Stories of Quadrilaterals

     Sometimes I have time to browse my shelves and rediscover old favorites.  Several of this blog's much-read poems have come from Scottish author Brian McCabe (Find blog search results at this link) -- and below I offer the first part of McCabe's two-part poem ("Two Quadrilaterals") entitled "The Restless Square."

Two Quadrilaterals    by Brian McCabe

     Part 1.  The Restless Square  

          There was a square who yearned
          to become something else.

          It stretched its legs to mimic
          an elegant rectangle but
          lost its balance, leaned over
          in a perilous parallelogram.    

Square poems -- pricked by a cactus!

     Back home now in Maryland after some time in Arizona (near Tucson) with cousins, my mind is full of the beauty and diversity of the cactuses that I saw there -- in yards and gardens and, most spectacularly, at the Arizona-Sonora Desert Museum (BIG Thanks, Bob and Ann!)  My interest in these prickly plants led me to seek a poem that featured them.  What I found is a small "square poem" in my article "Mathematics in Poetry" -- published several years ago by the Mathematical Association of America (MAA) and available here.  Below, I quote that tiny square poem -- preceded by an explanatory introduction.

Mathematicians enjoy pushing against constraints to find what is possible despite their presence; I enjoy a similar struggle in poetry. For example, when I wanted to write about my decision to be polite even though somewhere inside I feel very uncivil, the constraints of a 3 × 3 square poem led me to:

Mock feelings
serve as well
as true ones.  

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,   

A 6 x 6 syllable-square -- and links to more . . .

          Last Sunday's paper had
          an essay by a clown
          who said as long as I
          play dumb people let me
          do what I want.  And I
          cannot stop wondering.

 6, a perfect number    

Find lots of mathy poems here at TalkingWriting.com; this week featuring Sarah Glaz.

At this link find poems, etc. by Spelman College math students working with Colm Mulcahy.

A Diagonal . . . and so little time . . .

On my mind in recent days is the problem of "so little time."  About a year ago I posted a wonderful mathy poem by Californian Brenda Hillman about time.  The complete poem is available here; below I supply the opening lines:

       Time Problem     by Brenda Hillman

               The problem
                of time.      Of there not being 
                enough of it. ...

Over the six years of this blog, the most-visited post has been "Varieties of Triangles"  with poetry by Guillevic.  Here is another of that poet's charming geometric offerings:

 Diagonal   by Guillevic  (Englished by Richard Sieburth)

       To get where I have to go
       I claim right of way.

       Because I provide communication
       Between two angles

       I take precedence
       I take up residence.

       I cross first,
       Come what may.
 
"Diagonal" is found in Guillevic's Geometries,from Ugly Duckling Presse (2010). Buy it!

The Shape of the World -- a dream of equality

     One of the most vital components of the Washington DC poetry scene is Split This Rock -- an  organization that speaks and acts against injustice.  (Co-founder and Executive Director, Sarah Browning, is a long-time activist and a fine poet.)  One of STR's 2016 programs has been Al-Mutanabbi Street Starts Here DC 2016,  a book arts and cultural festival that commemorates the 2007 bombing of Baghdad’s historic bookselling street, and emphasizes free exchange of ideas and knowledge, in solidarity with the people of Iraq.  Several weeks ago at one of these events I met poet Dunya Mikhail and her translator, Kareem James Abu-Zeid, and was involved in discussion and reading from The Iraqi Nights (New Directions, 2015).  Here is a mathy poem from that collection.

       The Shape of the World      by Dunya Mikhail
                                           translated from the Arabic by Kareem James Abu-Zeid)
       If the world were flat
       like a flying carpet,
       our sorrow would have a beginning
       and an end.

       If the world were square,
       we'd lie low in a corner
       whenever the war
       plays hide and seek.

       If the world were round,
       our dreams would take turns
       on the Ferris wheel,
       and we'd all be equal.

     A link to the Arabic original version of this poem is shown at the bottom of Mikhail's webpage -- a link that also offers  a recording of her reading this poem, set to music.
     And please note that coming up soon is the  2016 Split This Rock Poetry Festival (April 14-17, 2016) with many excellent workshops and readings.  Learn about it here and register (online registration closes March 31).  See you there.

Seeing the NEWS in square stanzas

Reading today's Washington Post, a surprising statistic:

               Sharks don't kill
               as   many
               as cows do.
 

In the years 2001 to 2013 in the US an average of 20 deaths annually were caused by cows, 

compared with 1 during each of those years from sharks.

Also, Pope Francis has spoken out, expressing his concerns for our environment:

               Pope Francis,
               like me, sees
               climate change--

               a real
               problem.

Square stanzas for Women in Maths

Women

in Maths --

it all

adds up.

     Go here for "It All Adds Up" -- a story in plus Magazine by Rachel Thomas about the recent Women in Maths conference sponsored by the London Mathematical Society.

     And if you know of POEMS that celebrate women in mathematics, please contact me (email address at bottom of blog) or post a link in the comments to this post.

17 syllables -- and other art

What is he talking about?  What does he mean?
The thought-provoking riddle posed by these 17 syllables (presented here as 3 square stanzas) from Ludwig Wittgenstein (1889-1951)  is something I found on the the wall of the National Gallery of Modern Art in Rome, not far from a replica of "Fountain" by Marcel Duchamp (1887-1968).  Photos of both are shown below.

What you are

regarding

as a gift 

is a 

problem 

for you 

to solve.

Stars and men revolve in a cycle . . .

In a book-discussion group in which I participate, we are reading some of the short fiction of Jorge Luis Borges (1899-1986) and that reading has provoked me to dive again into my copy of his Selected Poems (Ed. Alexander Coleman, Penguin, 1999).  Here is one of Borges' poems that uses terminology from mathematics:

The Cyclical Night     by Jorge Luis Borges
                                             tr. Alistair Reid (1926-2014)
          to Sylvina Bullrich

 They knew it, the fervent pupils of Pythagoras:
 That stars and men revolve in a cycle,
 That fateful atoms will bring back the vital
 Gold Aphrodite, Thebans, and agoras. 

The Girl Who Loved Triangles

     I found this poem by Michigan poet Jackie Bartley when I was browsing old issues of albatross (edited by Richard Smyth) and she has give me permission to post it here.  Like Guillevic (see, for example, this earlier post), Bartley has found personalities in geometric figures.

To the Girl Who Loved Triangles     by Jackie Bartley

          Triangulation:  Technique for establishing the distance between two points
                                      using a triangle with at least one side of known length.

One girl in a friend's preschool class
loves the triangle.  Tanya's favorite shape,
the children call it.  Simple, three sided, at least

one slope inherent, slip-slide down
in the playground of mind.  Tension and its
release.  Sure balance, solid as the pyramids.  The 

Marching for Climate

     Today I want to call attention to the growing global concern about climate change accentuated by the United Nations Climate Summit that opens September 23. Tomorrow (September 21) I will travel on a 6 AM bus  from Silver Spring to NYC to be part of the People's Climate March.  It is said that more than 500 buses of protesters are heading to New York. 29 marching bands will provide the soundtrack. 26 city blocks are being cordoned off for the march's line-up.   At the same time, more than 2,000 People's Climate events are taking place in over 160 countries around the world—from Hong Kong to Buenos Aires and from New York to San Francisco.

     To have a small carbon footprint I will march tomorrow with only a small sign -- one that wears a 3x3-square reminder that dates back to a 1968 essay, "Tragedy of the Commons,"  by ecologist Garrett Hardin (1915-2003). 

       There  is  no
       place to throw
       that's  away.

WHY is it taking us so long to act to preserve a habitable planet?  Do we not care about the world we are leaving for our grandchildren?

Mathy poems via e-mail

Publishing a blog about poetry and mathematics brings me new connections -- it is not unusual for a day to begin with an email from another poetry-math enthusiast who wants to share a link or a poem. One of these is retired USC biochemist Paul Geiger.  
     Using as raw material a poem by Shel Silverstein, Geiger created a 9x9 syllable-square:

S.C.S. STOUT     by Paul Geiger

       Apologizing and Acknowledging Shel Silverstein's 1974 poem
             "SARAH CYNTHIA SYLVIA STOUT WOULD NOT TAKE THE GARBAGE OUT"

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.

Divided selves, some of them savvy

     For social connections, it is desirable not to be pegged as a member of an outcast group.  And thus a mathematician is likely to have at least two selves -- one who lives in the world of mathematics and another separate social self that negotiates that rest-of-the-world where many fear and shun mathematics. I found a situation somewhat similar when I studied at Hunter College in Manhattan:  I needed a separate self who negotiated the city. The problem-solving farm girl who knew small towns well and big cities slightly seemed better equipped to adapt to city conversations than her fellow students could chat about anything west of the Hudson.  How many hundred miles must you drive to get to Pennsylvania? they wondered.  (The Delaware River boundary of PA is about 75 miles west of the George Washington Bridge.)
     In this vein, I present a poem that focuses on the country vs city divide -- and it involves a square look and a number.

     Green Market, New York   by Julia Spicher Kasdorf

Land without a square

Here is a bit of light verse from the pen of John Updike (1932-2009).

ZULUS LIVE IN LAND 
WITHOUT A SQUARE     by John Updike

               A Zulu lives in a round world.  If he does not leave his reserve. 
     he can live his whole life through and never see a straight line.
                                             --headline and text from The New York Times

In Zululand the huts are round,
The windows oval, and the rooves
Thatched parabolically.  The ground
Is tilled in curvilinear grooves.

Math, Magic, Mystery -- and so few women

Today, April 30, is the final day of Mathematics Awareness Month 2014; this year's theme has been "Mathematics, Magic and Mystery" and it celebrates the 100th anniversary of the birth of one of the most interesting men of mathematics; educated as a philosopher, Martin Gardner wrote often about mathematics and sometimes about poetry.  Gardner described his relationship to poetry as that of "occasional versifier" -- he is the author, for example, of:

     π goes on and on
     And e is just as cursed
     I wonder, how does π begin
     When its digits are reversed?   

A Cento from Arcadia

Last week I had the enjoyable privilege of visiting with mathematician-poet Marion Cohen's math-lit class, "Truth and Beauty" at Arcadia University -- and the class members helped me to compose a Cento (given below), a poem to which each of us contributed a line or two of poetry-with-mathematics.  Participants, in addition to Dr. Cohen and me, included these students: 
          Theresa, Deanna, Ian, Collin, Mary, Grace, Zahra, Jen, Jenna, 
          Nataliya, Adeline, Quincy, Van, Alyssa, Samantha, Alexis, Austin.
Big thanks to all!

Dimensions of a soul

In the poem below, Young Smith uses carefully precise terms of Euclidean geometry to create a vivid interior portrait.

     She Considers the Dimensions of Her Soul   by Young Smith

     The shape of her soul is a square.
     She knows this to be the case
     because she often feels its corners
     pressing sharp against the bone
     just under her shoulder blades
     and across the wings of her hips. 

A square-root of dead weight . . .

     A poet  I love (Seamus Heaney, 1939-2013, 1995 Nobelist) has died. The NYTimes obituary for Heaney quotes one of my favorites of his poems, "Digging" -- also available at poetryfoundation.org.  Part of what I like about this Irishman's poetry is its design.  Not only do his poems offer musicality of language but they feel carefully constructed -- modeling real world phenomena as mathematical models do -- built with careful attention to structure and detail until varied factors have been erected into in integrated whole.  "Digging" ties together the physical activity of Heaney's father shoveling in the peat bogs of Ireland to his own probing with a pen for words.