Can you SEE the monument?

Links to non-intersecting celebrations of April
as National Poetry Month      and      Mathematics Awareness Month

are available here and here.

Recently I revisited my copy of Elizabeth Bishop:  The Compete Poems, 1927-1979 (FSG, 1999) and turned to "The Monument" -- a poem mathematically interesting for its geometry.  Here are the opening lines; the complete text and many other Bishop poems are available online here:

from  The Monument     by Elizabeth Bishop  (1911-1979)

     Now can you see the monument? It is of wood
     built somewhat like a box. No. Built
     like several boxes in descending sizes
     one above the other.
     Each is turned half-way round so that
     its corners point toward the sides
     of the one below and the angles alternate.  

Split This Rock 2014 was great!

 Split This Rock calls poets to a greater role in public life 

and fosters a national network of socially engaged poets. 

Split this Rock's biennial 4-day poetry festival ended today and the air in Washington, DC is electric with the passion of engagement -- minds and bodies energized by fine poems that demand opportunity and justice for all.  I was glad to be there, participating in workshops and readings led by today's finest poetic voices. 

Women's History -- celebrate Caroline Herschel

     In the sixties when I spent a year at Bucknell University, I was a member of the "Department of Astronomy and Mathematics," a pairing of related disciplines. In past centuries, Mathematics was included in the liberal arts. In the twenty-first century often it is paired with Computer Science, and Astronomy is paired with Physics.  And so it goes.
      Poems by Laura Long tell of the pioneering work by astronomer Caroline Herschel -- a discoverer of eight comets, a cataloger of stars.  Long describes her recent collection,  The Eye of Caroline Herschel:  A Life in Poems (Finishing Line Press, 2013), in this way:      
                  This is a work of the imagination steeped in historical siftings 
                         and the breath between the lines.  
Here is the opening poem:  

Homage to Euclid

In my preceding post (20 March 2014) Katharine Merow's poem tells of the new geometries 

developed with variations of Euclid's Parallel Postulate.  

Martin Dickinson's poem, on the other hand, tells of richness within Euclid's geometry.

Poet and attorney Martin Dickinson is with the Environmental Law Institute and is a long term activist. The Nora School Poetry Series has scheduled both of us (along with Michele Wolf) to be part of a reading next month on April 24, 2014 .  It is my additional good fortune that conversations with Dickinson have included his sharing with me this mathy poem:

     Homage to Euclid       by Martin Dickinson

     What points are these,
     visible to us, yet revealing something invisible—
     invisible, yet real? 

One geometry is not enough

Writer Katharine Merow is in the Publications Department of the Washington DC headquarters of the MAA (Mathematical Association of America) and she is one of the poets who participated in the "Reading of Poetry with Mathematics" at JMM in Baltimore last January.  Here is the engaging poem Merow read at that event -- a poem that considers the 19th century development of new and "non-euclidean" geometries from variants of Euclid's fifth postulate, the so-called parallel postulate:

       Geometric Proliferation    by Katharine Merow

Making something of nothing

     Was zero invented or discovered?  When and how?  By whom?  In "The Origin of Zero" -- an article published in 2009 in in Scientific American --  John Matson introduces an interesting history of zero (something vs. nothing and so on...).  Recently through the Splendid Wake poetry project (with an open-to-all meeting on Friday March 21 -- go here for details) I have connected with Washington DC poet William Rivera who has shared with me this poem that also examines the puzzle of the somethingness of nothing.

Nothing Changes Everything     by William Rivera

Tomorrow is Pi Day

     Tomorrow is Pi Day and I offer no new poems but supply links to several previous posts.  Poetry of π may be found on 23 August 2010 (an "irrational sonnet" by Jacques Bens),  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) and 10 March 2013 (the opening lines of a poem "3.141592 . . ." by Peter Meinke).

Tragedy of the Commons

Thinking in syllable-squares,
recalling ecologist Garrett Hardin (1915-2003)
and his 1968 wisdom, "Tragedy of the Commons."

Maximum               
may not be                   
optimum.

SHE measures the heavens . . .

Today is International Women's Day, celebrated with a charming video at google.com and here with lines from Enheduanna (2285-2250 BCE), the earliest woman known to me who was both poet and mathematician.

     The true woman who possesses exceeding wisdom,
     She consults a tablet of lapis lazuli,
     She gives advice to all lands,
     She measures off the heavens, she places the
               measuring cords on the earth.

These lines (found in the preface, translated from Sumerian sources by Ake W Sjoberg and E Bergmann S J) and much more poetry-with-math are found in Strange Attractors:  Poems of Love and Mathematics (AK Peters, 2008) -- a collection edited by Sarah Glaz and me.

