Shaping a Poem with Fibonacci numbers

      One of my favorite websites to visit is this varied and thoughtful "Poetry and Mathematics"  collection of postings by Marian Christie.

     Throughout history, people who write poems have often been aided by constraints.  When we sit down to write, writing the words that first occur to us -- then shaping the word into extended meanings but following a pattern of rhythm or rhyme or word-count . . . or . . .  .  For many poets the sonnet, for example, has been a poetic structure that shapes thoughts into special arrangements of words.

     In long-ago days, when print and screen versions of poems were not easily available, rhyme schemes were an important aid -- helping one's memory to keep a poem in one's head.  Now, aided by widely available print and online visibility, poetry has moved into new forms -- including a variety of visual arrangements.  

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.

Happy Fibonacci Day!

        Today, November 23 is Fibonacci Day . . . How are you celebrating?  Twitter poet Brian Bilston (@Brian_Bilston) has posted a Fibonacci poem -- with words-per-line counted by the Fibonacci numbers.  Here are its opening lines:

       I
       wrote
       a poem
       in a tweet
       but then each line grew
       to the word sum of the previous two
       until . . .

Use of the Fibonacci numbers in poetry has gotten frequent mention in this blog; here is a link to the results of a blog SEARCH using the term Fibonacci.  And find the rest of Brian's poem in this posting from August 31, 2020 -- or by browsing here on Twitter.

Celebrate math students -- a Fibonacci poem!

     South Dakota mathematician Dan May teaches mathematics at Black Hills State University where he also leads workshops for middle school teachers, explores musicology and the connections between poetry and discrete mathematics. He has been involved in math-poetry activities at Bridges Math-Arts conferences but, more importantly, he has been involved with BEAM (Bridge to Enter Advanced Mathematics), a program offering varied academic assistance to underserved students, including a summer residential program. The following Fibonacci poem celebrates that adventure.

BEAM: A Fibonacci Poem     by Dan May

Now
you 
are home — 
Brooklyn, Queens, 
the Bronx, your boroughs. 
Only yesterday still at camp, 
learning knots and graphs, writing proofs on infinity. 
I taught you the one hundred and sixty-eight automorphisms of the Fano plane. 
You wear hijabs, or Jordans, or both. Diverse faces 
display the doubts of twelve-year-olds. 
But each of you, when 
you get it — 
your face 
lights 
Up.

Author’s Note: The poem’s syllable line count follows the 

Fibonacci sequence numbers 1, 1, 2, 3, 5, 8, 13, 21 forward and backward.  

This poem and several others of Dan May's math-linked poems may be found here.

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.   

In the Tuscan sun

View
the
statue
in Pisa
of Fibonacci,
mathematician in the sun.  

Mathematics and poetry -- are the same ! ! !

Last week the Art Works Blog posted an interview with mathematician, poet, and translator, Enriqueta Carrington.  You will want to follow the link and read the whole thing.  Here is a paragraph:

quoting Enriqueta Carrington:

Mathematics and poetry are the same thing,
 or one is a translation of the other.

Well, perhaps that is an overstatement; 
but both math and poetry are about beautiful patterns, 
about creating, gazing at, and sharing them, 

and about appreciating those created by others.

It is not necessary to be a great mathematician or a great poet 
to enjoy this beauty, as I can tell you from my own experience.

Several years ago, at a time near the beginning of this poetry-math blog, in the posting for April 8, 2010, is a pantoum by Carrington.  And here is another of hers, this time a Fibonacci poem -- whose lines increase in word-count that matches the first eight Fibonacci numbers:  1, 1, 2, 3, 5, 8, 13, 21.

Taken out of context . . .

Sometimes good lines fit so well into their poems that their individual merits go unrecognized.  And then, taken out of context, they can lead lives of their own.  Here is a start for a collection of such lines.

From Poets.org here are two lines from "Ceriserie" by Joshua Clover:   

       Mathematics: Everyone rolling dice and flinging Fibonacci, going to the opera, counting everything.

       Fire: The number between four and five.

Why is SHE less known? . . .

Sometimes matching words to a syllable-count helps to bring focus to my musings.  Here are two stanzas for which I used the Fibonacci numbers as lengths for the lines I built as I considered the continuing invisibility of most math-women. (I have some hope that the second of these is primarily remembering -- and is not true of family child-care today.)

8-5-3-2-1-1    A FIB

HE is famous but SHE is not.
Yet we once judged her
potential
greater
than
his.

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      

Poetry in DC -- counting sheep

The Washington, DC area offers a rich diversity of poetry events -- workshops and readings, contests and conferences.  An excellent way to find out what's happening is through the online listing, Beltway Poetry News, maintained by editor and poet Kim Roberts.  One of the very active DC poetry organizations is The Word Works whose board chairperson, Karren Alenier, is also a fine poet. 

Last week I enjoyed one of Karren's readings -- at Café Muse in Friendship Heights Village Center.  On May 7 Karren read from her recent collection, On a Bed of Gardenias:  Jane and Paul Bowles (Kattywompus Press, 2012).  These poems were exciting to hear --  they are part of an opera libretto that Karren is working on -- but not mathematical; thus, I turn back to one of her earlier poems, "Dialectic of the Census Takers," for presentation here. 

A small Fib

My dilemma

   I've
   lost
   the art
   of careful
   thought, asea in floods
   of  trivial  information.               by JoAnne Growney

AWP avoids mathematics

I am currently attending the 2011 AWP* Conference and am disappointed that none of the sessions involves connections of writing with mathematics -- this disappointment has prodded me to write the Fib that I include below. (Recall that a Fib is a poem whose successive line-syllable counts follow the **Fibonacci seqence -- the numbers that count the petals on a flower, the spirals of seedheads on a pine cone or pineapple, and many other natural things.) 

The Fib -- a form that gathers strength

The "Fib" is a poetry form in which the numbers of syllables per line follow the pattern of the Fibonacci numbers.  (See also April 19 and April 29 postings.)   The sequence of Fibonacci numbers starts with 0 and 1 and then each successive Fibonacci number is the sum of the two preceding.  Thus, the non-zero members of the sequence are:
          1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
Poet Athena Kildegaard's collection Red Momentum (Red Dragonfly Press, 2006 ) consists entirely of Fibonacci poems.  The following samples from Kildegaard's collection illustrate the way that increasing line lengths can build to dramatic effect. From a simple start, complexity grows.

A Numerical Poem (Fibonacci)

Consider the following poem involving the Fibonacci numbers:
 

        1/89 = .0        +

                  .01        +

                  .001        +

                  .0002        +

                  .00003        +             

                  .000005        +

                  .0000008        +

                  .00000013        +

                  .000000021        +

                  .0000000034        +

                  .00000000055        +

                  .000000000089        +

                  .0000000000144        +

                  .  ...

Poems with Fibonacci number patterns

In 21st century poetry, there are a variety of non-rhyming forms--and several of them have derived from the Fibonacci numbers.*  The Danish poet, Inger Christensen (1935-2009), wrote a book-length poem, alphabet (New Directions, 2000) in which the numbers of lines in stanzas followed the sequence of Fibonacci numbers.  "Fibonacci," shown below, by Judith Baumel is a shorter example of this form.