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.
Thursday, December 25, 2014
Wednesday, December 24, 2014
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 --
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 --
Labels:
Christmas,
F. J. Craveiro de Carvalho,
gift,
mathematics,
nothing,
poetry,
Robert Creeley,
zero
Saturday, December 20, 2014
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
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
Labels:
axiom,
Guillevic,
Jackie Bartley,
mathematics,
measure,
poetry,
pyramid,
Richard Smyth,
shape,
square,
three,
triangle
Tuesday, December 16, 2014
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?
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?
Labels:
dance,
fractal,
geometry,
infinite,
Marc Frantz,
mathematician,
photograph,
poetry,
Robin Walthery Allen,
space
Saturday, December 13, 2014
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.
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.
Wednesday, December 10, 2014
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.
Here is a link to another mathy froth poem, this one "Division" by Ryley-Sue.
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.
Labels:
Christopher Daniel Wallbank,
froth,
golden ratio,
haiku,
mathematics,
Ryley-Sue,
square root
Saturday, December 6, 2014
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.
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.
Labels:
center,
clock,
Galileo Galilei,
gravity,
idea,
Isaac Newton,
Marie Curie,
pendulum,
poem,
poet,
poetry,
Richard Aston,
scientist
Tuesday, December 2, 2014
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.
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.
Labels:
Against Infinity,
Lillian Morrison,
mathematician,
poet,
proof
Sunday, November 30, 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.
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.
Labels:
Andrew Marvell,
angle,
conjunction,
geometry,
infinite,
mathematics,
parallel,
planisphere,
poem,
union
Wednesday, November 26, 2014
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.
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.
Friday, November 21, 2014
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.
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
Labels:
alert,
composite,
factor,
Google,
Hedy Lamarr,
images,
Jennifer Calhoun,
Michelle Whitehurst Goosby,
natural,
odd,
prime
Tuesday, November 18, 2014
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,
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,
Labels:
curve,
Emily Grosholz,
Euclid,
fractal,
geometry,
Mandelbrot,
mathematical,
poetry,
Robert Fathauer,
shape
Friday, November 14, 2014
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?
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?
Labels:
Bloomsburg,
imaginary,
impossibility,
number,
PA,
Richard Brook,
River Poets,
square root,
Susan Brook,
Vijay Seshadri
Tuesday, November 11, 2014
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:
At the website goodreads.com I found this mathy (and poetic) quote that I recognized as from the film:
Labels:
figures,
Hiroshima Mon Amour,
Marguerite Duras,
mathematics,
poetry
Sunday, November 9, 2014
Composite or Prime?
Her age
is 9.
Is that 9
composite
or prime?
Labels:
composite,
factor,
Franny Vergo,
grandchildren,
math,
poem,
prime
Wednesday, November 5, 2014
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
The Gray Heron by Galway Kinnell (1927-2014)
It held its head still
while its body and green
legs wobbled in wide arcs
Sunday, November 2, 2014
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.
Labels:
common sense,
Lord Kelvin,
mathematics,
measure,
numbers,
poem
Thursday, October 30, 2014
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.
Tuesday, October 28, 2014
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.
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.
Labels:
contest,
count,
future,
poetry,
Sam Taylor,
Split This Rock,
year
Sunday, October 26, 2014
Dimensions of Discovery
Along the one-dimensional straight line
there are points and segments
but no curves or squares.
there are points and segments
and squares and spheres.
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.
Thursday, October 23, 2014
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.
Statistic Acrostic by Lawrence Mark Lesser and Dennis K. Pearl
A
Better
Confidence:
Data.
Expectations
Fit
Good.
Monday, October 20, 2014
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."
Labels:
city,
game,
John William Burgon,
Jonathan Vos Post,
MAA,
Martin Gardner,
mathematical,
Oulipo,
parody,
poetry,
Scientific American,
time
Wednesday, October 15, 2014
Poetry Reading 1-11-15 at JMM in San Antonio
at the 2015 Joint Mathematics Meetings (JMM)
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).
Friday, October 10, 2014
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.
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.
Labels:
counting,
Fibonacci,
five,
four,
Heather Green,
Joshua Clover,
Lana Turner,
poem,
right angle,
zero
Wednesday, October 8, 2014
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
Love Physics by Richard Retecki
equal forces
oppositely directed
canceled to zero
then we tricked you
exchanging pressure for light
Saturday, October 4, 2014
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.
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.
Sunday, September 28, 2014
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.
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.
Tuesday, September 23, 2014
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.
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.
Saturday, September 20, 2014
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?
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?
Monday, September 15, 2014
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.
Labels:
Against Infinity,
arc,
circles,
Joseph Auslander,
Lee Lorch,
Lillian Morrison,
Linda Braddy,
locus,
MAA,
point
Thursday, September 11, 2014
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.
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.
Sunday, September 7, 2014
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.
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.
Labels:
ballad,
electronic literature,
hyperlink,
hypertext,
poem,
poetry,
Stephanie Strickland
Wednesday, September 3, 2014
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"
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"
Labels:
math,
Paul Geiger,
poetry,
Shel Silverstein,
square
Saturday, August 30, 2014
Mathy Poetry from Bridges 2014
This year's math-arts conference, Bridges 2014, was in Korea. And a dozen of us who write poetry-with-mathematics -- unable to attend in person -- worked with coordinator Sarah Glaz to offer (on August 16, hosted by Mike Naylor) a virtual reading of work videotaped in advance by the poets and edited into a coherent whole by Steve Stamps.
The virtual reading is here on YouTube.
The virtual reading is here on YouTube.
Labels:
2014,
Bridges Conference,
Mark Willey,
mathematics,
Mike Naylor,
poetry,
poetry reading,
Sarah Glaz,
YouTube
Wednesday, August 27, 2014
Grandma Got STEM
It was my good fortune last weekend to meet the sister-in-law of one of my neighbors, mathematician and Harvey Mudd professor, Rachel Levy. Levy is also a blogger and her postings in Grandma Got
STEM tell of achievements of women in science.
I have looked for a poem to pair with my mention here of Grandma Got STEM. Although the following poem by Tami Haaland (found at the Poetry Foundation website) is not mathematical, it nicely brings to life a relationship between a grandmother and granddaughter -- and we wish for both of them "places to explore beyond the frame."
Little Girl by Tami Haaland
She’s with Grandma in front
of Grandma’s house, backed
by a willow tree, gladiola and roses.
Who did she ever want
to please? But Grandma
seems half-pleased and annoyed.
I have looked for a poem to pair with my mention here of Grandma Got STEM. Although the following poem by Tami Haaland (found at the Poetry Foundation website) is not mathematical, it nicely brings to life a relationship between a grandmother and granddaughter -- and we wish for both of them "places to explore beyond the frame."
Little Girl by Tami Haaland
She’s with Grandma in front
of Grandma’s house, backed
by a willow tree, gladiola and roses.
Who did she ever want
to please? But Grandma
seems half-pleased and annoyed.
Labels:
explore,
frame,
Grandma,
Rachel Levy,
STEM,
Tami Haaland
Saturday, August 23, 2014
Changing colors, counting syllables
Changing Colors
by JoAnne Growney
Blue
yoyo --
awkwardly
stopping-starting,
rising-plummeting,
seeking self-control. Please,
mother-friend-lover-child, don't
pull string. Let me collect myself.
I lift myself to the treetops,
soar with the golden eagle,
find rest on fleecy clouds.
My orb embraces
everybody --
powerful,
yellow
sun.
Tuesday, August 19, 2014
Poetry in Math Journals
The Mathematical Intelligencer (publisher of the poem by Gizem Karaali given below) and the Journal of Humanistic Mathematics (an online, open-access journal edited by Mark Huber and Gizem Karaali) are periodicals that include math-related poetry in each issue. For example, in the most recent issue of JHM, we have these titles:
Articles:
Joining the mathematician's delirium to the poet's logic'': Mathematical Literature and Literary Mathematics by Rita Capezzi and Christine Kinsey
How Do I Love Thee? Let Me Count the Ways for Syllabic Variation in Certain Poetic Forms by Mike Pinter
Poems:
And here, from Gizem Karaali, is a poetic view of the process of mathematical discovery: the blank white page, the muddy flow of thoughts, the clarity that eventually (sometimes) blooms:
Articles:
Joining the mathematician's delirium to the poet's logic'': Mathematical Literature and Literary Mathematics by Rita Capezzi and Christine Kinsey
How Do I Love Thee? Let Me Count the Ways for Syllabic Variation in Certain Poetic Forms by Mike Pinter
Poems:
Computational Compulsions by Martin Cohen
Jeffery's Equation by Sandra J. Stein
The Math of Achilles by Geoffrey A. Landis
And here, from Gizem Karaali, is a poetic view of the process of mathematical discovery: the blank white page, the muddy flow of thoughts, the clarity that eventually (sometimes) blooms:
Friday, August 15, 2014
My best dream is floating . . .
Today I want to urge you to visit several sites in addition to my blog. For example, there is the recent announcement of 2014 Fields Medal (equivalent to a Nobel prize) winners -- the four winners include the first female mathematician (Maryam Mirzakhani) ever to be selected as a Fields Medalist (equivalent to a Nobel Prize) and a mathematician who loves poetry (Manjul Bhargava).
With the help of a "Google Alert" I found a YouTube video of Alexandria Marie reading "The Mathematics of Heartbreak" at a Dallas Poetry Slam. A link in an email from Texas computer scientist, Dylan Shell, alerted me to these mathematical lyrics (new words for old tunes) in a mathbabe posting by Cathy O'Neil.
As we have been floating from topic to topic, it may be apt to end with the final stanza of my relevantly titled poem:
With the help of a "Google Alert" I found a YouTube video of Alexandria Marie reading "The Mathematics of Heartbreak" at a Dallas Poetry Slam. A link in an email from Texas computer scientist, Dylan Shell, alerted me to these mathematical lyrics (new words for old tunes) in a mathbabe posting by Cathy O'Neil.
As we have been floating from topic to topic, it may be apt to end with the final stanza of my relevantly titled poem:
Labels:
Alexandria Marie,
Cathy O'Neil,
Fields Medal,
infinity,
Maryam Mirzakhani,
mathematics,
number,
poetry
Monday, August 11, 2014
Narrated by a mathematician
Recently translated by Adam Morris, the novel With My Dog-Eyes (Melville House, 2014) by Brazilian writer Hilda Hilst (1930-2004) is narrated by a mathematician-poet. That fact of narration is what first drew me to the book. (See also this July 3 posting.) And then there is (related in Morris's introduction to the translation) Hilst's sad life, perhaps mirrored in her characters. These are the opening lines from the novel's narrator:
The cross on my brow
The facts of what I was
Of what I will be:
I was born a mathematician, a magician
I was born a poet.
The cross on my brow
The facts of what I was
Of what I will be:
I was born a mathematician, a magician
I was born a poet.
Labels:
Adam Morris,
edges,
faces,
Hlda Hilst,
magician,
mathematician,
poet,
polyhedron,
vertices
Friday, August 8, 2014
Squaring the Circle
Reminding us of the ancient unsolvable problem that so many attempted, the July/August 2014 issue of Poetry Magazine contains "Squaring the Circle," a poem by Philip Fried. Here are the opening lines; please follow the Poetry Magazine link above to enjoy the full poem.
from Squaring the Circle by Philip Fried
It's a little-known fact that God's headgear --
A magician's collapsible silk top hat,
When viewed from Earth, from the bottom up
Is, sub specie aeternitatis,
A pluperfect halo, both circle and square,
. . .
from Squaring the Circle by Philip Fried
It's a little-known fact that God's headgear --
A magician's collapsible silk top hat,
When viewed from Earth, from the bottom up
Is, sub specie aeternitatis,
A pluperfect halo, both circle and square,
. . .
Two previous posts that also consider the circle-squaring problem include 10 May 2010 and 21 April 2010.
Labels:
circle,
mathematics,
Philip Fried,
poem,
POETRY Magazine,
problem,
square,
squaring the circle,
unsolvable
Wednesday, August 6, 2014
Divided selves, some of them savvy
For social connections, it is desirable not to be pegged as a member of an outcast group. And thus a mathematician is likely to have at least two selves -- one who lives in the world of mathematics and another separate social self that negotiates that rest-of-the-world where many fear and shun mathematics. I found a situation somewhat similar when I studied at Hunter College in Manhattan: I needed a separate self who negotiated the city. The problem-solving farm girl who knew small towns well and big cities slightly seemed better equipped to adapt to city conversations than her fellow students could chat about anything west of the Hudson. How many hundred miles must you drive to get to Pennsylvania? they wondered. (The Delaware River boundary of PA is about 75 miles west of the George Washington Bridge.)
In this vein, I present a poem that focuses on the country vs city divide -- and it involves a square look and a number.
Green Market, New York by Julia Spicher Kasdorf
In this vein, I present a poem that focuses on the country vs city divide -- and it involves a square look and a number.
Green Market, New York by Julia Spicher Kasdorf
Labels:
divided,
Hunter College,
Julia Spicher Kasdorf,
mathematics,
New York,
Pennsylvania,
poem,
poetry,
problem,
square
Sunday, August 3, 2014
A math prof's lament
The mathematical connection for this poem is the fact that it was inspired by regrets for a missed opportunity in a mathematics class -- an opportunity missed by me and thus by one of my students. There are so many ways to be wrong!
Lament of a Professor
at the End of the Spring Semester by JoAnne Growney
I took an extra step to bridge the gap
between us, blind to your matching backward step.
We've moved in tandem until I'm angry
at you, and at me — I thought you needed
lenience, but reprimands instead
would have changed the direction of our cadence
and given you a chance to lead the dance.
A poem about another of my students, "The Prince of Algebra" is available here. And this link will take you to the poems in my collection, My Dance is Mathematics (Paper Kite Press, 2006).
Lament of a Professor
at the End of the Spring Semester by JoAnne Growney
I took an extra step to bridge the gap
between us, blind to your matching backward step.
We've moved in tandem until I'm angry
at you, and at me — I thought you needed
lenience, but reprimands instead
would have changed the direction of our cadence
and given you a chance to lead the dance.
A poem about another of my students, "The Prince of Algebra" is available here. And this link will take you to the poems in my collection, My Dance is Mathematics (Paper Kite Press, 2006).
Tuesday, July 29, 2014
Fixing something wrong
If there's something
wrong with the third
act, it's really
in the first act.
This quote from Billy Wilder, Austrian-born writer and film-director (1906-2002), reminds me of a similar observation I have made about my mathematical work -- when a reviewer notes a problem near the end, usually the fix is near the beginning. And so it goes . . .
Labels:
Billy Wilder,
first,
mathematics,
strategy,
third,
wrong
Sunday, July 27, 2014
Each equation is a playful catch . . .
A mathematician is probably too close to her subject matter to speak playfully about it -- and thus she, even more than others, appreciates a phrase like "each equation is a playful catch, like bees into a jar," offered by Lisa Rosenberg in the poem below. In "Introduction to Methods of Mathematical Physics," Rosenberg uses a child's anxiety about insects as a way to describe fear of mathematics and offers a smidgen of respect for "those few" who are fearless.
Introduction to Methods of Mathematical Physics by Lisa Rosenberg
You must develop a feeling for these symbols
that crawl across a page, for the text overrun
with scorpions. Like those books about insects
you read as a child, scared to touch the magnified photos,
Labels:
equation,
Lisa Rosenberg,
mathematical physics,
mathematics,
playful,
poem,
poetry,
symbol
Friday, July 25, 2014
Poems with "equation" in the title
One of the ways to explore this blog is to go to the right hand column and find the instruction, SEARCH.
A few moments ago I did this and entered the word "equation" and found a long list of links, many of the latter ones redundant since they are picking up archive listings of earlier postings. But the early ones can be fun to explore. Here are five of the first six items that the SEARCH BOX produced. And the first two of these links yield poems with "equation" in the title. Enjoy!
A few moments ago I did this and entered the word "equation" and found a long list of links, many of the latter ones redundant since they are picking up archive listings of earlier postings. But the early ones can be fun to explore. Here are five of the first six items that the SEARCH BOX produced. And the first two of these links yield poems with "equation" in the title. Enjoy!
Labels:
blog,
equation,
mathematics,
poetry,
search
Saturday, July 19, 2014
Mathematicians are not free to say . . .
The poetry of a mathematician is constrained by the definitions she knows from mathematics. Even though all but one of the prime integers is odd, she cannot use the words "prime" and "odd" as if they are interchangeable. She cannot use the words "rectangle" and "box" as synonyms. But the ways that non-math poets dare to engage with math words can be delightful to mathematical ears and eyes. For example:
The Wasp on the Golden Section by Katy Didden
The Wasp on the Golden Section by Katy Didden
Labels:
golden section,
Katy Didden,
mathematics,
odd,
poetry,
prime,
Stephanie Strickland
Wednesday, July 16, 2014
Palindromes
Palindromic numbers are not uncommon -- recently (in the July 12 posting) power-of-eleven palindromes are mentioned. Palindromic poems are more difficult to find but see, for example, the postings for October 6, 2010 and October 11, 2010.
At a recent Kensington Row Bookshop poetry reading, Hailey Leithauser revealed that all but one of the poems in her recent collection Swoop (Graywolf Press, 2014) contain a palindrome.
And here are a couple of my favorite palindromic phrases:
(the impossible integer)
Never
odd or
even.
odd or
even.
(the mathematician's answer when she is offered cake)
"I prefer pi."
"I prefer pi."
Saturday, July 12, 2014
Prove It
After observing that
1 = 1
and 1 + 3 = 4
and 1 + 3 + 5 = 9
and 1 + 3 + 5 + 7 = 16
and 1 + 3 + 5 + 7 + 9 = 25
it seems easy to conclude that, for any positive integer n, the sum of the first n odd integers is n2.
1 = 1
and 1 + 3 = 4
and 1 + 3 + 5 = 9
and 1 + 3 + 5 + 7 = 16
and 1 + 3 + 5 + 7 + 9 = 25
it seems easy to conclude that, for any positive integer n, the sum of the first n odd integers is n2.
Labels:
infinite,
integer,
odd,
palindrome,
poem,
power,
proof,
prove,
sum,
William Kloefkorn
Wednesday, July 9, 2014
Looking back . . .
I have been visiting my hometown of Indiana, Pennsylvania and not finding time to complete a new post -- and so I have looked back. On July 9, 2010 I offered a sonnet by Australian poet Jordie Albiston that begins with these lines:
math (after)
first you get the number-rush as anyone
might do you watch your world turn to
nought put your foot upon the path re
what cannot be said I’ve heard before
. . .
I invite you to go to the original post and read the rest.
math (after)
first you get the number-rush as anyone
might do you watch your world turn to
nought put your foot upon the path re
what cannot be said I’ve heard before
. . .
I invite you to go to the original post and read the rest.
Sunday, July 6, 2014
Poetry as Pure Mathematics
A recent email from Portuguese mathematician-poet F J "Francisco" Craveiro
de Carvalho brought a 40-year-old stanza to my attention. First published in the May, 1974 issue of POETRY Magazine, we have these enigmatic lines by William Virgil Davis. Enjoy!
The Science of Numbers: Or Poetry as Pure Mathematics
Whatever you add you add at your peril.
It is far better to subtract. In poetry,
Multiplication borders on madness.
Division is the mistress we agree to sleep with.
The Science of Numbers: Or Poetry as Pure Mathematics
Whatever you add you add at your peril.
