Poetry Enriches Science -- a growing point of view!

     Recently I found and enjoyed the article "Scientists Take On Poetry," an article by Katherine Wright in Physics  --  a free, online magazine from the American Physical Society.  After the following lead-in:

Stuck with how to present your latest scientific project? Try a poem.

Wright's article tells of numerous scientists who have been poets and offers visual poetry by Stephany Mazon and Manjula Silva.  The article quotes Sam Illingworth, a poet and geoscientist at the University of Australia, "Poetry is a great tool for interrogating and questioning the world."  Illingworth heads the Editorial Team of an online journal, Consilience -- a newish journal that describes itself as "the online poetry journal exploring the spaces where the sciences and the arts meet."  The current issue has the theme "uncertainty" and offers 19 poems; one of these is "Heisenberg's uncertainty principle" by Alicia Sometimes -- and it begins with these words:

       The reality we can put into words is never reality itself

       we cannot measure
       the position (x) and the momentum (p)
       of a particle with absolute precision
         . . .

This link leads to the rest of Sometimes' poem and to others offered in Consilience.

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.

Poetry-math resources -- for classrooms and for fun

 This link leads to my article 

"Enrich Discussions about Mathematics with Poems" -- 

an article that offers links to poems that introduce mathematicians and air math-attitudes -- 

items that can benefit from a bit of attention in many math classes. 

    

Lots of ideas/suggestions are available at this link!

If a Garden of Numbers . . .

      In a summer email from math-poet-editor Carol Dorf,  I first enjoyed "If a Garden of Numbers" -- a mingling of numbers with the natural world -- by California poet Cole Swensen.  I offer its opening lines below followed by a link to the complete poem.

If a Garden of Numbers      by Cole Swenson 

If a garden is the world counted
                                                      and found analogue in nature
One does not become two by ever ending
                                                                    so the stairs must be uneven in number

Misunderstanding mathematicians . . .

      One of the comments that non-maths often make when they meet a math-person is "Oh, I never was good at math."  An awkward start to possible friendship.  Another awkward beginning rests on the assumption that mathematics is primarily calculation, that the main task of mathematicians is to organize numbers.  This error is the focus of the following poem -- written in the early 90s before our banking was done electronically.

"Misunderstanding" is found in my poetry collection, My Dance is Mathematics -- its poems are online here.  For non-maths (and the rest of us, too) one of the wonderful up-to-date online sources for "living mathematics" is +plus magazine -- and of course +plus includes poetry

What is x?

     This thoughtful poem by versatile poet Mary Peelen appeared in the Winter, 2016 issue of The Massachusetts Review.   

       Variable     by Mary Peelen 

       The x could have been
       anything at all,

       the sound of wind chimes,
       a gong, a choir, a cantor,

       a mermaid, a schoolmarm,
       cathedral bells.

       Instead—what a lark—
       it’s laughter. 

Venn Diagram Poem

     One of my granddaughters has been working with Venn diagrams in her middle school math class.  And my thoughts turned to this poem -- back in 2018, Twitter poet Brian Bilston (@brian_bilston) celebrated the August 4 birthday of the diagram's inventor, logician John Venn (1834-1923), with this clever poem in a Venn diagram.

Lots more of Brian's poetry adventures can be found here at his website.

TEACHERS are important ... enlarge Hardy's view!

     One of the classics written about mathematics is G. H. Hardy's 1940 book-essay, A Mathematician's Apology -- a treatise that gives valued insights into the nature of mathematics, its beauty, and the roles of mathematicians.   But today I want to urge us all to enlarge Hardy's view (shown in the box below) which offers scorn for those who talk ABOUT mathematics instead of creating it.  Our teachers and the others who spread mathematics out into the world ALSO are vital.

    Let us use geometry as Edwin Markham does -- and include

in the important world of mathematics those persons who communicate about that world.

          Outwitted     by Edwin Markham (1852-1940)

          He drew a circle that shut me out--
               Heretic, rebel, a thing to flout.
          But Love and I had the wit to win:
               We drew a circle that took him in!

Poetry in SCIENTIFIC AMERICAN

     The September 2020 issue of Scientific American contains a poem by British Poet Laureate Simon Armitage -- "Bring Back the Leaf"  -- AND an announcement that from now on each monthly issue will contain poetry. Like!
     Although this poem is not mathematical, I offer news of it here because the Scientific American's inclusion of the arts with the sciences and mathematics (STEM enlarged to STEAM) is a very important step.

