Number Patterns in Nature

     Naval Academy engineering professor and math-poetry fan Gregory Coxson has recently introduced me to poetry by Mattie Quesenberry Smith at VMI (for a bio of Smith, go to this page, scroll down, click on BIO) -- she and I have connected and she has shared with me several of her mathy poems; here is one about the Fibonacci numbers -- a number pattern found in nature:  

     Fibonacci Found It       by Mattie Quesenberry Smith

        It is spring on House Mountain,
          And I am wondering how
          Fibonacci found it
          And believed that it matters,
          That sequence of numbers
          Hinging on what precedes them,   
          Running this springtime show.
          Soon spring will be sanguine,
          Shouting from steep shadows,
          And the eight-petaled bloodroot,
          A robust and pure lion
          Rooted in his bloody rhizome,
          Is a rare know-it-all.
          A leaf encircles his stem.
          Its strange, veined palm
          Shields him from blood’s loss.

 ”Fibonacci Found It” was first published in Thirty Days: The Best of the Tupelo Press 30/30 Project’s First Year,” edited by Marie Gauthier, Tupelo Press, 2015. Reprint rights are retained by author.

Running . . . Again . . .

      Today one of my friends from graduate-school days in Oklahoma is running in the Boston Marathon and, while following her progress on my I-phone, I have been thinking about the role of running in my own life; for me, running has been a way of releasing tension -- some exercise and good breathing.   Years ago Theodore Roethke's villanelle "The Waking" (available here) inspired me to write "Running" -- and I offer it below:

    Running      Response (by JoAnne Growney) to “The Waking” by Theodore Roethke 

       My sleep is brief.  I rise to run again,
       to flee the doubts that catch me when I'm still.
       I live by going faster than I can.

       I feel by doing.  What's to understand?
       I eat and drink and never have my fill.
       My sleep is brief.  I rise to run again.

Einstein Defining Special Relativity

     Today I share a poem by poet A. Van Jordan that takes math-science terminology and mixes it into personal situations -- and offers varied ideas to consider.  Born in Ohio, Van Jordan became interested in poetry while studying for a masters degree at Howard University and attending readings in Washington, DC.  

Einstein Defining Special Relativity     by A. Van Jordan

INSERT SHOT: Einstein’s notebook 1905—DAY 1: a theory that is based on two postulates (a) that the speed of light in all inertial frames is constant, independent of the source or observer. As in, the speed of light emitted from the truth is the same as that of a lie coming from the lamp of a face aglow with trust, and (b) the laws of physics are not changed in all inertial systems, which leads to the equivalence of mass and energy and of change in mass, dimension, and time; with increased velocity, space is compressed in the direction of the motion and time slows down. As when I look at Mileva, it’s as if I’ve been in a space ship traveling as close to the speed of light as possible, and when I return, years later, I’m younger than when I began the journey, but she’s grown older, less patient. Even a small amount of mass can be converted into enormous amounts of energy: I’ll whisper her name in her ear, and the blood flows like a mallet running across vibes. But another woman shoots me a flirting glance, and what was inseparable is now cleaved in two.

The poem above was found here at poets.org along with other samples of Van Jordan's work.  His poem "Quantum Lyrics" was included in this blog (at this link) back in February 2019.

Poem-in-your-Pocket Day -- April 29, 2022

      The following stanza by  award-winning children's author,  Beatrice Schenk de Regniers, (1914-2000), has led to an annual celebration in US schools of "Poem-in-your-Pocket" Day:

          Keep a poem in your pocket 
          and a picture in your head     
          and you'll never feel lonely
          at night when you're in bed.  

     The poetry that is in my my pocket is the opening stanza of "The Waking" by Theodore Roethke (1908-1963).   As this previous posting indicates, Roethke's poem has not always been a favorite, but now -- as I stumble toward the later years of my life -- I cherish what it awakens in me and its first stanza (offered below) belongs in my pocket!

         I wake to sleep, and take my waking slow.
         I feel my fate in what I cannot fear.
         I learn by going where I have to go.

  Roethke's entire poem, with comments, is found here in this 2018 blog posting. And this link leads to a response to "The Waking" that I wrote-- entitled "Running."

How to Triumph Like a Girl -- Learn to Swagger!!!

     A recent article in the Washington Post cited the discrimination faced by women in economics.  In response, I can't resist offering Ada Limon's poem, "How to Triumph Like a Girl" -- its mathematical connections include a defiant spirit and two numbers.   Let us begin to win!

