A Russian toast (with mathematics)

Several weeks ago I had the pleasure of visiting the Washington Museum of Poetry and Music -- a collection in Rockville, MD gathered and maintained in the home of Uli Zislin who has lived in the US since 1996. (Among other treasures, the musuem has recordings of poets Anna Akhmatova, Boris Pasternak, Osip Mandelstam, and Anastasia Tsvetaeva.)    At the time of my visit, Zislin presented me with one of his own poems that includes a bit of mathematics.  The original Russian version of Zislin's poem is at the bottom of this post.  Prior to that I offer a translation into English by Arlington poet, teacher, and award-winning Russian translator, Katherine Young.  Thank you, Katherine.

        A Pedagogical Toast     by Uli Zislin

                 translated by Katherine E. Young

       Friends and colleagues, pedagogues!
       We’re not philosophers, not gods.
       We’re simply people, soldiers of God,
       destined to suffer and to love.  

Three Greguerías

From Portugal, from Francisco -- who emailed me the gift of these lines:

Three Greguerías   by Rámon Gómez de la Serna (1888-1963)
                                             translated by Francisco J Craveiro de Carvalho and JoAnne

Holding her hoop the little girl goes to school and to the playground,
to play with the circle and its tangent.

Zeros are the eggs from which all the other numbers are hatched.

Numbers are the best acrobats in the world: they stand on top of each other without falling down.

Ramón Gómez de la Serna is considered the father of the greguería -- a one-liner in which he combined gentle humor with a metaphor. 

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."

The mathematician, she . . . .

     Tomorrow, March 8, is the International Day of the Woman -- and I celebrate the day with mixed feelings.  YES, there are many women I want to celebrate. BUT WHY are they not celebrated daily, equally with men? And a more specific concern, WHY, when the word "mathematician" is used, is the person assumed to be a man. (There is, on the other hand, a nice non-gendered neutrality in numbers -- as in this first stanza of "Numbers," by Mary Cornish, found below.)
      In this posting I celebrate Grace Brewster Murray Hopper (1906-1992) -- a mathematician with a doctorate from Yale, a navy admiral, a computer scientist who led in the development of COBOL, an early (c.1959) programming language.  A person I had the good fortune to meet when she visited Bloomsburg University in 1984 to receive an honorary Doctor of Science Degree.  Hopper was imaginative and articulate; here is some poetry found in her words.

                               If it's a 
                               good idea,
                               do it.  

Celebrate Pi -- write in Pilish

On 3/14/15 many of us will celebrate  π - day; for those who like to gaze on the digits of  π,  one hundred thousand of them are available here.  In honor of this upcoming special day I have composed a small stanza in Pilish (the language whose word-lengths follow the digits of  π ). 

3.  1  4  

Get a list,

 1  5  

I shout,

   9  2  6  5  3  5

Women in Maths -- on Facebook

     Recently I prepared an item for Rachel Levy's Grandma Got STEM blog that told a bit about my granddaughters who like math.  My preparation for that posting led me to focus on my wish to have math be a fun place for girls to hang out -- a place for lots of girls:  feminine girls, sporty girls, popular girls, silly girls (as well as geek girls).  Mathematics has mostly been a lonely place for females -- my first  girl-friend who was also a math person was a colleague whom I met in my 40s (see my poem for Toni, "Girl-Talk").   I want mathematics to be a welcoming place for my granddaughters. A place with friends.
     Related to this concern, wonderful news came in my email box recently from Susanne Pumpluen (video) at the University of Nottingham.  She has started a Women in Maths page on Facebook .  There one can find bios, videos, news links and FRIENDS.  Visit.  LIKE. Offer your comments and support. 

Reflections on Logic

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 is a sample:

       Brief Reflections on Logic     by Miroslav Holub

                                     translated by Stuart Friebert and Dana Habova

       The big problem is everything has
           its own logic.  Everything you can
           think of, whatever falls on your head.
           Somebody will always add the logic.
           In your head or on it.  

Found poetry - words of Dirac

The epigraph for Richard Bready's "Times of Sand" (a stanza of which I posted a few days ago on 21 February) is a quote from British physicist Paul Dirac (1902-1984, founder of quantum theory).  This quote reminded me how often we find poetry within well-written prose -- and I have gone to WikiQuotes and found more poetic words from Dirac:

       If you are 
       receptive 
       and humble, 

       mathematics 
       will lead you 
       by the hand. 

How many grains of sand?

     Sand beaches are places I love to walk.  Next to oceans and soft underfoot. 

Below I post a stanza from Richard Bready's "Times of Sand"  --

 a long poem that explores many of the numbers related to sand. 

     Contemplating grains of sand turns my thoughts to the pair of terms "finite" and "infinite."  One of my friends, university-educated, versed in literature and philosophy, offered "all of the grains of sand" as an example of an infinite set.   As we talked further, he proposed "the stars in the universe" as a second example. This guy, like many, equates "infinite" with "too large to count."  And then there is me; long ago in college I encountered a definition of "infinite" that went something like this:  A set is infinite if there is a one-to-one correspondence between the members of the given set  or one of its proper subsets with the set {1, 2, 3, . . ..} of counting numbers.

The numbers say it all . . .

The title of my posting today, "The numbers say it all" comes from the final line of "After Leviticus," by Detroit poet Philip Levine.  Levine (1928-2015) died this past Saturday.  Often termed "a working class poet," this fine writer won many awards for his work. 

     After Leviticus     by Philip Levine

     The seventeen metal huts across the way
     from the great factory house seventeen
     separate families. Because the slag heaps
     burn all day and all night it’s never dark,
     so as you pick your way home at 2 A.M.
     on a Saturday morning near the end

America, land of equals (perhaps)

Preparing to celebrate (after Valentine's Day) Presidents' Day, remembering particularly George Washington (b February 22, 1732) and Abraham Lincoln (b February 12,1809), I offer a few lines by Walt Whitman (1819-1892).

       America     by Walt Whitman

       Centre of equal daughters, equal sons,
       All, all alike endear'd, grown, ungrown, young or old,
       Strong, ample, fair, enduring, capable, rich,
       Perennial with the Earth, with Freedom, Law and Love,
       A grand, sane, towering, seated Mother,
       Chair'd in the adamant of Time.        [1888]

This poem is found here in the Walt Whitman Archive.

Surreal parabola, Mobius strip

     When a math term appears in a poem, will its usage make sense to a mathematician? Some mathematical folks are critical of poetic use of math words because precision may be lost to "poetic license." Others feel a pleasing tension between the mathness of a term and the stretched or layered meanings suggested by the poem. With these thoughts in mind, consider these two mathematically-titled poems "Mobius Strip" and "Parabola" by Robert Desnos (France, 1900-1945), translated by Amy Levin and selected from "A sampling of French surrealist poetry."

     Mobius Strip     by Robert Desnos (trans. Amy Levin)

     The track I'm running on
     Won't be the same when I turn back
     It's useless to follow it straight
     I'll return to another place

Celebrate Black History, Valentine's Day

February is Black History Month and on the 14th we celebrate love with Valentine's Day.  To find in this blog a variety of mathy poems on these topics (and many others) use the SEARCH box found at the top of the right-hand column of this blog.

Moebius Strip

Following a lead from Francisco, I found (here) this tiny poem by Michael Hessel-Mial:

       moebius strip

       a belt of clouds
       twist it, latch it
       twisted

       which way will it rain?

To find more poems that feature the Mobius strip  locate the SEARCH box at the top of the this blog's right-hand column -- and enter the term mobius.  Alternatively, the search box also works for a myriad of other topics.

Is winter half over?

     Today (February 2) those of us with roots in Pennsylvania join enthusiasts from everywhere as we  look to mythical groundhog Punxsutawney Phil for a forecast concerning prolonged winter or early spring.  This morning Phil's forecast was bleak but not unexpected: we will have six more weeks of winter.
     This news that our winter is only half over has led me to a poem (found in the illustrated anthology Talking to the Sun, edited by Kenneth Koch and Kate Farrell, published in 1985 by the Metropolitan Museum of Art):

      Another Sarah     by Anne Porter (1911-2011)
                 for Christopher Smart
       When winter was half over
       God sent three angels to the apple-tree
       Who said to her
       "Be glad, you little rack
       Of empty sticks,
       Because you have been chosen.

       In May you will become
       A wave of living sweetness
       A nation of white petals
       A dynasty of apples."

Another winter poem by Porter with a bit of mathematics is included in this post for 25 November 2012.

Twined Arcs, Defying Euclid

     The English language has adopted into current usage many terms from other languages.  French terms like coup de grace and haut monde have for many years been found in English dictionaries.  Recently, computer terms such as bite and captcha and google have achieved widespread use.  In addition, those of us who are fluent in the language of mathematics find that its terms sometimes offer a concise best way to describe a non-mathematical phenomenon.
     Mathematician-poet Sarah Glaz weaves mathematical terms into her poem, "Departures in May" -- a poem that uses the language of geometry to vivify the presence of loss, death and other dark forces.

       Departures in May     by Sarah Glaz

       Big things crush, inside the brain,
       like plaster of Paris on stone;
       a taste of splintered metal;
       terra-cotta hardness of heart's desire.
       Statues motionless
       at railroad depots,
       proclaim imitation as life.

Poetry-math images; Expectation

     Search engines are very useful in my search for mathy poets and poems.  Recently I have noticed that a link to images  has been offered prior to the verbal links when I have queried Google using "mathematics poetry."  Some of the visuals are quotations, some are book-covers, some are poems.  When you have time, explore and enjoy! 

     Finding more via Google that I expected connected me with an old poem.  Here, unearthed recently, is "Expectation"  -- some lines from the 1980s, when I was beginning to write poems.
 

Expectation            

Don't let mathematics                Don't let mathematics
teach you to expect two              teach you to expect one
to be more than one.                 to be the sum of its parts.

Girls who like math

Often I think about the interactions of girls with mathematics and recently I have been feeling delighted that all of my school-age granddaughters like math. In fact, Harvey Mudd mathematician Rachel Levy has included views from these girls (and from me) here in her blog, "Grandma Got STEM."

T h i s
g i r l
d o e s
m a t h

S u m
f o r
f u n
 

s o
 i f 

1

To read selections from several of my favorite poems about girls-in-math (including Sharon Olds' poem "The One Girl at the Boys' Party" and Kyoko Mori's poem, "Barbie Says Math is Hard") follow this link to a posting made on 10 June 2010.  Another math-girls post was back on  26 December 2010.  Or use the SEARCH box (upper right) to find poems related to your own choice of topics.

Probability and Coincidence

     On page 26 of my copy of the latest New Yorker is a poem by Lia Purpura entitled "Probability."  In her brief poem Purpura renders with poetic power the astonishment each of us feels when meeting a long-ago classmate at an out-of-town super market or some other unexpected event.  Take time to follow the link and read this poem.
     Recently several friends have shared with me their amazement at unexpected coincidences and I have been tempted to illustrate -- perhaps with the birthday paradox --  how likely to happen unexpected events may be.

  With more than 23 persons in a room the chances are more than 50-50

 that two of them will share a birthday (same day, maybe different years).

Many websites offer explanation of this "birthday paradox" -- here is one.

To add two and two

     Today I call attention again (as in my post for 6 January, 2015) to the extensive  Science-Poetry collection edited by Norman Hugh Redington and Karen Rae Keck. Mathy (rather than bawdy) limericks are featured in the collection; for example, this one by an unknown author:

       There was an old man who said, "Do
       Tell me how I'm to add two and two?
            I'm not very sure
            That it doesn't make four --
       But I fear that is almost too few."  

Opposites, Balance

     Recently, and perhaps always, opposites have interested me.  For example, the complementary and sometimes  conflicting nuggets of advice contained in "Pinch a penny, waste a pound" and "It is best to prepare for the days of necessity."   And in  "Kindness effects more than severity" and "Spare the rod, spoil the child."   Maybe what I like best is the challenge of synthesizing opposite truths.
     Mathematics contains many pairs of entities that are, each in some different sense, opposites:

2 and -2      2 and 1/2

horizontal and vertical   differentiation and integration

And there are some arbitrary subdivisions that often are treated as if they are disconnected opposites:

pure vs. applied (creating mathematics vs. solving problems)

teaching and learning, creating vs. teaching, arts and sciences

In an ideal world, opposites exist with "Balance" -- which is the title of the following lovely and contemplative poem by Adam Zagajewski :

The Geometry of Winter, with Eagles

A poetry-listening opportunity in the Washington, DC area:

Poet Martin Dickinson will read from his new collection, My Concept of Time, 
on Sunday, January 11 at Arlington's Iota Cafe. 

AND -- if you 're San Antonio on January 11, 2015 you'll want to attend  

the 5:30 PM poetry-with-math reading (details here) 

at the Gonzales Convention Center, sponsored by JHM.

 

From My Concept of Time, here's a poem of the geometry of our winter world.

          Fourteen Eagles, Winter     by Martin Dickinson
                                  for Phyllis

          We spot them, first almost imaginary
          thin pencil lines or scratches on our glasses.

          The earth's disk flattens out
          where this pale land becomes the bay, 

from MIT Science-Poetry -- The Cal-Dif-Fluk Saga

     Recently I have enjoyed browsing a voluminous online 19th century Science-Poetry collection (Watchers of the Moon) hosted by MIT, gathered and edited by Norman Hugh Redington and Karen Rae Keck. Google led me to the site in a search for " poetry of calculus" and I found there found a fascinating item by J. M. Child:  The Cal-Dif-Fluk Saga (from The Monist: A Quarterly Magazine Devoted to the Philosophy of Science -- Open Court Publishing, 1917) and described as "a  pseudo-epic about the invention of calculus."  
     Child was a translator (from Latin into English) of the works of Isaac Barrow and Gottfried Leibniz and his poem presents the names of well-known mathematicians in clever scrambles:  Isa-Tonu is Newton, Zin-Bli is Leibniz, Isa-Roba is Barrow, Gen-Tan-Agg stands for Barrow's Gen-eral method of Tan-gents and of Agg-regates while Shun-Fluk and Cal-Dof refer to the methods of Newton and Leibniz.  One may, with a fair amount of work, enjoy this dramatization of warriors and weapons -- battles that were part of the development of calculus.  Here from the middle of the Saga (from Section 6 (of 17)), is a sample of Child's lines illustrating the struggles that calculus required.

The Role of Zero

     In mathematics, as in poetry, multiple meanings are common and create power for the language.   For example, the number 0 is an idempotent element, an additive identity, a multiplicative annihilator -- and it also plays the role of something that may represent nothing.
     In Dorothea Tanning's poem below -- I found it at poets.org -- zero takes on still another of its roles, that of place-holder -- as in the numbers 101 and 5000, for example.

       Zero     by Dorothea Tanning (1910-2012)

       Now that legal tender has
                    lost its tenderness,
       and its very legality
               is so often in question.
       it may be time to consider
       the zero--
                    long rows of them.
            empty, black circles in clumps
                              of three, 

2014 (and prior) -- titles, dates of posts

Scroll down to find titles and dates of posts in 2014.  At the bottom are links to lists of posts through 2013 and 2012 and 2011 -- and all the way back to March 2010 when this blog was begun.   This link leads to a PDF file that lists searchable topics and names of poets and mathematicians presented herein. 

Dec 30  Be someone TO COUNT ON in 2015
Dec 28  A Fractal Poem
Dec 25  A thousand Christmas trees
Dec 24  The gift of a poem
Dec 20  The Girl Who Loved Triangles 

Be someone TO COUNT ON in 2015

By any means of counting, 

the number of incarcerated persons in the United States 

is TOO LARGE

and the proportion of prisoners with BLACK SKIN

is TOO GREAT
  and there is TOO MUCH VIOLENCE and DEATH in our prisons.

RESOLVE to stop the violence (RSVP)  in America's prisons!  Work for fair sentencing and Equal Justice!  Let your resolutions for the New Year 2015 be inspired by a poem;  the one below is from Poetry, 2009, found at poetryfoundation.org  -- and you may find more at Split This Rock.

To the voice of the retired warden of Huntsville Prison
(Texas death chamber)                 by Averill Curdy

Until wolf-light I will count my sheep,
       Adumbrated, uncomedic, as they are.
       One is perdu, two, qualm, three
                           Is sprawl, four, too late,

A Fractal Poem

    A fractal is an object that displays self-similarity -- roughly, this means that the parts have the same shape as the whole -- as in the following diagram which shows successive stages in the development of the "box fractal" (from Wolfram MathWorld). 

   
Michigan poet Jack Ridl and I share an alma mater (Pennsylvania's Westminster College) and we recently connected when I found mathematical ideas in the poems in his collection Broken Symmetry  (Wayne State University Press, 2006); from that collection, here is "Fractals" -- offering us a poetic version of self-similar structure:

       Fractals    by Jack Ridl

       On this autumn afternoon, the light  
       falls across the last sentence in a letter,
       just before the last movement of Brahms’ 
       Fourth Symphony, a recording made more 
       than 20 years ago, the time when we were  
       looking for a house to rehabilitate, maybe  

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 

Poetry from the words of Lord Kelvin

Do not imagine that mathematics 

is hard and crabbed, and repulsive 

to common sense. 

It is merely the etherealization

of common sense.

Tomorrow is Halloween

Typing Halloween in this blog's SEARCH Box will lead you to a 2010 posting of "Ghost Stories Written"  -- an algebra-related poem by Charles Simic;  this Poetry Foundation link will lead to a host of other seasonal poems.

Counting into the Future . . .

     Remember that you have only until November 1 to submit a winning "poem of provocation and witness" to the Split This Rock Poetry Contest.  If you don't already,  you will want also to subscribe to Split This Rock's Poem of the Week.  This week's poem ("Past Tense" by Sam Taylor) opens with these numbers:

       In the Great Depression of 2047,
       a time of sorrow rivaled only
       by the Global Unification Wars
       of Spring 2029 to 2033,
       in the Merlona Plague of 2104, 
       in the year of the forest die-off,
       after the atmospheric hue reduction . . . .

From Nude Descending an Empire (University of Pittsburgh Press, 2014).  Apatelodes merlona is a species of moth.

Dimensions of Discovery

Along the one-dimensional straight line
there are points and segments
but no curves or squares.

In the flat plane of two dimensions 

there are points and segments 

and circles and squares.

In the vast space of three dimensions 
there are points and segments 
and squares and spheres.

In a space of four dimensions 

there is more than 

we can imagine.

ABC of statistics

     Songwriter Larry Lesser is a co-organizer (with Gizem Karaali) of a poetry-with-mathematics reading at the Joint Mathematics Meetings in San Antonio next January.  And sometimes Lesser writes poetry.  He has told me that his poem below was in response to an abecedarian poem in a 2006 paper of mine, "Mathematics of Poetry" published in the online journal JOMA -- and available here.

Statistic Acrostic   by Lawrence Mark Lesser and Dennis K. Pearl

     A
     Better
     Confidence:
     Data.
     Expectations
     Fit
     Good.

Martin Gardner collected poems

     Last week the Mathematical Association of America (MAA) had a special program honoring Martin Gardner (1914-2010); tomorrow (October 21) is the 100th anniversary of his birth.   The shelving in the MAA meeting room displayed copies of many of Gardner's approximately one hundred books.  However, none of the books displayed were books of poetry and, indeed, Gardner referred to himself as "an occasional versifier" but not a poet.  Nonetheless he helped to popularize OULIPO techniques in his monthly (1956-81) Scientific American column, "Mathematical Games," and he also was a collector and editor of anthologies, parodies, and annotated versions of familiar poetic works.  Here is a link to his Favorite Poetic Parodies.  And one may find Famous Poems from Bygone Days and The Annotated Casey at the Bat and half a dozen other titles by searching at amazon.com using "martin gardner poetry." 

Poetry Reading 1-11-15 at JMM in San Antonio

You are invited to a poetry reading 
sponsored by the Journal of Humanistic Mathematics

at the 2015 Joint Mathematics Meetings (JMM)

Gonzalez Convention Center   Room 205  San Antonio, Texas
Sunday, January 11, 2015, 5:30 - 7:00 p.m. 

     All poets who write of mathematics and all who are interested in mathematical poetry are invited. Join the gathering to share poems and to enjoy the company of like-minded poetic-math people!  The reading is sponsored by the Journal of Humanistic Mathematics  and will be hosted by Gizem Karaali and Larry Lesser.    
     Although last-minute decisions to participate are possible -- you may simply show up and sign up to read -- we invite and encourage poets to submit poetry (≤ 3 poems, ≤ 5 minutes) and a bio in advance, and, as a result, be listed on our printed program. Inquiries and submissions (by December 1, 2014) may be made to Gizem Karaali (gizem.karaali@pomona.edu).

Taken out of context . . .

Sometimes good lines fit so well into their poems that their individual merits go unrecognized.  And then, taken out of context, they can lead lives of their own.  Here is a start for a collection of such lines.

From Poets.org here are two lines from "Ceriserie" by Joshua Clover:   

       Mathematics: Everyone rolling dice and flinging Fibonacci, going to the opera, counting everything.

       Fire: The number between four and five.

Love Physics

It turns out that one of the disadvantages of a long-term blog with lots of worthy material is that sometimes I lose track of fine work that I want to post.  And sometimes I find it again.  This morning I came across this poem by California conservationist Richard Retecki.

     Love Physics     by Richard Retecki

     equal forces
     oppositely directed
     canceled to zero

     then we tricked you
     exchanging pressure for light 

Can poetry change the climate for frogs?

      Poems affect our spirits as well as our minds. And Split This Rock is looking for poems that protest and witness, world-changing poems.  Go here for information about their Eighth Annual Poetry Contest (with submission deadline November 1, 2014).
     Here in this blog, as I present connections between poetry and mathematics, I provide some poems of protest and advocacy.  I advocate attention to problems of climate change -- to keep our world habitable; I advocate full recognition of women in the sciences -- for a not dissimilar reason.  We must not waste our resources.

Journal of Math in the Arts features Poetry

A special issue of the Journal of Mathematics and the Arts entitled "Poetry and Mathematics" is now available online at this link.  An introduction by guest editor Sarah Glaz is available (for free download) here.   In this opening piece, one of the items that Glaz includes is her own translation of a math-puzzle poem from Bhaskara's (1114-1185) Lilavati that is charming.  I offer it here:
 
       Ten times the square root of a flock
       of geese, seeing the clouds collect,
       flew towards lake Manasa, one-eighth
       took off for the Sthalapadmini forest.
       But unconcerned, three couples frolicked
       in the water amongst a multitude of
       lotus flowers. Please tell, sweet girl,
       how many geese were in the flock.

Clearing the Air with a Poem

     Every poem has a climate -- a collection of emotional tones that overlay and underlay its words. Today -- as the U.N. meets in NY to discuss the future climate of our planet -- I have been looking for mathy poems with a climate of advocacy, verses that let the world know that we must, soon and vigorously, take action to keep our earth habitable.
      One of the things I found is a poem (involving a couple of numbers and mathy words) by Simon Armitage that is printed on material that cleanses the air around it by absorbing pollutants.  A small photo from the website of Sheffield University is shown below -- and I urge you to follow the Sheffield link for the story of the poem and this link to see the full poem more clearly and the story behind it.  Here is Armitage's opening stanza. 

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?

Remembering Lee Lorch

      Lee Lorch was a mathematician known for his social activism on behalf of black Americans as well as for his mathematics. He died in February of this year in Toronto, at age 98.  A life-long communist and a life-long crusader.  Last Thursday I attended a memorial service  (organized by Joe Auslander, a poetry-lover who one day had introduced me to the work of Frank Dux) for Lorch -- sponsored by the Mathematical Association for America and held at the MAA Carriage House in Washington, DC.  Friends and colleagues of Lorch spoke of his positive energy and the ways that he had enriched the lives of students and colleagues, of friends and strangers.  One of the speakers, Linda Braddy, a staff member of the Mathematical Association of America (MAA), did not talk about Lorch but about strategies for opening mathematical doors (as he had done) to new students. 

Hailstone numbers shape a poem

     One of my favorite mathy poets is Halifax mathematician Robert Dawson -- his work is complex and inventive, and fun to puzzle over.  Dawson's webpage at St Mary's University lists his mathematical activity; his poetry and fiction are available in several issues of the Journal of Humanistic Mathematics and in several postings for this blog (15 April 2012,  30 November 2013, 2 March 2014) and in various other locations findable by Google.
      Can a poem be written by following a formula?  Despite the tendency of most of us to say NO to this question we also may admit to the fact that a formula applied to words can lead to arrangements and thoughts not possible for us who write from our own learning and experiences.  How else to be REALLY NEW but to try a new method? Set a chimpanzee at a typewriter or apply a mathematical formula.
     Below we offer Dawson's "Hailstone" and follow it with his explanation of how mathematics shaped the poem from its origin as a "found passage" from the beginning of Dickens' Great Expectations.

Hypertext poetry

     We computer-screen readers all know hypertext; when we read along in Wikipedia or some other online document and come across an underlined term whose font color is light blue -- at such a point we may decide to keep on reading as if we had not noticed the light blue "hyperlink," or we may locate our cursor on that text, click our mouse, and link to a new screen of visual information.
     My first encounter with hypertext poetry was the work of Stephanie Strickland -- in her 1999 love poem, "The Ballad of Sand and Harry Soot," available at this link.  If you, however, are someone who is not yet comfortably familiar with hypertext poetry, I invite you to gain some experience with hyperlinked reading via a prose essay -- reading it first as a traditional essay and then exploring ways that hypertext can vary the experience of reading.

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"