Celebrating mathematics with song . . .

     Some of the most memorable links between mathematics and the arts are found in song-lyrics.  For example, "That's Mathematics" by retired American musician, singer-songwriter, satirist, and mathematician   Tom Lehrer (now aged 93):  Here is the opening stanza (the complete lyrics are found at this link):

    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!             More mathy lyrics (by Lehrer and others) are found here.

     A current math educator offers us lots more lyrics to learn from and enjoy; from Larry Lesser -- a professor at the University of Texas in El Paso -- is a long-time creator of math-music works.  Here's a link to a list.

 This blog also has previously published lots of Lesser's fine work; here's a link.

Year-end Counting -- with Gratitude

     Year
     ends.
     I count --
     and count on --
     mathy poems shared
     here by countless poets. THANK YOU!

It all starts with counting . . .

     Sometimes our focus on what is important -- in life, in love  . . . as in mathematics --  starts with counting.   This process is artfully expressed below in "Tally" by Romanian poet Lucian Blaga (1922-1985).

      Tally     by Lucien Blaga

       I tally in the ancient way.
       I count like the shepherd
       how many white. how many black
       --days, all year round.

       I count the steps, of the beautiful one,
       to the threshold of the door.
       I count how many startsthere are
       in the nest of the Mother Hen.

       However many, the lot--I count,
       smoke and illusions,
       the whole day--count, count
       roads and missed ways.

       I count the stones on which
       she crosses the ford, that beauty
       and all the sins for which
       hell will surely burn me.

Blaga's poem was translated from the Romanian by Brenda Walker and Stelian Apostolescu and is included in the anthology, Strange Attractors:  Poems of Love and Mathematics (AKPeters/CRC Press, 2008), edited by Sarah Glaz and JoAnne Growney.

Seeing Mathematics Everywhere

     Ohio poet Cathryn Essinger has a twin brother who is a mathematician -- and links to mathematics sometimes appear in her poetry.   Here are the opening lines of a poem I especially enjoy -- the complete poem appeared in Poetry Magazine in 2002 and is available online here.

My Dog Practices Geometry     by Cathryn Essinger

     I do not understand the poets who tell me
     that I should not personify. Every morning
     the willow auditions for a new role

     outside my bedroom window—today she is
     Clytemnestra; yesterday a Southern Belle,
     lost in her own melodrama, sinking on her skirts.

     Nor do I like the mathematicians who tell me
     I cannot say, "The zinnias are counting on their
     fingers," or "The dog is practicing her geometry,"

     even though every day I watch her using
     the yard's big maple as the apex of a triangle
     from which she bisects the circumference   

          . . .                                                                                           To continue reading, follow this link.

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

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.  

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! 

Numbers keep track of memories . . .

     Sometimes the specific nature of counting can help us, for a bit of time, to steer our thoughts for away from sadness.  Here is a poem in which numbers give a grieving partner a framework through which to speak.  (This selection is from The Widows' Handbook (Kent State University Press, 2014), an anthology gathered and edited by Jacqueline Lapidus and Lise Menn.)

      Camp Numbers     by Barbara Bald   

      I’ve been in these woods seven days,
      fed our fish twelve shrimp pellets,
      filled two hummingbird feeders with red juice,
      given our cat ten doses of pink medicine.

      I’ve live-trapped twenty-eight field mice
      with the Tin Cat trap you bought,
      rescued our Brittany’s toy four times from the river,
      seen one person, the gas man fixing the fridge, in two days.

      I’ve written thirteen poems,
      five about your untimely death,
      cleaned six cabinets to rid rodent remnants,
      replaced one roll of toilet paper in the outhouse.

      I am still waiting for one of you.

Learn more about poet and educator and nature-lover Barbara Bald here at her website.

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  

Keeping Track of Chairs

 The first steps in mathematics . . . COUNTING!

      I grew up on a farm and keeping track by counting happened often -- counting chickens, counting sheep, counting the number of weeks until the early transparent apples will be ripe . . . and when I read Tom Wayman's poem in Poet Lore I found a similar habit of relentless counting.    I have not been able to obtain more than short-term permission for posting -- and so I offer here just a sample and, beneath, a a link to the full poem.

from Fifty Years of Stacking Chairs     by Tom Wayman

     Two of these chairs at a time
     are easily manageable, so back at the empty rows
     I fold three and haul them with both hands
     across the space. Next trip I try
     four: fingers on each hand curved
     under the metal backrests of
     two chairs. Fifty years 

A Math-Poetry Essay -- in the Time of Corona

     Springer Publishing is developing an e-book, Mathematics in the Time of Corona, an online collection of various reactions to the pandemic – due for release sometime in May 2021.  One of the chapters to be included is by me, “Counting Syllables, Shaping Poems:  Reflections”  and this 4-page essay of mine will be available for free online reading (and download) until the end of March at this link:  Counting Syllables, Shaping Poems: Reflections | SpringerLink.

Pandemic   (Haiku)

Exponential growth:
small numbers doubling quickly—
a world upended!

To explore other postings of Haiku in this blog, click on this link. 
A copy of the essay "Counting Syllables . . ." is also permanently available here.

