Some of the Magic of THREE

The Universe in Verse -- an Earth-Day celebration of Science and Poetry

A NYC event on April 23 -- learn more here!

     In her brain-pickings website, Maria Popova offers myriad links between science and poetry -- and one of the poems she has, to my delight, reminded me of is "Renascence" by Edna St. Vincent Millay (1892-1950).  Here is the first stanza:

 from    Renascence   by Edna St. Vincent Millay

          All I could see from where I stood
          Was three long mountains and a wood;
          I turned and looked another way,
          And saw three islands in a bay.
          So with my eyes I traced the line
          Of the horizon, thin and fine,
          Straight around till I was come
          Back to where I’d started from;
          And all I saw from where I stood
          Was three long mountains and a wood.
              . . .

Millay goes on to speak of flat and wide, of spheres and Infinity . . .. a story related to the poems is available here and the entire poem is found here at PoetryFoundation.org.

Judith Grabiner and Howard Nemerov

     Last evening at the Distinguished Lecture Series sponsored by the MAA it was my privilege to hear an outstanding presentation by Judith Grabiner entitled "Space: Where Sufficient Reason Isn't Enough."  (I invite you to go to the MAA website to learn more about Grabiner and her talk.)
     Grabiner is a math-woman I have long admired and, after the lecture, while I was shaking her hand and thanking her for the excellent presentation, I took a moment to ask her if she had any favorite mathy poems.  Although surprised by my question she was able to cite Elizabeth Barrett Browning's Sonnet XLIII  that counts the ways of love -- a few lines of which are found here -- and the name Howard Nemerov, whom readers of this blog know is one of my favorite poets.
     You may scroll down to find Nemerov's "Magnitudes" (found also at PoetryFoundation.com and PoemHunter.com along with other work by this fine poet).  Poet Laureate of the United States during 1988-1990, Howard Nemerov  (1920-1991) served as a combat pilot during World War II and maintained a continuing interest in the stars and navigation.  Here are links to my earlier postings of poems by this favorite poet.

"Two Pair"      "Grace to Be Said at the Super Market"
"Lion and Honeycomb"     "Creation Myth on a Mobius Band"
"To David, About His Education"     "Found Poem"    "Figures of Thought"

And here, expressing concerns about our planet, is Nemerov's "Magnitudes":

Browse Math-Poetry Links . . .

     Today I invite you to browse -- to spend a moment reading titles, clicking on a title that intrigues you.   ENJOY!

• TITLES OF POSTS (with links)
•      January, 2020
  •     We become what we think . . .
  •     With bits of mathematics, a poem for a New Year
•      December, 2019 
  •     Poetry made visual with math terms
  •     Math-poetry in support of immigrants
  •     Counted syllables --> holiday wishes . . .
  •     Where are you from?
  •     Writing to Learn -- try Haiku        

Honor World Poetry Day on 3/21 with a Math Poem

On March 21 each year, UNESCO World Poetry Day! 

Browsing down through this blog will lead you to lots of poems to read to celebrate that special day. In addition, here's something new -- I offer below part of a fine poem that I recently found again in an old collection, Verse and Universe, (Edited by Kurt Brown, Milkweed Editions, 1998). 

from     Reasons for Numbers     by Lisel Mueller (1924-2020)

          1
          Because I exist

          2
          Because there must be a reason
          why I should cast a shadow

          3
          So that good can try to be better
          and become best
          and beginning grow into middle and end 

From 2010 -- titles and dates of posts

List of postings  March 23 - December 31, 2010
A scroll through the 12 months of titles below may lead you to topics and poets/poems of interest. Also helpful may be the SEARCH box at the top of the right-hand column; there you may enter names or terms that you would like to find herein.
    Dec 31  The year ends -- and we go on . . .
    Dec 30  Mathematicians are NOT entitled to arrogance
    Dec 28  Teaching Numbers
    Dec 26  Where are the Women?
    Dec 21  A Square for the Season
    Dec 20  "M" is for Mathematics and . . .  

Computer code -- is poetry?

Dubliner Eavan Boland is a master poet (and one of my favorites); Ireland shares her with the creative writing program at Stanford University.  In Against Love Poetry (Norton, 2001), we find Boland's tribute to the also-amazing master of language, Grace Murray Hopper (1906-1988).

                     Code          by Eavan Boland

             An Ode to Grace Murray Hopper  1906-88

    maker of a computer compiler and verifier of COBOL 

   Poet to poet.  I imagine you

     at the edge of language, at the start of summer

       in Wolfeboro, New Hampshire, writing code.

         You have no sense of time.  No sense of minutes even.

           They cannot reach inside your world,

             your gray work station

               with when yet now never and once.

                 You have missed the other seven.

                   This is the eight day of Creation.

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."

Earthquake and Hurricane

It would not be easy to argue that a poem whose numbers merely identify its stanzas is "mathematical" but "Curriculum Vitae," found at poets.org and written by Pullitzer Prize winning poet Lisel Mueller, also contains the words "earthquake" and "hurricane" and thereby is significant on this Saturday in Silver Spring -- five days after a 5.8-magnitude earthquake damaged both the Washington Monument and the National Cathedral and on the very day that millions of us are watching the progress of Hurricane Irene as it storms north along the eastern coast of the US. In acknowledgment of these days, I invite you to read this fine poem:

Putting CALCULUS into a poem . . .

 Can our world be described using calculus?

     The poem-a-day offering this morning (6/21/21) from poets.org gives me new ideas about describing a problem-situation using some terms from mathematics.  I offer part of the poem below, followed by a link to the complete work.

from  Disintegrating Calculus Problem     by McKenzie Toma

A dramatic clue lodged in a rockface. Set in a shimmering sound belt slung around the grasses. Collections of numbers signify a large sum, a fatness that cannot be touched. Numbers are heart weight in script. Calculus means a small pebble pushed around maniacally. Binding affection, instead of fear, to largeness.  

