Writing -- a Path toward Knowing

     Advice for my grandchildren -- in the form of a Fib.  (Wish I had remembered to give it on November 23 -- which is Fibonacci day. ) 

 

    1            When

    1            I

    2            want to

    3            understand

    5            something difficult

    8            I grab my pen, write about it.

     I'm not sure when I made the discovery but by the time I was in graduate school  I knew that my learning pattern involved my fingers and my pen.  I copied definitions into a notebook, sometimes trying to rephrase them in my own words.  I elaborated the proofs of theorems . . . my fingers helped me remember.

November 23 is celebrated as Fibonacci day because when the date is written in the mm/dd format (11/23), the digits in the date form a Fibonacci sequence: 1,1,2,3. A Fibonacci sequence is a series of numbers where a number is the sum of the two numbers before it.  A Fib is a tiny poem whose lines have as syllable-counts the first 6 Fibonacci numbers.  

For more Fibonacci-related poems, follow this link. 

CoronaVirus Fibs

     The threats of the coronavirus seem less now, but are not gone.  And, as I go through files, I have found these Fibs -- expressing concerns from worried days.

Lots of previous blog postings with Fibs can be found at this link.

Seven-line Fibs

 In a previous post (on 2/2/2222), I shared a link to dozens of Fibs;
today I offer a Fib variation -- this time with 7 lines.

     Daughter of a statistics professor, poet A. E. Stallings is no stranger to mathematics.  Here is a link to several dozen of her poems posted by the Poetry Foundation -- and this link leads to a posting of her poem "Sine Qua Non" in this blog.  Recently I discovered Stallings 2012 collection Olives (a sample is available here) and in it, "Four Fibs."   Deviating from the six-line poem that is often called a Fib, Stallings' poems have seven lines -- with syllable-counts of 1,1,2,3,5,8, and 13 syllables: here is a sample.

from   Four Fibs     by A. E. Stallings 

          1.       Did
                   Eve
                   believe
                   or grapple
                   over the apple?
                   Eavesdropping Adam heard her say
                  To the snake-oil salesman she was not born yesterday. 

Here in the archives of the Cortland Review (where "Four Fibs" first appeared) is more of Stallings' work, including the other three Fibs.

Shaping Poems with Numbers

      Numerical patterns can help guide our minds and fingers to create poems -- and one of the patterns I like is the Fibonacci numbers -- a number sequence for which the first non-zero numbers are both 1, and each succeeding number is the sum of the two preceding numbers.

          1, 1, 2, 3, 5, 8, 13, 21, 34, . . .

Formation of a six-line poem using the first 6 of these numbers as syllable-counts, gives a tiny poem that has been named a Fib.

For me, using these Fibonacci numbers  -- starting small and growing -- as syllable counts offers a nice structure for developing my thoughts around a particular topic.  I like it for myself (a couple examples below) and I suggest to my students when I am asking them to share their math-related viewpoints. 

   When                                                   When
   your                                                      your
   father                                                   mother
   is mathy                                               is mathy
   what are the chances                          what are the chances
   that interest is passed to you?           that interest is passed to you?

 These days I celebrate the fact that I have granddaughters who like math!

Poetry on Twitter

      Dubbed the "unofficial poet laureate of Twitter" Brian Bilston (a pen-name) sometimes uses mathematics to shape his poems; for example, this poem whose word-counts follow the Fibonacci numbers:

from "Brian Bilston's  POETRY LABOETRY"

Look for Brian on Twitter (@brian_bilston) 

and also on Facebook (www.facebook.com/BrianBilston/).

Links and comments for many of my blog-posts also on twitter on Twitter  @mathypoems

and a search using the hash-tag #NPRpoetry leads to lots of interesting stuff!

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.

Shaping sentences with Fibonacci numbers . . .

Counting words . . ..  

     1                One
     1               person
     2               with courage
     3               makes a majority.               Andrew Jackson (updated)

Counting syllables . . .

     1               Life
     1               is
     2               painting
     3               a picture
     5               not doing a sum.                    Oliver Wendell Holmes, Jr.

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). 

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.