Counting Syllables for Christmas

     As I look ahead toward Christmas, I shape my thoughts into words with syllable-counts that match the Fibonacci numbers.

Holiday musing from JoAnne Growney

STAY SAFE!

Shaping POETRY with GEOMETRY

Syllable-count constraints help me to think carefully about word choices as I construct a poem.  Here are square and triangular stanzas that came into my head recently while I was jogging.

In addition, when working with students,  I often find that they explore their ideas most easily when I suggest that they follow syllable-counting constraints.

Special Days for Mathematics

Today is the birthday of black mathematician, astronomer, almanac-writer and puzzle-maker Benjamin Banneker (1731-1806) -- and some of his puzzles were poems:  this link leads to this blog's previous postings of his work.

This week (November 9-14) is  2020 Maths Week in England.  Learn more, via an introductory video, here.

During these Covid-19 days of isolation I am particularly aware of distances that separate me from those I love . ..  and the numbers that keep track of it all.  Here are opening lines from the poem "Distances" by Peter Meinke that reflect on the changeable meanings of numbers. 

TalkingWriting with Mathematics

     TalkingWriting is an online journal that's celebrating its 10th birthday -- TEN YEARS of including mathematics in its mix of poetry.  This mathy connection has grown strong through the poetry editorship of Carol Dorf, poet and retired math teacher.  In this anniversary issue, poems are paired with works of visual art and the effect is stunning; from it,  I offer below samples of poems by Amy Uyematsu and by me.      
      Amy Uyematsu's poem "Lunes During This Pandemic"  thoughtfully applies the counting structure of the "lune" (aka "American Haiku") with three-line stanzas of 3/5/3 words per line.

Voting and being counted . . .

      A story in the KIDSPOST section of today's Washington Post offers a reminder that 100 years ago today -- on August 18, 1920 --  the 19th Amendment to the US Constitution was officially ratified -- extending the right to vote to women.
      Here is a link to a poem by Evie Shockley,  women’s voting rights at one hundred (but who’s counting?) -- and, below, a few lines from that important poem:

           * * *
     one-mississippi
     two-mississippis

          * * *
     one vote was all fannie lou
     hamer wanted. in 1962, when
     her constitutional right was
     over forty years old, she tried
     to register. all she got for her
     trouble was literacy tested, poll
     taxed, fired, evicted, & shot
     at. a year of grassroots activism
     nearly planted her mississippi
     freedom democratic party
     in the national convention.

          * * *
For additional postings related to math and women and voting, here is a link to the results of a blog Search using the terms women and vote.

Census . . . correct counting is not easy. . .

     One of the challenges of applying mathematics is doing it correctly.  Each of us has a limited view, often affected by biases such as racism and sexism. And Covid-19 concerns have further-limited our access to accurate information in situations such as counting election-ballots or counting all Americans for the 2020 census.  The following thoughtful poem, "Census," is not new; it was first published in 1981.  What does it show us about counting?

     Census     by Carol Muske-Dukes

     Here's how we were counted: 
     firstborn, nay-sayers, 
     veterans, slow-payers, 
     seditionists, convicts, 
     half-breeds, has-beens, 
     the nearly defined dead, 
     all the disenfranchised live.

Poetry contest winners --- π-ku

     The website Aperiodical.com is described as "a meeting-place for people who already know they like maths and would like to know more"  -- and one of its organizing forces is Katie Steckles.  Several weeks ago, Katie initiated a  π-ku poetry contest -- looking for 3-line submissions that follow the digits of the π-approximation 3.14.

          For example,      Green grass and
                                blue
                                sky and sun's heat.
                                                                      In π-ku
                                                                      I
                                                                      shrink what I think.

The numbers 3, 1, and 4 also may -- instead of counting syllables -- count words.

                  Today in July
                  sunshine
                  pushes the temperature skyward.

To enjoy the winning results in the Aperiodical π-ku contest, go here.  

 

Considering opposites . . . and finding union . . .

     The categorization of different points of view as opposites can disappear as a unified system embraces both of them.  In mathematics, the counting numbers and their opposites become the integers,the rational and irrational numbers join to give the reals, the real and imaginary numbers yield the complex numbers.  In our global world with its biases and dangers and uncertainties, we will, I hope, evaluate our differences and unite our strengths to form a larger, stronger unity.
     A syllable-square poem by Carmela Martino (offered below) illustrates one of the unifications that can benefit our society: inclusion of the arts to enrich the sciences, from STEM forming STEAM.

Carmela Martino's poem first appeared here at TeachingAuthors.

Counting on ... and on ... BLACK LIVES MATTER!

     In these days of learning to recognize the racism and racial injustice that has gone on in the United States for SO LONG I am reminded of a poem, "Learning to Count" by Romanian poet Nichita Stanescu (1933-1983) (posted at this link back in 2011), a poem that captures the horror of barbarianism.

     Learning to count     by Nichita Stanescu                   
                        
     Hairy and sweaty sit                            
     the barbarian Hittites.       
     Learning to count they pull from corpses
     fingers, legs, arms, eyes.                                    
     Oh, divided ones,    
     how bloody              
     is the idea of having ideas!