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    

The important 1 (multiplicative identity)

On this day 12/12/12, I have heard much media discussion concerning coincidences of number.  My own thoughts continue to examine the multiple meanings of "identity."  Here is a lovely tanka by Izumi Shikibu (b 976?) that focuses on the importance of one:

       This heart,
       longing for you,
       breaks
       to a thousand pieces--
       I wouldn't lose one.

From The Ink Dark Moon:  Love Poems by Ono no Komachi and Izumi Shikibu, Women of the Ancient Court of Japan (Vintage Books, 1990), translated by Jane Hirshfield with Mariko Aratani. 

Loss of Identity

     Some of the richness of a poem comes from the multiple meanings available for the poet's words.  We read "line" and think of the geometric straight thing and of the type of work a person does and of a particular list of products and  . . .   .    For mathematicians, a given term may have a precise mathematical specification that trumps all the others.  (See, for example, the discussion of "random" in the 5 December 2012 posting.)
     A math term that especially interests me poetically is "identity."  One has a unique "identity" and experiences "identity theft" or an "identity crisis"  --  each time I hear the word my cross-referencing brain links to the mathematical notion of identity.  In the integers, the element zero, 0, is an identity for addition since 0 added to any integer produces no change.  Likewise, 1 is an identity for multiplication since 1 multiplied by any integer produces no change.

That's so random! (NPR, OEDILF, etc.)

     One of the challenges I face in friendly conversations is not to overreact to a "misuse" of the word random.  When I hear someone use that word to describe events that are peculiar or haphazard my heart-rate rises in protest.  It is as if I am in math class where every term has one, quantifiable definition -- my use of random describes a situation when a variety of things may happen and all of them are equally likely.  Like when a fair coin is tossed, or a die.  Or when a lottery ticket is selected.
     Recently my attitude was aired nationally. Sort of.  On Friday, November 30, NPR's Evening Edition featured a discussion of random.  Written by commentator Neda Ulaby, "That's So Random:  The Evolution of an Odd Word" mentions the 1995 film "Clueless," a comedian (Spencer Thompson), the Hacker's Dictionary  -- and also includes comments from the Oxford English Dictionary's editor, Jesse Sheidlower. I am rethinking my stubborn position.

Rearranging words

After posting, on November 15, three stanzas by Darby Larson -- three of the more than six quadrillion stanzas that result from arrangements (permutations) of eighteen selected words --  I decided to try my own arranging.  Here are two results.

       noise is angry morning                          Arrangement 1
       surely hung suppose beads
       in windy eyes there's your what
       wake-up and the sway    

Bold women count

Last evening at a poetry reading at Kensington Row Bookshop, I read my poem about Sophia Kovalevsky (posted on June 24); hearing it out loud before an attentive audience helped me to sense a couple of edits I need to make.  Conversations after the reading drew my focus once again to bold women.  Mathematics has some of these women --  and wants more.  Here, in a poem with some numbers, Margaret Atwood celebrates a woman who is not only bold but who burns.  Many of Atwood's words apply to difficulties (including being misunderstood by men) faced by women in mathematics  -- women who have "talent / to peddle a thing so nebulous / and without material form." 

     Helen of Troy Does Countertop Dancing        by Margaret Atwood   

     The world is full of women
     who'd tell me I should be ashamed of myself
     if they had the chance. Quit dancing.
     Get some self-respect
     and a day job.

Lincoln and Euclid -- common notions

     This afternoon I enjoyed the recently-released film, Lincoln -- appreciating Sally Fields as Mary Todd, Tommy Lee Jones as Thaddeus Stevens and (especially) Daniel Day-Lewis as Abraham Lincoln. An absorbing drama -- inspiring and also informative.  With a slight mention of mathematics:  in a film conversation with two-young telegraph operators, Lincoln reflected on his study of Euclid and shared with the young men the first of Euclid's common notions:

     Things that are equal to the same thing are equal to each other. 

Women Scientists in America

That

one,

Mary

Gray,  is bold,

mathematical,

and female.  One of the founders

(one-nine-seven-one) of the Association for

Women in Mathematics and an attorney, a leader of our struggle to get

well-meaning men to confront the attitudes they inherited, to change -- so that "think

mathematically" does not mean the same as "think

like a man."  Mathematics has

myriad voices.

Awaken!

Hear all

of
us.                                   a Fibonacci poem by JoAnne Growney      

Thank you, Mary Gray

For today, Thanksgiving, I have wanted to prepare a special poetic tribute and thank-you to mathematician Mary Gray.  I have had yet not found time for complete preparation of that celebration.  But here are the opening words:  THANK YOU -- to a founder of  AWM (Association for Women in Mathematics) and a woman who has done much, much, much to further the opportunities and recognition for women in mathematics --  to Mary Gray.