It is far better to subtract. In poetry,
Multiplication borders on madness.
Division is the mistress we agree to sleep with.
Thursday, July 3, 2014
Mathematician and Poet
Should I do it? Should I do a blog post on a novel by Brazilian poet Hilda Hilst (1930-2004) that I have begun to read but don't yet know how to understand?
Hilst's novel, With My Dog-Eyes, newly translated by Adam Morris (Melville House, 2014), attracted my attention because its narrator is a mathematician and a poet. Here are the lines with which the novel begins:
from With My Dog-Eyes by Hilda Hilst
The cross on my brow
The facts of what I was
Of what I will be:
I was born a mathematician, a magician
I was born a poet.
Hilst's novel, With My Dog-Eyes, newly translated by Adam Morris (Melville House, 2014), attracted my attention because its narrator is a mathematician and a poet. Here are the lines with which the novel begins:
from With My Dog-Eyes by Hilda Hilst
The cross on my brow
The facts of what I was
Of what I will be:
I was born a mathematician, a magician
I was born a poet.
Labels:
Adam Morris,
Bertrand Russell,
Hilda Hilst,
magician,
mathematician,
poet
Monday, June 30, 2014
A recent butterfly effect
The term butterfly effect has entered everyday vocabulary from the mathematics of chaos theory and refers to the possibility of a major event (such as a tornado) starting from something so slight as the flutter of a butterfly wing. This sensitivity to small changes is a characteristic of chaotic systems. Recent news in Science magazine (9 May 2014) has drawn my attention to sea butterflies -- and the effect that ocean acidification is having on the lives of these tiny, fragile creatures -- and the environmental warning that this portends. From the details offered in Science, I have constructed this poem of 4x4 square-stanzas:
Warned by Sea Butterflies by JoAnne Growney
Sea butterflies --
no larger than
a grain of sand,
named for the way
Warned by Sea Butterflies by JoAnne Growney
Sea butterflies --
no larger than
a grain of sand,
named for the way
Labels:
butterfly effect,
chaos,
JoAnne Growney,
mathematics,
poem,
sea butterfly,
square stanza
Friday, June 27, 2014
Of all geometries, feathery is best . . .
The title for this post comes from Twinzilla (The Word Works, 2014), by Charleston poet Barbara Hagerty. The title character of this collection is one of several poetic personalities that inhabit Hagerty's verse, and she offers a playful view of life's dualities -- sometimes versed in mathematical terminology. Here's a sample.
Twinzilla Cautions * by Barbara G. S. Hagerty
Do not accept packages from unknown persons.
Beware non-native strangers who may be concealing
hazardous contraband "down there."
Question algebra. Dismantle thoughts traveling
the brain's baggage carousel in parabolas.
Twinzilla Cautions * by Barbara G. S. Hagerty
Do not accept packages from unknown persons.
Beware non-native strangers who may be concealing
hazardous contraband "down there."
Question algebra. Dismantle thoughts traveling
the brain's baggage carousel in parabolas.
Tuesday, June 24, 2014
Is mathematics discovered or invented?
My neighbor, Glenn, is fond of asking math-folks that he meets the question "Is mathematics discovered or invented?" -- and when he asked the question of MAA lecturer William Dunham the response was one word, delivered with a smile, "Yes." The question of invention versus discovery -- which may apply to poetry or to mathematics -- is thoughtfully considered in "Notes toward a Supreme Fiction" by Wallace Stevens (1879-1955); here are a few lines from that poem.
from It Must Give Pleasure, VII by Wallace Stevens
He imposes orders as he thinks of them,
As the fox and the snake do. It is a brave affair.
Next he builds capitols and in their corridors,
from It Must Give Pleasure, VII by Wallace Stevens
He imposes orders as he thinks of them,
As the fox and the snake do. It is a brave affair.
Next he builds capitols and in their corridors,
Labels:
discover,
invent,
mathematics,
order,
poetry,
Wallace Stevens,
William Dunham
Friday, June 20, 2014
Three thousand, and two
Here is a small poem richly vivid with the contrasts of opposites:
beside a stone three
thousand years old: two
red poppies of today
by Christine M. Krishnasami, India, found in This Same Sky: A Collection of Poems from around the World (selected by Naomi Shihab Nye, Aladdin Paperbacks, 1996).
beside a stone three
thousand years old: two
red poppies of today
by Christine M. Krishnasami, India, found in This Same Sky: A Collection of Poems from around the World (selected by Naomi Shihab Nye, Aladdin Paperbacks, 1996).
Tuesday, June 17, 2014
Found: Elementary Calculus
Here is a poem by Saskatchewan poet Karen Solie.
Found by Karen Solie
Elementary Calculus
From Elementary Calculus A. Keith and W. J. Donaldson.
Glasgow: Gibson, 1960.
Speed (like distance)
is a magnitude and has no
direction; velocity (like displacement)
has magnitude and direction.
Found by Karen Solie
Elementary Calculus
From Elementary Calculus A. Keith and W. J. Donaldson.
Glasgow: Gibson, 1960.
Speed (like distance)
is a magnitude and has no
direction; velocity (like displacement)
has magnitude and direction.
Labels:
calculus,
direction,
Karen Solie,
magnitude,
mathematics,
poem,
second,
speed,
zero
Saturday, June 14, 2014
Number theory is like poetry
Austrian-born Olga Taussky-Todd (1906-1995) was a noted and prolific mathematician who left her homeland for London in 1935 and moved on to California in 1945. Her best-known work was in the field of matrix theory (in England during World War II she started to use matrices to analyze vibrations of airplanes) and she also made important contributions to number theory. In the math-poetry anthology, Against Infinity, I found a poem by this outstanding mathematician.
Labels:
Against Infinity,
mathematics,
mathmatician,
matrix,
number theory,
Olga Taussky-Todd,
poetry,
woman
Wednesday, June 11, 2014
And Now I See . . .
One of the ways we overcome our nervous shyness about our disabilities is by talking about them, and writing about them. And by encountering the poetry of Kathi Wolfe. I enjoy her work out-loud -- she is a frequent performer of her poems at local DC-area venues -- and on the page.
Kathi's "Blind Ambition" (in which she speaks of the monsters in arithmetic) is offered below; I first discovered this poem when it was posted by Split this Rock as poem of the week.
Kathi's "Blind Ambition" (in which she speaks of the monsters in arithmetic) is offered below; I first discovered this poem when it was posted by Split this Rock as poem of the week.
Labels:
addition,
arithmetic,
blind,
Kathi Wolfe,
multiplication,
poetry,
Split This Rock
Sunday, June 8, 2014
Impossible Things Before Breakfast
Literary works by Charles Lutwidge Dodgson (1832-1898, aka Lewis Carroll) are crammed with mentions of mathematics. One of my favorites (found here with numerous others, including "Ambition, Distraction, Uglification, Derision") is this exchange from Carroll's Alice in Wonderland.
"Alice laughed: "There's no use trying," she said; "one can't believe impossible things."
"I daresay you haven't had much practice," said the Queen. "When I was younger, I always did it for half an hour a day. Why, sometimes I've believed as many as six impossible things before breakfast."
Alice in Wonderland
"Alice laughed: "There's no use trying," she said; "one can't believe impossible things."
"I daresay you haven't had much practice," said the Queen. "When I was younger, I always did it for half an hour a day. Why, sometimes I've believed as many as six impossible things before breakfast."
Alice in Wonderland
Labels:
Charles Lutwidge Dodson,
impossible,
Lewis Carroll,
paradox
Wednesday, June 4, 2014
Behind the cards -- mathematics
A couple of weeks ago at an MAA math lecture by Alissa Crans on the Catalan numbers, I sat near card-trick mathematician Colm Mulcahy. And I asked him if he knew any poems about card tricks and their mathematics.
Though he at first said "no," Mulcahy turned out to have a couple of connections up his sleeve. From Matthew Wright he learned of "The Card Players" -- a colorful sonnet from Philip Larkin's 1974 collection High Windows and available here with selections of Adriaen Brouwer's art.
And Bruce Reznick reminded him of the lyrics for "The Gambler" by Kenny Rogers. The complete lyrics may be found here; I include below a stanza that offers some instruction about counting.
Though he at first said "no," Mulcahy turned out to have a couple of connections up his sleeve. From Matthew Wright he learned of "The Card Players" -- a colorful sonnet from Philip Larkin's 1974 collection High Windows and available here with selections of Adriaen Brouwer's art.
And Bruce Reznick reminded him of the lyrics for "The Gambler" by Kenny Rogers. The complete lyrics may be found here; I include below a stanza that offers some instruction about counting.
Labels:
Alissa Crans,
bet,
Bruce Reznick,
card,
Catalan numbers,
Colm Mulcahy,
count,
Fiorello,
Kenny Rogers,
Matthew Wright,
Philip Larkin,
poem,
poker,
politics,
Sheldon Harnick,
trick
Friday, May 30, 2014
Squirrel Arithmetic
My maternal grandfather, James Edgar Black (1871-1931) was a western Pennsylvanian, a carpenter, and a man I never knew. But Ed, one of my cousins, found among our grandfather's long-stored things a scrapbook of collected poems and other miscellany that he recently passed on to me.
Thursday, May 29, 2014
Phenomenal Woman
Yesterday morning Maya Angelou (1928-2014) left us. But she has not left us alone. Her voice is with us, cheering us to be more than we were, to be all that we can become. Places to read her words and words about her include PoetryFoundation.org (scroll down past the bio for links to poems), Poets.org, The Washington Post, and Angelou's website.
Angelou's poetry is filled with the geometry and motion of womanhood. For example:
Angelou's poetry is filled with the geometry and motion of womanhood. For example:
Labels:
geometry,
Maya Angelou,
motion,
phenomenal,
woman
Sunday, May 25, 2014
How many grains of sand?
Recently one of my friends used "all the grains of sand" as an example of an infinite set "because it is impossible to count them all" and -- even as I rejected his answer -- I wondered how many of my other friends might agree with it. In the following poem, mathematician Pedro Poitevin considers a similar question as he reflects on the countability of the birds in the night sky.
Divertimentum Ornithologicum by Pedro Poitevin
After Jorge Luis Borges's Argumentum Ornithologicum.
A synchrony of wings across the sky
is quavering its feathered beats of flight.
Their number is too high to count -- I try
Divertimentum Ornithologicum by Pedro Poitevin
After Jorge Luis Borges's Argumentum Ornithologicum.
A synchrony of wings across the sky
is quavering its feathered beats of flight.
Their number is too high to count -- I try
Labels:
count,
hyperfinite,
inductive,
infinite,
Jorge Luis Borges,
less,
more,
natural number,
Pedro Poitevin
Friday, May 23, 2014
Math rap
Harry Baker is a Slam Champion who studies Maths at Bristol University, UK -- and his poetry sometimes features math, often having fun with the topic. His web page has a link to a rap about maths and at the JMM reading in Boston in 2012, Baker submitted this rap, 59 (a love story, now on YouTube), for presentation that evening.
Tuesday, May 20, 2014
Public Image of a Mathematician
From John Dawson -- a professor emeritus of mathematics at the Penn State York campus and well-known for his publications in mathematical logic, often focusing on the life and work of Kurt Godel -- a poem on a topic that this blog visits from time to time, portraits of mathematicians.
Public Image by John W. Dawson, Jr.
Please,
I'm not an accountant.
No,
Mine doesn't always balance either.
What do I do then?
Well,
On good days
I prove theorems;
Public Image by John W. Dawson, Jr.
Please,
I'm not an accountant.
No,
Mine doesn't always balance either.
What do I do then?
Well,
On good days
I prove theorems;
Labels:
accountant,
John Dawson,
Kurt Godel,
logic,
mathematician,
mathematics,
poem
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