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Articles that link math and poetry . . .

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Below I offer links to two articles that I rediscovered recently. 
     The first is a National Geographic Education Blog posting from 2018, "How Math and Poetry Intersect" (an article for which I found no author named).  This article offers a variety of activities for students.
     The second article comes from The American Scholar, way back in 2009 -- a thoughtful article by Joel E, Cohen entitled "A Mindful Beauty:  what poetry and applied mathematics have in common" -- an article also mentioned in this 2010 blog posting.  

Personalities in Mathematics . . .

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     For those of us who spend time in the World of Mathematics, numbers and other mathematical objects often develop personalities.   Previous posts have featured poems by the French poet, Guillevic, whose verses animate geometric objects.  Today I offer (below) a photo of  "Glum Circles" -- found in the imaginative collection, Lyrical Diagrams   -- with prose poems by David Greenslade and images by Carolina Vasquez (Shearsman Books, 2012).

An online sample of the first 17 pages of Lyrical Diagrams is available here as a pdf.

"My number is . . ."

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    More than twenty years ago I found and admired Montana poet Sandra Alcosser's poem, "My Number" (included in Except by Nature, Graywolf, 1998) -- and I included it in a small anthology, Numbers and Faces, that I edited; (published in 2001 by the Journal of Humanistic Mathematics).  "My Number" also has more recently also been included in Strange Attractors:  Poems of Love and Mathematics  (Edited by Glaz and Growney: AK Peters/CRC Press, 2008).

My Number    by Sandra Alcosser
I’m linked with the fate of the world’s disasters 
and only have a little freedom to live or die.
VITESLAV NEZVAL
My number is small.  An hundred pounds of water,
A quart of salt.  Her digit is a garment.

I wear her like a shadow.  We judge each other,
My number and I.  She is the title.  The license.

The cash drawer.  My random number.
She protects me from myself.  She desires me.

She says she’s only one of thirty million species.
She wishes she were more than anecdotal evidence.
Read more »

The Cube of the Rainbow

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     Later this week a scheduled screening (in nearby Takoma Park, MD) of a film about Emily Dickinson (1830-1886) has prompted me to return to some rereading of Dickinson's verse -- which is occasionally mathematical.   For example:

       We shall find the Cube of the Rainbow     by Emily Dickinson

       We shall find the Cube of the Rainbow.
       Of that there is no doubt.
       But the Arc of a Lover's conjecture
       Eludes the finding out.

The stanza above is found in many places; my source is Strange Attractors:  Poems of Love and Mathematics, ed. by S Glaz and JA Growney (AK Peters/CRC Press, 2008).  This link leads to previous postings of Dickinson's work in this blog.

Math modeling is poetry . . .

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      Jennifer Pazour is a professor the Department of Industrial and Systems Engineering at  Rensselaer Polytecnic Institute and is, like me, a blogger.  Recently I discovered in her blog this 2014 posting that modifies a description of poetry by poet Geoffrey Orr to compare poetry with mathematical modelling.   First, a brief poem that for me illustrates the mathematical nature of the poetry of Orr -- followed by Pazour's poetry-math-modeling comparison.

       Manhattan Island Poem   by Gregory Orr

       Thin river woman with a concrete star
       wedged in her ear. I wrap
       a blue scarf of old movies around my eyes.
       At night I am a jar of fireflies dying.                   found at PoemHunter.com 
Read more »

Using poetry to open dialogues with science . . .

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     Recently I have obtained a copy of Sam Illingworth's book, A Sonnet to Science:  scientists and their poetry (Manchester University Press, 2019)  -- a collection of essays-with-poems that features these six scientist-poets:  Humphrey Davy, Ada Lovelace, James Clerk Maxwell, Ronald Ross, Miroslav Holub, and Rebecca Elson.  
       A dust-jacket blurb describes the author:  
            Sam Illingworth is a Senior Lecturer in Science Communication, where his work involves
                   using poetry to develop dialogues between scientists and non-scientists
                   especially amongst traditionally under-served and under-represented communities. 
             Illingworth also is a poet -- with a poem-a-week-blog available at this link.
From Rebecca Elson (1960-1999), an astronomer and poet whose life was cut short by cancer, we have these math-linked lines (written in 1998 and on page 168 of A Sonnet to Science):

     Is there any language, logic
     Any algebra where death is not
     The tragedy it seems   
Read more »

Small and large -- poetic views . . .

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     A favorite on my bookshelves isThe Book of Disquiet: the Complete Edition by Fernando Pessoa*.  Here is a math-poetic item from this "diary" by Pessoa:

     In a discussion about how a village may be larger than a city 
          because you can see more of the world there  -- Pessoa quotes (on p. 241) 
               these lines from Alberto Caeiro, one of his writing personas: 

                 Because I am the size of what I see
                 And not the size of my own stature.

     These lines are from Millimeters (the observation of infinitesimal things),
          on pp. 67-69: 
Read more »

Poems and Primes

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     Recently Press 53 offered a "Prime 53 Poem" poetry challenge -- to write a poem meeting these conditions:
     ·      Total syllable count of 53
     ·      Eleven total lines 
     ·      First three stanzas are three lines each with a 7 / 5 / 3 syllable count 
     ·      Final stanza must be two lines with a 5 / 3 syllable count, for a total syllable count of 53
     ·      Rhyme scheme (slant/soft rhymes are fine) aba cdc efe gg
A Prime 53 poem’s total line count is a prime number (11), the syllable count in each line is a prime number (7 / 5 / 3) with each line of the last two-line stanza a prime number (5 / 3), and the poem’s total syllable count is a prime number (53).
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Playing with permutations of the nouns of a poem

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     Founded in 1960, OULIPO  (short for French: Ouvroir de littérature potentielle) has been active in the exploration of the effects of constraints or arbitrary rules  in the production of literature.  
          Developed in the 13th century, the sonnet 
                   (with 14 lines, 10 syllables per line and a prescribed rhyme scheme) 
                       is a well-known member of these "constrained" forms.  The Haiku is another.
     Published in 2005, the Oulipo Compendium, Revised and Updated (edited by Harry Mathews and Alastair Brioche, Make Now Press, Los Angeles) contains definitions and examples of a large variety of rule-following writing.  On page 173 we find some interesting comments about language by French poet Jean Lescure (1912-2005):
     " . . . Lescure remarks that we frequently have the impression 
          that language in itself  'has something to say' and that nowhere 
          is this impression more evident than in its possibilities for permutation.  
          They are enough to teach us that to listen we must be silent
          enough to transform a well-oiled bicycle into a well-boiled icicle."   
Read more »

A pleasing permutation of lines -- the Villanelle

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     A villanelle is a 19-line French verse form -- with lines divided into five three-line stanzas and a final quatrain -- a poem in which the first and third lines each appear four times.  This thoughtful repetition of lines, each time in a somewhat different context, is very pleasing -- and reminds me of the varied situations in which many mathematical models also are effective
     Well-known villanelles include “Do Not Go Gentle into That Good Night” by Dylan Thomas, and Elizabeth Bishop’s “One Art.” (And here is a link to this blog's offerings of villanelles.)   Below are the opening stanzas of a fine villanelle by Emily Grosholz; the entire poem is included in an article in The Mathematical Intelligencer, "Figures of Speech and Figures of Thought" (available here).  The article -- written by Emily Rolfe Grosholz and Edward Rothstein -- is based on an interview of Grosholz at New York City's Poets House and celebrates her book Great Circles -- The Transits of Mathematics and Poetry (Springer, 2018).  

from  Holding Pattern    by Emily Rolfe Grosholz   
Read more »

Celebrate Halloween with counting rhymes . . .

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Halloween, Halloween, strangest sights I've ever seen . . .

Three Little Witches

One little, two little, three little witches
Fly over haystacks, fly over ditches,   
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Math-Poetry at JMM in Denver --January 2020

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Deadline, November 12 -- Math-Poetry Contest for Colorado students
More details here in this blog-posting and 
here at the American Mathematical Society website.
Winners will read at the 2020 Joint Mathematics Meetings (JMM)
on January 18 at the Colorado Convention Center in Denver.

Deadline November 15:  details below about how to sign up to participate 
in a JMM poetry reading on the evening of January 17 -- 
also at the Denver Convention Center.

    Continuing a math-meetings tradition, math poets will gather at JMM for an MAA Special Presentation: An Evening of Poetry -- this upcoming program will be on Friday, January 17,  7–8:30 pm, in Room 503 of the Colorado Convention Center.  In 2020, we want especially to feature poetry with a focus on how math can help unify us and improve our world.  
Read more »

Weaving mathematics into poetry . . .

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     José Alan Esparza Lozano is from the border region of Ciudad Juárez, México and El Paso, Texas -- and traveled to Cambridge, Massachusetts where he graduated in 2019 from MIT with a BS in mathematics. Currently he is an award-winning graduate student in Santiago, Chile -- and he has a book of math-linked poems which I have much enjoyed reading (and from which I offer one of my favorites below).
    Lozano's poetry collection is called Chrysalis and Self-- and print copies are available at amazon.com -- moreover, if you are interested, you may contact the poet about the possibility of obtaining an electronic copy. Here, from page 36, is "Manywhere" -- and the poem is followed by a note from the end-of-book note that offers explanation of the mathematics contained therein:
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Try it -- you'll like it -- write an ACROSTIC poem!

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     When solving problems in mathematics, the constraints that are imposed on the solution often are helpful in solving it. As a simple example, if we are given the lengths of  the two shorter sides in a scalene triangle, the problem becomes easily solvable if we know that the triangle is a right triangle.
     Poets also often find constrains helpful in shaping their words into special meaning.  For example, the rhythm and rhyme scheme of the poetry-pattern called a sonnet have led to many notable poems.  In this blog, in earlier postings, we have celebrated the FIB -- a six line poem whose syllable-counts obey the Fibonacci numbers. A popular form of poetry for calling attention to a particular idea is an ACROSTIC poem -- a poem in which the first (or other) letters of each line spell out a word or phrase.  Here is my sample:  MATH POEMS HELP US SEE.   

     M     My
         algebra
     T      teacher
         has   
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Mathematics -- something useful ... or beautiful ...

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     I offer a sample below from a poem by Jane Hirshfield entitled "Mathematics" and invite you to go here to read the entire poem -- and to reflect on it.  What does the poem say that is true about mathematics?

fromMathematics     by Jane Hirshfield

          I've envied those 
          who make something 
          useful, sturdy— or
          a chair, a pair of boots.  
Read more »

Connecting mathematics to a larger world . . .

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     I begin with words from a former student -- a postal worker who had retired early and went back to school to become a primary-school teacher:

                    I will teach
                    mathematics
                    by punctuality
                    and perfect attendance.

     In 1959, a Rede Lecture by C. P. Snow (1905-1980)  famously identified two separate cultures  -- the scientists and the humanists -- and these days what is often termed the STEM to STEAM movement is attempting to humanize the sciences by emphasizing the necessity of the arts in scientific study.  
Read more »

Multiplication is vexation ... the rule of three, etc.

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     There are lots of childhood rhymes that celebrate the use of numbers -- here is a sample (found at this website)  -- the "Rule of Three" also is the subject of an interesting article by Ben Johnson, "Using the Rule of Three for Learning." 

          Multiplication is Vexation   

          Multiplication is vexation;
          Division is as bad;
          Rule of Three doth puzzle me,
          And Practice drives me mad.

     My recent browsing on the topic of math-phobia started when I came across this article focused on "tackle the fear head on" in the Washington Post.  I am grateful that many are working to help others overcome anxieties related to math.
Results of a search of this blog using the term "anxiety"may be found here.

The Poet of Number -- syllables counted by primes

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     Margaret Zheng is a first-year student at Haverford College -- with interests that include mathematics (see page 2 at this link) and music and philosophy and poetry . . .  Margaret was a finalist in her county's poetry contest last year and she has sent me the following poem -- with syllable-counts that are primes:  

the mathematician     by Margaret Zheng

(2)     mappings,
(3)     permutings,
(5)     patterns free-mingling
(7)     on the page of the poet
(11)    of Number.  'tis the heartbeat of Heaven she
(13)    craves to feel -- resonances -- to hear -- harmonies -- to
(17)    see -- beauties lost like children in the city swamp of lights 
               and shuffling
(19)    feet kicking the pavement never gazing upwards 
               in fear their genius would burst
(23)    free of the benumbing thuds of concrete and whisk them away
                to-wards infinities primal . . .
(....)
Thanks, Margaret, for sharing your musical words!

I am THANKFUL for . . . mathematics, poetry . . .

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Today as I am preparing for Thanksgiving -- with its guests and travel and remembering -- my thoughts have turned back to Carl Sandburg (1878-1967), one of the first American poets whose work I came to know and love.  Here are several lines from Sandburg's "Arithmetic":

from    Arithmetic    by Carl Sandburg

Arithmetic is where numbers fly like pigeons in and out of your head.
Arithmetic tells you how many you lose or win if you know how 
     many you had before you lost or won. . . .
Arithmetic is numbers you squeeze from your head to your hand
     to your pencil to your paper till you get the answer. . . .
If you ask your mother for one fried egg for breakfast and she
     gives you two fried eggs and you eat both of them, who is
     better in arithmetic, you or your mother?
Happy Thanksgiving!

Sandburg's complete poem is available here.  And this link leads to previous postings in this blog of work by Sandburg that has math connections.

Dogs Know . . . Mathematics

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     A mathematics/statistics education researcher who writes both poetry and song lyrics -- who writes these often and well -- is Lawrence "Larry" Lesser, professor at The University of Texas at El Paso.  A search of prior postings in this blog leads to a variety of Lesser's poems: here's a link.
   And here is another Lesser poem to enjoy  -- this one found along with lots more math-poetry in the Bridges 2016 Poetry Anthology, edited by Sarah Glaz (Tessellations Publishing, 2016).
   
       Dogs Know    by Larry Lesser

       A dog-eared College Mathematics Journal lies
       open to a paper called
       "Do dogs know calculus?"
       where the author's canine travels land
       and water to reach most quickly
       the ball thrown
       into Lake Michigan.  
Read more »
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