How to Triumph Like a Girl     by Ada Limón

I like the lady horses best,
how they make it all look easy,
like running 40 miles per hour
is as fun as taking a nap, or grass.
I like their lady horse swagger,
after winning. Ears up, girls, ears up! . . .

Read the rest here at Poets.org.

Looking back . . . titles, links to previous posts

      For your browsing pleasure,here are titles and links to previous blog postings.  Below are listed linked-titles of posts from 2018 and up-to now in 2019 and here is a link to a list of titles and links for posts prior to 2018.  

•       March 13   An Interview of/by a Mathy Poet
•       March 11   Celebrate Pi-Day on 3.14
•       March  6    Celebrate Math-Women with Poems!
•       March  4    Math in 17 Syllables

February 2019: 

• Solving for X, Searching for LIFE
• Stories of Black Mathematicians (event postponed)
• All Numbers are Interesting . . .
• George Washington, cherry tree, lifespan . . .
• Musical sounds of math words -- in a CENTO
• If 2017 was a poem title . . .
• Mathematics and Valentine's Day
• Speed flunking math . . . NO, NO!
• Quantum Lyrics -- Poems

After Waking, Running

     Today's posting is a villanelle about running -- and it is was written as a response to Theodore Roethke's villanelle, "The Waking" -- posted a few days ago on July 3.  Moving quickly has been a part of my mental life (as I dart from rhymes to equations, looking for connections) and my physical life (as I try to burn enough energy that I may sit thoughtfully for a while).  Runners are among those I admire; my heroes include  Flo-Jo -- Florence Delores Griffith-Joyner (1959-98), whose 1988 records still stand, making her "the fastest woman in the world" -- and Sir Roger Gilbert Bannister (1929-2018) -- whom I remember from a lunchtime news broadcast in 1954 when I was a girl on a farm in Pennsylvania and he ran the first sub-4 minute mile in Oxford, England.
     A villanelle has a rather complex structure -- stated somewhat simply, it is a nineteen-line poem with two rhymes in its five stanzas and two lines that each are repeated (precisely or approximately) four times.  These repetitions can lead to an interesting back-and-forth in the development of images and ideas. Although not about mathematics, this villanelle may, it seems to me, say a bit about mathematicians.

    Running

          Response (by JoAnne Growney) to “The Waking” by Theodore Roethke 

       My sleep is brief.  I rise to run again,
       to flee the doubts that catch me when I'm still.
       I live by going faster than I can.

Remembering Karl Patten

     From my Lewisburg, PA friend, Ruta Karelis, I have recently learned of the April 16  death of my beloved first poetry teacher, Bucknell professor and poet, Karl Patten (1927-2017).  Karl's oft-repeated phrase (and poem title) "Every Thing Connects"  -- found on my shelf in The Impossible Reaches (Dorcas Press, 1992) -- is on my mind daily.  Another poem from that collection -- "The Play" -- I am reading and rereading today, remembering the poet.  Here it is, from Karl Patten, for you.

The Play     by Karl Patten

You're tired?  I'm tired too.  Let's forget we're people, forget all that.

You be a horizon, infinite, flat, a forever-place,
I'll be double, gray-blue ocean, gray-blue sky, touching you, just. 

Twelveness -- a Fibonacci poem from G4G

     Science writer, philosopher, and skeptic Martin Gardner (1914-2010) is perhaps best known for his long-running Scientific American column, "Mathematical Games."  His life and work are celebrated by G4G conferences ("Gatherings for Gardner") held in even-numbered years in Atlanta.  Here fans gather and present fun-mathematics to each other.
     A several-time participant in G4G is Kate Jones of Kadon Enterprises, an organization devoted to the development and distribution of Game Puzzles.  Below in a Fibonacci poem created for the 2016 G4G Jones tells the history of her game-puzzle enterprise.

Many Fibonacci poems use the Fibonacci number sequence 

to determine the numbers of syllables in successive lines of a poem.  

In the following poem, it is the numbers of words that are counted.
 A pentomino is a plane geometric figure formed by joining five equal squares edge to edge.  
There are twelve differently-shaped pentominos; this number gives the title of Jones's poem.

TWELVENESS  by Kate Jones

  1    Martin
  1    Gardner
  2    Long ago
  3    Wrote about pentominoes,
  5    Brainchild of young Solomon Golomb,
  8    The coolest recmath set in all the world.   

"The Giraffe" -- a poem for my pocket

     I've found the poem I want to carry in my pocket (and in my head) on "Poem in Your Pocket Day" -- coming soon on April 21. It includes at least one number; here it is:

       The Giraffe     by Ron Padgett

       The 2 f's
       in giraffe
       are like
       2 giraffes
       running through
       the word giraffe

       The 2 f's
       run through giraffe
       like 2 giraffes.    

Surreal parabola, Mobius strip

     When a math term appears in a poem, will its usage make sense to a mathematician? Some mathematical folks are critical of poetic use of math words because precision may be lost to "poetic license." Others feel a pleasing tension between the mathness of a term and the stretched or layered meanings suggested by the poem. With these thoughts in mind, consider these two mathematically-titled poems "Mobius Strip" and "Parabola" by Robert Desnos (France, 1900-1945), translated by Amy Levin and selected from "A sampling of French surrealist poetry."

     Mobius Strip     by Robert Desnos (trans. Amy Levin)

     The track I'm running on
     Won't be the same when I turn back
     It's useless to follow it straight
     I'll return to another place

A scientist writes of scientists

     Wilkes-Barre poet Richard Aston is many-faceted -- a teacher, an engineer, a textbook author, a technical writer.  And Aston writes of those whose passion he admires-- in his latest collection, Valley Voices (Foothills Publishing, 2012) we meet laborers, many of them miners from the Wyoming Valley where he makes his home.  Aston also writes of scientists and mathematicians -- and he has given permission for me to offer below his poems that feature Marie Curie, Isaac Newton, and Galileo Galilei.  With the mind of a scientist and the rhythms of poetry, Aston brings to us clear visions of these past lives.

Scientist     by Richard Aston

It took more than a figure, face, skin, and hair
for me to become Marie Curie,
wife of simple, smiling, selective, Pierre
who could recognize — because he was one — my genius.

Behind the cards -- mathematics

A couple of weeks ago at an MAA math lecture by Alissa Crans on the Catalan numbers, I sat near card-trick mathematician Colm Mulcahy.  And I asked him if he knew any poems about card tricks and their mathematics.
   Though he at first said "no," Mulcahy turned out to have a couple of connections up his sleeve.  From Matthew Wright he learned of "The Card Players" -- a colorful sonnet from Philip Larkin's 1974 collection High Windows and available here with selections of Adriaen Brouwer's art.  
     And Bruce Reznick reminded him of the lyrics for "The Gambler" by Kenny Rogers.  The complete lyrics may be found here; I include below a stanza that offers some instruction about counting.

May 6, 1954

I learned about it via a news broadcast on Pittsburgh radio station KDKA and, for some reason, the event stuck firmly in my memory.  I was 13 years old and on May 6, 1954 Roger Bannister ran a mile in less than 4 minutes. The integer 4 is a perfect square as was Bannister's age then -- 25.  Alternatively, 13 is prime.  As is 60 + 13 = 73.  Yesterday marked 60 years since Bannister broke the record. I have come to love running.  And playing with numbers.

          I . . . never  
          will run out
          of numbers.

Mother Courage -- and speaking of opposites

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

Writing mathy poems - a student activity

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

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.

What do we do with these numbers?

During March 22-25, 2012 I participated in the Split This Rock Poetry Festival.  One of the fine poets I met there was Oregon poet and teacher, Ingrid Wendt.  Her poem, "Numbers" shows the dramatic impacts that numerical information may have.  It is time to count.  Time to help.  Time to do right.

   Numbers     by Ingrid Wendt

                    Poem ending with words by William Stafford

   Iris says there's safety in numbers, when

   someone else arrives to share the house she won't

   need to lock the door

   When did Iris last read the news? 

Poetic Explorations of . . . Mathematicians

In the Journal of Humanistic Mathematics (Volume 1, Issue 2), we find "Numen^Rology: A Poetic Exploration of the Lives and Work of Famous Mathematicians" by Saskatchewan poet, Mari-Lou Rowley. In addition to the following poem, "On Diophantus Arithmetica," Rowley's JHM collection includes "Ode to Alan Turing" and "On Euclid’s Book VII – Elementary Number Theory: Proposition 8." Rowley's lines below wonderfully describe the emotional flow that comes with engaging in mathematics -- as mathematical terms are translated into the human terms of wanting and forthcoming, kneading, . . . and yielding.

Fear of math

California poet Carol Dorf is a high school math teacher (and has taught in a science museum) -- and images from math and science permeate her work.  An article on math anxiety (and its connections to the brain) in today's Washington Post brought to my mind this poem of hers: