMPLEXIFY! a mathematician named Travis celebrates his love of mathematics in various ways, including humor and verse.  He supplies lots of limericks and parodies, including Tom Lehrer's parody of "That's Entertainment" entitled "That's Mathematics" which  I offer below.  (Here is a link to the rich list of Travis' poetic postings.)

That’s mathematics!       by Tom Lehrer

Counting sheep
When you’re trying to sleep,
Being fair
When there’s something to share,
Being neat
When you’re folding a sheet,
That’s mathematics!

When a ball
Bounces off of a wall,
When you cook
From a recipe book,
When you know
How much money you owe,
That’s mathematics! 

Limericks about Graphs -- Prize-Winners

     A couple of weeks ago I posted information about prize-winning poetry in the Writing portion of the 2021 MoMath Steven Strogatz Contest for high school students.  After finding that I began to look for the results of earlier contests.  Apparently 2020 was the first year of these contests and in that year, also, poems were winners -- limericks (with related drawings) by Sarah Thau.  “Limericks and poetry are not a typical way to convey information about math,” admits Thau, “but I think it makes it more palatable than learning functions by rote.  Who doesn’t love a limerick?”

      From her winning collection, entitled "Little Function Limericks," here is a sample of Thau's work:

The entire collection of Thau's limericks is found here.