A poetry album by Lucille Clifton

March is Women's History Month and here, today, I celebrate by acknowledging a special woman, Lucille Clifton (1936-2010).  From 1979–1985 Clifton served as Poet Laureate of Maryland.  Her poetry celebrates both her African-American heritage and her womanhood.  Here is "album," a poem in Clifton's spare and un-capitalized style -- and containing a few numbers to help us keep track of the times that are changing.

album     by Lucille Clifton

Sociology of Numbers

Robert Dawson is a mathematics professor at St Mary's University in Halifax, Nova Scotia -- an active mathematician who complements his research activity with mathematics education and with poetry. The following Dawson poem appeared here in 2013 -- in the Journal of Humanistic Mathematics, a journal whose every issue contains some poetry-with-mathematics.

Some Contributions to the Sociology of Numbers     by Robert Dawson

The ones you notice first are the natural  numbers.
Everybody knows their names; they are the anchors,
the stars, the alphas, the reference points. And of course
the rational numbers, who hang out with them,
sit next to them in arithmetic class.

Long division is difficult . . .

Last Monday included a visit with old friends of whom I see too little, Silver Spring artist Mark Behme -- with whom I did some art-poetry collaboration a few years  back -- and Chevy Chase artist-writer-economist-activist, Kyi May Kaung.  After lunch at nearby Mandalay we three walked to Mark's studio and hung out for a while, admiring and talking about his new work.  When I arrived home, I dug out several poems developed from Mark's sculpture -- finding some pieces I'd not thought about for a while.  Here is one of these, a mathy poem that partners with Mark's "Split Tales."

          Which Girl Am I?      by JoAnne Growney

          The girl who’s not forced to divide

          into the good girl and the real one

          is a lucky one.  I was eleven

          when I felt a crack begin.

Angles in Alaska

Last Thursday evening I was honored to read in Takoma Park's Third Thursday poetry series -- along with poets Judy Neri and Kathleen O'Toole -- and my reading focused on poems of my times in Alaska.  The brilliant geometry of  our 49th state affected me strongly and "Angles of Light" became the title poem for a chapbook I published with Finishing Line Press in 2009.  Here is section 3 (of 7) from that poem.

Excitement of Proving a Theorem

Wow!  From first sighting, I have loved this description:

       I prove a theorem and the house expands:
       the windows jerk free to hover near the ceiling,
       the ceiling floats away with a sigh.

These lines from "Geometry" by Rita Dove express -- as well as any string of twenty-four words I can think of -- the excitement experienced from proving a theorem.

Wartime recurrence

In mathematics, it is not unusual to define an entity using a recurrence relation. 
For example, in defining powers of a positive integer:
       The 2nd power of  7  may be defined as  7  x  7¹ ;
               the 3rd power of  7  may be defined as  7  times  7², 
              and the 4th power is  7  times  7³,
              and, in general, for any positive integer n,  7ⁿ⁺¹  =  7  x  7ⁿ. 

Several weeks ago I attended a reading of fine poetry here in Silver Spring at the Nora School  -- a reading that featured DC-area poets Judith Bowles, Luther Jett, and David McAleavey.  I was delighted to hear in "Recessional" -- one of the poems presented that evening by Jett -- the mathematical pattern of recurrence, building stepwise  with a potentially infinite number of steps (as with the powers of 7, above) into a powerful poem.  I include it below:  

Mother Courage -- and speaking of opposites

     Bertolt Brecht (1898-1956) was a poet, but I have not found mathematics in his poems.  Still, I want to note here a fantastic performance of his play, Mother Courage and her Children, starring Kathleen Turner and a talented ensemble at Washington,DC's Arena Stage.  Invited by my neighbors, Mitzi and Pati, I joined them yesterday for a riveting performance.   Here is a link to "How Fortunate the Man with None," a Brecht poem  heartily sung as "Solomon's Song" in the current musical production.
     And here, with a nod to the mathematical bent of this blog, is a quote from Brecht's Mother Courage that involves counting; also, it is one of many examples of a strategy that Brecht uses often and well -- encouraging an idea by speaking of its opposite. 

To love, in perfect syllables

     While looking for Valentine verse with a math connection, I opened my copy of The Complete Illustrated Works of Lewis Carroll (Chancellor Press, 1982).  And found this one in which Carroll (a pen name for English mathematician Charles Lutwidge Dodson (1832-1898)) uses the word one twice and the word half twice and has counted sounds so that in each line the number of syllables is either a cube of an integer or is perfect.

        Lesson in Latin     by Lewis Carroll    (May 1888)   

Love and Mathematics -- Please be my Valentine!

Poet extraordinaire Maxine Kumin (1925-2014) died yesterday.  

Here is a link to a wonderful eleven of her poems from Persimmon Tree. 

Late in 2007, AKPeters released Strange Attractors:  Poems of Love and Mathematics, edited by Sarah Glaz and me.  Recently at a Howard County Math Festival I met a young man who browsed my copy of this anthology and found it the perfect Valentine.  And so might you.  Below I include a sample from the collection -- a love sonnet by Jean de Sponde (1557-1595), translated from the French by David Slavitt.

