Balancing an Equation

     I grew up on a farm and spent my middle life in a small town and now live in a city.  A sort of immigrant.  A farm girl who became a professor.  A balancing act.
     Some years back, one of my math department colleagues posted on his office door a quote from George Bernard Shaw (1856-1950) :   

     The reasonable man adapts himself to the world: the unreasonable one persists 
     in trying to adapt the world to himself. Therefore all progress depends 
     on the unreasonable man.

At one time I much agreed with the Shaw quote.  Now (perhaps because I am older or because I now live near to Washington, DC and contentious party politics) I am more admiring of balance than unreasonableness.  Here is a lovely poem by Caroline Caddy about balance and numbers. 

What is not possible?

     It is impossible for a number to be greater than 2 if it is not greater than 1.  It is impossible to find a rational number whose square is 2.   Up to now it has not been possible to show that π is a normal number.  Mathematicians like the challenge of the impossible.  To challenge, to prove, to refute.
     In the poem below Chelsea Martin devises an entertaining web of circular reasoning to explore the impossibility of eating at MacDonald's.

McDonalds Is Impossible       by Chelsea Martin

Eating food from McDonald's is mathematically impossible.
Because before you can eat it, you have to order it.
And before you can order it, you have to decide what you want.
And before you can decide what you want, you have to read the menu.
And before you can read the menu, you have to be in front of the menu.
And before you can be in front of the menu, you have to wait in line.
And before you can wait in line, you have to drive to the restaurant.
And before you can drive to the restaurant, you have to get in your car.
And before you can get in your car, you have to put clothes on. 

Count your things

     In the development of human culture, mathematics began with counting.  And so it also begins with each child as she/he grows.
     Someone said that a person is wealthy when she has more things than she can count.  Another view is that true wealth is having no need to count.  Whether or not either is is correct, we can appreciate "My/My/My" by poet Charles Bernstein (begun below and completed at poets.org).

My/My/My        by Charles Bernstein   

          Count these number of things you call mine. This is the distance between
          you and enlightenment.                                 —Swami Satchidananda

                        (for Jenny)

my pillow

my shirt

A sestina from Rudyard Kipling

My father died many years ago, when I was still a young girl, and I have few possessions that were once his.  One is The First Jungle Book, signed "Fulton Simpson" with his hand; it is very precious.  By extension, all work by Rudyard Kipling (1865-1936) falls under my interest.  And a sestina by Kipling is worthy of note:

Sestina of the Tramp-Royal     by Rudyard Kipling

     1896

Speakin’ in general, I ’ave tried ’em all—
The ’appy roads that take you o’er the world. 
Speakin’ in general, I ’ave found them good 
For such as cannot use one bed too long, 
But must get ’ence, the same as I ’ave done, 
An’ go observin’ matters till they die.

A Man-Made Universe and "found" poems

 Some poems are found rather than crafted.
It's such fun -- can happen to anyone -- 
to be reading along and find a poem. 

     This post continues (from the June 4 posting) consideration of lines that were not initially written as poetry but have been later discovered to have the desirable characteristics of a poem.
     In an early-April posting I offered a poem-in-a-photo, a poem created of book spines -- and the bottom book in my pile of six is Mathematics, the Man-Made Universe:  an Introduction to the Spirit of Mathematics by Sherman K Stein (Third Edition, Freeman, 1976).  Reprinted in 2010 in paperback format, Stein's textbook -- for a "general reader," a curious person who is not a mathematician -- has been on my shelf for many years and, though I never taught from it, I have enjoyed it and shared it with friends (and I love its title). Recently, in the opening paragraph of Stein's Chapter 19 (page 471), I found a poem:

A poem from an airline call center

     Poet Laura LeHew offers us "The New Math"-- a "found" poem that features conversations and calculations from call center negotiations to reschedule an airline flight -- posted in April, 2011 by the nonprofit literary arts collective [PANK].
     LeHew's poem starts out like this:

The New Math     by Laura LeHew
     a found poem 

Credit for the call center in India
to change your flight to the wrong day,
again

                                                                                      ($350.00) USD

Geometry of distance

     Some of the poems herein arrive as gifts from friends.  Today's poem came via e-mail from Susan (a Californian whom I have gotten to know when she visits my neighbor, Priscilla).  Susan got it from Larry Robinson who connected me with the poet, Richard Retecki, for permission to post it here.
     As has been said in other contexts, It takes a village . . .    
     Thanks to you all!

     ascension           by Richard Retecki

               for Jonathan Glass

     the geometry
     of distance annoys
     is unfilled

Haiku with a number or two

     Recently Irish poet and New Yorker poetry editor Paul Muldoon read at the Folger Shakespeare Library -- and, sadly, I missed the event.  To note the occasion, however, I turned to a Muldoon collection on my shelf, purchased a dozen years ago when I heard him read -- a lively and enjoyable performance, with wit and gusto -- at Bucknell University's Stadler Poetry Center.  
     I have not found significant mathematical imagery in Muldoon's work -- but here are several stanzas from his "Hopewell Haiku" that include numbers.

     XLI        by Paul Muldoon

          Jean paints one toenail.
          In a fork of the white ash,
          quick, a cardinal.    

Related rates -- in fiction and poetry

     During the Memorial Day weekend I had the opportunity to read Black Rice (WSI, 2013), a novella by Burmese-American poet, artist, activist -- and friend -- Kyi May Kaung; I strongly recommend this book to you.  (My 5-star review of Kaung's book is available here at amazon.com -- follow the link and scroll down.)
     Here, in this blog, we mention topics if and only if they relate to both mathematics and poetry.  Read on and you will see!
     Midway through Black Rice, the narrator (speaking of an overflowing stream) reveals a negative attitude toward mathematics -- a strategy often used to provoke readers to experience empathy:  "Ahhh, just like me."  Here are the Burmese soldier's words:

Haiku to Mars

 Send a Haiku to Mars on the MAVEN!

NASA has a contest (deadline July 1) 

to select three Haiku to send to Mars:  

NASA is offering all of us a way to  ‘Go to Mars’ aboard a DVD flying on the solar winged MAVEN (Mars Atmosphere and Volatile Evolution) orbiter via a contest managed by the University of Colorado at Boulder’s Laboratory for Atmospheric and Space Physics (CU/LASP).  Haiku messages will be voted on by the public; the top three most popular entries will be sent to Mars on the MAVEN spacecraft and will be displayed on the MAVEN website.  More information here.

7-prime Haiku

Start with 2 - 3 - 5  
and then 7 - 11 - 
13 - 17

Shifting patterns

This poem by California poet and scientist Lucille Lang Day weaves a shifting display of images -- the flight patterns of birds made vivid with mathematical terminology. As the poet's observations meander, they build to a question: is a galaxy something like a sparrow?

     Form/Formless      by Lucille Lang Day

     A flock of red-winged blackbirds 
     swooping and swirling 
     in cyclonic and anticyclonic patterns 

     always in motion like Jovian clouds 
     that appear, then disappear 
     according to the mathematics of chaos 
     in yellow, brown and salmon-colored layers 

Mathematics and Mexican Food

Recently Rattle posted a wonderful mathy poem by Diana Rosen entitled "Mathematics and Molé." Here's the first stanza:

     Mathematics and Molé     by Diana Rosen

     Numbers flicker in front of my eyes as
     I give him my full attention.
     Differential geometry explains the black hole, he says.
     It’s very obvious.
     I lean forward to catch his words,
     my chin in cupped hand,
     eyes intent on his, yet
     thinking of Mexican food.

     Mathematics is the language of science, he says.
        . . .

Rozen's complete poem is here.

The Icosasphere

Marianne Moore (1887-1972) has fun with the sounds of words -- including a number of math terms -- in her playful poem that celebrates inventive constructions from bird nests to a steel sphere-like icosahedron to the Pyramids of Egypt. 

The Icosasphere       by Marianne Moore

“In Buckinghamshire hedgerows  
     the birds nesting in the merged green density,  
          weave little bits of string and moths and feathers and
                                                                                    thistledown,  
              in parabolic concentric curves" and,  
     working for concavity, leave spherical feats of rare efficiency; 
          whereas through lack of integration,  

Sustainability and Collapse

     Last Tuesday evening mathematician Charles Hadlock offered an excellent lecture -- "Sustainability and Collapse" --  at the MAA Carriage House.  Hadlock's presentation offered examples and arguments from his recently published book, Six Sources of Collapse (MAA, 2012).  This must-read book describes investigation into common dynamics of disaster processes from the extinction of the passenger pigeon to the Chernobyl accident to extreme weather and . . .
     My lingering thoughts about Hadlock's engaging lecture led me to look for poems related to sustainability and collapse.  From my bookshelf I pulled Making Certain It Goes On:  The Collected Poems of Richard Hugo (Norton, 1984) and found this poem of collapse and counting:

Degrees of Gray in Philipsburg      by Richard Hugo (1923 - 1982) 

Four -- square, colors, theorem, poem

During my doctoral study days at the University of Oklahoma I knew several mathematicians who were working on graph theory problems -- and a couple of them worked on problems related to the Four Color Conjecture -- a conjecture (dating back to around 1850) that became a theorem in 1976 with a proof by Kenneth Appel and Wolfgang Haken verifying (using many hours of computer time).  It asserts that four colors are sufficient to color any plane map so that no pair of adjacent regions have the same color.  This theorem has been again on my mind since reading the obituary of Kenneth Appel, who died on April 19.
Here is a link to an earlier posting (5 November 2011) on the Four Color Problem with a poem by Frank Bernhart.  And here, repeated from that post, is my poetic version of the Four Color Theorem:

        F O U R
        F O U R
        F O U R
        F O U R

Enough for everyone -- Russell Libby

Are you looking for a poem on a particular math topic?  One search strategy is to go to the Poetry Foundation website (another is to click on the green SEARCH BOX in the right column of this blog) and enter your math term into the search box; if, for example, you enter "geometry" one of the poems you find will be this one by Russell Libby (1956  -2012).  Both poet and organic farmer, Libby believed in sustainability:  all it takes is one well-cared-for seed to grow and spread.  Here is his "Applied Geometry." 

