A thousand Christmas trees

My email poem-a-day today from www.poets.org is "Christmas Trees" by Robert Frost (1874-1963); this 1916 poem includes some calculations and reflections based on the line:

       “A thousand trees would come to thirty dollars.”

Frost's poem has provoked me to thoughts of inflation and conservation; for the full poem, follow the link given with the title above.  And, if your time permits, go back to previous "Christmas" postings in this blog at these links:  23 December 2013,  24 December 2012,  21 December 2012,  22 December 2011, and 2 September 2010.

The gift of a poem

     In this holiday season of giving, sometimes the gifts are poems -- and sometimes mathy poems.  A few days ago, "Zero" by Robert Creeley (1926-2005) arrived in an email from Francisco José Craveiro de Carvalho, a Portuguese mathematician who loves poetry and has translated many math-related poems into his native language -- a seeker and finder of such poems who shares them with me.  (See also 23 October 2010 and 17 September 2013.)  At this time of giving and receiving, enjoy playing with these thoughts of zero as nothing or something.

          Zero     by Robert Creeley

                              for Mark Peters

          Not just nothing,
          Not there's no answer,
          Not it's nowhere or
          Nothing to show for it -- 

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 

Fractals -- poems and photos

     Marc Frantz and Annalisa Crannell have written about mathematics and art (Viewpoints:  Mathematical Perspectives and Fractal Geometry in Art: Princeton University Press, 2011) and now Frantz (who is both a mathematician and an artist, a painter) has collaborated with a poet -- Robin Walthery Allen --  to develop a collection entitled Dance of Eye and Mind (not yet published).  I am honored to present a poem-photo pair from this exquisite collection.

     What is in us that must reach the top,
     that longs to look down upon the world as if a god?
     Don’t we know that in this infinite space
     the same rocks at the seashore know the secret of each peak?

Our curve is a parabola

Found in the essay, "Intellect" (1841) --  these words by 19th century American philosopher and poet Ralph Waldo Emerson (1803-1882):

     When we are young, we spend much time and pains
     in filling our note-books with all definitions
     of Religion, Love, Poetry, Politics, Art, 
     in the hope that, in the course of a few years,
     we shall have condensed into our encyclopaedia
     the net value of all the theories
     at which the world has yet arrived.
   
     But year after year our tables get no
     completeness, and at last we discover
     that our curve is a parabola,
     whose arcs will never meet.    

A mathy Haiku

Found at the froth magazine website, this Haiku by Christopher Daniel Wallbank.

Mathematics

I, mathematics,
One plus root five over 2.
My soul is golden. 

 Note:  In mathematics, two quantities p and q (p>q) are in the golden ratio 

if the ratio p/q is equal to the ratio (p+q)/q.  The value of the golden ratio -- 

often represented by the Greek letter phi (φ) -- is 1.618...  or (1+√5)/2.

Here is a link to another mathy froth poem, this one "Division" by Ryley-Sue.

A scientist writes of scientists

     Wilkes-Barre poet Richard Aston is many-faceted -- a teacher, an engineer, a textbook author, a technical writer.  And Aston writes of those whose passion he admires-- in his latest collection, Valley Voices (Foothills Publishing, 2012) we meet laborers, many of them miners from the Wyoming Valley where he makes his home.  Aston also writes of scientists and mathematicians -- and he has given permission for me to offer below his poems that feature Marie Curie, Isaac Newton, and Galileo Galilei.  With the mind of a scientist and the rhythms of poetry, Aston brings to us clear visions of these past lives.

Scientist     by Richard Aston

It took more than a figure, face, skin, and hair
for me to become Marie Curie,
wife of simple, smiling, selective, Pierre
who could recognize — because he was one — my genius.

Poet as mathematician

     Lillian Morrison (1917-2014) was a NYC poet and librarian whose work I first met in the poetry-with-math anthology, Against Infinity.  Here is one of her poems from that collection.

       Poet as Mathematician    by Lillian Morrison

       Having perceived the connexions, he seeks
       the proof, the clean revelation in its

       simplest form, never doubting that somewhere
       waiting in the chaos, is the unique

       elegance, the precise, airy structure,
       defined, swift-lined, and indestructible.