 Several previous postings have offered love poems of mathematics and mathematicians; 

these include 9 February 2013, 12 February 2012, 12 February 2011, 10 November 2011,  

30 August 2011, 12 February 2011, and 20 July 2010.

Six Million

       Sometimes numbers become labels for particular events.  When I was growing up, all of us knew 1492 as a label for the discovery of America.  And 1941 recognized Pearl Harbor.  The following selection from a poem by Israeli poet Yehuda Amichai (1924-2000) reminds us of the awful importance of 6 million. 
       While mentioning this poem of witness and remembering, I want also to remind you of the very special Split This Rock Poetry Festival: Poems of Provocation & Witness, to held in Washington, DC, March 27-30, 2014. (Early-bird registration ends on Valentine's Day, February 14th at midnight.)  Hope to see you there. 

Forecasting snow and poetry

Snowbound

is that other world
in which no schedules sit
and no ambitions flare
to interrupt the bluest sky
and whitest field
and coldest air

On shoulders of giants . . .

     Washington, DC is a city rich with both poetry and mathematics.  Last Tuesday evening I attended a Mathematical Association of America (MAA) lecture by author and math historian William Dunham (whom I knew when he taught for a bunch of years at Pennsylvania's Muhlenberg College, in Eastern Pennsylvania, not so far from my employer, Bloomsburg University).  Dunham spoke of insights gained by many hours reading the correspondence of British mathematician and scientist, Sir Isaac Newton (1642-1727).  The discoverer of "gravity,"  and, moreover, both a genius and a disagreeable man.  Still, Newton was a man who gave a nod to his predecessors, "If I have seen further it is by standing on ye sholders of Giants."

Little Boxes

It is hard to know what to say.
Pete Seeger died yesterday at age 94.  
94 = 2 x 47.  47 is prime.
Here is a link to Pete singing "Little Boxes."
Song lyrics are poems.

Graffiti Calculus

     In my dreams I am an artist -- a cartoonist, perhaps, or a graffiti artist -- so skilled with lines and curves and so clever that my art gives pleasure AND delivers a punch.
     And so I am gratefully into the math-art connections provoked by a new book by Mary-Sherman Willis -- aptly titled Graffiti Calculus (CW Books, 2013).  I first met Willis in December, at Cafe Muse (where I will read next Monday, Feb 3 with Stephanie Strickland) and it was my pleasure also to hear her read again from that collection at the Joint Mathematics Meetings.  These poems by Willis give us, in sixty poetic chapters, the story of a mother seeking her son by following his graffiti tags through the city.  Here is a sample, sections 5 and 6: 

Mathematics is like . . .

For angling may be said to be so like the mathematics,
that it can never be fully learnt; at least not so fully, 
but that there will still be more new experiments left 
for the trial of other men that succeed us.  

 Izaak Walton (1594-1683), The Compleat Angler (1653-1676)

Extraneous -- and so on

     Since my junior high math days, when I first heard the word "extraneous," I have loved the sound of it, the feel of my mouth when I say it, the mystery of how solving an equation can lead to extra solutions.   And then learning to check found-solutions to see if they were true solutions -- a process that has been multiply useful to me far afield from mathematics.
     My love for this math-word drew me quickly to the title of a poem by Alex Walsh, a high school student from Oberlin, Ohio, who presented her work at the poetry-with-math reading at JMM in Baltimore last Friday.   Here are her poems "Convergence" and "The Extraneous Solution" :

Word problems

       Scarcity:  Why Having Too Little Means So Much (a Times book by S. Mullainathan and E. Shafir, released last September) considers not only the facts but the feelings of scarcity and finds similarities between those those with too little time and those with too little money.  The authors report, further, that persons experiencing scarcity do not have the luxury of doing well in their studies -- of mathematics or poetry -- because the scarcity demands their first attention.
       And  . . . this connection between external environment and a student's learning brings me to a poem by Dian Sousa, a poem that gives us some things to think about.  

Poems and primes

Friday morning, 1-17-2014, looking north from the Baltimore Convention Center

       This past week I enjoyed Thursday and Friday at the Joint Mathematics Meetings at the Convention Center in Baltimore, a time for connecting with some old friends and making some new ones.  I gave a presentation in one of the sessions on the Intersection of Mathematics and the Arts, sharing poems -- such as Sherman Stein's "Mathematician" -- that can help non-maths to understand more clearly the nature of mathematics.  The handout for my talk contained a list of more than thirty poems that can help to communicate the nature of mathematics and it is available for download here. 

Poetry-with-math, Jan 17, Baltimore

Please join us!

 A Reading of Poetry with Mathematics

  Friday,  January 17, 2014   4:30 - 6:30 PM
 Room 308  Baltimore Convention Center 

At the national Joint Mathematics Meetings in Baltimore, the Journal of Humanistic Mathematics is sponsoring a poetry reading.  Following participation by these poets,who have submitted work in advance, there will be an open reading in which interested audience members will be invited to share their math-related poems.  Participating poets include: Gizem Karaali, Katharine Merow, Karen Morgan Ivy, Mary-Sherman Willis, Alex Walsh, Ted Theodosopoulos, Stephanie Strickland, Myra Sklarew, JoAnne Growney, E. Laura Golberg, Sandra DeLozier Coleman, Rosanna Iembo, and Irene Iaccarino (musician).

Sunrise gives

each  of  us

a shadow.

Writing mathy poems - a student activity

On the web-page of mathematician-poet Sarah Glaz I found a link to this file of math-related poems that she prompted students to write when she visited an Arcadia University class session of "Truth and Beauty:  A Course in Mathematics and Literature" taught by mathematician-poet Marion Cohen.  The writing was prompted by an activity-list developed by mathematician-poet Carol Dorf.  Poems by Whitney Boeckel and Olivia Lantz particularly caught my eye and, with their permission, I present them here:

The discipline of mathematics

This poem remembers one of my students.

       The Prince of Algebra      by JoAnne Growney

       Madam Professor,
       let me introduce myself.
       I'm Albert James,
       whom you may know
       by my test score
       that's lower than my age.

Martin Gardner, again

     This past weekend a review by Teller (magician of the Penn & Teller team) of an autobiography of Martin Gardner appeared in the NYTimes Book Review.  According to Teller, Gardner (1914-2010) wrote the memoir, Undiluted Hocus-Pocus:  The Autobiography of Martin Gardner, at the age of 95 on an old electric typewriter in his single-room assisted-living apartment in Norman, Oklahoma.    

Count what counts

When I visited Iceland last month, I looked in the bookstores of Reykjavik for bilingual (Icelandic-English) poetry collections; I found none. I did, however, acquire a copy of  The Sayings of the Vikings (Gudrun Publishing, 1992), a translation by Bjorn Jonasson of Hávamál -- "sayings of the high one" -- from the Poetic Edda, a collection of Old Norse poems from the Viking era and attributed to Odin.  Here are several samples that involve number or measurement:

     The Nature of  Hospitality

     I would be invited
     everywhere
     if I needn't eat at all. 

2013 (and prior) -- titles, dates of posts

Scroll down to find dates and titles (with links) of posts in 2013.  At the bottom are links to posts through 2012 and 2011 -- and all the way back to March 2010 when this blog was begun.   This link leads to a PDF file that lists searchable topics and names of poets and mathematicians presented herein.

Dec 30  Error Message Haiku
Dec 26  The angel of numbers . . .
Dec 23  Ah, you are a mathematician
Dec 20  Measuring Winter 

Error Message Haiku

Found at Komplexify.com, a variety of (often-amusing) mathematical verses -- including a collection of Error Message Haiku.  Approaching a New Year, I have been reflecting on my device-dependencies and considering resolutions about them -- and musing over some of these wistful substitutions for machine messages I dread:

       A crash reduces
       Your expensive computer
       To a simple stone.

       Chaos reigns within.
       Reflect, repent, and reboot.
       Order shall return.  

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

Ah, you are a mathematician

Thanks to Arturo Sangalli of the Writer's Union of Canada -- and fellow-participant in a recent Banff creativity conference --  who reminded me of this poem.  And thanks to Bill Dunham who has spread it widely by including it in The Mathematical Universe  (Wiley, 1997).  These brief stanzas were written in the early 1990s  when many of us kept our financial facts in checkbooks rather than online; still current, however, is the mistaken image of mathematicians as those whose task it is to keep numbers clean and orderly.

          Misunderstanding     by JoAnne Growney

          Ah, you are a mathematician,
              they say with admiration
              or scorn.    

Measuring Winter

Thomas Campion (1567-1620) was an English composer, physician, and poet.   I found this poem at poetryfoundation.org.

Now Winter Nights Enlarge     by Thomas Campion

Now winter nights enlarge
    The number of their hours;
And clouds their storms discharge
    Upon the airy towers.

Sieve of Eratosthenes

The Sieve of Eratosthenes     by Robin Chapman

He was an ancient Greek
looking for primes,
those whole numbers divisible
only by 1 and themselves,
those new arrivals on the block,
fresh additions to the stock
of indivisibles spilling through
future time (for what is time

Amounting to Something

From the Fall/Winter 2013 issue of Poet Lore, a poem by David Wagoner about the arithmetic of expectations:

     Amounting to Something     by David Wagoner

     You were supposed to do that
     by saving yourself up
               like coins in a pig rescued
               just in time sometimes
     from in front of the candy counter  
     or the desk in the corridor

13 lads of Christmas

     In addition to waterfalls and geysers and the Aurora, Iceland has outstanding museums.  On the morning of December 10, I visited the National Museum of Iceland in Reykjavik -- and enjoyed a careful introduction to the history of this fascinating and friendly nation.  Something I missed, however, was seeing one of the 13 Yuletide Lads that are an Icelandic tradition and who visit the Museum one-by-one on the 13 days before Christmas, each wearing traditional costume and trying to pilfer the goodies he likes best.

Iceland -- poetry, stones

British translator and editor David McDuff blogs at "Nordic Voices in Print" -- a site that he uses as "a way of making some of my translations of Nordic poetry and prose available online."  Here is "stones" -- the third of a group of ten poems he has posted by Icelandic poet Sjón.  This one involves a few numbers and I present it here as a math-poetry token of the fascinating land I am planning to visit: a five-day Iceland vacation adventure, traveling with my Eastern Village neighbors Priscilla and Glenn. 

stones     by Sjón (translated by David McDuff)

Conversational mathematics

In recent weeks I have been experimenting with poems that use mathematical terminology, wondering whether -- since there are readers who are undaunted by unknown literary references (to Dante's Divine Comedy or Eliot's Prufrock, for example) -- some readers will relish a poem with unexplained mathematical connections.  In this vein I have offered "Love" (posted on on November 5) and now give the following poem, "Small Powers of Eleven are Palindromes":

Last year's prediction

This poem by Halifax mathematician and poet, Robert Dawson, appeared in LabLit  in December 2012 (just in time to offer gentle mocking of predicted disaster)!  Enjoy!

Survivor's Guide to the Baktun-13 Bug    by Robert Dawson

As you may know, at this years’ Winter Solstice
the 12-baktun Long Count will overflow.

Solving equations . . .

Although poets as long ago as Henry Lok (1553?-1608?), Elizabeth Tollett (1694-1854), and William Blake  (1757-1827) used mathematical imagery in their poems, the first collection of poetry-with-mathematics that I came to was Against Infinity:  An Anthology of Contemporary Mathematical Poetry (Primary Press, 1979), collected and edited by Ernest Robson and Jet Wimp.  This volume introduced me to poems I could use with my math students and one of my long-term favorites is "Algebra" by Linda Pastan who has, in turn, become one of my favorite poets. 

Algebra cadabra

It was my good fortune to meet Colette Inez back in the early 1990s when she was poet-in-residence at Bucknell University. Then, as now, I was collecting poems-with-mathematics, and I have long loved this poem that weaves figuring into forests.

Forest Children     by Colette Inez

We heard swifts feeding in air,
sparrows ruffling dusty feathers,
a tapping on stones, mud, snow, pulp
when rain came down, the hiss of fire.
Counting bird eggs in a dome of twigs,
we heard trees fall and learned
to name them on a page for school. 

A poet (math-daughter) speaks of math's beauty

I met Minnesota poet Roseann Lloyd when we served together on an AWP (Associated Writing Programs) conference panel on translation several years ago.  There I was considering, as I so often am, the translation of mathematics into representations that poets understand.  Roseann 's father was a mathematics professor and she learned early that "mathematics is its own beauty."  And she has permitted me to offer you this poem.

HOW MY DADDY CHANGED WHEN HE GAVE UP TEACHING COLLEGE FOR SELLING INSURANCE     by Roseann Lloyd

Once Daddy enthralled his students at SMS --
handsome in his navy blue suit and dusty hands,
chalk clicking out equations lickety-split.
A third-grader, I waited for him every day
in the cool marble hall.  Listened to the rhythm
of the chalk on the board.   Even then I knew
that pure math is an art equal to music, second
only to poetry in the realm of beauty.    

Counting responses

At the Poetry Foundation website, poet Audre Lorde (1934-1992) is described thus:

               A self-styled "black, lesbian, mother, warrior, poet," 

               writer Audre Lorde dedicated both her life 
               and her creative talent to confronting and addressing 
               the injustices of racism, sexism, and homophobia.

Here is a counting poem by this fine, bold poet:

Inequality of Compromise

This past week I attended a wonderfully stimulating BIRS (Banff International Research Station) Conference  -- a gathering of creative writers in mathematics and the sciences -- and, as I told colleagues at Banff of early days in my long-term interest in the poetry of mathematics, I recalled the fine collection Against Infinity:  An Anthology of Contemporary Mathematical Poetry (Primary Press, 1979), collected and edited by Ernest Robson and Jet Wimp.  Today I pulled it from my shelves and again turned its pages.  "Compromise" by Missouri mathematician Charles S. Allen caught my eye.  Here it is: 

The minute in infinity

From  Treatise on Infinite Series     by Jacob Bernoulli

Even as the finite encloses an infinite series
      And in the unlimited limits appear,
So the soul of immensity dwells in minutia
      And in narrowest limits no limits inhere.
What joy to discern the minute in infinity!
      The vast to perceive in the small, what divinity! 
 
                    Translated from the Latin by Helen M. Walker

Found in the anthology, Strange Attractors: Poems of Love and Mathematics (A K Peters, 2008), edited by Sarah Glaz and me.  A complete table of Contents for this collection may be found here.

Like advanced math?

One thing leads to another . .. . poet Amy Eisner connected me to mathematician Jordan Ellenberg who knew of Easy Math (Sarabande Books, 2013) by Lauren Shapiro -- and Lauren gave me permission to post her "Bent Syllogism."