     Applied Geometry     by Russell Libby

     Applied geometry,   

     measuring the height   

     of a pine from   

     like triangles,   

Growing lines . . .

 Maximizing Meaning (maybe)

How
many
syllables
will fit on this
single line segment?
_____________________________________________________

Zero Power

To neutralize the differing effects of any non-zero numbers -- to wipe out vast differences between numbers -- we may raise each of them to the power zero.*  When 0 is applied as the exponent for any nonzero number, the result is 1.  So 7⁰ = 1 and 5378 ⁰ = 1 and (.001)⁰ = 1.   And here are "zero power" and other mathematical concepts interpreted in a poem.

     N to the Zero Power     by Laurie Clemens

     He holds one photograph
     featuring one man and one woman.

     Three birds perch on two wires
     forming an isosceles triangle over the last
     red brick street in town.

Geometry of a hawk's flight

One of the poets featured in the current Poetic Likeness Exhibit -- featuring photographs and paintings and sculptures of poets along with a few favorite lines -- at the National Portrait Gallery is Robert Penn Warren (1905-1989).   Although I hugely admire Warren's novel, All the King's Men, I am not very familiar with Warren as a poet.  The gallery posted, beside Warren's photo, a few lines about a hawk.  And I went searching online to find more.  The exhibit's quote was from Warren's "Mortal Limit" but my search led first to "Evening Hawk" -- with a first stanza bright with geometry;  I offer that stanza here.

Earth Day, 2013

     OUR earth is finite. 
     Its resources are
     finite. No clever
     transformation can

     convert the
     finite to
     infinite.

     We must
     learn to

     share.  

And, here is a link to a previous Earth Day posting.

Counting the seconds . . .

During these difficult days of fear and explosions -- in Boston and West, Texas and where next? -- I have turned to my copy of View with a Grain of Sand (Harcourt Brace, 1993) by Polish Nobelist Wislawa Szymborska (1923-2012) to find "The Terrorist, He's Watching."  Translated by Stanislaw Baranczak and Clare Cavanagh, this moving poem of numbers and tension also appears in Szymborska's 1976 collection, A Large Number. 

The Terrorist, He’s Watching     by Wislawa Szymborska

The bomb in the bar will explode at thirteen twenty.
Now it’s just thirteen sixteen.
There’s still time for some to go in,
and some to come out.  

A poem for your pocket

April is National Poetry Month.

April is National Mathematics Awareness Month.

Today, April 19, is Poem-in-Your-Pocket Day.

Here is a mathy poem that will fit in your pocket.

       14 Syllables     by JoAnne Growney

       A hen lays eggs
       one by one;
       the way you
       count life
       is life.

The poem "14 Syllables" is collected in Red Has No Reason (Plain View Press, 2010).

Truth and Beauty

     In both mathematics and poetry, truth and beauty are linked.  The true is likely to be beautiful, the beautiful is considered likely to be true.  
     Early in April I visited an interdisciplinary mathematics-and-literature class at Arcadia College to talk with them about some of the ways mathematics influences poetry.  The course I visited was was aptly titled "Truth and Beauty."  Thanks to Marion Cohen -- mathematician, poet, and course professor -- and to her students for the enjoyable time we had together.     
     Today, thinking back to that Arcadia class, I offer a translation of a poem by Romanian poet Marin Sorescu (1936-1996) which links the mathematics of counting to the literary god, Shakespeare.  Enjoy. 

Neglecting important numbers

Not Getting It     by JoAnne Growney

We

want to

be cool.

We want cool

rooms, drinks. With

cool mindsets 

we “forget” that 

we said, we’ll cut

emissions of

greenhouse gases 

Light and laws, letters and numbers

     We viewers of the world see it through a variety of lenses -- for some of us music shapes our view, for others it is color, for others history; still others see through a lens of mathematics  -- perhaps geometry, or number, or randomization or . . .
     The Greek Nobelist (1979), poet, and essayist Odysseus Elytis (1911-1996) was once nicknamed "the sun-drinking poet" for views seen in The Axion Este / Worthy It Is.   A sample from this collection, "They Came," is offered below -- this poem is not only rich in the imagery of light but also pays tribute to geometry and numbers.   