From:  "Bring Back the Leaf"      by Simon Armitage

Bring back, bring back the leaf.
Bring back the tusk and the horn
unshorn.
Bring back the fern, the fish, the frond and the fowl,
the golden toad and the pygmy owl,
revisit the scene
where swallowtails fly
through acres of unexhausted sky.

The complete poem, "Bring Back the Leaf" is available here.

 At this link is info about a Simon Armitage poem that helps to clean the air . . .

 

Another Fibonacci poem . . .

     Through many years of the history of poetry, the sonnet has been a treasured form -- as poets strive carefully to match the iambic pentameter rhythm and some pattern of rhyme, this concentrated thinking leads to careful word choices and memorable poems.  (Here is a link to a mathy sonnet by a math teacher's son, John Updike.)
     Modern poetry has many "free verse" poems that follow no particular form AND ALSO a variety of new forms.  One particularly popular format (appearing often in this blog) is to count syllables-per-line using the Fibonacci numbers   Here an interesting example by poet Marian Christie which describes increasing complexities of crocheting using Fibonacci syllable-counts.

"Crochet" -- a FIB by Marian Christie

 Christie's poem was first published in here in Issue 36 of The Fib Review.

Poetry on Twitter

      Dubbed the "unofficial poet laureate of Twitter" Brian Bilston (a pen-name) sometimes uses mathematics to shape his poems; for example, this poem whose word-counts follow the Fibonacci numbers:

from "Brian Bilston's  POETRY LABOETRY"

Look for Brian on Twitter (@brian_bilston) 

and also on Facebook (www.facebook.com/BrianBilston/).

Links and comments for many of my blog-posts also on twitter on Twitter  @mathypoems

and a search using the hash-tag #NPRpoetry leads to lots of interesting stuff!

Ten thousand parts of cat . . .

As a cat-lover, I am drawn to David Manning's mathy poem that I offer below:  

       Live Round     by David T. Manning

       All ten thousand
       parts of cat run
       like seventeen jewels
       in velvet.  Target locked,
       she tucks white forepaws.
       folds couchant     and waits.
       One thousand gyros idling
       quietly, ordnance round
       of bottled death with nose
       that never sleeps
       tuned to the frequency
              of mouse.

After a long career as organic chemist, David Manning turned to poetry.  "Live Round" is on my shelves in his collection Negotiating Physics and Other Poems from a Peaceable Kingdom  (Old Mountain Press, 1999).

What can we count on?

As the August days grow shorter in a hot summer of social distancing, here is a sample of my thoughts:
 
        I learned to count
        on my fingers.
        Now, years later,
        in twenty-twenty
        what can I count on? 

And I'd like also to make a quick mention of a project I've been part of -- with results that you are likely to enjoy. Gathered by Rosemary Winslow and Catherine Lee, a collection of thoughtful essays,  DEEP BEAUTY --  Experiencing Wonder When the World Is on Fire (Woodhall Press, 2020).  My essay, "When I'm Quiet Enough to See" tells of beauty's connection to my childhood on a farm, to poetry, to mathematics, and is available here.

From an engineer who loves poetry . . .

João Augusto Sampaio is an Environmental and Civil Engineer who loves poetry; here is a sample:

by João Augusto Sampaio

 

Sampaio has let me know that he is on Instagram using @jota_sampa;  for another aspect of his work, this link leads to his lovely "visualizing math" posting of Ulam's Spiral, showing the distribution of primes. 

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.

Heart Arithmetic

      During these days of protest and politics and pandemic, a diversion -- some playful thoughts about LOVE from poet Carl Sandburg (1878-1967).

        How Much?     by Carl Sandburg

       How much do you love me, a million bushels? 
       Oh, a lot more than that, Oh, a lot more. 
  
        And to-morrow maybe only half a bushel? 
        To-morrow maybe not even a half a bushel. 
  
        And is this your heart arithmetic?
        This is the way the wind measures the weather.

 

Poems can help us teach/learn mathematics . . .

