When parallel lines meet, that is LOVE

Bernadette Turner teaches mathematics at Lincoln University in Missouri. And, via a long-ago email (lost for a while, and then found) she has offered this love poem enlivened by the terminology of geometry.

Parallel Lines Joined Forever    by Bernadette Turner

       We started out as just two parallel lines
       in the plane of life.
       I noticed your good points from afar,
       but always kept same distance.
       I assumed that you had not noticed me at all.  

Geometry of baseball

Many poems are written of baseball; a few of them involve mathematics --  see the posting for April 9, 2010 for math-related baseball poems by Marianne Moore (1877-1972) and Jerry Wemple; see the posting for September 18, 2011 for one by Jonathan Holden.
     Today I feature the opening stanza from a baseball poem by Pennsylvania poet, Le Hinton.

from   Our Ballpark    by Le Hinton

       This is the place where my father educated us:
       an open-air school of tutelage and transformation.
       This is where we first learned
       to count to three, then later to calculate the angle
       of a line drive bouncing off the left field wall.
       We studied the geometry and appreciated the ballet
       of third to second to first, a triple play.
              . . .

Similar, self-similar -- fractals, a poem

      In geometry two objects are said to be similar if they have the same shape --- which happens if their angles are the same size and occur in the same sequence. For example, any pair of triangles with angles 30, 60, and 90 degrees are similar; also, the lengths of pairs of corresponding sides of these triangles have the same ratio.
      A term used in the terminology of fractals is self-similarity: a self-similar object has exactly (or approximately) the same shape as a part of itself.  A variety of objects in the real world, such as ferns and coastlines, are approximately self-similar: parts of them show the same statistical properties at many scales. At the end of this post are a couple of diagrams that illustrate how a fractal may be developed.  But first, experience the generative beauty of self-similarity via a poem by Maryland poet Greg McBride.  Mathematician Benoit Mandelbrot (1924-2010), quoted in McBride's epigraph, often is nicknamed "the father of fractals."

Geometry of Love

     A couple of weeks ago my "Google Alert" linked me to a posting of a science poem concerning "the geometry of love."  The posting -- at The Finch and Pea -- is a poem that is both elegant and precise (and one that has been included in the anthology, Strange Attractors:  Poems of Love and Mathematics, that Sarah Glaz and I collected and edited several years ago).  Here it is:

The Definition of Love     by Andrew Marvell (England, 1621-1678)

My love is of a birth as rare
As ‘tis for object strange and high;
It was begotten by Despair
Upon Impossibility.  

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. 

Can you SEE the monument?

Links to non-intersecting celebrations of April
as National Poetry Month      and      Mathematics Awareness Month

are available here and here.

Recently I revisited my copy of Elizabeth Bishop:  The Compete Poems, 1927-1979 (FSG, 1999) and turned to "The Monument" -- a poem mathematically interesting for its geometry.  Here are the opening lines; the complete text and many other Bishop poems are available online here:

from  The Monument     by Elizabeth Bishop  (1911-1979)

     Now can you see the monument? It is of wood
     built somewhat like a box. No. Built
     like several boxes in descending sizes
     one above the other.
     Each is turned half-way round so that
     its corners point toward the sides
     of the one below and the angles alternate.  

Angles in Alaska

Last Thursday evening I was honored to read in Takoma Park's Third Thursday poetry series -- along with poets Judy Neri and Kathleen O'Toole -- and my reading focused on poems of my times in Alaska.  The brilliant geometry of  our 49th state affected me strongly and "Angles of Light" became the title poem for a chapbook I published with Finishing Line Press in 2009.  Here is section 3 (of 7) from that poem.

Algebra cadabra

It was my good fortune to meet Colette Inez back in the early 1990s when she was poet-in-residence at Bucknell University. Then, as now, I was collecting poems-with-mathematics, and I have long loved this poem that weaves figuring into forests.

Forest Children     by Colette Inez

We heard swifts feeding in air,
sparrows ruffling dusty feathers,
a tapping on stones, mud, snow, pulp
when rain came down, the hiss of fire.
Counting bird eggs in a dome of twigs,
we heard trees fall and learned
to name them on a page for school. 