"Sustainable" in a poem

As I have mentioned previously, April is National Poetry Month and also Mathematics Awareness Month -- and the mathematical focus is "Mathematics of Sustainability."  To try to connect these April celebrations, I went to the website  www.Poets.org  and searched for a poem containing the word "sustainability."  There I found  "Patience" by Kay Ryan which contains these lines:

       Who would
       have guessed
       it possible
       that waiting
       is sustainable —
       a place with
       its own harvests.    

Please go here to Poets.org to read Ryan's entire poem.

Miroslav Holub -- interview, poems

Frequent readers of this blog probably know that Miroslav Holub is one of my favorite poets.  And it was a great delight to get a recent e-mail message with a link to a previously unpublished 1994 interview with this scientist and poet -- appearing in the April 2 posting in the Virginia Quarterly Review blog.  The interview, conducted and written by Irene Blair Honeycutt, has these opening sentences:     "Miroslav Holub (1923–1998) is one of the most internationally well-known Czech poets. He led a career as a scientist, and his poetry is known for its sharpness and wit, as well as descriptions of aging and suffering." 

April is . . .

April is National Mathematics Awareness Month.  The theme is SUSTAINABILITY and some ideas for learning and doing may be found here (including a rich selection of essays).
April is National Poetry Month.  One of the month's special events is a poetry contest (open to all) sponsored by the Arlington Library.  Poems for the contest are to be formed from stacked titles of CDs or books and then photographed for display.  For example:

What are the odds -- of a kiss?

Virginia poet Bernadette Geyer has a new (2013) poetry book, The Scabbard of Her Throat -- and I have been exploring these engaging poems of family and fantasy.  And finding among them this mathy poem, "Odds":

Odds     by Bernadette Geyer

Eighty percent of all plane crashes occur in the first
three minutes or in the last minute of the flight.

The odds of winning the lottery are 1 in 18 million
but you can't win if you don't play.  In Peru,

Your Favorite Number

In the Washington, DC area's Beltway Poetry Quarterly, edited by Kim Roberts, I recently found this lively number-poem by Pennsylvania poet Barbara DeCesare in the Summer 2012 issue that features poets in the federal government.  Enjoy.

     Your Favorite Number   by Barbara DeCesare

     I hope you have a damn good reason
     because when you let a number like that in,
     it’ll turn on you so fast.
     36: spine on spine, a grudge,
     a house divided, half-sisters,
     or the twins,

Counting syllables -- and allowing abortions

In a perfect world in which every pregnancy is wanted and every life supported with love, there would be no need for abortion.  As I work toward that world, I have penned this small syllable-square poem of concern about the vulnerability of young lives.

       36 Syllables       by JoAnne Growney

       More than abortion, fear
       unwanted lives -- saddest
       consequence for children
       conceived without a plan
       for parenting.  There is
       more than one way to die.  
 

Marianne Moore -- counting syllables

     Currently (until 28 April, 2013) at the National Portrait Gallery is an exhibit of video and audio portraits of a selection of American Poets -- browsing on the gallery's website I found here today (and related to the exhibit) a recording Marianne Moore's "Bird-Witted."
     Marianne Moore (1887-1972) was one of my first-loves in poetry.  Her line in "Poetry" about presenting for inspection "imaginary gardens with real toads in them" became my goal also.  And when I discovered that her poems frequently were constructed by counting syllables I began to consider that strategy.  These opening stanzas of "The Fish," found in its entirety at poets.org, illustrate Moore's interesting stanza-designs based on syllable-count-patterns.

              The Fish     by Marianne Moore   

1            wade
3            through black jade.
9                 Of the crow-blue mussel-shells, one keeps
6                 adjusting the ash-heaps; 
8 or 9                opening and shutting itself like

Power of a theorem

My poetry-math colleague Sarah Glaz has sent me the following pantoum -- which she says was inspired by Ken Yee's pantoum posted in this blog on 6 March 2013.  Thanks, Sarah, for this poem that not only involves permutations of lines but which also aptly connects the adventure of exploring mathematics with the adventure of self-exploration.  Bravo!

A pantoum for the power of theorems      by Sarah Glaz

          The power of the Invertible Matrix Theorem lies
          in the connections it provides among so many important
          concepts… It should be emphasized, however, that the
          Invertible Matrix Theorem applies only to square matrices.
                                           ―David C. Lay, “Linear Algebra”
 
The power of a theorem lies
In the connections it provides
Among many important concepts
Under a certain set of assumptions  

Number gives things a body . . .

Poet Stephanie Strickland majored in mathematics as an undergraduate and she uses mathematical imagery freely in her work  -- in a career that has included pioneering leadership in creating and understanding electronic literature.  The following paper-and-ink poem, "Numberbody," is part of a collection that celebrates and illuminates the French philosopher Simone Weil.

     Numberbody     by Stephanie Strickland

     The world stained to the bone raven blue
     with mathematics as an embryo 

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). 

Many Worlds, in a Pantoum

Permutations of lines and rhymes play with sound and meaning in ways that enhance both.  I particularly like the pantoum form. Hearing each line a second time -- with a new context shifting the meaning -- is an experience I particularly enjoy. This one is by Kenton Yee, a theoretical physicist working in finance, who writes both fiction and poetry.

The Many Worlds Interpretation of Classical Mechanics 

                   by Kenton K. Yee

Everything that can happen does.
She leaves work early
as a crackhead jumps off a bus.
A drunk runs a red light, barely.   

A mathematician, a poet, a woman

When I contacted University of Kansas mathematician Judith Roitman for permission to include her poem "Sixth Cosmogony" in this poetry-math blog she was quick to point out that this is not really a mathy poem. For example, the math term "differentiated" in the first stanza of the poem is not being used in its mathematical sense. However, my motivations for including the poem remain. First, and quite important: this is a poem by a mathematician who is also a woman and a poet. Second, I am interested in mathematicians' reactions to seeing math terms in non-mathematical contexts; are mathematical meanings part of what you think of any time that you hear a math term such as "differentiate" or "factor" or "commute"?

Places to go, ideas to see

     Today I want to suggest interesting internet locations to visit.
     This first link leads to an hour-long documentary on YouTube on the life of Srinivasa Ramanujan (1887-1920). Prepared in 1987 for the commemoration of Ramanujan's 100th birthday, this documentary honors a mathematical genius from whom we continue, still in the 21st century, to learn.  Ramanujan was celebrated earlier in this blog, on 18 February 2011, with a poem by Jonathan Holden.
     I want also to direct you to a Scientific American Guest Blog posting on 9 February 2013 by Bob Grumman.  Since his first SA Guest Blog posting on 28 July 2012, Grumman has been offering, about once a month, his unique views on the intersections of mathematics and poetry.  Primarily interested in visual poetry, Grumman features his own work along with that of numerous other poets -- including e e cummings, Betsy Franco, Scott Helmes, Gerald Kaufman. and Kaz Maslanka.  The 9 February 2013 posting features work by California activist Karl Kempton -- and I offer a sample below to encourage you to visit the SA blog for more of Karl's interesting work. 

One of the best -- and a woman

Women in mathematics have not been much-written-about.  This blog has made  a few corrective efforts and more are needed. Perhaps change is beginning -- for March is Women's History Month and the 2013 theme is:

 Women Inspiring Innovation Through Imagination:
Celebrating Women in Science, Technology, Engineering and Mathematics

Penn State University philosophy professor and poet Emily Grosholz uses mathematics not-infrequently in her work (for example, this posting of mine) and she has written (as I have) about discrimination suffered by mathematician Amalie "Emmy" Noether -- described by the NYTimes in a March 2012 article as "the most significant mathematician you've never heard of."  My own poem about Noether was  a poem of self-discovery in which I wrote of discrimination against her and began to see aspects of my own situation more clearly.  That poem, "My Dance Is Mathematics," appears in this blog's opening post --  on 23 March 2012.

Here, Emmy Noether is featured in Grosholz's poem, "Mind":

Counting for Freedom -- the Amistad trials

     Josiah Willard Gibbs (Jr, 1839 – 1903) was an American scientist who made important theoretical contributions to physics, chemistry, and mathematics.  His father, Josiah Willard Gibbs, Sr (1790 - 1861) was an American linguist and theologian, who served as professor of sacred literature at Yale University.  Although the son is well-known in scientific circles, it is the father who interests us here -- he is the subject of a poem by New York poet Stephanie Strickland.
     The senior Gibbs was an active abolitionist and he played an important role in the Amistad trials of 1839–40. By visiting the African passengers in jail, he was able to learn to count to ten in their language, and he then searched until he located a sailor, James Covey, who recognized the words --the language was Mende -- and was able to serve as an interpreter for the Africans during their subsequent trial for mutiny. 

Spheres and parallels

On 23 January 2013 I posted a latitude-longitude poem "Zero-Zero" by Elizabeth Bodien and today I offer another of her poems of celestial geometry, this one inspired by a painting by San Francisco artist Blazin.  Here, first, is Blazin's painting, followed by Bodien's poem -- both entitled "Midnight / Noon Along the Solar / Lunar Meridian." 

MathWoman Limericks

My desk dictionary describes a limerick as a nonsense poem; my own experience has found these five-line rhymes to be more often bawdy than nonsensical.  A mathematician and poet who has extended the limerick to verses about mathematics is Philadelphian and Arcadia professor, Marion Deutsche Cohen.  Downloads of mathy limericks are available at her website.  Scrolling down a bit on Cohen's page of downloads, leads to "Permission to Add" -- a collection of limericks based on mathematical ideas. Below I feature several limericks from Cohen's newest collection of limericks -- also available for download --  about women who are/were mathematicians. 

For example: 

One Billion Rising

Below I repeat a syllable-square first posted on 18 August 2010 and included in Red Has No Reason.  Today, Valentine's Day, stand up and support "One Billion Rising" -- end violence against women.  

          More than the rapist, fear
          the district attorney,
          smiling for the camera,
          saying that thirty-six
          sex crimes per year is a
          manageable number.

Since this is a poetry-with-math blog I will end with a mathy observation:  this is a poem of 36 syllables that includes the number 36, a perfect square.

Hilary Tham -- Counting a life

     Several of my friends speak with reverent admiration of Hilary Tham (1946  -2005),  noted Washington, DC-area poet, teacher, and painter (whom I never met, for she died a few weeks after I moved south from Pennsylvania).  Born in Malaysia, Tham came to this country as the bride of a man she had met as a Peace Corps volunteer.  In her book-length poem, Counting, Tham's poetic voice interprets her journey from Malaysia to New Jersey to Arlington, from Buddhism to Christianity to Judaism, from beginnings to explorations, from arrivals and departures to blessings.  Here, from Counting, is the opening poem. 

Limericks and a Cardioid -- for Valentine's Day

     Oh, math-lover most divine,

     for you this mathy Valentine --

          found when I looked
          in a calculus book --  
     a cardioid is the heart-sign. 

Odd numbers are common

A few weeks ago, on Thursday January 17, Chicago poet Virginia Bell was one of the very fine poets who participated (along with me) at a reading in Takoma Park.  Bell (a former TP resident) paid tribute that evening to Anne Becker, one of her teachers, who also read -- and beautifully -- that evening.  (Many thanks are owed to Sara Daines and poet Martin FitzPatrick  who organize these monthly readings.) Although Bell did not read any mathy poems at the TP reading, I found this one in her new collection:

Odd Numbers     by Virginia Bell

Problems of Translation

     June Jordan's poem "Problems of Translation: Problems of Language" (found at PoetryFoundation.org) uses numbers and measurements from an atlas as her starting point for describing the difficulty of understanding between those of us separated by distance or language.
     I am writing this on the day after the Super Bowl, particularly conscious of the fact that I do not know the language of football.   And that many others do not know the language of mathematics.  Let us try hard to understand those things that are beyond language. 
     Here is the first section (of eight) from Jordan's poem:

Problems of Translation:  Problems of Language     by June Jordan

Tomorrow is (or is not) Groundhog Day

     Last year my February 1 post anticipated Groundhog Day with a poem that mentioned the crop damage that groundhogs do by tunneling under a field and nibbling the roots of crops.  Today's post was provoked by an "Urban Jungle" item concerning groundhogs in Tuesday's Washington Post. 
     When I was growing up (on a farm near Indiana, Pennsylvania) Punxutawney Phil was merely a local celebrity.  But the TODAY show and Bill Murray's 1993 film (showing at AFI in Silver Spring tomorrow evening) changed all that.  Here, in syllable-square stanzas -- based on the legend and recent climate change developments -- are several groundhog-day comments:

       Today's myth
       passes, the
       world moves on.

Rhyme, beauty, and usefulness

     For many years poetry was transmitted orally and rhymes were vital because they are easily remembered.  In recent years, however, free verse and concrete/visual poems have become vital parts of what we think of as poetry.  Rhyme lost importance when printed poetry became readily available and memory was no longer needed to keep a poem available.  Now, in the 21st century, electronic devices make visual poetry also readily accessible (see, for example, UbuWeb) and poems may also be animated and interactive.

Poetry at JMM -- groups, etc.

     A math-poetry reading on January 11 at the Joint Mathematics Meetings in San Diego -- organized by Gizem Karaali (an editor of the Journal of Humanistic Mathematics) and Sue VanHattum (blogger at Math Mama Writes) -- has been featured in Evelyn Lamb's Scientific American blog.  

Next year's JMM will be in Baltimore, MD during January 15-18, 2014.  

There will be a poetry reading -- details will be posted here when they're available.

     Sandra DeLozier Coleman is a retired mathematics professor who has for many years written poems that relate to math.  Her poem (presented below) about the definition of a mathematical group was featured in the Scientific American blog.  When DeLozier read the poem in San Diego, her introduction to it included these words: "I’m poking a bit of fun at the futility of expecting a mathematician to explain a math concept, as familiar to him as his name, in language even a first week student will understand. Here the voice is of an Abstract Algebra professor who is attempting to explain what makes a set a group in rigorous rhyme!" 

Latitude, longitude, and inauguration

Elizabeth Bodien now lives in a rural area in eastern Pennsylvania -- settling there after other lives in California, in Japan, in West Africa.  Here is a narrative poem using the geographic numbers of latitude and longitude drawn from the years that she was a childbirth instructor in West Africa.

Zero-Zero     by Elizabeth Bodien

A Baker's Dozen -- in Takoma Park

This evening I had the privilege of being part of a poetry reading at the Takoma Park Community Center  -- one of four featured poets, I was the "mathematical" one and read several poems that involved counting -- counting in their subject matter or in their structural design.  Here is a villanelle that I composed for the occasion.

A Baker’s Dozen     by JoAnne Growney

Counting likes to start with number one.
A luscious mate to pair with one makes two –-
and three can be a triangle of fun.

Counting grains of sand

Recently I have found online translations of several poems by Norwegian poet Rolf Jacobsen (1907-1994).  His poem "Sand" reminded me of a recent conversation with a friend about the word "infinite."  This friend said that he would use "all the grains of sand on the earth" as an example of an infinite collection.  Though I disagreed, I also have found it is not at all uncommon for people to use "infinite" -- as my friend did -- as if it means "larger than I could possibly count."  In Jacobsen's poem, the number of grains of sand is finite but also unbounded.   Do you agree?  

Because the mind circles an idea

Besides eight books of poetry and a memoir, California poet Lucille Lang Day has co-authored a textbook, How to Encourage Girls in Math and Science -- a book of activities for teachers and parents to encourage students from kindergarten through eighth grade.  Her close connection to mathematics and science is evident in the following poem.

Because     by Lucille Lang Day

My heart will beat two billion times
because Krishna plays his flute in the forest
because the planets trace elliptical orbits
because Krishna's skin is blue
because a moon will fly in a straight line forever
unless a planet snares it
the way a woman attracts a man with her gaze 

Tomorrow in San Diego -- Math Poetry Event

If you are in San Diego tomorrow, I hope you will attend:

A Reading of Poetry with Mathematics

5 – 7 PM    Friday, January 11, 2013

Room 3, Upper Level, San Diego Convention Center  San Diego, CA
sponsored by the Journal of Humanistic Mathematics

at the Joint Mathematics Meetings

Poetry reading organizers are Mark Huber, Gizem Karaali, and Sue VanHattum

An article by Charlotte Henderson about last year's reading in Boston
may be found here, 

with selected poems from that reading at this link.

If I were able to attend, I would beg the other poets there to write and publish poems about women mathematicians.  And I would read this example (a revision of a poem first posted in June 2012).

With Reason:  A Portrait      by JoAnne Growney

          Sophia Kovalevsky *    (1850-1891)

New poems from old by substitution

     Just as we get new numbers by substitution of new inputs into old formulas -- such as x² or sinx -- we may get new poems from old ones into which we substitute new words. For example, take a poem and, for each of the nouns in the poem, substitute for it the noun that occurs 7 positions later in a given dictionary. This N+7 rule is one of the inventions of the French group of writers and mathematicians known as the Oulipo.  (For more information, see postings from 25 March 2010, 23 August 2010, 15 November 2010 and 3 January 2011.) 

Cities of Mathematics

Judith Johnson's multi-part poem, "Cities of Mathematics and Desire" is geometric in its descriptive power; scenes are constructed and mapped with the careful attention of a mathematical proof.  At a math-poetry reading a year ago today (January 6, 2012) at the Joint Mathematics Meetings in Boston, Johnson read part 4 of this poem -- and it is included here in the July 2012 issue of the Journal of Humanistic Mathematics.   Read on for part 2 of this 9-part poem:

2.  Of the Power of Chess to Feed the Starved     by Judith Johnson

Geometry of a Gun

Despite the recent news media chatter about a "fiscal cliff," the event that we can't (and mustn't) stop thinking about is the December 14 massacre at the Sandy Hook Elementary School in Newtown, Connecticut. This draws me to a poem by Joan Mazza (whose poem "Digits" was featured earlier this week on New Year's Day); this new poem deals with the geometry of eggs and of bullets. Please think of gun control.

     Geometry Lesson       by Joan Mazza 

Happy New Year 2013

One of the questions that may be asked about our new year is whether 2013 is composite or prime -- that is, whether it does or does not have factors other than 1 and the number itself.  A shortcut useful here is this test for divisibility by 3 (offered as a 5x5 square):

        An integer is
        divisible by
        3 if and only
        if the sum of its 
        digits is also.

And so, since 2 + 0 + 1 + 3 = 6 (which is divisible by 3), then 2013 is divisible by 3.  Indeed, the prime factorization is 2013 = 3 x 11 x 61.

