Complement and Compliment -- and Geometry

     Poetry's special effects often come from the multiple meanings of terms used -- and today I offer  a snip of a mathy item that I enjoyed and that  plays with meaning -- an item I found a few days ago (September 19) on X (Twitter), 

A posting by California math teacher Howie Hua

And, looking back for geometry in earlier postings, here is a link to a prose poem posted in February, 2017 -- "The Geometry of Poetry" by Janet R. Kirchenheimer.   Still another geometry reading opportunity is the baseball poem "Our Ballpark" by Le Hinton (sampled in this 2015 posting).

Creating New Poems by Sampling Old Ones

      In its collection of Math Voices the American Mathematical Society (AMS) has a very interesting Feature Column -- a column written for students, teachers, and the general public -- that offers essays about math that it describes as "useful, fun, inspiring, or startling."  When browsing the column recently I found and enjoyed a column by Sara Stoudt of Bucknell University entitled "Sampled Poems Contain Multitudes" -- an article that gives readers an opportunity to experience Walt Whitman's poem, "Song of Myself" (a book-length poem with a total of 52 poem-sections, found here at the Poetry Foundation website) via a poem with a sample line for each section,  Here are the opening lines:

From Walt Whitman's "Song of Myself":

HELLO, Numbers

     As a child, I learned to love numbers via counting rhymes (of which many are found at this Lit2Go website);  -- often I reinforced my number-memory by reciting  rhyming verses such as "One, two, buckle my shoe" and "Baa, Baa, Black Sheep" and enjoying the trick in "Going to St. Ives."  University of Arkansas mathematician Edmund Harriss (whom I met a bunch of years ago at a conference in Banff) and co-authors Houston Hughes (poet) and Brian Rea (visual artist) have a book -- HELLO NUMBERS! (published in 2020 by The Experiment).  This book, like those old rhymes, gives young readers the opportunity for fun with numbers as they learn.

Here's a sample:  

    Learning meets wonder
           when you invite numbers to come play in your imagination!

       First think of One peeking out from the night
       Like a point, or a dot, or a shimmering light.

Seeing the World through a dual prism . . .

     Based in Melbourne, Australia, Tom Petsinis is a mathematics adviser at Deakin University and is author of nine poetry collections as well as theatrical works and books of fiction.  He also is involved in the worldwide BRIDGES organization --which meets annually to investigate and celebrate connections between mathematics and the arts.  This year's BRIDGES conference will be held July 27-31 in Halifax, Nova Scotia and next year's conference is planned for August 1-5, 2024 at Virginia Commonwealth University in Richmond, Virginia.

     Below is "Zero" -- a mathy poem by Petsinis which is also offered as a sample at this BRIDGES link (a link that advertises and celebrates those poets participating in the 2022 conference).

Celebrate Math-Women -- Celebrate AWM

1   This
2   year's the
3   fiftieth
4   birthday of the
5   Association
6   for Women in Mathe-
7   matics.  Join celebrations --
8   hear lectures, game with playing cards,
9   interview, write essays that feature
10  math women you admire.  Speak up -- cheer girls
11  who do well in math class; look back, remember,
12  laud stars of the past  --  support A W M.

 The Association for Women in Mathematics (AWM) is a national organization devoted to encouraging women and girls to study and to have active careers in the mathematical sciences, and to promote equal opportunity and the equal treatment of women and girls in the mathematical sciences.  Founding in 1971 and celebrating math-women with outreach, networks and partnerships, playing cards, essay contest (for students in middle school through college) . . . and so much more.

Explore AWM's Website and their lively WOMEN DO MATH site.

Free Minds add, count . . . and . . .

     Free Minds is an organization that uses books, creative writing, and peer support to awaken incarcerated and formerly incarcerated youths and adults to their own potential.  Learn more here about this vital organization -- and reflect on this poem by a Free Minds member:   

     Today’s Mathematics    by JO

      30 minutes of chaos
      Plus 1 Public Pretender
      Plus 1 judge
      Equals 39 years
      16 years, with about 5 of those drug and alcohol-induced
      Produces a very impressionable mind
      Countless days filled with violence
      Equals a whole lot of trauma
      Judaism, Christianity, Islam, Moorish Science, History
      Plus studying mysteries
      Equals a solid understanding
      Empathy plus suffering
      Equals a road to redemption

I found the poem at this link; the Free Minds Book Club and Writing Workshop website posting also offers the opportunity for readers to make comments.