A permutation puzzle -- the sestina

In a sestina, line-ending words are repeated in six six-line stanzas in a designated permutation of the words; the thirty-nine-line poem ends with a three-line “envoi” that includes all six of the line-ending words.  (After the first, a stanza's end-words take those of the preceding stanza and use them in this order:  the 6th, then the 1st, then the 5th, 2nd, 4th and, finally, the 3rd. In the envoi, two of the six words are used in each line.)  Here is a sestina by Lloyd Schwartz that uses only six words -- but its punctuation and italics cleverly shape variations of meaning. 

Rearranging words . . .

     If we count all possible arrangements of 18 words, the total number of these is 18! (18-factorial) and equal to 6,402,373,705,728,000 -- a collection of word-permutations that would be a burden, rather than a joy, to contemplate.  (This previous posting offers some small lists of permutations for review.)
     Poet Darby Larson boldly experiments in his verse and in a 2009 posting (found months ago at  darbylarson.blogspot.com but no longer there) I found these three stanzas -- three of the more-than-six-quadrillion possible arrangements of a particular list of eighteen words.  

Finding fault with a sphere . . .

     On November 9 I had the pleasure (hosted by Irina Mitrea and Maria Lorenz) of talking ("Thirteen Ways that Math and Poetry Connect") with the Math Club at Temple University and, on November 5, I visited Marion Cohen's "Mathematics in Literature" class at Arcadia University.  THANKS for these good times.

          This
          Fib
          poem
          says THANK-YOU
          to all those students
          from Arcadia and Temple 
          who participated in "math-poetry" with me --
          who held forth with sonnets, pantoums,
          squares, snowballs, and Fibs --
          poetry
          that rests
          on
          math.

      My Temple host, Irina Mitrea, and I share something else besides being women who love mathematics -- the Romanian poet, Nichita Stanescu (1933-83), is a favorite for both of us.  My October 23 posting ("On the Life of Ptolemy") offered one of Sean Cotter's recently published translations of poems by Stanescu and below I include more Stanescu-via-Cotter -- namely, two of the ten sections of "An Argument with Euclid."  These stanzas illustrate Stanescu at his best -- irreverently using mathematical terminology and expressing articulate anger at seen and unseen powers of oppression.

Symmetry in poetry

In Euclidean Geometry, objects retain their size and shape during rigid motions (also called symmetries); one of these is translation -- movement of an object from one place to another along a straight line path.  Here are a few lines by Alberta poet Alice Major that explore the paths of rhyme as a sound moves to and fro within a poem :

     Rhyme's tiles slide
               from line
     to line, a not-so-rigid motion --
     a knitted, shifting symmetry
               that matches 'tree' 

Word Play -- "Of Time and the Line"

Charles Bernstein, poet and teacher,  experiments with poetry  and prefers "opaque" and "impermeable" writing -- to awaken readers "from the hypnosis of absorption."  In the poem below he does, as mathematicians also do, multiplies ideas by playing with them -- here using "line."

     Of Time and the Line     by Charles Bernstein

     George Burns likes to insist that he always
     takes the straight lines; the cigar in his mouth
     is a way of leaving space between the
     lines for a laugh.  He weaves lines together
     by means of a picaresque narrative;

Storm Sandy -- and climate change

     That
     storm
     Sandy
     has caused more
     people to believe
     climate change is real and awful
     than the piles of statistics amassed by scientists --
     bad to worse since 1950  --
     ice caps melting, drought,
     sea levels
     rising.
     Oh,
     My!

This poem of mine, with its syllables counted by successive Fibonacci numbers, is a slight revision of one posted on 31 August 2012.  That earlier posting also links to climate change data and to other  FIBS.

Greatest common factor

Sometimes a mathematical phrase offers a splendid concentration of meaning in an otherwise non-mathematical poem.  This is the case in the poem below by Taylor Mali, teacher and slam poet. 

Undivided Attention     by Taylor Mali

A grand piano wrapped in quilted pads by movers,
tied up with canvas straps—like classical music’s
birthday gift to the criminally insane—
is gently nudged without its legs
out an eighth‐floor window on 62nd street. 

Geometry of Trees

     Donna Masini, one of my poetry teachers at Hunter College, offered this rule of thumb for use of a particular word in a poem:  the word should serve the poem in (at least) two ways -- in meaning and sound, or sound and motion, or motion and image, or  . ..  .
     Richard Wilbur (1921 - ) is a former US Poet Laureate (1987-88), a prolific translator, and one of my favorite poets -- and perhaps this is because he seems to maximize his word-choices with multiple uses.  When I read Wilbur, I see and hear and feel -- and, after multiple readings, these sensory impressions coalesce into understanding.  Here is one of his sonnets, a poem of the geometry of absence:

"On the Life of Ptolemy"

Poetry at its best uses words in new ways.  Mathematics sometimes does that also.  But for a poet to use mathematical terms in new ways can be risky.  Nichita Stanescu (Romania, 1933 - 1983) was a poet unafraid to take that risk.  Here is Sean Cotter's translation of Stanescu's "On the Life of Ptolemy" from the new and fine Stanescu collection, Wheel with a Single Spoke.

     On the Life of Ptolemy     by Nichita Stanescu

     Ptolemy believed in the straight line,
     It exists.
     Count its points and, if you can,
     tell me the number.

Seeking math-poets -- JMM, SanDiego 1-11-13

Call for Readers:
     The Journal of Humanistic Mathematics will host a reading of poetry-with-mathematics at the annual Joint Mathematics Meetings (JMM) on Friday, January 11, 5 - 7 PM in Room 3, Upper Level, San Diego Convention Center.  If you wish to attend the reading and participate, please send,  by December 1, 2012 (via e-mail, to Gizem Karaali (gizem.karaali@pomona.edu)) up to 3 poems that involve mathematics (in content or structure, or both) -- no more than 3 pages -- and a 25 word bio.

Teaching math (?maths) is complex

     In the midst of a teaching career in Bloomsburg University I spent a year in an administrative position -- the school needed time to search for a proper provost and I was deemed good enough for the interim.  My good fortune during that year was to work closely with Kalyan, a highly competent man, born in India, who went on (as I did not) to become a college president.  Kalyan and I liked each other and early in the year we shared our views that we were both from "work twice as hard" categories.  That is, a woman or a dark-skinned man needs to work twice as hard as a white man to achieve recognition as the performance-equal of that white man. 

Geometry . . . a way of seeing

Today's poem is not only a fine work of art, it is also -- for me-- a doorway to memory.   I first heard it in the poet's voice when he visited Bloomsburg University in the late 1980s,  and I was alerted to the reading and to James Galvin's work by my most dear friend, BU Professor of English Ervene Gulley (1943-2008).   Ervene had been a mathematics major as an undergraduate but moved on from abstract algebra to Shakespeare.  Her compassion, her broad-seeing view, and her fierce logic served her well in the study and teaching of literature.  And in friendship.  I miss her daily.  She, like Galvin, questioned life and probed its geometry.

Puzzle poems from Benjamin Banneker

Benjamin Banneker (1731 - 1806) was a free African American mathematician and almanac author -- also an astronomer, surveyor, and farmer. (I learned of his work through my friend Greg Coxson, an engineer, teacher, and fan of mathematical poetry -- and Coxson learned of Banneker through a school project of his son.)  Beyond building a wooden clock and helping to lay out the borders of Washington, DC, Banneker predicted the 1789 solar eclipse and included rhyming math puzzles in his almanac.  Coxson introduced me to a fine website, established by by John F. Mahoney of Washington, DC's Benjamin Banneker Academic High School, entitled The Mathematical Puzzles of Benjamin Banneker.
     Banneker's Almanack had an eclectic mix of astronomy/astrology, medical advice, weather prediction, and other things.  Here's a math-problem-poem from that Almanack -- found, along with others, at Mahoney's site: 

The best of the many

     Here I link to an article by David Alpaugh, "The New Math of Poetry," -- not brand-new, for it bears a date of February, 2010 , but I found it only recently and have been thinking about its description of the seemingly unrestrained quantity of poetry expected to be published on the Internet. What happens to poetry if each of us calls what she writes "poems" and publishes them online, making them as available as the lines penned by a Poet Laureate? 
     Most of what I feel about proliferation of poetry is excitement.  I love the democracy that lets all of us participate in poetry just as we all may run races, perhaps even taking a trophy in our neighborhood's turkey-day mile;  we do not pretend excellence but, simply, it is fun and good for us.  All of us who choose it can enjoy writing poems -- and experimentation with new forms -- and, from time to time, some surprising and splendid work will emerge. 

Surprise me!

Bob Grumman, a mathy poet whose work has appeared in this blog (21 June 2010) and a blogger, has recently been invited to write a Guest Blog for Scientific American.  Here is a wonderful sentence about poetry that I have taken from his posting on 22 September 2012 (the third of his guest postings).

           And I claim that nothing is more important for a poet 
               than finding new ways to surprise people with the familiar.

Visit Grumman's Guest Blog to find his illustrations of poetic surprise; after a pair of visual poems, ten x ten and Ellipsonnet, he discusses a poem by Louis Zukovsky in which the poet describes his poetics using the integral sign from calculus:

∫ 

Zukovsky's definite integral (which Grumman tells us is carefully copyright-protected) has the lower limit "speech" and upper limit "music." 

