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

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        +

                  .  ...

A special Fibonacci poem

     A recent email from Marian Christie -- a nominally retired mathematics teacher from Aberdeenshire  -- alerted me to her very special sort of Fibonacci poem, one in which the number of letters-per-line follows the Fibonacci numbers AND the length of each word is a Fibonacci number AND the poem speaks about the objects counted by these Fibonacci numbers.

Pathways      by Marian Christie
–
O
I
am
not
going
anywhere
unaccompanied
by life’s patterns: a whorl
in a pinecone, branches on oak or elm trees, 
the petal count of a daisy, the helix at the heart of a chrysanthemum,
the shell of a nautilus swimming in the ocean. A sequence hides in the shape of
                                                                             probabilities, and in my own DNA. 

Poet's Note: In this poem the number of letters per line is determined by the Fibonacci sequence: the first line has zero letters while the last line, representing the twelfth number in the sequence, contains 89 letters. In addition, the letters of each word add up to a Fibonacci number.  

Christie's poem was first published on the UK-based website IndependentVariable.

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.

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.

Looking back . . . to previous posts . . .

  BROWSE and ENJOY!

Back in January 2020 I gathered a list of titles of previous posts and posted it here at this link.  And below I offer titles of postings -- with links -- since that time.

And, if you are looking for a post on a particular topic,
you are invited to explore the SEARCH feature in the right-hand column
OR to browse the list of  Labels (also to the right) -- and click on ones that interest you.

 

TITLES OF POSTS (with links) 

June, 2021    

      Math Communication with Poetry -- Strogatz Prize

      One More Love Poem

      Interpreting Khayyam -- in Rhyme   

      Putting CALCULUS into a poem . . .  

      Images of a Complex World   

      Encryption and Love   

      Every Seventeen Years . . .   

      A Life Made to Count   

      A Few Lines of Parody   

      Euclid and Barbie -- and attitudes toward math . . .

 

May, 2021      

      A Mathy Rhyme from Twitter   

      A Rhymer and an Analyst -- a Friendship   

      What does CANCEL mean? -- some poetic wordplay!   

      MoMath Celebrates Limericks!  

      Reflecting on Pi . . .   

      Keeping Track of Chairs   

      Mathematical Forms in Poetry . . .  

      Mathy Jokes    

      Climate Concerns   

      Celebrate Math-Women -- Celebrate AWM  

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.   

Put a Fibonacci poem in your pocket!

       Each year the month of April is celebrated as National Poetry Month  -- and upcoming April 29, 2026 is this year's Poem in Your Pocket Day.  

       I invite you to explore this blog to find a poem you'd love to carry in your pocket . . . .and, below, I provide another possible pocket-poem -- this one a poem whose line-syllables are counted by the Fibonacci numbers.  These lines below are the opening lines of a poem by Arizona State professor and writer Punya Mishra; the complete poem is offered at this link:

This link leads to previous blog postings that offer Fibonacci poems.

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.

Blog history -- title, links for previous posts . . .

      My first posting in this blog was nearly eight years ago (on March 23, 2010).  If, at the time, I had anticipated its duration, I should have made a plan for organizing the posts.  But my ambitions were small.  During the time I was teaching mathematics at Bloomsburg University, I gathered poetry (and various historical materials) for assigned readings to enrich the students' course experiences. After my retirement, I had time to want to share these materials -- others were doing well at making historical material accessible to students but I thought poetry linked to mathematics needed to be shared more.  And so, with my posting of a poem I had written long ago celebrating the mathematical life of Emmy Noether, this blog began.  Particular topics featured often in postings include -- verse that celebrate women, verses that speak out against discrimination, verses that worry about climate change.   

You're invited to:
Scroll through the titles below, browsing to find items of interest
among the more-than-nine-hundred postings since March 2010
OR 
Click on any label -- a list is found in the right-hand column below the author profile 
OR
Enter term(s) in the SEARCH box -- and find all posts containing those terms.

 For example, here is a link to the results of a SEARCH using    math women 

And here is a link to a poem by Brian McCabe that celebrates math-woman Sophie Germain.
This link reaches a poem by Joan Cannon that laments her math-anxiety.
This poem expresses some of my own divided feelings.

                                       2017 Posts

December 2016 (and prior) -- titles, dates of posts

Here are the titles and dates of previous blog postings,

moving backward from the present.

For mathy poems related to a particular mathy topic -- such as women in math or climate or triangle or circle or teacher or . . . -- click on a selected title below or enter the desired term in the SEARCH box in the right-hand column.  For example, here is a link to a selection of poems found using the pair of search terms "women  equal."  For poems about calculus, follow this link.  To find a list of useful search terms, scroll down the right-hand column. 

     Dec 31  Happy New Year! -- Resolve to REWARD WOMEN!
     Dec 27  Celebrate Vera Rubin -- a WOMAN of science!
     Dec 26  Post-Christmas reflections from W. H. Auden
     Dec 19  Numbers for Christmas . . .
     Dec 15  Remembering Thomas Schelling (1921-2016)
     Dec 12  When one isn't enough ... words from a Cuban poet

A thoughtful Fibonacci poem

     An email message from Washington, DC poet and blogger Karren Alenier alerted me to this mathy Fibonacci poem found online in the Summer 2020 Issue (#36) of The Fib Review.  The poet., Roberto Christiano, has given me permission to offer it to you here.

the irrational   by Roberto Christiano

irrational
numbers
c'est moi?
a number that
cannot be expressed by the
ratio of two integers / and what's an integer?  

Math-Stat Awareness Month -- find a poem!

APRIL is Mathematics and Statistics Awareness Month
AND
National Poetry Month!

 Celebrate with a MATHY POEM, found here in this blog!  Scroll down!

If you are looking for mathy poems on a particular topic, the SEARCH box in the right-column may help you find them. For example, here is a link to posts found when I searched using the term "parallel."  And here are posts that include the term "angle."   To find a list of additional useful search terms, scroll down the right-hand column. 

For your browsing pleasure, here are the titles and dates of previous blog postings,

moving backward from the present.  Enjoy!

Mar 31  Math and poetry in film
Mar 28  Split this Rock, Freedom Plow Award, April 21
Mar 27  Math-themed poems at Poets.org
Mar 23  Remember Emmy Noether! 

From 2010 -- titles and dates of posts

List of postings  March 23 - December 31, 2010
A scroll through the 12 months of titles below may lead you to topics and poets/poems of interest. Also helpful may be the SEARCH box at the top of the right-hand column; there you may enter names or terms that you would like to find herein.
    Dec 31  The year ends -- and we go on . . .
    Dec 30  Mathematicians are NOT entitled to arrogance
    Dec 28  Teaching Numbers
    Dec 26  Where are the Women?
    Dec 21  A Square for the Season
    Dec 20  "M" is for Mathematics and . . .  

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.  

Celebrating winter with a Fibonacci poem

  Another year ends . . . may 2019 bring good numbers for us all!  

     Exercise -- especially jogging -- helps to channel my restless energy and allow me to be productive.  Here is a poem of jogging and the Fibonacci numbers.

Counting on a December morning     by JoAnne Growney

one chickadee, one squirrel
my own two feet left-right left-right on the soft track
around the soccer field three blocks from my home
sparkling bright against grey sky five crows alight
in the lacy spread of fractal branches of eight bare locust trees

when I am early morning’s first human to arrive at Shepherd Park
when I am first and the wind is gentle and the temperature
is not bitter cold
dozens of robins hop and flutter near me
as I plod some thirteen laps

smiling, maybe losing count
and loving my Fibonacci world

Thanks to mathematician-poet Sarah Glaz who has included this poem 

in the Bridges Stockholm 2018 Poetry Anthology.

A(nother) blog that celebrates Math-and-Poetry

      Recently I have come to know another strong advocate of math-poetry connections.  Marian Christie (read about her here) has had longtime interest in both mathematics and poetry and her blog -- available at  https://marianchristiepoetry.net/ -- explores topics that include "Poetry and Fractals," "Poetry and Number Sequences,"  "Poetry and Permutations," . . . reflection symmetry and square poems and Fibonacci poems . . .. and lots more.  Allow yourself time to explore when you visit https://marianchristiepoetry.net/. 

     When I am working with a group of students are nervous about their ability to write a poem, I often start by asking them to write a Fib, because it starts with single syllables,  In her posting about Fibonacci poems, Christie offers this simple     example of how the Fib structure can lead you to a poem. 
               I
               like
               playing
               with patterns
               in crochet, music,
               poetry and mathematics.

If you are new to Fibs, try this CHALLENGE: using the same first two lines as Christie used above, create a Fibonacci poem.  And then another ... and another.

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.

Recursion

A mathematician may face a dilemma over the meaning of an ordinary term -- for words like "group" and "identity" and "random" (to name a few) have precise mathematical definitions that differ from their common meanings. Canadian poet Peter Norman's title, "Recursion," however, uses the term as it is used mathematically.  While a definition of "recursion" is widely available in mathematics texts, it was missing in my several English dictionaries -- and I found it only in the OED (though, even there,  noted as now rare or Obs.) : "a backward movement, return."   The term "return" indicates previous forward motion. In mathematical recursion (illustrated below by the Fibonacci sequence) as in Norman's poem, going backward is possible only because forward motion is known. (Interested readers will find an introduction to mathematical recursion following the poem.)

     Recursion    by Peter Norman

     I fall awake alone. Outside,
     nocturnal rain ascends.  

Numbers from the Piano

     Of all of the things we might try to say when we sit down to write a poem, which are the ones we should choose?  Sometimes we may say what first occurs to us -- begin to write and keep going until we are done.  This may suffice -- or it may seem to lack care.  To be more careful, we might seek a pattern to follow:  perhaps we might form lines whose syllable-counts follow the Fibonacci numbers.   Or construct a sonnet -- fourteen lines with five heart-beats per line and some rhyme.  Or devise a scheme of our own.