Ideas are peeled into fours and pinned on the warm corners of earth to flap in a wind. Wind, the product of a swinging axe that splits the sums. This math flowers on the tender back of the knee.     . . . .

     McKenzie Toma's complete poem appears here (with other poem-a-day offerings at poets.org) and and here (along with several others of her poems).

America, land of equals (perhaps)

Preparing to celebrate (after Valentine's Day) Presidents' Day, remembering particularly George Washington (b February 22, 1732) and Abraham Lincoln (b February 12,1809), I offer a few lines by Walt Whitman (1819-1892).

       America     by Walt Whitman

       Centre of equal daughters, equal sons,
       All, all alike endear'd, grown, ungrown, young or old,
       Strong, ample, fair, enduring, capable, rich,
       Perennial with the Earth, with Freedom, Law and Love,
       A grand, sane, towering, seated Mother,
       Chair'd in the adamant of Time.        [1888]

This poem is found here in the Walt Whitman Archive.

I have dreamed geometry

   Descartes     by Jorge Luis Borges

   I am the only man on earth, but perhaps there is neither earth nor man.
   Perhaps a god is deceiving me.
   Perhaps a god has sentenced me to time, that lasting illusion.
   I dream the moon and I dream my eyes perceiving the moon.
   I have dreamed the morning and evening of the first day.

Hikmet -- painting with numbers

Living is no laughing matter . . . 

These are words of Turkish poet, playwright, novelist and memoirist Nazim Hikmet (1902-63), who spent much of his life in prison or exile for his political beliefs.  In the following poem by Hikmet we see a portrait that builds from the numbers that characterize the landscape of Ibrahim Balaban's painting.  As you read Hikmet's poem, consider the value of numbers in portraiture.  Though they do not have the textures of color nor the movement of lines, numbers have shapes and edges that may much enrich our seeing. 

Celebrating a math-woman

I am continually searching for poems that feature past and current math-women.
When you find one (or create one) I will be glad to have you send it along.

The lunar crater L Herschel is named for astronomer Caroline Lucretia Herschel (1750-1848) -- and I have celebrated this math-woman earlier with two fine poems:  "Letter from Caroline Herschel" by Siv Cedering , and "Planetarium" by Adrienne Rich.  Now Herschel is the focus of a forthcoming book by poet Laura Long, The Eye of Caroline Herschel: A Life in Poems, (Finishing Line Press, 2013).  Here, from that collection, is "The Taste of Mathematics:  Caroline Herschel at 31" -- this poem also appears, along with a note about the full collection, in the July 2013 issue of The Journal of Humanistic Mathematics.  

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.    

Opposites, Balance

     Recently, and perhaps always, opposites have interested me.  For example, the complementary and sometimes  conflicting nuggets of advice contained in "Pinch a penny, waste a pound" and "It is best to prepare for the days of necessity."   And in  "Kindness effects more than severity" and "Spare the rod, spoil the child."   Maybe what I like best is the challenge of synthesizing opposite truths.
     Mathematics contains many pairs of entities that are, each in some different sense, opposites:

2 and -2      2 and 1/2

horizontal and vertical   differentiation and integration

And there are some arbitrary subdivisions that often are treated as if they are disconnected opposites:

pure vs. applied (creating mathematics vs. solving problems)

teaching and learning, creating vs. teaching, arts and sciences

In an ideal world, opposites exist with "Balance" -- which is the title of the following lovely and contemplative poem by Adam Zagajewski :

Clearing the Air with a Poem

     Every poem has a climate -- a collection of emotional tones that overlay and underlay its words. Today -- as the U.N. meets in NY to discuss the future climate of our planet -- I have been looking for mathy poems with a climate of advocacy, verses that let the world know that we must, soon and vigorously, take action to keep our earth habitable.
      One of the things I found is a poem (involving a couple of numbers and mathy words) by Simon Armitage that is printed on material that cleanses the air around it by absorbing pollutants.  A small photo from the website of Sheffield University is shown below -- and I urge you to follow the Sheffield link for the story of the poem and this link to see the full poem more clearly and the story behind it.  Here is Armitage's opening stanza. 

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.

Visit JHM for Mathy Poems

     Today I'd like to direct you to the Journal of Humanistic Mathematics, an online open-access journal that features poetry in each issue.  The Table of Contents for the first issue of 2016 is now available here -- and I offer below a poem from Issue 1 of 2015.  (Before sharing the poem "Prisoner's Dilemma" by Raymond Greenwell I want also to mention that JHM is looking for investigative journalists and that today's "Poem of the Day" at Poets.org is "Evolution" by Linda Bierds and inspired by the work of Alan Turing.)
     I am particularly intrigued by Greenwell's poem because the Prisoner's Dilemma is a decision model close to my concerns about the environment. (More comments below.)

       Prisoner's Dilemma     by Raymond N. Greenwell

       Your best choice is my demise.
       My wise choice is your defeat.    

Poems starring mathematicians - 5

In my own library this next poem is found (untitled) in Collected Sonnets by Edna St Vincent Millay (1892-1950),  but it also is found online at various sites. The first line of the sonnet, which announces Euclid as its subject, is well-known to most mathematicians; enjoy here all fourteeen lines.

Stanescu - poetic mathematics

Today I found a link to a recent article, "Matematica şi poezia," that considers commonalities among the arts and mathematics and, therein, mentions a poem by Nichita Stanescu (1933-1984) which Gabriel Prajitura and I have translated.  The poem, "Poetic Mathematics," is dedicated to Romanian mathematician Solomon Marcus.  Here is Gabi's and my translation: