Squaring the Circle -- from the POETRY App

     One of my smart-phone delights is the App (available from PoetryFoundation.org) that gives me a selection of poems on the go. (My posting for 15 October 2015 gives a description of how the App works.)  A few days ago, spinning its dials -- matching the categories "Humor," "& Arts and Sciences"-- I found the exceptional poem "Squaring the Circle" in which poet Philip Fried has some fun with the impossible problem.   ("Squaring the Circle" first appeared in the July /August 2014 issue of Poetry and Fried has given me permission to include it here.)

Squaring the Circle      by Philip Fried

It’s a little-known fact that God’s headgear — 
A magician’s collapsible silk top hat,
When viewed from Earth, from the bottom up — 
Is, sub specie aeternitatis,   

Playing with time

        Here is a poem that plays with the geometry of time -- a poem that first appeared in Mathematics Magazine, Vol 68, No 6 (December 1995), page 288.   Several of my other mathy poems written around that same time were collected in a booklet, My Dance is Mathematics, now out of print but available here on my website.  

       Finding Time     by JoAnne Growney

       Points chase points
       around the circle,
       Anti-clockwise,
       fighting time.
       You know time's a circle,
       rather than a line.          

Circle Power

Everything the Power of the World does is done in a circle

         by Black Elk (1863-1950)  (translated from Sioux)

Everything the Power of the World does
is done in a circle.  The sky is round,
and I have heard that the earth is round
like a ball, and so are all the stars.
The wind, in its greatest power, whirls. 

Margaret Cavendish (1623-73) -- The Circle of the Brain cannot be Squared

Margaret Cavendish (1623-73) was a writer who published under her own name at a time when most women published anonymously.  Her writing addressed a number of topics, including gender equity and scientific method.

Squaring the circle . . . or not . . .

     Start with a CIRCLE -- is it possible, using only a straightedge and compass, to construct a SQUARE with the same area as the starting circle?  This problem, posed by ancient geometers, was long believed to be impossible, but not proven so until 1882 when Ferdinand von Lindemann proved that π is transcendental.
     Freelance editor and math-geek Sam Hartburn offers at her website a fun-to-read poem on this topic.  The first stanza is offered below, followed by a link to the full poem text -- and a recording. 

 (not) Squaring the Circle     by Sam Hartburn

          So I had this circle, but I wanted a square
          Don’t ask why, that’s my affair
          The crucial aspect of this little game
          Is that the area should stay the same
          Ruler and compass are the tools to use
          It’s been proven impossible, but that’s no excuse
          Many have tried it, but hey, I’m me
          I’m bound to find something that they couldn’t see

          So, here we go
                . . .

Hartburn's complete poem (and recording) may be found here.

Squaring the Circle

Reminding us of the ancient unsolvable problem that so many attempted, the July/August 2014 issue of Poetry Magazine contains "Squaring the Circle," a poem by Philip Fried.  Here are the opening lines; please follow the Poetry Magazine link above to enjoy the full poem.

from  Squaring the Circle     by Philip Fried

       It's a little-known fact that God's headgear --
       A magician's collapsible silk top hat,
       When viewed from Earth, from the bottom up
       Is, sub specie aeternitatis,

       A pluperfect halo, both circle and square,
         . . .

    

Two previous posts that also consider the circle-squaring problem include 10 May 2010 and 21 April 2010.

Ideal Geometry -- complex politics

Christopher Morley (1890-1957) was an American poet, novelist, and publisher who was the son of a poet and musician (Lilian Janet Bird) and a mathematics professor (Frank Morley) at Haverford College. His "Sonnet by a Geometer," below, is written in the voice of a circle and compares mathematical perfection with human imperfection.  For us who read the poem 90 years after its writing, Morley's phrase in line 13 -- "They talk of 14 points" -- is puzzling at first.

April -- Poetry, Math, and Boxing

April continues—both as National Poetry Month and as Mathematics Awareness Month (with theme math and sports).  As in the April 9 posting on baseball, in this post I also blend these interests with a math-and-sports poem--this one celebrates boxer Sugar Ray Robinson.

Circle of Silence -- and sexual harassment

       Colonel Stacey K. Vargas is a professor of Physics at the Virginia Military Institute.  I found her poem -- with its vicious circles -- in the wonderful and provocative anthology, Raising Lilly Ledbetter:  Women Poets Occupy the Workspace, edited by Carolyne Wright, M. L. Lyons, and Eugenia Toledo (Lost Horse Press, 2015).

Circle of Silence     by Stacey K. Vargas

Like an electron trapped in an unstable orbit, I am seated in a circle of powerful men. 
In an awkward moment small talk ends and the meeting abruptly begins.
The superintendent turns to me and says, "This was not sexual harassment."
I turn to the inspector general and say, "After everything you heard in this investigation, 
       you find this acceptable?"
The inspector general turns to my department head but remains silent. 

Poetry of Romania - Nora School, Apr 24

     During several summers teaching conversational English to middle-school students in Deva, Romania, I became acquainted with the work of Romanian poets.  These included:  Mikhail Eminescu (1850-1889, a Romantic poet, much loved and esteemed, honored with a portrait on Romanian currency), George Bakovia (1881-1957, a Symbolist poet, and a favorite poet of Doru Radu, an English teacher in Deva with whom I worked on some translations of Bacovia into English), Nichita Stanescu  (1933-1983, an important post-war poet, a Nobel Prize nominee -- and a poet who often used mathematical concepts and images in his verse).
     On April 24, 2014 at the Nora School here in Silver Spring I will be reading (sharing the stage with Martin Dickinson and Michele Wolf) some poems of Romania -- reading both my own writing of my Romania experiences and some translations of work by Romanian poets.     Here is a sample (translated by Gabriel Praitura and me) of  a poem by Nichita Stanescu:

Songs of mathematics . . .

     Larry Lesser is a songwriter who uses lyrics for teaching as well as entertainment.  A varied sample of his creations for doing this are presented in his article "Mathematical lyrics;  noteworthy endeavours in education" found in the "Poetry and Mathematics / Special Issue" of the Journal of Mathematics and the Arts, March-June 2014).
     One of the article's enchanting items is a song for children -- "Circle Song" -- which Lesser has written to the familiar tune of "Twinkle, Twinkle, Little Star"; this lyric offers a way to remember critical formulas for a circle.

Circle Song     by Lawrence Mark Lesser

Take your finger 'round the jar:
Circumf'rence equals 2πr!  

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

Circling -- with Rilke

Ranier Maria Rilke (1875-1926) was born in Prague but emigrated to Germany and is one of the great modern lyric poets.   The following Rilke poems draw on images of circles.

Inclusion-Exclusion -- the power of the CIRCLE!

On my mind today, this poem by U.S. poet Edwin Markham (1852-1940):

          Outwitted     by Edwin Markham

          He drew a circle that shut me out--
               Heretic, rebel, a thing to flout.
          But Love and I had the wit to win:
               We drew a circle that took him in!

Find more of Markham's work here.

Perfect circle, Haiku

          Perfect circle round
               the moon
          In the center of the sky

by Jack Kerouac (1922-1969), from Book of Haikus  (Penguin, 2003).  Thanks, Francisco.

PS.  If Kerouac were a mathematician he'd have noticed that "perfect" is implied by the definition of "circle" and is unnecessary.  But Kerouac was a poet and he saw a different necessity.

More from BRIDGES poets . . .

     The 2016 BRIDGES Math-Arts Conference is currently taking place at the University of Jyväskylä in Jyväskylä, Finland.  Poets on this year's program include: Manfred Stern, Vera Schwarcz, Eveline Pye, Tom Petsinis, Mike Naylor, Alice Major, Emily Grosholz, Carol Dorf, Tatiana Bonch-Osmolovskaya, Madhur Anand and the organizer, Sarah Glaz.
      Although he is not a participant in this year's BRIDGES, the name of Portuguese mathematician, poet, and translator Francisco José Craveiro de Carvalho appears near the top of the conference's poetry page for his translation of these lines that have become a sort of motto for BRIDGES poetry:

             Newton's binomial is as beautiful as Venus de Milo.
             What happens is that few people notice it.

                        --Fernando Pessoa (as Álvaro de Campos)
                          translated from the Portuguese by Francisco Craveiro  

Split This Rock 2014

     Plan now to attend the 4th national biennial Split This Rock Poetry Festival: Poems of Provocation & Witness in Washington, DC, March 27-30, 2014.  The sixteen poets to be featured at the 2014 festival are:  Sheila Black, Franny Choi, Eduardo C. Corral, Gayle Danley, Natalie Diaz, Joy Harjo, Maria Melendez Kelson, Yusef Komunyakaa, Dunya Mikhail, Shailja Patel, Wang Ping, Claudia Rankine, Tim Seibles, Myra Sklarew, Danez Smith, and Anne Waldman.   The website SplitThisRock.org offers photographs and more information about the festival.  It will be awesome!  

A Fib (a perfect circle) -- and some math-po links

    1      Not 
    1      one 
    2      circle
    3      is perfect
    5      yet the idea
    8      of circle's useful every day.

The beauty of images and the ideas they represent is central in both mathematics and poetry.  A wonderful resource for works that join these two is the literary website TalkingWriting,com -- whose poetry editor is Carol Dorf, also a math teacher.  Here is a link to a wonderful TW essay from a few years back, "Math Girl Fights Back" by Karen J Ohlson.  This article by Dorf, "Why Poets Sometimes think in Numbers,"  introduces a 2012 collection of mathy poems.  Another collection was posted in the Spring 2016 issue.  In addition, at the TalkingWriting website, you can enter the search term "math" -- as I did -- and be offered 5 pages of links to consider. 

How does the Triangle relate to the Circle?

     One of the active promoters of poetry with links to mathematics is Californian Carol Dorf -- who teaches math at Berkeley High School AND is poetry editor for the online journal, TalkingWriting.  Along with several other mathy poets, Carol participated in the poetry reading at the Bridges 2017 Math-Arts Conference in Waterloo, Ontario.
     Here, playing with mathematical language -- from Carol's 2013 collection, enchantingly illustrated by Terri Saul, Every Evening Deserves a Title (Delirious Nonce, Berkeley, CA) -- is "Euclidean Shivers."

     Euclidean Shivers     by Carol Dorf

     So, how does the Triangle
     relate to the Circle?    

     Euclid and a radius prove points
     that radiate from the center, a circle,
     a method to navigate space.

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