     With increasing awareness of the value of integrating the arts in science and mathematics (expanding STEM to STEAM), numerous teachers are sharing their experiences of what works.  Here, from the archive for BRIDGES 2020, is "Poetry in the Lesson of Mathematics"-- an article by Natalija Budinski and Zsolt Lavicza that describes a series of mathematical poetry activities for math and science students.  Here's a sample of student lines (by F.T.):

           Because when you practice math a lot,
           it almost always pays off.

Another article "Enrich Mathematics Discussions with Poems" (written by me and available here) suggests class-inclusion of poems about the nature of mathematics and its history, the lives and contributions of mathematicians -- including the work of women and minorities -- and similarities between mathematics and poetry.  Discussion of student attitudes -- from excitement to math anxiety -- often can be facilitated by discussion of a poem; the article offers suggestions.  

To find a host of additional poetry samples, 

the blog Search offers a way to find poems on a topic of your choice.

Celebrate the Journal of Humanistic Mathematics

     Recently Vol.10, No.2 of the online Journal of Humanistic Mathematics has become available online.  This issue is a "Special Issue on Creativity in Mathematics" and the richly varied Table of Contents is available at this link.

Seven of the articles feature poetry with links to mathematics; these are:

     Poetry Folder:     Mental Logic: Two Poems     by Ashley Delvento
                           Natural by Design     by Craig Steele

     Poetry:         four seasons (haikus)     by Stephen Luecking
                    Dear Arithmetic     by Mary Soon Lee
                    Galileo's Verse     by Bruce F. McGuffin
                    Hexagons     by Barbara Quick
                    Changes and Deltas     by Jim Wolper

And here are a couple of samples: 

Point of Inflection -- and the coronavirus

     In the UK, the Radical Statistics Group describes itself as "using statistics to support progressive social change."  The June 2020 issue of their Journal -- Issue 126  -- is a "Coronavirus Special Issue" and it contains a poem by Texas professor-poet Lawrence Lesser.  Here are the opening stanzas.

     The Point of Inflection       by Lawrence M. Lesser

     The point of inflection
     is where towering terror of
     cumulative cases
     finally
     slows its rise.   

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.

Prove it . . .

This post's title "Prove it" occurs several times within the poem,

DREAMers Mark Themselves     by Maricielo Ampudia Gutiérrez,

a poem (found here, followed by an author bio) that arrived in a recent e-mail from the socially-engaged poetry group, Split This Rock -- and I have been reflecting on its use of the term "prove it" as compared with mathematical usage.  The poem by Gutiérrez is included in a rich poetry database maintained by Split this Rock.

     One of the editors of the online journal Better Than Starbucks, Joseph E. Petta, has let me know of his liking for poems with links to mathematics and encourages submissions.  Petta's "Experimental & Form Poetry" section of the July August 2020 issue contains a thoughtful a thoughtful matrix poem, a word-prison:

Freedom        by Stuthi Iyer

Both of these poems offer ideas for thoughtful contemplation -- for math people and for others!

A favorite recursion . . .

      memories bring back

            memories bring back

                   memories bring back  

                          memories bring back

                                 memories . . .
          

Finishing halfway . . .

     Recently I have enjoyed thinking about the poem "Bunny Slope" by Polish poet Tadeusz Dabrowski (found here in The Paris Review, Issue 219, Winter 2016) and offered below.

     When I write a poem, the first draft often is the longest -- I spill words onto the page and then attempt to edit out what does not need to be said.  When I read poetry, I like it when the poem does not "tell all" but offers a framework for my discovery.

Bunny Slope      by Tadeusz Dabrowski

                                   (translated from Polish by Antonia Lloyd-Jones)

     When I’m writing a poem,
     there’s less and less of it.

     As I approach the mountains,
     they vanish behind a gentle hill,
     behind the bunny slope. 

Math-Arts Connections -- links to rich reading . . .

     The Table of Contents for the  latest issue of the Journal of Mathematics and the Arts offers titles for a rich array of "Artists Viewpoints" -- brief articles (assembled under the leadership of Guest Editor, Susan Happersett) in which artists who link mathematics with various genres talk about their views and processes.  (Access to these articles currently is FREE -- through 2020.)

     One of the 53 artists' viewpoints contained therein is mine, and here is a permanent link to that brief article ("Everything Connects") that links my mathematics and poetry.  Another math-poet whose work is featured is South Dakota mathematician Dan May, whose article "In the beginning all is null" features multiple-choice poetry.