Wonderful math-poetry . . . in lots of online places

      Carol Dorf, poetry editor of the online journal, TalkingWriting, has been sharing (during the pandemic) daily poems via e-mail -- and occasionally they are a bit mathematical.  For example, "Morning Song" by Sawako Nakayasu (found here at Poets.org) has this opening line . . . .

     Every time, these days, it seems, an equation gets forced.  . . .

At Poets.org, as at many poetry websites, there is an opportunity to search -- using, for example, "geometry" or "equation" -- and to find lots of poems with mathematical connections.

     Carol Dorf is a retired math teacher and a wonderful poet;  this link leads to poems from her published in this blog and this link leads to "Wild Equations,"   a collection of some the mathy poems found in TalkingWriting.

     An ongoing source of original and delightful math-poetry is the Journal of Humanistic Mathematics.  Visit often and explore! 

AND, one more item . . .  Recently I revisited Issue 17 (Released November 1, 1917)  of The Cordite Poetry Review which has the theme "Mathematics."  That issue is online here.  Many of the poems seem at first quite distant from the theme -- but browsing the collection of 60 poems (selected by Fiona Hile) has proved thought-provoking.  Here is a sample, "Venn Diagram" by Caroline Williamson.

Mother-daughter geometry -- in poetry . . .

     Last week (July 9) was the birthday of my mother -- and, although her body lies in a grave, her spirit continues to dance (and to both inform and confuse me).  Recently published in the Journal of Humanistic Mathematics (January 2019 issue) this poem by Jenny Patton -- a creative writing teacher at Ohio State University and a wellness coach -- has been provoking my memories. 

       Geometry of Night     by Jenny Patton

       In three-dimensional Euclidean space,
       lines in a plane that do not meet are parallel.

       My beautiful aunt loved to sleep, blogs
       my insomniac cousin about my mother
       who went to her parallel life every night.

       Those studying Playfair’s axiom note the
       constant distance between parallel lines. 

Counting insects, counting on them . . .

     Recently I had the opportunity to vacation in southern Portugal with my older daughter and her family and there -- with clear, bright-blue skies and cooled-down night-time temperatures -- not only did we vacationers thrive but so do many insects.  Their busy behavior reminded me of their presence on the childhood farm in Pennsylvania on which I grew up and their important role as partners in the agricultural process -- pollinating and irrigating and . . . 
    And so -- jet lagged yet continuing in my appreciation of the population-mathematics of insects -- I offer below a poem of bees by Emily Dickinson (1830-1886), also found here.  Another bee-poem by Dickinson posted back in August 2013 is available at this link.

The most important population   (1746)   by Emily Dickinson

       The most important population
       Unnoticed dwell,
       They have a heaven each instant
       Not any hell.

       Their names, unless you know them,
       'Twere useless tell.
       Of bumble-bees and other nations
       The grass is full.

An interesting Smithsonian article, "Bees May Understand Zero . . ." may be found here and the Washington POST has featured bees at this  recent link and this earlier one.

Skinny poetry -- 11 lines, most with just 1 word . . .

     Last weekend at a DC poetry gathering I had the opportunity to hear poet Truth Thomas speak about the "Skinny" -- a poetry form that he created at Howard University in 2005.  More about Thomas and The Skinny Poetry Journal may be found here.

            A Skinny is a short poem form that consists of eleven lines. 
            The first and eleventh lines can be any length (although shorter lines are favored). 
            The eleventh and last line must be repeated using the same words 
                     from the first and opening line (however, they can be rearranged). 
            The second, sixth, and tenth lines must be identical. 
            All the lines in this form, except for the first and last lines, must contain ONLY ONE word. 

Since learning of the Skinny, I've wanted to write one.  Here's a try:

               Math women count
               many
               pioneers
               despite
               barriers  
               many
               heroic
               few
               praised 
               many
               math women count

The Skinny Poetry Journal invites submissions.  More information here.

50 years after "The Population Bomb"

          In 1968 while I was in graduate school at the University of Oklahoma, we all were talking about Paul Erlich's new book, The Population Bomb, and its dire predictions.  My worry over population has evolved into worry about climate change -- a deep concern that selfish actions today are leaving an unhealthy world for future generations.  I want my grandchildren to have the opportunity for healthy lives!!!   On the morning of January 3,  the program 1A on  radio station WAMU did a thought-provoking feature, "More People, More Problems"  on the 50th anniversary of the publication of Erlich's book.  And, at a website entitled "Better (not bigger) Vermont"  I found several poems and songs about population, including the "Population Pressure Song" by Calvin Stewart & Joice Marie -- I offer several stanzas below:

from  Population Pressure Song   by Calvin Stewart & Joice Marie (©2008)
     . . .
        Pop pop, goes the population
        Got to stop, the population
        While we still have our woods
        In our quiet neighborhoods   

Problems with no solutions

     The syllable-square stanza is a poetic form I often turn to when scientific terminology gives me little hope of matching traditional patterns of rhyme or rhythm -- counting syllables gives discipline and invention to my word choices, and these are for me essential in writing poetry.
     As a grandparent of school-age children  I am deeply worried about the world they are inheriting.  I want it to offer a healthy environment and safety with vast opportunities for women as well as men.  And my own writing often supports these views.   I encourage readers to use the blog SEARCH to find an assortment of poems on a theme -- such as "girl" or "environment" or  . . . For example, here is a link to postings that include the word opportunity.  Scrolling through that list leads to this posting of Eavan Boland's poem, "Code," which honors Grace Murray Hopper.

     And here is my small, worried square:     

          Square worries

          Unless miracles give
          our earth new resources
          that prove unlimited,
          unchecked population
          growth and climate change are
          problems with no solutions.

Love Triangle . . ..

     One day, looking online for Edwin Abbott's 19th century classic, Flatland, I found not only Abbott's tale but some poetry.  At the website of Jerome White, a New Orleans math teacher, I found his mathy poem "Love Triangle," about which White says:    "Love Triangle" was inspired by my disappointment that Flatland: A Romance In Many Dimensions was deceptively devoid of "romance" in the modern sense of the word. 
     With White's permission, here is the poem -- offered with a preparatory remark:  the poet is sometimes explicit as he describes the geometry of sexual attraction.

Love Triangle      by  Jerome A. White

A trio of three-sided polygons sprawled across
the two-dimensional space of my notebook page
capturing my singular focus

The one on the left I tried to seduce
Only to find her obliquely obtuse
Her oversized angle symbolic
of the diverging vectors our lives would follow    

Seeking an EQUATION for LOVE . . .

       One of the interesting and fun people I had the good fortune to meet at the 2017 Bridges Math-Arts Conference in Waterloo, Ontario, is Lisa Lajeunesse.  At Capilano University, Lajeunesse teaches a course entitled "Math and Creative Arts" and presented at Bridges a thought-provoking paper entitled "The Golden Ratio:  How Close is Close Enough?"   My close connection with her came because we both were involved in a Bridges 2017 Math-Poetry Reading.  She has given me permission to include her clever and mathy poem here.

  An Equation for Love    by Lisa Lajeunesse     

          They’ve found an equation for love

          It goes something like this
          love equals attraction times compatibility to the power of opportunity
          there’s more of course and there’s been much fiddling
          with coefficients and lesser terms
          involving age, pheromones and duration of eye contact   

Artificial Intelligence in the Library . . .

     Libraries are wonderful places and library book sales are temptations impossible to resist -- and so, during a recent trip to Boston and exploration of the historic public library buildings on Boylston Street, I purchased a copy of Living Proof  (Florida International University Press, 1985) by Edmund Skellings (1932-2012).  Born in Boston and a poet laureate of Florida, Skellings was a pioneer in the application of computers to the arts and humanities.  The word "proof" in his title was enough to make me pick up the book and I have relished the opportunity to turn up memories of a long ago graduate course in AI while reading this poem:

Artificial Intelligence     by Edmund Skellings

Euclid rolled over in his bones
When Newell & Simon instructed
Their machine to look for new proof
For bisecting the ordinary triangle.   

Hate Math -- 21 Reasons (NOT) . . .

Two four-letter words that I want NEVER to be used TOGETHER are hate and math.  A lively contradiction to my wish is provided by the following piece by slam poet Shappy Seasholtz.

(For details on the World Poetry Slam to be held in Washington DC on Oct. 7-10, 

scroll down to the bottom of this posting.)

21 Reasons Why I Hate Math     by Shappy Seasholtz

1 - It's my worst subject.
2 - I failed Algebra in high school.
3 - When I retook Algebra in high school during the final exam the principal announced that the space shuttle had just blown up.
4 - The space shuttle probably blew up because of a mathematical error. 

Visual-mathematical poetry

      The poems that I write and most of the poems that I include in this blog use mathematical patterns to structure their lines and stanzas or mathematical terminology in their content -- but blogger Kaz Maslanka is a mathematical poet who does something different:  his creations involve mathematical operations and symbols as well as words.  For example, the following visual poem -- involving symbols for "equals" and "divided by" -- comes from a recent posting (in his blog, "Mathematical Poetry") of what Maslanka calls an orthogonal space poem.

"Winning" -- a visual poem by Kaz Maslanka in a form related to the formula for the area of a rectangle,  A = lw or, alternatively, w = A/l.  (Double-click on the image to enlarge it.)

During July 29-August 1, 2015, Kaz Maslanka and I both plan to participate 
in the BRIDGES Math-and-the-Arts Conference at the University of Baltimore -- 
sharing our poetry and enjoying the work of others.  
Join us if you can; no registration fee is required for Friday "Family Day" events 
which include a poetry reading.

Sonnets from The Voyage of the Beagle

 The sonnet is a song of the body as well as of the mind:

14 breaths    
5 heartbeats each breath

A few weeks ago I had the opportunity to be part of a poetry reading that also featured Rick Mullin -- who serves science as an editor of the Chemical and Engineering News -- and whose latest poetry book is a collection of sonnets that offer a magical and musical retelling of  Darwin's voyage -- in Sonnets from The Voyage of the Beagle (Dos Madres Press, 2014). Here are two selections from that collection -- the opening sonnet (first of a triptych) and a later one that features geometry of birds.

     After Uranus     by Rick Mullin
      On reading Richard Holmes 

       I

     There was an age when poetry and science
     shared the province of discovery,
     when Coleridge wished he's studied chemistry
     and Humphry Davy, in exact defiance
     of the Royal Society, blew things up.

Man Ray's "Human Equations"

     Art lovers in Washington, DC have the opportunity (until 5/10/15) to see, on exhibit at The Phillips Collection, "Man Ray -- Human Equations: A Journey from Mathematics to Shakespeare." I visited the exhibit on February 19 on the occasion of a poetry reading by Rae Armantrout -- she presented work of hers that she felt captured the spirit of Man Ray's work.  (Bucknell poet Karl Patten, whom I had as a poetry teacher years ago, insisted that "Every Thing Connects" and, indeed, this is the title of one of the poems in Patten's collection The Impossible Reaches.  Both of these phrases that became titles for Patten seem also to describe Man Ray's and Armantrout's work:  they have taken seemingly disparate objects and reached across seemingly impossible gaps to relate them.  As often happens in mathematics.)   

The Geometry of Winter, with Eagles

A poetry-listening opportunity in the Washington, DC area:

Poet Martin Dickinson will read from his new collection, My Concept of Time, 
on Sunday, January 11 at Arlington's Iota Cafe. 

AND -- if you 're San Antonio on January 11, 2015 you'll want to attend  

the 5:30 PM poetry-with-math reading (details here) 

at the Gonzales Convention Center, sponsored by JHM.

 

From My Concept of Time, here's a poem of the geometry of our winter world.

          Fourteen Eagles, Winter     by Martin Dickinson
                                  for Phyllis

          We spot them, first almost imaginary
          thin pencil lines or scratches on our glasses.

          The earth's disk flattens out
          where this pale land becomes the bay,