Chaos theory -- portrayed in poetry

     A poem I have long loved is "Chaos Theory" by poet (and fiction writer and scholar) Ronald Wallace -- and he has given me permission to offer it below.

Chaos Theory     by Ronald Wallace

    1. Sensitive Dependence on Initial Conditions

       For want of a nail the shoe was lost,
       for want of a shoe the horse was lost,
       and so on to the ultimate loss—a battle,
       a world. In other words, the breeze
       from this butterfly's golden wings
       could fan a tsunami in Indonesia
       or send a small chill across the neck 
       of an old love about to collapse in Kansas
       in an alcoholic stupor—her last.
       Everything is connected. Blame it on
       the butterfly, if you will. Or the gesture
       thirty years ago, the glance across
       the ninth-grade auditorium floor,   

Is TWO more than ONE?

     A poetry friend reminded me recently via email of the poetry of Shel Silverstein (1930-1999) -- both humorous and provocative.  The emailed poem was "Zebra Question" and it employs the strategy so often considered in mathematics -- in testing the truth of a statement, consider also the opposite.   Silverstein's "Zebra Question" opens with these lines:

       I asked the Zebra,
       Are you black with white stripes?
       Or white with black stripes?
       And the zebra asked me,
       Are you good with bad habits?
       Or are you bad with good habits?     

Celebrate 3.14 with poems of Pi

     Soon this year's version of the date 3.14 will arrive.  Pi-day!
     At the 2012 Bridges Conference in Towson MD I had the opportunity to hear "Art of π," a presentation by Tatiana Bonch-Osmolovskaya that told of ways that the special number π has inspired artists and writers.  This blog has previously celebrated π -- for example on 6 September 2010 (featuring work by Kate Bush,  Robert Morgan and Wislawa Szymborska),  10 September 2010 (mnemonics for π, especially from Mike Keith) , 15 March, 2011,(a poem by Lana Hechtman Ayers)  27 November 2011 (a poem by Brian McCabe). 

Poems starring mathematicians - 3

Today's poems illustrate the satirical humor and rhyme that frequently inhabit poems by mathematicians. (Previous postings of poems about mathematicians include March 23, April 14, and April 15.)

I Even Know of a Mathematician      by John L Drost

        “I even know of a mathematician who slept with his wife only
                   on prime-numbered days…” Graham said.
                            ―Paul Hoffman, The Man Who Loved Only Numbers

"Binary Heart" -- linking love and mathematics

      From the xkcd webcomic by Randall Munroe -- and also shown on the cover of Strange Attractors: Poems of Love and Mathematics, we have this reminder of upcoming Valentine's Day.

"Binary Heart" by Randall Munroe,
at https://xkcd.com/99/

     Munroe's clever drawings "of romance, sarcasm, math, and language" have appeared also in previous postings in this blog (here's a link) and his website is fun to visit.
     The anthology, Strange Attractors; Poems of Love and Mathematics-- edited by Sarah Glaz and me -- was published in 2008 by AK Peters and contains more than 150 poems of math and love (including another -- "Useless" -- by Munroe.)  More about Munroe is available here.

Happy Valentine's Day

      A perfect way for math-poetry fans to celebrate Valentine's Day is to visit the anthology, Strange Attractors: Poems of Love and Mathematics (AK Peters/CRC Pres, 2008), edited by Sarah Glaz and me.  Here is a sample from that collection, a limerick;

     There Was a Young Maiden    by Bob Kurosaka*

       There was a young maiden named Lizt
       Whose mouth had a funny half-twist.
            She'd turned both her lips
            Into Mobius strips . . .
        'Til she's kissed you, you haven't been kissed!

     *Of Japanese heritage, Kurosaka was born in Lake George, NW -- he became a college teacher and author of science fiction and limericks.

     Here is a link to previous Valentine-related postings:  
this link leads to blog-search results for "Strange Attractors."

Encryption and Love

One of my recent book-acquisitions is The Woman who Smashed Codes by Jason Fagone  -- a story of Elizebeth Smith Friedman who transitioned from teaching and scholarship to codebreaking and became a hero of the National Security Agency during the much of the first half of the twentieth century.   In this book I have found (on page 91, discussion of some of the ideas of information-theory pioneer Claude Shannon; the story of Elizebeth includes telling of her meeting and falling in love with another codebreaker, William Friedman, and Fagone brings Shannon into the story with this remark:

     . . . according to Shannon, making yourself understood by another person
        is essentially a problem in cryptology ... When you fall in love, you develop
        a compact encoding to share mental states more efficiently, cut noise,
        and bring your beloved closer.   All lovers, in this light, are codebreakers . . .

Also connecting love and mathematics is a poetry anthology from more than a dozen years ago -- a collection that I helped Sarah Glaz to gather and edit (and now available as an e-book):  Strange Attractors:  Poems of Love and Mathematics (A K Peters/CRC Press, 2008).  On page 135, these cryptic lines from Rafael Alberti, used as an epigraph for the poem "Mathematics" by Hanns Cibulka.

                And the angel of numbers
                is flying
                from 1 to 2.
                                   --Rafael Alberti

Cibulka's "Mathematics" may be found here.  And this link leads to other postings in this blog that relate to Strange Attractors. 

The Thirst to Know HOW MANY?

    One of the important math-poetry projects that I have been involved in is Strange Attractors:  Poems of Love and Mathematics, a poetry anthology collected and edited by mathematician-poet Sarah Glaz and me -- published by AK Peters/CRC Press in 2008 and now available on Kindle and at various online used-book sites.

     A poem in Strange Attractors that I have been drawn to again recently is "Ode to Numbers" by Chilean poet Pablo Neruda (1904-1973).  Here are its opening lines: 

from  Ode to Numbers     by Pablo Neruda

          Oh, the thirst to know
          how many!
          The hunger
          to know
          how many
          stars in the sky!   

String Theory

     String Theory is a theoretical framework that attempts to explain, among other things, quantum gravity.  Its basic elements are open and closed strings -- rather than point-like particles.  The poem "String Theory" by Ronald Wallace offers imaginative and thoughtful interplay between these strings of theoretical physics and the strings of musical instruments -- I found the poem at the VerseDaily website and Wallace has given me permission to use it here.

      String Theory     by Ronald Wallace

      I have to believe a Beethoven
      string quartet is not unlike
      the elliptical music of gossip:
      one violin excited
      to pass its small story along  

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. 

Math Is Beautiful and So Are You

 Read on for a poem of love and mathematics! 

    This poem celebrates an upcoming wedding . . .  one of my two wonderful sons will be getting married next Saturday to a lovely and special woman -- and this delightful occasion also will bring a host of scattered family members together.  I am thrilled by all of this and offer, for readers also to celebrate, a lovely poem:

Math Is Beautiful and So Are You     by Becky Dennison Sakellariou

     If n is an even number
     then I'll kiss you goodnight right here, 
     but if the modulus k is the unique solution,
     I'll take you in my arms for the long night.  

Celebrating Visual Poetry

     One of my delights in both poetry and mathematics is the multiplicity of meanings that come from careful attention to a particular text.  Today I have been revisiting the work of visual-poets Robert "Bob" Grumman (1941-2015) and  Karl Kempton and loving the surprises as I rediscover them.  Visual-mathematical poet Kazmier Maslanka in his blog, "Mathematical Poetry,"  generously features the work of many other poets beside his own -- and here (from this link) is one of Kempton's poems:

by Karl Kempton

The angel of numbers . . .

This poem by Hanns Cibulka (1920 - 2004) -- translated from the German by Ewald Osers -- is collected in the anthology, Strange Attractors:  Poems of Love and Mathematics, edited by Sarah Glaz and me (A K Peters, 2008).

     Mathematics      by Hanns Cibulka     (trans. Ewald Osers)

                  And the angel of numbers
                  is flying
                  from 1 to 2...
                       —Rafael Alberti

A Cone with a Sphere on top

      The phrase used as title for this post, "A cone with a sphere on top" -- from a slightly-mathy poem by Katharine O'Brien (1901-1986), "Einstein and the Ice Cream Cone" -- has caused me to visualize a Christmas tree and so, in this holiday season, I offer it to you.  Enjoy!  And Happy Holidays!

     Einstein and the Ice Cream Cone     by Katharine O'Brien

     His first day at Princeton, the legend goes,
     he went for a stroll (in his rumpled clothes).
     He entered a coffee shop --- moment of doubt --
     then climbed on a stool and looked about.
     Beside him, a frosh, likewise strange and alone,
     consoling himself with an ice cream cone.   

Geometry of Love

     A couple of weeks ago my "Google Alert" linked me to a posting of a science poem concerning "the geometry of love."  The posting -- at The Finch and Pea -- is a poem that is both elegant and precise (and one that has been included in the anthology, Strange Attractors:  Poems of Love and Mathematics, that Sarah Glaz and I collected and edited several years ago).  Here it is:

The Definition of Love     by Andrew Marvell (England, 1621-1678)

My love is of a birth as rare
As ‘tis for object strange and high;
It was begotten by Despair
Upon Impossibility.  

The Heart's Arithmetic

     For me, the Christmas holiday season is a time for family gathering and a treasured time for that reason.  Today my thoughts turn to one of my favorite poems of family and mathematics -- a poem by much-too-soon-departed poet Wilmer Mills (1969-2011),  a poem first published in Poetry and also also found here at the Poetry Foundation website. 

     An Equation for My Children  by Wilmer Mills

     It may be esoteric and perverse
     That I consult Pythagoras to hear
     A music tuning in the universe.
     My interest in his math of star and sphere
     Has triggered theorems too far-fetched to solve.  

Horizon line

Poet James Galvin often uses mathematical imagery in his poems.

   Art Class      by James Galvin
  
   Let us begin with a simple line,
   Drawn as a child would draw it,
   To indicate the horizon,  

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.  

Is mathematics discovered -- or invented?

The issue of whether mathematics is invented or discovered is posed often.  Less frequently, queries as to where poetry falls in these categories. Perhaps individual answers to these questions depend on how each of us, from the inside, views the workings of the mind.   Here we have, from poet (and math teacher) Amy Uyematsu,"The Invention of Mathematics."  

Poetry with Mathematics -- Anthologies

More than thirty years ago at a mathematics conference book exhibit I stumbled upon Against Infinity:  An Anthology of Contemporary Mathematical Poetry, edited by Ernest Robson and Jet Wimp.  This collection, now out of print, became a resource for my mathematics courses--an opportunity for students to see the links between mathematics and the surrounding world.   One of my early loves was "Arithmetic Lesson:  Infinity" by Linda Pastan.  Found also in Carnival Evening, the poem opens with these these lines: