At Victoria University in Melbourne, novelist, playwright and poet Tom Petsinis also teaches mathematics. He participated in the 2016 Bridges Math-Arts Conference in Finland this summer: here are two of his poems from the 2016 Bridges Poetry Anthology -- and each of them plays with mathematical ideas in new and thoughtful (sometimes amusing) ways. "Zeno's Paradox" follows this initial poem. (Names and links for other anthology poets are given below.)
Division by Zero by Tom Petsinis
She could’ve been our grandmother
Warning us of poisonous mushrooms ‒
To stress her point she'd scratch
The taboo bold with crimson chalk.
It should never be used to divide,
Or we'd be howled from lined yard
To pit where cruel paradoxes ruled.
Her warnings tempted us even more:
Young, growing full in confidence,
We’d prove the impossible for fun ‒
Nothing she said could restrain us
From showing two is equal to one.
Friday, September 9, 2016
Tuesday, September 6, 2016
A counting rhyme, a riddle
During the summer I had lots of activities with grandchildren -- they all love to read and one of the books we enjoyed together was Counting Rhymes (selected by Shona McKellar, a Dorling Kindersley book, 1993). Here are a rhyme and a riddle from that collection.
Let's Send a Rocket by Kit Patrickson
TEN, NINE, EIGHT, We're counting each second,
SEVEN, SIX, FIVE . . . And soon it will boom!
We'll send up a rocket, Get ready for . . . TWO;
And it will be LIVE . Get ready to go . . .
FIVE, FOUR, THREE . . . It's TWO--and it's--ONE!
It's ready to zoom! We're OFF! It's ZERO!
Four stiff-standers,
Four dilly-danders,
Two lookers,
Two crookers,
And a wig-wag.
Let's Send a Rocket by Kit Patrickson
TEN, NINE, EIGHT, We're counting each second,
SEVEN, SIX, FIVE . . . And soon it will boom!
We'll send up a rocket, Get ready for . . . TWO;
And it will be LIVE . Get ready to go . . .
FIVE, FOUR, THREE . . . It's TWO--and it's--ONE!
It's ready to zoom! We're OFF! It's ZERO!
RIDDLE -- What animal do these clues describe?
Four dilly-danders,
Two lookers,
Two crookers,
And a wig-wag.
Labels:
counting rhyme,
Kit Patrickson,
riddle,
Shona McKellar
Wednesday, August 31, 2016
Twelveness -- a Fibonacci poem from G4G
Science writer, philosopher, and skeptic Martin Gardner (1914-2010) is perhaps best known for his long-running Scientific American column, "Mathematical Games." His life and work are celebrated by G4G conferences ("Gatherings for Gardner") held in even-numbered years in Atlanta. Here fans gather and present fun-mathematics to each other.
A several-time participant in G4G is Kate Jones of Kadon Enterprises, an organization devoted to the development and distribution of Game Puzzles. Below in a Fibonacci poem created for the 2016 G4G Jones tells the history of her game-puzzle enterprise.
TWELVENESS by Kate Jones
1 Martin
1 Gardner
2 Long ago
3 Wrote about pentominoes,
5 Brainchild of young Solomon Golomb,
8 The coolest recmath set in all the world.
A several-time participant in G4G is Kate Jones of Kadon Enterprises, an organization devoted to the development and distribution of Game Puzzles. Below in a Fibonacci poem created for the 2016 G4G Jones tells the history of her game-puzzle enterprise.
Many Fibonacci poems use the Fibonacci number sequence
to determine the numbers of syllables in successive lines of a poem.
In the following poem, it is the numbers of words that are counted.
A pentomino is a plane geometric figure formed by joining five equal squares edge to edge.
There are twelve differently-shaped pentominos; this number gives the title of Jones's poem.
A pentomino is a plane geometric figure formed by joining five equal squares edge to edge.
There are twelve differently-shaped pentominos; this number gives the title of Jones's poem.
TWELVENESS by Kate Jones
1 Martin
1 Gardner
2 Long ago
3 Wrote about pentominoes,
5 Brainchild of young Solomon Golomb,
8 The coolest recmath set in all the world.
Labels:
Fibonacci,
Kate Jones,
Martin Gardner,
pentomino
Monday, August 29, 2016
Math-play via verse (with George Darley)
A recent email from Colm Mulcahy -- who seeks out all things Irish -- alerted me to Dublin poet and math-text author, George Darley (1795-1846), and an online archived collection of his poems. Colm's email had opened the collection to pages 70-71 and there I found -- and had fun reading -- this poem that plays with math.
A Poetical Problem. by George Darley
Once on a time, at evening hour,
A sweet, and dewy-bosom'd Flower
Was cradling up to rest ;
A Pilgrim, wandering near her bed,
Raised, with his staff, her drooping head,
And thus the Flower addrest :
"From matin-rise to moonlight hour,
Tell me, my pearly-crested Flower,
How many a lucid gem
Hath left the high, cavernal air,
To form upon thy queenly hair
A rainbow diadem?"
A Poetical Problem. by George Darley
Once on a time, at evening hour,
A sweet, and dewy-bosom'd Flower
Was cradling up to rest ;
A Pilgrim, wandering near her bed,
Raised, with his staff, her drooping head,
And thus the Flower addrest :
"From matin-rise to moonlight hour,
Tell me, my pearly-crested Flower,
How many a lucid gem
Hath left the high, cavernal air,
To form upon thy queenly hair
A rainbow diadem?"
Thursday, August 25, 2016
Numbers and Faces - poem, anthology
"Numbers and Faces" is the title of a poem by W. H. Auden that ends with these lines:
True, between faces almost any number
Might come in handy, and One is always real;
But which could any face call good, for calling
Infinity a number does not make it one.
"Numbers and Faces" is also the title of a small anthology of poems, published in 2001 and containing Auden's poem, that I collected and edited for the Humanistic Mathematics Network. The anthology has been out of print for many years but a file with its mathy poems is available online here.
The Humanistic Mathematics Network (started around 1987 by Alvin White) had a Newsletter and then a Journal but these paper publications faded away around 2004. The Journal of Humanistic Mathematics emerged in 2011 to fill the void. Recently I have learned from JHM editor Gizem Karaali, that an online archive of the prior publications is available here. (Using the search box, I was able to find several of my own years-ago articles, including one from 1994 entitled "Mathematics in Literature and Poetry.")
True, between faces almost any number
Might come in handy, and One is always real;
But which could any face call good, for calling
Infinity a number does not make it one.
The complete poem is posted here.
"Numbers and Faces" is also the title of a small anthology of poems, published in 2001 and containing Auden's poem, that I collected and edited for the Humanistic Mathematics Network. The anthology has been out of print for many years but a file with its mathy poems is available online here.
The Humanistic Mathematics Network (started around 1987 by Alvin White) had a Newsletter and then a Journal but these paper publications faded away around 2004. The Journal of Humanistic Mathematics emerged in 2011 to fill the void. Recently I have learned from JHM editor Gizem Karaali, that an online archive of the prior publications is available here. (Using the search box, I was able to find several of my own years-ago articles, including one from 1994 entitled "Mathematics in Literature and Poetry.")
Monday, August 22, 2016
Math-poetry connects with Carol Burnett
When I began teaching mathematics my students compared me -- to my delight -- with Carol Burnett. Recent thoughts of this amazing comedian have led me to Kevin Spacey's poem, "Carol" that he composed and read (imitating poet and actor Jimmy Stewart) to honor Burnett. I share with Jimmy Stewart the hometown of Indiana, PA and I reconnected with memories of Carol Burnett this past weekend via NPR's "Wait Wait . . . Don't Tell Me." Here is the text of Spacey's 14-line poem:
Carol Burnett is a wonderful gal
She always makes me laugh somehow
All she has to do is put on that silly grin
And I get this funny feeling all over my chin
Carol Burnett is a wonderful gal
She always makes me laugh somehow
All she has to do is put on that silly grin
And I get this funny feeling all over my chin
Labels:
Carol Burnett,
Indiana,
Jimmy Stewart,
Kevin Spacey,
NPR
Wednesday, August 17, 2016
Swim, Girl, Swim -- thirty-five miles
Today's poem uses a single number (35) as it celebrates Gertrude Ederle (1905-2003), an Olympic (1924) swimmer and (in 1926) English Channel crosser -- also, I notice, someone whose Wikipedia entry needs more work. This poem honoring Ederle -- by a Children's Poet Laureate, J. Patrick Lewis -- I found at PoetryFoundation.org.
As the 2016 Olympics take place now in Rio, many of the stories feature outstanding female athletes -- and it has not gone unnoticed that male competitors are simply "athletes" whereas Olympic women are "female" athletes. Is this unconscious bias? It is similar to the way a mathematician who is a woman is detractingly described as "a female mathematician."
Swim, Girl, Swim by J. Patrick Lewis
for Gertrude Ederle
As Europe woke from sleep,
Young Trudy Ederle
At Cap Gris Nez in France
Dived into a daunting sea.
As the 2016 Olympics take place now in Rio, many of the stories feature outstanding female athletes -- and it has not gone unnoticed that male competitors are simply "athletes" whereas Olympic women are "female" athletes. Is this unconscious bias? It is similar to the way a mathematician who is a woman is detractingly described as "a female mathematician."
Celebrate Gertrude Ederle! Celebrate swimmers!
Swim, Girl, Swim by J. Patrick Lewis
for Gertrude Ederle
As Europe woke from sleep,
Young Trudy Ederle
At Cap Gris Nez in France
Dived into a daunting sea.
Labels:
English Channel,
Gertrude Ederle,
J. Patrick Lewis,
Olympics
Monday, August 15, 2016
Find math-poetry links in BRIDGES archives
As noted in last week's posts, the annual international math-arts festival, BRIDGES, recently was held in Finland. Now the archives of papers presented there are available at this link.
One of the programs related to poetry was a workshop by poet Tom Petsinis of Melbourne, “Mathematics Through the Matrix of Poetry,” archived here.
Using the SEARCH box (beneath the list of years in the left column) and entering the term “poem” led me to a total of 28 hits. Explore! Enjoy!!
One of the programs related to poetry was a workshop by poet Tom Petsinis of Melbourne, “Mathematics Through the Matrix of Poetry,” archived here.
Past BRIDGES conferences have also included
a variety of poetry-math connections.
For example, in 2015, "Composing Mathematical Poetry" by Carol Dorf,
“Visualizing Rhyme Patterns in Sonnet Sequences” by Hartmut F. W. Hoft,
and a few remarks from me, “Inspire Math-Girls-Women (perhaps with poems)”.
a variety of poetry-math connections.
For example, in 2015, "Composing Mathematical Poetry" by Carol Dorf,
“Visualizing Rhyme Patterns in Sonnet Sequences” by Hartmut F. W. Hoft,
and a few remarks from me, “Inspire Math-Girls-Women (perhaps with poems)”.
Using the SEARCH box (beneath the list of years in the left column) and entering the term “poem” led me to a total of 28 hits. Explore! Enjoy!!
Thursday, August 11, 2016
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
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
Labels:
Bridges,
F. J. Craveiro de Carvalho,
Katharine O'Brien,
Newton,
Pessoa
Monday, August 8, 2016
Words -- and Meanings -- and BRIDGES, 2016
Tomorrow the 2016 BRIDGES Conference (which celebrates the connections between mathematics and the arts) will open at the University of Jyväskylä in Jyväskylä, Finland. Helping the conference to celebrate poetry will be Sarah Glaz, who has organized a poetry reading for the afternoon of August 12 and prepared a poetry collection that anthologizes poets who have been BRIDGES participants. Here is a one of my favorite poems from the collection -- by Maryland poet Deanna Nikaido who, alas (and like me), will not be able to attend the conference.
Trouble with Word Problems by Deanna Nikaido
Once asked to solve the arrival time of two trains
traveling at different speeds
toward the same destination—I failed.
Mathlexia my friend said.
Trouble with Word Problems by Deanna Nikaido
Once asked to solve the arrival time of two trains
traveling at different speeds
toward the same destination—I failed.
Mathlexia my friend said.
Labels:
Bridges,
Deanna Nikaido,
Robert Fathauer,
Sarah Glaz
Thursday, August 4, 2016
POETRY -- in the Journal of Humanistic Mathematics
Pomona College mathematician Gizem Karaali, one of the editors of the online Journal of Humanistic Mathematics, is also a poet. And the journal conscientiously features links between mathematics and the literary arts.
The current issue (online since late July) features my review of Madhur Anand's vibrant new collection, A New Index for Predicting Catastrophes (Penguin Random House, 2015) and these poems:
The current issue (online since late July) features my review of Madhur Anand's vibrant new collection, A New Index for Predicting Catastrophes (Penguin Random House, 2015) and these poems:
"The Greatest Integer Function" by Alanna Rae,
"Quantitative Literacy" by Thomas L. Moore,
"Menger Sponge" by E. Laura Golberg,
"Calculus Problems" by Joshua N. Cooper, and
"An Exercise on Limits" by Manya Raman-Sundström.
Sunday, July 31, 2016
Loving the difference quotient ... and more ...
From Philadelphia poet-mathematician, Marion Cohen, a new collection -- Closer to Dying (Word Tech, 2016). When I received the book a few days ago and began to read I did, of course, seek out mathy poems. Two of these are included below. In this first poem Cohen has some fun with the terms and symbols of introductory calculus. In the second, she tells of an encounter of the sort that happens to many mathematicians -- meeting someone who supposes that mathematicians do what calculators do. (This link leads to a collection of mathy poems (including ones by Cohen) at talkingwriting,com.)
Monday, July 25, 2016
Homage to Godel
From Erica Jolly, an Australian poet and online friend, I have learned of a fine anthology of science poems -- A Quark for Mister Mark: 101 Poems about Science, edited by Maurice Riordan and Jon Turney (Faber and Faber, 2000). A poem in that collection that was new to me -- and one I like a lot -- is "Homage to Gödel" by German poet Hans Magnus Enzensberger; I offer it below. This link leads to a thoughtful review (by Richard Dove) of Enzensberger's poetry -- one of Dove's observations is that thought processes fascinate Enzenberger; "Homage to Gödel" illustrates that fascination.
Homage to Gödel by Hans Magnus Enzensberger
'Pull yourself out of the mire
by your own hair': Münchhausen's theorem
is charming, but do not forget:
the Baron was a great liar.
Homage to Gödel by Hans Magnus Enzensberger
(translated from German by the poet)
'Pull yourself out of the mire
by your own hair': Münchhausen's theorem
is charming, but do not forget:
the Baron was a great liar.
Labels:
Hans Magnus Enzensberger,
Kurt Godel,
system,
theorem
Thursday, July 21, 2016
One thing leads to another -- "Do the Math"
I offer poetry workshops for Peer Wellness and Recovery Services -- and PWRS coordinator Miriam Yarmolinsky invited me to go with her to the very fine DC Fringe Festival event featuring Leah Harris -- and Leah is also a poet whose work I found in the anthology Word Warriors: 35 Women Leaders in the Spoken Word Revolution -- where I also found "Do the Math" -- a crowd-pleaser by a 2002 slam champion Meliza Bañales -- available here on YouTube and included below. Enjoy!
Do the Math by Meliza Bañales
The equation goes something like this:
one white mother plus one brown father divided by two
different worlds
equals a daughter.
Do the Math by Meliza Bañales
The equation goes something like this:
one white mother plus one brown father divided by two
different worlds
equals a daughter.
Labels:
equation,
Leah Harris,
math,
Meliza Banales,
Miriam Yarmolinsky,
PWRS,
slam
Tuesday, July 19, 2016
A number tells the story -- in these Haiku
One of my neighbors, Carol, has been cleaning out bookshelves and offered me her old copy of Gary Snyder's collection, The Back Country (New Directions, 1971) -- and in it I have found four pages of "Hitch Haiku." Three of these little poems each depend on a number -- and I offer them below.
A truck went by
three hours ago:
Smoke Creek desert
dumpt off the fantail
falling six miles
Stray white mare
neck rope dangling
forty miles from farms.
A truck went by
three hours ago:
Smoke Creek desert
Over the Mindano Deep
Scrap brassdumpt off the fantail
falling six miles
Stray white mare
neck rope dangling
forty miles from farms.
Monday, July 18, 2016
String Theory
String Theory is a theoretical framework that attempts to explain, among other things, quantum gravity. Its basic elements are open and closed strings -- rather than point-like particles. The poem "String Theory" by Ronald Wallace offers imaginative and thoughtful interplay between these strings of theoretical physics and the strings of musical instruments -- I found the poem at the VerseDaily website and Wallace has given me permission to use it here.
String Theory by Ronald Wallace
I have to believe a Beethoven
string quartet is not unlike
the elliptical music of gossip:
one violin excited
to pass its small story along
String Theory by Ronald Wallace
I have to believe a Beethoven
string quartet is not unlike
the elliptical music of gossip:
one violin excited
to pass its small story along
Labels:
gravity,
Ronald Wallace,
Sarah Glaz,
Strange Attractors,
string theory
Tuesday, July 12, 2016
Continue to celebrate Szymborska
If you are a frequent visitor to this blog, you know that Polish Nobelist (1996) Wislawa Szymborska (1923-2012) is one of my favorite poets. My Romanian friend Doru Radu, who now lives in Poland, visited New York recently and during my visit with him there he surprised me with a gift -- a posthumous bilingual Szymborska collection, Enough (Wydawnictwo a5, translated by Clare Cavanagh). Here is the English version of a small poem with numbers from that collection:
Hand
Twenty seven bones,
thirty five muscles,
around two thousand nerve cells
in every tip of all five fingers.
It's more than enough
to write "Mein Kampf"
or "Pooh Corner."
Links to additional postings of Szymborska's work may be found here.
Remember also to visit the wonderful Spring 2016 issue of TalkingWriting -- with its smorgasbord of mathy poems.
Hand
Twenty seven bones,
thirty five muscles,
around two thousand nerve cells
in every tip of all five fingers.
It's more than enough
to write "Mein Kampf"
or "Pooh Corner."
Links to additional postings of Szymborska's work may be found here.
Remember also to visit the wonderful Spring 2016 issue of TalkingWriting -- with its smorgasbord of mathy poems.
Labels:
Clare Cavanagh,
Doru Radu,
Nobel Prize,
Pooh Corner,
Wislawa Szymborska
Thursday, July 7, 2016
Remembering Reza Sarhangi
In 1998 at Southwestern College in Winfield, KS an Iranian mathematician, Reza Sarhangi, organized the first of a series of annual Bridges conferences that celebrate the intersection of mathematics and the arts. On July 1, 2016, this vital mathematician-artist passed away. Many will celebrate the life of this warm and generous and talented man.
where you can learn a bit about Reza Sarhangi and about this year's conference in Finland.
Here is a link to an article by Sarhangi on Persian art -- indeed, it includes a poem.
Sarhangi was at the time of his death, a professor at Towson University.
Here is a link to his informative Towson webpage which I hope the university will keep alive.
Tuesday, July 5, 2016
What Math Teachers Do
They ignore me. I
raise my hand -- wave it
to ask questions, to
offer answers -- but
they call on the boys.
raise my hand -- wave it
to ask questions, to
offer answers -- but
they call on the boys.
A 5x5 syllable-square of protest, from JoAnne Growney
Wednesday, June 29, 2016
Revolutions and singularities
Early in June it was my privilege to hear poet Lesley Wheeler read as part of the Joaquin Miller Poetry Series on summer Sundays in Washington, DC's Rock Creek Park. Lesley read from her wonderful 2015 collection, Radioland, in which I found this mathy sonnet, a poem of twists and singularities and rich with double meanings:
Concentric Grooves, 1983 by Lesley Wheeler
Every whorl in the floorboard spins clockwise,
the grain widening round the stain, a stream
of years circling a burn-brown knot. Strum
and crackly gap. Music drowns a wheeze
Concentric Grooves, 1983 by Lesley Wheeler
Every whorl in the floorboard spins clockwise,
the grain widening round the stain, a stream
of years circling a burn-brown knot. Strum
and crackly gap. Music drowns a wheeze
Sunday, June 26, 2016
Important online sources for mathy poems
Every issue of the Journal of Humanistic Mathematics contains poetry.
The Spring 2016 issue of TalkingWriting has more than a score of mathy poems.
This blog has offered math-linked poetry online since 2010, now with over 800 posts. Scroll down to browse OR use the SEARCH box to look for poems with a particular mathematical image. The lower right-hand-column offers key-words that can be useful search terms.
Friday, June 24, 2016
Exponential power
From this week's New Yorker (June 27, 2016) from a poem by Maya Ribault entitled "Society of Butterflies" this mathy statement:
. . . I save
for retirement—to my bohemian eyes,
a fortune—though they say you need more
than a million. Immerse yourself in the exponential
power of dividends. . . .
Read the entire poem here.
. . . I save
for retirement—to my bohemian eyes,
a fortune—though they say you need more
than a million. Immerse yourself in the exponential
power of dividends. . . .
Read the entire poem here.
Labels:
dividend,
exponential,
Maya Ribault,
New Yorker,
power
Thursday, June 23, 2016
A sonnet with numbers
Sonnet: Now I see them by Michael Palmer
Now I see them sitting me before a mirror.
There’s noise and laughter. Somebody
mentions that hearing is silver
before we move on to Table One
with the random numbers. I look down
a long street containing numbers.
Now I see them sitting me before a mirror.
There’s noise and laughter. Somebody
mentions that hearing is silver
before we move on to Table One
with the random numbers. I look down
a long street containing numbers.
Monday, June 20, 2016
Wanting things proportional . . .
Here is a reflective poem by San Diego poet Ben Doller (found also at Poets.org and included here with permission of the poet).
Proportion by Ben Doller
Just want things
proportional.
Just things,
not all.
Not kings, kings
should be below:
Proportion by Ben Doller
Just want things
proportional.
Just things,
not all.
Not kings, kings
should be below:
Thursday, June 16, 2016
Women occupy mathematics
Poems thrive on imagery created from specific (rather than vague) details -- and numbers and other math terms are very specific! Below I present several samples of mathematical imagery in poems from an excellent and important recent anthology Raising Lilly Ledbetter: Women Poets Occupy the Workspace.
Here are the opening lines of "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."
And the opening lines of "The Typist" by Barbara Drake:
I made 87 1/2 cents an hour typing,
when I was a college student.
Here are the opening lines of "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."
And the opening lines of "The Typist" by Barbara Drake:
I made 87 1/2 cents an hour typing,
when I was a college student.
Monday, June 13, 2016
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.
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.
Thursday, June 9, 2016
Symbols shape our thoughts
In mathematics -- as in spoken languages -- we have learned to use symbols to shape our thoughts. Pioneering artist Marcel Duchamp (1887-1968) carefully expresses this important idea in terms of chess.
“The chess pieces are the block alphabet
which shapes thoughts; and these thoughts, although
making a visual design on the chess-board,
express their beauty abstractly, like a poem...
I have come to the personal conclusion
that while all artists are not chess players,
all chess players are artists.”
During these days of celebration of the life of Muhammad Ali (1942-2016) I have refreshed my memory of his notable quotes (many of which are found here). Here is one with some numbers:
“The chess pieces are the block alphabet
which shapes thoughts; and these thoughts, although
making a visual design on the chess-board,
express their beauty abstractly, like a poem...
I have come to the personal conclusion
that while all artists are not chess players,
all chess players are artists.”
―Marcel Duchamp
This and other stimulating statements from Duchamp are available here.
During these days of celebration of the life of Muhammad Ali (1942-2016) I have refreshed my memory of his notable quotes (many of which are found here). Here is one with some numbers:
A man who views the world
the same at 50
as he did at 20
has wasted 30 years of his life.
Labels:
alphabet,
artist,
chess,
Marcel Duchamp,
Muhammad Ali
Monday, June 6, 2016
A poem, a contradiction . . .
One strategy for proving a mathematical theorem is a "proof by contradiction." In such a proof one begins by supposing the opposite of what is to be proved -- and then reasons logically to obtain a statement that contradicts a known truth. This contradiction verifies that our opposite-assumption was wrong and that our original statement-to-be-proved is indeed correct. (An easily-read introduction to "proof-by-contradiction" is given here.)
Peggy Shumaker is an Alaskan poet whom I had the pleasure of meeting at a reading at Bloomsburg University where I was a math professor a few years ago. Her poem, "What to Count On," below, has a beautiful surprise after a sequence of negations -- and reminds me of the structure of a proof-by-contradiction.
What to Count On by Peggy Shumaker
Not one star, not even the half moon
on the night you were born
Not the flash of salmon
nor ridges on blue snow
Not the flicker of raven’s
never-still eye
Peggy Shumaker is an Alaskan poet whom I had the pleasure of meeting at a reading at Bloomsburg University where I was a math professor a few years ago. Her poem, "What to Count On," below, has a beautiful surprise after a sequence of negations -- and reminds me of the structure of a proof-by-contradiction.
What to Count On by Peggy Shumaker
Not one star, not even the half moon
on the night you were born
Not the flash of salmon
nor ridges on blue snow
Not the flicker of raven’s
never-still eye
Labels:
Alaska,
arc,
contradiction,
count,
Peggy Shumaker,
proof
Tuesday, May 31, 2016
Aesop's fables in verse ... the price of greed ...
The farmhouse* in which I grew up had a room we called "The Library" because of its small bookshelf with my father's books -- including selections from Kipling and Twain and Aesop's Fables. I liked to read. And a lot of the morals are now stored in my head. Recently I have found and enjoyed poetry versions of some of these in Jean de La Fontaine's Selected Fables (Dover, 2000) -- see also Project Gutenberg. Here is one about the mathematics of greed ... .
The Hen with the Golden Eggs by Jean de La Fontaine (1621-1695)
An olden maxim, which expresses
How Avarice, in search of gain,
May lose the hoard that it possesses.
The Hen with the Golden Eggs by Jean de La Fontaine (1621-1695)
translated by Walter Thornbury
My little story will explainAn olden maxim, which expresses
How Avarice, in search of gain,
May lose the hoard that it possesses.
Labels:
Aesop,
fable,
greed,
Jean de La Fontaine,
Walter Thornbury
Thursday, May 26, 2016
Mathy poems OUT LOUD
Here is a link to "Applied Mathematics" written and recited by London poet Dan Simpson. This link leads to several math-arts samples (including two poems -- the first is by Gizem Karaali and you may scroll down to hear my poem, "A Taste of Mathematics") recorded by Samuel Hansen. (The complete text of "A Taste of Mathematics" is available here.) This link connects to information about a 2014 YouTube video featuring a varied list of mathy poets.
Labels:
Dan Simpson,
Gizem Karali,
JoAnne Growney,
Samuel Hansen,
YouTube
Tuesday, May 24, 2016
The Man Who Knew Infinity
A few days ago I followed a broken link on the Poetry Foundation website and the site offered me this cryptic quatrain by American poet J. V. Cunningham (1911-1985) -- it is the final stanza of a poem I have posted here.
Error is boundless.
Nor hope nor doubt,
Though both be groundless,
Will average out.
– J.V. Cunningham, from “Meditation on Statistical Method”
Often on my mind these recent days has been the film I saw last week -- "The Man Who Knew Infinity" -- and I invite you to follow these links to poetry concerning its central characters, mathematicians Srinivasa Ramanujan (1887-1920) and G. H. Hardy (1877-1947).
Error is boundless.
Nor hope nor doubt,
Though both be groundless,
Will average out.
– J.V. Cunningham, from “Meditation on Statistical Method”
Often on my mind these recent days has been the film I saw last week -- "The Man Who Knew Infinity" -- and I invite you to follow these links to poetry concerning its central characters, mathematicians Srinivasa Ramanujan (1887-1920) and G. H. Hardy (1877-1947).
Labels:
G H Hardy,
J.V. Cunningham,
Srinivasa Ramanujan
Friday, May 20, 2016
In Wyalusing, counting pelicans
The number in the title of Robin Chapman's poem first attracted me to it and the mention of Wyalusing in the first line drew me further in -- for Wyalusing is the name of a small town in northeastern Pennsylvania (a region in which I lived and taught -- at Bloomsburg University -- for many years). But, of course, Google was able to tell me of another Wyalusing, a park in Wisconsin, home state of the poet, and a place advertised as having plentiful bird-watching. Enjoy:
One Hundred White Pelicans by Robin Chapman
Over Wyalusing, riding thermals, they shine
and disappear, vanish like thought,
re-emerge stacked, stretched,
a drifting fireworks' burst.
One Hundred White Pelicans by Robin Chapman
Over Wyalusing, riding thermals, they shine
and disappear, vanish like thought,
re-emerge stacked, stretched,
a drifting fireworks' burst.
Wednesday, May 18, 2016
A math problem or a word problem?
One of my recent poetry-finds has been the anthology Regreen: New Canadian Ecological Poetry, edited by Madhur Anand and Adam Dickinson (Scrivener Press, 2009) and in it some small mentions of mathematics. The following poem by artist and poet Erin Robinsong considers things big and small -- and observes some paradoxes. Is math the puzzle or the explanation or . . .?
SEED : CEDE by Erin Robinsong
Looking into the peach-pit, we find a vast spaciousness, as if actually looking into a pit –
A math problem:
A peach pit is weighed against
the year’s yield plus the tree:
30 g, 900 kg.
Which weighs more?
SEED : CEDE by Erin Robinsong
Looking into the peach-pit, we find a vast spaciousness, as if actually looking into a pit –
A math problem:
A peach pit is weighed against
the year’s yield plus the tree:
30 g, 900 kg.
Which weighs more?
Labels:
Adam Dickinson,
ecology,
Erin Robinsong,
Madhur Anand,
paradox,
Regreen
Monday, May 16, 2016
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,
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,
Labels:
circle,
impossible,
Philip Fried,
POETRY App,
square
Tuesday, May 10, 2016
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.
Labels:
6,
clown,
Colm Mulcahy,
perfect,
Sarah Glaz,
square
Friday, May 6, 2016
Poems that count: Eight Buffalo
In mid-April at the Split This Rock Poetry Festival, one of the sessions I attended and valued had the title " "Eco-Feminist Poetry, Intersectionality, & the End of the Earth." In the midst of my concern about ecology and women is my addiction to mathematics -- and a poem by Cecilia Llompart started me counting. See if you, too, count the word "buffalo" eight times during this poem; and shudder when you read the final word.
Eight Buffalo by Cecilia Llompart
An obstinacy of buffalo
is not to say that the buffalo
are stubborn. No, not like
a grass stain. More that
the very bulk of one—
Eight Buffalo by Cecilia Llompart
An obstinacy of buffalo
is not to say that the buffalo
are stubborn. No, not like
a grass stain. More that
the very bulk of one—
Labels:
buffalo,
Cecilia Llompart,
count,
ecology,
eight,
feminist,
Split This Rock
Tuesday, May 3, 2016
Can you multiply with Roman numerals?
Canadian writer Siobhan Roberts (whom I know from BIRS workshops) has a recent New Yorker article that celebrates the 100th birthday and achievements of Claude Shannon (1916 -2001) -- often referred to as "the father of the information age." Most of the important information in that article I leave for you to read for yourself, but I call to your attention to one of Shannon's accomplishments featured therein -- Claude Shannon built a machine for doing arithmetic with Roman numerals. This connects to poetry via a poem by Ron Padgett, below.
The Roman Numerals by Ron Padgett
It must have been hard
for the Romans to multiply
—I don’t mean reproduce,
but to do that computation.
The Roman numeral system has largely been abandoned
because arithmetic is less cumbersome with a place-value system.
Here is a link to a site that exhibits procedures for Roman numeral arithmetic.
The Roman Numerals by Ron Padgett
It must have been hard
for the Romans to multiply
—I don’t mean reproduce,
but to do that computation.
Labels:
arithmetic,
BIRS,
Claude Shannon,
computation,
Roman numerals,
Ron Padgett,
Siobhan Roberts
Thursday, April 28, 2016
Talking-Writing offers Math Poems
In recent weeks, the online journal Talking-Writing has been featuring math poems and last Monday they posted my "Skagway Study" -- which follows a style explored in one of my favorite poems by Wislawa Szymborska.
Carol Dorf, poetry editor of Talking-Writing, is a math teacher as well as a poet and her work as well as those of others with math interest are explored in "Wild Equations," the Spring 2016 Issue of Talking-Writing. Here are some links:
Bays with a Stream and Another Both Flowing
All Through Them along Enfolded Paths)"
Earlier this week in an American Mathematical Society blog posting entitled "Math and Verbal Gymnastics," Duquesne University mathematician Anna Haensch also celebrated the join of mathematics and poetry.
Carol Dorf, poetry editor of Talking-Writing, is a math teacher as well as a poet and her work as well as those of others with math interest are explored in "Wild Equations," the Spring 2016 Issue of Talking-Writing. Here are some links:
By Giavanna Munafo
"Twenty-Four Hours"
By JoAnne Growney "Skagway Study"
By Alice Major
"Euclid's Iron Hand" and "Bird Singularities"
By Amy Uyematsu "Three Quick Studies of Math-Art"
By Carol Dorf "Action Potential" and "e"
By Eveline Pye "Celestial Navigation," "Three," and "The Law of Statistics"
By Larry Lesser "Margins"
By Katie Manning "28, 065 Nights" and "Week by Week" (Fibonacci poem)
By Stephanie Strickland
"Doomed calculations which God acknowledged
Islands (Invaginated by SaltwaterBays with a Stream and Another Both Flowing
All Through Them along Enfolded Paths)"
Earlier this week in an American Mathematical Society blog posting entitled "Math and Verbal Gymnastics," Duquesne University mathematician Anna Haensch also celebrated the join of mathematics and poetry.
Monday, April 25, 2016
"The Mathematician"
Here is a selection from "The Mathematician," a long poem -- found in its entirety in The Rumpus -- by Oregon poet Carl Adamshick and recommended to me by poet R Joyce Heon -- for a sample of her ekphrastic poems, follow this link and go to pages 37-42. And this link leads to more poems (in this blog) starring mathematicians --- and a few of them are women!!
from The Mathematician by Carl Adamshick
What I do is calculate.
I’ve always seen the world as numbers,
buildings and trees factors,
math as a language better suited for explaining
how things work
than the formula of grammar.
from The Mathematician by Carl Adamshick
What I do is calculate.
I’ve always seen the world as numbers,
buildings and trees factors,
math as a language better suited for explaining
how things work
than the formula of grammar.
Thursday, April 21, 2016
Women in Mathematics Count!
The theme for 2016 Mathematics Awareness Month is "The Future of Prediction." And today I am wondering what date can be predicted for when the achievements of women in mathematics will be recognized with the same awareness as those of men.
How many female mathematicians can you name?
Here are links to two articles to to help you lengthen your list of math-women: "12 Brilliant Female Mathematicians You Should Know" -- an article by Olivia Harrison whose list starts with Hypatia (who lived around 400 AD) and continues to the 21st century, featuring Maryam Mirzakhani, an Iranian mathematician at Stanford who in 2014 won the prestigious Fields Medal for her work related to the symmetry of curved surfaces. Judy Green adds important names in her article "How Many Women Mathematicians Can You Name?"For still more, visit my 2015 post "The culture for women in math and the sciences"; additionally, a search of this blog using "math women" will lead to a host of names and links. Enjoy!
Here are the closing lines of a poem of mine about the brilliant mathematician, Emmy Noether (1883-1935):
In spite of Emmy's talents,
always there were reasons
not to give her rank
or permanent employment.
She's a pacifist, a woman.
She's a woman and a Jew.
Her abstract thinking
is female and abstruse.
Today, history books proclaim that Noether
is the greatest mathematician
her sex has produced. They say she was good
for a woman.
The full poem is available here.
Monday, April 18, 2016
Subscribe to:
Posts (Atom)
Ritual by Nichita Stanescu (trans. Sean Cotter)
I cry before the number five --
the last supper, minus six.