A chance encounter

     I invite you to celebrate the coming of the new year 2013 with a poem I like a lot.
     Alberta poet Alice Major produces poems that feel good in the mouth when you read them aloud.   As in "Locate the site," offered below.   From the repeated t's in her title and the c's in her epigraph to her closing lines with "accept / the guidance of whatever calculating god / has taken you in care," I hugely enjoy the vocal experience of reading Major's words; and that pleasure enhances their meaning.  That her terms often are mathy adds still more enjoyment.

Locate the site     by Alice Major

      To find a city, make a chance encounter

The plane sails in above the setter-coloured fields
swathed in concentric lines of harvest,
circle on square.  I find myself returning
to this place that wasn't home.

Word Play -- "Of Time and the Line"

Charles Bernstein, poet and teacher,  experiments with poetry  and prefers "opaque" and "impermeable" writing -- to awaken readers "from the hypnosis of absorption."  In the poem below he does, as mathematicians also do, multiplies ideas by playing with them -- here using "line."

     Of Time and the Line     by Charles Bernstein

     George Burns likes to insist that he always
     takes the straight lines; the cigar in his mouth
     is a way of leaving space between the
     lines for a laugh.  He weaves lines together
     by means of a picaresque narrative;

The view from here -- or there

From Nashville math teacher and blogger, Tad Wert, I learned of this poem, "Geometry, Lost Cove" by his Harpeth Hall School colleague, Georganne Harmon; in it, Harmon examines the contrasts in appearances when objects are seen from different distances. (And the mathematician goes on to say, Ah, yes -- in other words, some mappings of a space do not preserve distance.)

    Geometry, Lost Cove     by Georganne Harmon

    The ridge across this cove
    is straight as a ruled line,
    its bend as pure as an angle
    on a student’s quadrilled page.
    Beyond it another ridge lies
    straight-backed, as well,
    drawn off by its touch with sky.

A poetic perspective on algebra

     Last Monday (April 4), the Washington Post had an article concerning the value of Algebra II  as a predictor of college and work success.  Since then I have heard numerous successful people point out that they did not have the cited course.   Also on April 4, NPR had a feature on the advantages of being bilingual.   My own mind joined these two stories --  for me, algebra is a second language and has enabled my learning of lots of other things.
     Colette Inez 's poem "Forest Children" uses the language of poetry to speak of algebra (and of her concern for shrinking woodlands).

Coleridge: A Mathematical Problem

 "A Mathematical Problem" by Samuel Taylor Coleridge (1772-1834) -- found online at Elite Skills Classics -- uses verse to describe construction of an equilateral triangle; Coleridge introduces the poem with a letter to his brother telling of his admiration of mathematics, a view rather rare among poets.   

Voices in a Geometry Classroom

I have been invited to return next week (October 20 at 7 PM) to Bloomsburg University, where I taught mathematics for lots of years, for a poetry reading.  Preparation for the reading (which celebrates my new book, Red Has No Reason) drew my thinking back to my teaching days at Bloom and to "Geometry Demonstration," a poem about the arguments in my head as I faced a particularly challenging class of geometry students.  Here it is.

Varieties of triangles -- by Guillevic

My introduction to French poet Guillevic (1909-97) came from UK poet Tim Love who found three of his triangle poems translated into Italian.  Jacqueline Lapidus translated them for me from French into English, after which I also found Guillevic's collection Geometries (Englished by Richard Sieburth, Ugly Duckling Presse, 2010) -- with its circles, ellipses, parallels, and so on.  And so, beyond these three, there will be more to enjoy later.  

A wedding song -- shaped by mathematics

This posting includes a stanza from of "A Wedding on Earth" by Annie Finch.  In the poet's words: the poem has 11 stanzas with 11 lines for a total of 121 lines, this number symbolizing the two single members of a pair joining into a 2, which is the prevailing theme of the poem; and each stanza combining [averaging] the stanza of Spenser's epithalamion (18 lines)  with Sappho's stanza (4 lines).

Miroslav Holub, poet and scientist

Miroslav Holub (1923-1998), Czech poet and immunologist who excelled in both endeavors, is one of my favorite poets.  He combines scientific exactitude with empathy and absurdity.  Here are samples:

The Corporal Who Killed Archimedes

With one bold stroke

he killed the circle, tangent

and point of intersection

in infinity.