 Bent Syllogism     by Lauren Shapiro

There was a pattern to the way the mythical beasts
flew over the dreary town, but we were too dreary
to understand it.  The psychologist, too, was in touch
with extraterrestrials, but she had to stand on the spire
of a church and wear 3-D glasses to see them. 

Love mathematics!

In the stanzas below, I have some fun with math terminology.  Hope you'll enjoy it too.

       Love!        by JoAnne Growney

       Love algebra!  Through variable numbers
       of factored afternoons and prime evenings,
       party in and out of your circle of associates,
       identify your identity,  meet your inverse.  

Neruda speaks of numeration

The collection, Late and Posthumous Poems, 1968-1974 (Grove Press, 1988) by Chilean Nobelist Pablo Neruda (1904-1973) offers to readers a collection of Neruda's later work, ably translated by Ben Belitt.  Here is a poem that explores the vast world opened by the invention of numeration.

     28325674549     by Pablo Neruda

     A hand made the number.
     It joined one little stone
     to another, one thunderclap
     to another,
     one fallen eagle
     to another, one
     arrowhead to another,
     and then with the patience of granite
     the hand 
     made a double incision, two wounds,
     and two grooves:  and a
     number was born.

On poetry and geometric truth . . .

          On poetry and geometric truth
          And their high privilege of lasting life,
          From all internal injury exempt,
          I mused; upon these chiefly:  and at length,
          My senses yielding to the sultry air,
          Sleep seized me, and I passed into a dream.

                                                  William Wordsworth (1770-1850)
                                                  from The Prelude, Book 5

From order to chaos -- a sonnet

Fractals    by Diana Der-Hovanessian

                             Euclid alone has looked on beauty bare
                                                    --Edna St. Vincent Millay

Euclid alone began to formulate
the relation of circle, plane and sphere
in equations making it quite clear
that symmetry is what we celebrate. 

Two cultures

The opening poem of Uneasy Relations by mathematician-poet Michael Bartholomew-Biggs is concerned with similarities and differences between mathematical and poetic cultures -- a topic of immense interest also to me and one that I too try to address in my verse.  I wonder --  HOW can I show non-mathematicians that good mathematics is poetry??!!  And, moreover, how can I (mostly a mathematician) write (as advocated by Wallace Stevens and agreed with by other poets) of things rather than (as mathematics wants) of ideas.  OR, may one make poetry of ideas?

   Two Cultures     by Michael Bartholomew-Biggs

   Graves claimed there isn't
   much money in poetry:
   and none vice-versa.

   The first part stays true
   if we replace poetry
   by mathematics. 

Two-line poems -- Landays -- from Afghanistan

Celebrate Activist Poetry -- At Nov. 1 Event

BE THERE on November 1, 2013 at the Goethe-Intitut in Washington DC when poet and journalist Eliza Griswold is  honored with the Split this Rock Freedom Plow Award (register here for this important event) for Poetry and Activism for her work collecting and introducing the folk poems of Afghan women to America.  The June issue of Poetry Magazine is entirely dedicated to landays -- two-line poems by Afghan women that capture dark, funny, and revealing moments that few outsiders ever witness.  (Edited and introduced by Griswold, the poems are magnificently supplemented by photographs by Seamus Murphy.)

Here are three landays from Griswold's Poetry collection, each selected for inclusion here because it includes at least one number: 

Topology for poets

     The title of this posting ("Topology for Poets") comes from Maryland Poet Amy Eisner's poem "Lure" (offered below) -- a poem that plays with math concepts.  (In mathematics, "topology" is a variant of geometry in two shapes are "equivalent" if one could be obtained from the other by stretching or bending.)   
     It was my pleasure to meet Amy when she read in the Takoma Park Third Thursday Poetry Series earlier this year.   I like her work.  Enjoy!

Lure    by Amy Eisner

1.

My friend is crocheting a fishing line. This is not a gift and keeps no one warm.
This is withdrawing. Persisting in a flaw. Forfending.

She knows there’s something perverse in it. Like growing a mold garden.
Fishing does involve a hook, a line, and a net. But not like this.

Mathematics of love . . .

"Mathematics of Love" is the title poem of a collection by John Edwin Cohen (1941-2012), published in 2011 by Anaphora Literary Press and presented here with press permission.  Cohen has used mathematics playfully and does what a mathematician never dares to do, use a mathematical term with other than its precise meaning. Still, perhaps, even math folks may enjoy this application of geometric shape and poetic license!

Mathematics of Love     by John Edwin Cohen

1.   

       Engine of joy
       arithmetic and sincere
       holding the hemisphere
              and geometry of
              youth

Circle Power

Everything the Power of the World does is done in a circle

         by Black Elk (1863-1950)  (translated from Sioux)

Everything the Power of the World does
is done in a circle.  The sky is round,
and I have heard that the earth is round
like a ball, and so are all the stars.
The wind, in its greatest power, whirls. 

"My Proteins"

The mysteries of science are sometimes explored in poems and, in this vein, I was delighted to find "My Proteins" by Jane Hirshfield (a poet whose work I like and admire) on page 56 of the September 16, 2013 issue of The New Yorker.   As she explores the riddles of who she is and where she came from, she has these lines-with-numbers (stanzas 3 and 4):

from My Proteins      by Jane Hirshfield

     Ninety percent of my cells, they have discovered,
     are not my own person,
     they are other beings inside me.

     As ninety-six percent of my life is not my life.
          . . .

Look for the entire poem; and enjoy! 
Another exploration of what the self is and isn't may be found in Hirshfield's "My Skeleton"  -- today's Poem-A-Day selection from Poets.org.  Jane Hirshfield's poem "Mathematics" is available here in my post for 23 June 2010.

Mathews retells Dowland (with permutations)

 In my post for 6 September 2013 I presented Oulipian Harry Mathews' poem "Multiple Choice" -- a poem whose alternative story lines might be represented by a tree diagram.  That poem was but one of 29 variations (or "Exercises in Style") by Harry Mathews as he retold again and again a tale first offered by lute-player and composer John Dowland (1563-1626), a musician whose work still finds audience today.   Here is Dowland's tale, from which Matthews created 29 alternative versions.  (See "Trial Impressions" in Armenian Papers, Poems 1954-1984 (Princeton University Press, 1987, out of print) and in A Mid-Season Sky:  Poems 1953-1991 (Carcanet, 1992).) 

Split This Rock 2014

     Plan now to attend the 4th national biennial Split This Rock Poetry Festival: Poems of Provocation & Witness in Washington, DC, March 27-30, 2014.  The sixteen poets to be featured at the 2014 festival are:  Sheila Black, Franny Choi, Eduardo C. Corral, Gayle Danley, Natalie Diaz, Joy Harjo, Maria Melendez Kelson, Yusef Komunyakaa, Dunya Mikhail, Shailja Patel, Wang Ping, Claudia Rankine, Tim Seibles, Myra Sklarew, Danez Smith, and Anne Waldman.   The website SplitThisRock.org offers photographs and more information about the festival.  It will be awesome!  

Measuring the World . . .

     Yesterday afternoon, at the Goethe Institut in Washington DC, I saw a wonderful film, "Measuring the World." Based on a popular 2005 novel by Daniel Kehlmann, the story of a friendship between preeminent German mathematician Carl Friedrich Gauss (1777-1855) and Prussian naturalist Alexander von Humboldt (1769-1859).  The film offers a delightful interplay of personalities and ideas as it darts between the explorations of these two men -- one digging inside his head for mathematics and the other traveling over mountains, through jungles, across oceans. 

Sonnet -- To Science

Edgar Allan Poe's "Sonnet -- To Science" was the "Poem-A-Day" selection of poets.org last week on September 29.  The poem is in the public domain and I offer it to you below. As Poe speaks of science I wonder whether -- if he had not announced his subject -- we might as easily imagine he is speaking of poetry. 

Splendid Wake project

On Wednesday, September 25, more than one hundred poets met at the George Washington University Gelman Library's Special Collection Conference Room to show support for the Splendid Wake project -- an effort to document poetry in the Washington, DC area from 1900 forward. Initiated more than a year ago by Myra Sklarew and Elisavietta Ritchie, the project will honor poets associated with our nation's capital.  Interested persons are invited to visit the project's main page and to consider a submission -- biographies and information about poetry projects of all sorts (journals, reading series, websites, and so on).  Management of the project is being coordinated by GW Special Collections Librarian Jennifer King (jenking @ gwu.edu).
     In celebration of this project, here is "Monuments," a sestina (a poetic form involving permutations of the line-end-words) by Myra Sklarew that honors some of DC's past poets.

Averaging . . . geometry of the center

Perhaps partly due to his experience as an Air Force pilot during World War II,  Harold Nemerov (1920 - 1991) uses geometry with deft precision as he describes phenomena around him.  Here is a poem inspired by a 1986 news item.

Found Poem     by Howard Nemerov 

           after information received in The St. Louis Post-Dispatch, 4 v 86

The population center of the USA
Has shifted to Potosi, in Missouri.

The calculation employed by authorities
In arriving at this dislocation assumes

That the country is a geometric plane,
Perfectly flat, and that every citizen,

A poet re-envisions space

University of Pennsylvania professor Robert Ghrist, in his September 19 lecture ("Putting Topology to Work") at the MAA's Carriage House, credited poet John Milton (1608-1674) with the first use of the word space as an abstract entity -- and, Ghrist asserted, by so doing, Milton opened a door to the study of abstract space (known in mathematics as topology).

The following material is a 24 September correction

from my 23 September posting.  For I discovered -- in a thoughtful email from Ghrist --

that the proper citation of "space" was not from line 50 of Book 1 but from line 89 of Book 7.  

(I invite you go to Project Gutenberg for Paradise Lost in its entirety.)

Here, below, I have replaced my original posting of  lines 44-74 of Book 1 

with lines 80 - 97 of Book 7 --  lines taken from my shelf copy of Milton's Paradise Lost,

 the 1968 Signet Classic Edition, edited by Christopher Ricks.

In the selection below and throughout his epic, Milton replaces past visions of hell down-in-the-earth and heaven up-in-the-sky with more complex and abstract configurations.

BRIDGES poems, from 17 poets

Due to the hard work of mathematician-poet Sarah Glaz, poetry has been an important part of recent BRIDGES-Math-Art Conferences. And, under her editing, a Bridges 2013 Poetry Anthology has been released, featuring poetry from these poets who participated in one or more of the three most recent BRIDGES conferences (Enschede, Netherlands, 2013; Towson, Maryland, 2012; Coimbra, Portugal, 2011). 

Perfect circle, Haiku

          Perfect circle round
               the moon
          In the center of the sky

by Jack Kerouac (1922-1969), from Book of Haikus  (Penguin, 2003).  Thanks, Francisco.

PS.  If Kerouac were a mathematician he'd have noticed that "perfect" is implied by the definition of "circle" and is unnecessary.  But Kerouac was a poet and he saw a different necessity.

Consider Pascal

     Mathematician Blaise Pascal (France, 1623-1662) is known for his explorations with computing machines, for his ideas concerning probabilities, for trying to make rational a decision to believe in God and eternal life, for his explorations of the cycloid and the limacon (curves generated by rolling circles) and a host of other topics.
     I was introduced to Melbourne poet, novelist, and mathematician (he teaches at Victoria University of Technology), Tom Petsinis by South-African editor of Poetry-International, Liesl Jobson.  Here from Petsinis' collection, Naming the Number (Penguin, 1998) is "Pascal's Tooth," (a poem also available at the Poetry-International site).  In the grip of severe pain, Petsinis ponders the ideas of Pascal.  

Kaplansky sings Kaplansky (and Pi)

     I first knew of mathematician Irving Kaplansky (1917-2006) through his monograph, Infinite Abelian Groups -- it was one of my texts for a graduate seminar (with Gene Levy) at the University of Oklahoma in the 1960s.  Later I knew Kaplansky as a songwriter, author of new lyrics for "That's Entertainment."  Kaplansky's adaptation, "That's Mathematics," dedicated to his former student, math-musician-songwriter Tom Lehrer, and to his daughter, singer Lucy Kaplansky, is given below.
      In 1999, in Science News, writer Ivars Peterson (now Director of Publications for the MAA -- Mathematical Association of America) wrote an article about Kaplansky's songwriting in which he mentions  his daughter, Lucy Kaplansky, a singer who frequently performs her father's songs.  A YouTube recording of Lucy singing "The Song of Pi" (in which there is a correspondence between musical notes and the first fourteen digits of pi) is available here.  (Lyrics for "The Song of  Pi" and information about the correspondence are available in Peterson's article.)

Nature poems -- at Stillwater

     As noted in my 5 August posting, the Stillwater poetry festival (organized by Kevin Clark) was scheduled for last Saturday, September 7 -- and I was (though delayed by the death of a car battery) able to attend.  A time to catch up with old friends -- River Poets Dave Barsky, Carol Ann Heckman, and Janet Locke, and Wilkes-Barre poet Richard Aston.  Poets and musicians featured at the festival included Lester Hirsh, Pamela Kavanaugh, James Pingry, Doug McMinn, Jack Troy, Julia Spicher Kasdorf, and Sheryl St. Germain. 
     The theme at Stillwater was Nature/Agriculture and my 5 August post included poems from conference organizer Clark and featured reader Kasdorf -- poems that involved both nature and mathematics.  Although found in Kasdorf's opening poem, "Double the Digits," mathematics was scarce.  Sheryl St. Germain, the final reader (currently a Pittsburgher, transplanted from New Orleans) briefly mentions computation and measurement in her "Hurricane Season ."   The full poem is available through St Germain's website; here is one of its stanzas. 

Mathematical structure and Multiple choice

     A sonnet repeats the iambic rhythm of the heart beat (da-DUM, da-DUM, . . .) with a line length corresponding to a typical breath (5 heartbeats); it thus seems easy to internalize the numerical structure that guides such a poem. 
     A decision tree offers a very different choice of mathematical structure for a poem -- displaying for a reader different choices among stanzas.  Originally proposed to the OULIPO by founder Francois Le Lionnais, and referred to as a multiple-choice narrative, such a structure allows readers of a poem to choose among subsequent events. Instead of reading the poem vertically, we may jump about, choosing the sequence we want to read.

Poetry-with-math in Baltimore -- 17 Jan 2014

At the Joint Mathematics Meetings in Baltimore (January 15-18, 2014), the Journal of Humanistic Mathematics (under the leadership of editors Mark Huber and Gizem Karaali) will sponsor a poetry reading.  Mark your calendar now! (And be sure to scroll down past the reading announcement to poems from last year's JHM reading in San Diego by poets Katie Manning and Karen Morgan Ivy.)

 Friday,  January 17, 2014. 4:30 - 6:30 PM

 Room 308  Baltimore Convention Center