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.  

 

A thoughtful Fibonacci poem

     An email message from Washington, DC poet and blogger Karren Alenier alerted me to this mathy Fibonacci poem found online in the Summer 2020 Issue (#36) of The Fib Review.  The poet., Roberto Christiano, has given me permission to offer it to you here.

the irrational   by Roberto Christiano

irrational
numbers
c'est moi?
a number that
cannot be expressed by the
ratio of two integers / and what's an integer?  

Math-Poetry for a virtual BRIDGES Conference

     Due to the COVID-19 pandemic this year's 2020 Bridges Math-Arts Conference will not be held.  One of the regular events at this international conference has been a poetry reading organized by mathematician and poet Sarah Glaz.  This year, Glaz has prodded math-poets to develop on-line videos of their poems and offers a wonderful program of poetry here at this link.  (Brief poet-bios and links to more info about each are also found at the preceding link.)

Participating poets, with links to their poetry videos are: 

Sarah Glaz,  Tatiana Bonch-Osmolovskaya,   Robin Chapman,  Marian Christie,  Carol Dorf,  Susan Gerofsky,  Emily Grosholz,  Gizem Karaali,  Lisa Lajeunesse,  Marco Lucchesi,   Alice Major,   Mike Naylor,   Eveline Pye,  Stephanie Strickland,  Ursula Whitcher,

Marion Cohen,   Maria Mannone reads Federico Favali's poem,   JoAnne Growney    Hedy Hempe,   Philip Holmes,    Lawrence (Larry) Lesser,  Kaz Maslanka,  Daniel May,   Iggy McGovern,   Tom Petsinis,   Susan Sulic.

Thank you, Sarah Glaz, for organizing and presenting all of this poetry!

We look forward to the forthcoming BRIDGES 2020 Poetry Anthology

Wonderful math-poetry . . . in lots of online places

      Carol Dorf, poetry editor of the online journal, TalkingWriting, has been sharing (during the pandemic) daily poems via e-mail -- and occasionally they are a bit mathematical.  For example, "Morning Song" by Sawako Nakayasu (found here at Poets.org) has this opening line . . . .

     Every time, these days, it seems, an equation gets forced.  . . .

At Poets.org, as at many poetry websites, there is an opportunity to search -- using, for example, "geometry" or "equation" -- and to find lots of poems with mathematical connections.

     Carol Dorf is a retired math teacher and a wonderful poet;  this link leads to poems from her published in this blog and this link leads to "Wild Equations,"   a collection of some the mathy poems found in TalkingWriting.

     An ongoing source of original and delightful math-poetry is the Journal of Humanistic Mathematics.  Visit often and explore! 

AND, one more item . . .  Recently I revisited Issue 17 (Released November 1, 1917)  of The Cordite Poetry Review which has the theme "Mathematics."  That issue is online here.  Many of the poems seem at first quite distant from the theme -- but browsing the collection of 60 poems (selected by Fiona Hile) has proved thought-provoking.  Here is a sample, "Venn Diagram" by Caroline Williamson.

Life Lessons in Math and Rhyme

     One of my former colleagues at Pennsylvania's Bloomsburg University is statistician Reza Noubary.  This Iran-born mathematician has a love of poetry as well as mathematics and here are a few lines from his recent collection, Feelings and Dealings (Archway Publishing, 2020).

                    In a math book there is wisdom.

                    In a theorem there is a kingdom.

                    No solution can be made up or faked.

                    The reasoning buys you freedom.

There is a secret in every equation that provokes curiosity and passion.

To uncover it we need to see its beauty and realize

its worth to complete the mission.

The outcome is refreshing; it always results in long-term compassion.

It is satisfying as participants understand its

logic and its beautiful expression.

Thank you, Reza, for these words.

 

Independence . . .

     Tomorrow, July 4, the US celebrates "Independence" Day and I am reflecting on the following quote by Albert Einstein (1879-1955):

     How can it be that mathematics, 
     being after all a product of human thought 
          . . . independent of experience, 
     is so admirably appropriate
     to the objects of reality?

(found here, along with lots of Einstein quotes) 

I am trying to decide to what degree I agree with Einstein's words.