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.
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