My email on this New Year's morning contained a gift -- "Digits" -- a poem that compares numbers with nature, from Virginia poet and dream specialist Joan Mazza;  she has given me permission to post it here. 

     Digits     by Joan Mazza 

2012 posts -- titles and links

Scroll down to find titles and dates of posts in 2012 -- and, at the bottom, links to posts all the way back through 2011 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  A chance encounter
Dec 28  Explorers
Dec 25  Support STREET SENSE
Dec 24  Star, shine bright!
Dec 21  Skating (with math) on Christmas 

A chance encounter

     I invite you to celebrate the coming of the new year 2013 with a poem I like a lot.
     Alberta poet Alice Major produces poems that feel good in the mouth when you read them aloud.   As in "Locate the site," offered below.   From the repeated t's in her title and the c's in her epigraph to her closing lines with "accept / the guidance of whatever calculating god / has taken you in care," I hugely enjoy the vocal experience of reading Major's words; and that pleasure enhances their meaning.  That her terms often are mathy adds still more enjoyment.

Locate the site     by Alice Major

      To find a city, make a chance encounter

The plane sails in above the setter-coloured fields
swathed in concentric lines of harvest,
circle on square.  I find myself returning
to this place that wasn't home.

Explorers

Those who know mathematics but do not immerse in it daily often use its terms in contexts that surprise and delight.  I smiled with appreciation when I found, in Issue 25 (December 2011-2012) of 6x6, "The Life of Explorers" by Fani Papageorgiou ;  Ugly Duckling Presse has given me permission to include parts II, IV, and VI (of eleven parts) here.

from    The Life of Explorers     by Fani Papageorgiou

     II.     On the Method of Trial and Error

If a dog with a long stick in its jaws wants to get through a door,
he will twist and turn his head until he achieves his goal.

Support STREET SENSE

Street Sense is "The DC Metro Area Street Newspaper" and it is available from vendors in the Washington, DC area -- vendors who are struggling not to be homeless, vendors who are earning 50 cents for each $1 copy that they sell, vendors who are writing POETRY.

In the September 26 - October 10, 2012 issue of Street Sense, I found this mathy poem by Street Sense vendor Veda Simpson, "Think You Know Everything?"  Please ENJOY the poem and, if you are able, support this worthy publication.

Think You Know Everything       by Veda Simpson, Street Sense Vendor  

Star, shine bright!

*
on
top
give
light
freely
forever
abundant
brilliant
everywhere

Be our

light!

For more visual poetry of Christmas, enjoy a visit to Bob Grumman's Guest Blog posting for Scientific American.  Thanks, Bob, and Happy Holiday wishes to all.

Skating (with math) on Christmas

     Found at poets.org, a lovely poem of ice skating and mathematics and Christmas by Cynthia Zarin; the title is "Skating in Harlem, Christmas Day."   Perhaps some day I will have completed all the paper work and the waiting required by Knopf and Random House to gain permission to offer herein Zarin's poem (from The Watercourse (2002) ) -- but, for now, please enjoy it by following the link I have given above.

The magic of "i"

 An exciting math event occurred last week -- the opening of MoMath, 

a Manhattan museum that makes math fun.

 

Still thinking about complex and imaginary numbers (see Sue VanHattum's poem in the December 16 posting), I want to offer a couple of stanzas by Paul Hartal -- selected from "Voyage around the Square Root of Minus 1"  -- stanzas that are part of a lengthy consideration of connections between the arts and the sciences.  I do not always agree with Hartal's viewpoints -- but they are interesting to consider.

from  Voyage around the Square Root of Minus One     by Paul Hartal 

. . .  Mathematical equations are embedded
       with mysterious forces
       and their uncanny power transcends
       the cognitive faculties of the human mind.

Imagine new numbers

     As a child I wrote poems but abandoned the craft until many years later when I was a math professor; at that later time some of my poems related to ideas pertinent to my classroom.  For Number Theory classes "A Mathematician's Nightmare" gave a story to the unsolved Collatz conjecture; in Abstract Algebra "My Dance Is Mathematics" gave the mathematical history a human component.  
     My editor-colleague (Strange Attractors), Sarah Glaz, also has used poems for teaching --  for example, "The enigmatic number e."  And Marion Cohen brings many poems of her own and others into her college seminar course, "Truth & Beauty: Mathematics in Literature."  Add a west-coaster to these east-coast poet-teachers -- this time a California-based contributor: teacher, poet, and blogger (Math Mama Writes) Sue VanHattum.  VanHattum (or "Math Mama") is a community college math teacher interested in all levels of math learning.  Some of her own poems and selections from other mathy poets are available at the Wikispace, MathPoetry, that she started and maintains. Here is the poet's recent revision of a poem from that site, a poem about the invention (or discovery?) of imaginary numbers.

Imaginary Numbers Do the Trick      by Sue VanHattum