Morrison's insightful poem disappoints me in one important way:  her mathematician-poet is "he."  Another Morrison poem, "The Locus of a Point," may be found in my posting for 15 September 2014.

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.  

Giving thanks for poems

     As Thanksgiving approaches I am thankful not only for many blessings but also for the numbers I use to count them -- eight grandchildren, four children, two parents, one sister, one brother, an uncountable number of friends.  And I am thankful for poetry.  Here is one of my favorite math-related poems.

How to Find the Longest Distance Between Two Points   
  
                                                     by James Kirkup (England, 1919 - 2009)

From eye to object no straight line is drawn,
Though love's quick pole directly kisses pole.
The luckless aeronaut feels earth and moon
Curve endlessly below, above the soul
His thought imagines, engineers in space.

The Math Lady Sings

     One of my daily emails results from a Google Alert -- which I have set up to let me know of new web-postings (or old information newly accessed) that contain the terms "mathematics" and "poetry." (Another online delight comes when I Google "mathematics poetry" (or "math poetry") and browse the images that occur at the top of the list that Google offers.  What fun!)
     It is through a Google Alert notification that I learned of the poetry book It Ain't Over Till the Math Lady Sings by Michelle Whitehurst Goosby (Trafford, 2014).  This Math Lady was the subject of an article by Jennifer Calhoun in the Dotham Eagle (Dotham, AL)  -- and Calhoun put me in in touch with the poet who graciously offered permission for me to present one of her poems here.  Goosby is a teacher and the poem poses a number puzzle for readers to solve.

Five Naturals

Consecutively Odd  

by Michelle Whitehurst Goosby

In Praise of Fractals

     Philosopher Emily Grosholz is also a poet -- a poet who often writes of mathematics. Tessellations Publishing has recently (2014) published her collection Proportions of the Heart:  Poems that Play with Mathematics (with illustrations by Robert Fathauer) and she has given me permission to present one of the fine poems from that collection.

In Praise of Fractals     by Emily Grosholz

               Variations on the Introduction to
               The Fractal Geometry of Nature by Benoit Mandelbrot
               (New York: W. H. Freeman and Company, 1983)

Euclid’s geometry cannot describe,
nor Apollonius’, the shape of mountains,
puddles, clouds, peninsulas or trees.
Clouds are never spheres, 

Imaginary Number

Last week (on November 6) I was invited to read some of my poems at the River Poets reading in Bloomsburg, PA (where I lived and taught for a bunch of years).  Among the friends that I had a chance to greet were Susan and Richard Brook -- and, from them, received this mathy poem by Pullitzer-Prize-winning-poet Vijay Seshadri.

Imaginary Number     by Vijay Seshadri

The mountain that remains when the universe is destroyed
is not big and is not small.
Big and small are

comparative categories, and to what
could the mountain that remains when the universe is destroyed
be compared?    

In college she studied mathematics

     In the third paragraph of the Wikipedia bio for Marguerite Duras (1914-1996), we read "At 17, Marguerite went to France, her parents' native country, where she began studying for a degree in mathematics."  I had the opportunity, several weeks ago at AFI Silver, to enjoy a screening of an exquisite restoration of "Hiroshima Mon Amour," a 1959 film for which Duras wrote the screenplay (nominated for an academy award).
    At the website goodreads.com I found this mathy (and poetic) quote that I recognized as from the film:

Composite or Prime?

 Her age 

is 9.
 

Is that 9

composite

or prime?

     I have a wonderful collection of grandchildren and am continually on the lookout for both math and poetry activities to include in the things that they enjoy.  Recently I mail-ordered retired fourth-grade teacher Franny Vergo's collection Mathapalooza:  A Collection of Math Poetry for Primary and Intermediate Students (AuthorHouse, 2013).  Here is a sample from that collection: 

A big voice, Galway Kinnell (1927-2014)

     Last week master poet Galway Kinnell died (NYTimes obituary).  One finds a detailed bio and a baker’s dozen of his best poems at the Poetry Foundation website -- do a search using the poet's name.  Many of Kinnell's poems are about nature -- somewhat in the way that mathematics may be about science  --  that is, he uses the images of nature to speak multiply of complex issues.  Here is a poem about identity that includes several math terms.

     The Gray Heron    by Galway Kinnell (1927-2014)

     It held its head still
     while its body and green
     legs wobbled in wide arcs