From the Scottish Cafe

     A poetry collection by Susan Case (see also 5 July 2011 and 5 August 2011 postings)  -- The Scottish Cafe (Slapering Hole Press, 2002) -- celebrates the lives and minds of a group of mathematicians in Poland during World War II.  The observations and insights of Case's poems add new dimension to the important story of The Scottish Book  -- a book in which the mathematicians recorded problems and their solutions.  

The view from here -- or there

From Nashville math teacher and blogger, Tad Wert, I learned of this poem, "Geometry, Lost Cove" by his Harpeth Hall School colleague, Georganne Harmon; in it, Harmon examines the contrasts in appearances when objects are seen from different distances. (And the mathematician goes on to say, Ah, yes -- in other words, some mappings of a space do not preserve distance.)

    Geometry, Lost Cove     by Georganne Harmon

    The ridge across this cove
    is straight as a ruled line,
    its bend as pure as an angle
    on a student’s quadrilled page.
    Beyond it another ridge lies
    straight-backed, as well,
    drawn off by its touch with sky.

Is Algebra Necessary?

     Anticipating my interest, several friends sent me links to a late-July opinion piece in The New York Times entitled "Is Algebra Necessary?" (written by an emeritus political science professor, Andrew Hacker).   I more-or-less agree with Hacker that algebra is not necessary in most daily lives or places of employment.  In fact, years ago I developed a non-algebra text, Mathematics in Daily Life,  for a course designed to satisfy a math-literacy requirement at Bloomsburg University.  On the other hand, my own fluency in the language of algebra opened doors to calculus and to physics and so many other rooms of knowledge that I have loved.
     Expressing algebraic issues in verse, we have this thoughtful poem by Jeannine Hall Gailey, Poet Laureate of Redmond, Washington (home of Microsoft). 

A poem for a math-friend

     On July 14, 2012, my good friend, Toni Carroll, passed on. I first knew Toni in the 1980s as a colleague in the department of mathematical sciences at Bloomsburg University.  Her warmth and inclusiveness drew many people to her and I was one of these.  In my view she also was fearless.  While I continued to contemplate action, she moved quickly toward righting an injustice.  I have learned from her to be a bit more brave.  

Variations of a line

In mathematics a line plays many roles -- as in this fine poem (which is a sonnet, more or less).

     Lines     by Martha Collins

     Draw a line. Write a line. There.
     Stay in line, hold the line, a glance
     between the lines is fine but don't
     turn corners, cross, cut in, go over
     or out, between two points of no
     return's a line of flight, between
     two points of view's a line of vision.

It Crossed My Mind

     In Elinor Gordon Blair --  my English teacher during my junior and senior years at Indiana Joint High School in Indiana, Pennsylvania -- I found a woman who became a life-long inspiration to me.  An insatiable reader and always curious, Elinor Blair seemed to learn from every thing that came along. Such an excellent strategy  -- and I learned it from her.  
     Mrs Blair -- is my habit to continue to call her by this formal name -- still lives in Indiana and she is 99 years old.  Three years ago she published a poetry collection, It Crossed My Mind.  These following stanzas from Blair's collection use imagery from geometry to describe the destructive way in which "skeletons of steel" have remade our American landscapes. 
     Thank you, Mrs. Blair, for these lines and for the ways you have enriched my life.

An instrument in the shape of a woman

     Celebrating math-women with poetry is a project to which I devoted several postings earlier this summer -- see, for example, these June and July entries.  Moreover, I am looking for more such poems to post.  Please contact me (e-mail address is at the bottom of this blog-site) with poems about math-women that you have written or found.
      Mathematician-astronomer Caroline Herschel (1750-1848) appeared in a poem by Siv Cedering on 21 July, 2012 and here she is again, this time celebrated by Adrienne Rich (1929-2012).

Fibs in NZ -- and climate change

     A few days ago, on August 21, it was Poet's Day in New Zealand and the blog sciencelens.com featured a math-poetry theme; that posting mentions the anthology, Strange Attractors:  Poems of Love and Mathematics (for which Sarah Glaz and I are co-editors) and offers several Fibs, poems whose syllable-counts follow the first six non-zero Fibonacci numbers (1, 1, 2, 3, 5, 8, . . .., with each succeeding number the sum of the two preceding). 

What is mathematics to animals?

In a playfully serious volume of verses by Eugene Ostashevsky we meet his alter ego, the "new philosopher" DJ Spinoza.  With the intelligence and bravery of the other philosopher-Spinoza (Baruch / Benedict, 1632 - 1677), Ostachevsky's Spinoza pokes a bit of fun at things that might be taken too seriously -- such as logic or mathematics or . . .