Sometimes we find meaning among disparate objects when they are juxtaposed. Here are nine words I have chosen because of the ways they are spelled. Using them to form two squares. Are my squares poems?
S A F E
A R E A
F E A R
E A R N
Showing posts with label symmetric. Show all posts
Showing posts with label symmetric. Show all posts
Tuesday, June 25, 2013
Friday, September 16, 2011
Best words in the best order
Writers of mathematics strive for clear and careful wording, especially in the formulation of definitions. Well-specified definitions can enable theorems to be proved succinctly. For example, the relation "less than" (denoted <) for the positive integers {1,2,3,...} may be defined as follows:
If a and b are integers, then
a < b if b - a is a positive integer.
Although the simple definition of "less than" as "to the left of" in the list {1,2,3,...} is intuitively clear, the formal definition above is better suited for mathematical arguments. It defines "less than" in terms of the known term, "positive." This sort of sequencing of definitions is common in mathematics -- one may go on to define "greater than" in terms of "less than," and so on.
Saying things in the best way is also a goal of poetry. Well known to many are these words of poet Samuel Taylor Coleridge (1772–1834):
If a and b are integers, then
a < b if b - a is a positive integer.
Although the simple definition of "less than" as "to the left of" in the list {1,2,3,...} is intuitively clear, the formal definition above is better suited for mathematical arguments. It defines "less than" in terms of the known term, "positive." This sort of sequencing of definitions is common in mathematics -- one may go on to define "greater than" in terms of "less than," and so on.
Saying things in the best way is also a goal of poetry. Well known to many are these words of poet Samuel Taylor Coleridge (1772–1834):
Tuesday, September 6, 2011
Symmetric 4 x 4 square
Martin Gardner (1914-2010) studied philosophy and was interested in everything. For 25 years he wrote the "Mathematical Games" feature for Scientific American. At Magic Dragon Multimedia, Jonathan Vos Post has collected many of the poems Gardner featured in his column over the years. Here is a symmetric square poem from February, 1964.
C U B E
U G L Y
B L U E
E Y E S
C U B E
U G L Y
B L U E
E Y E S
Monday, November 15, 2010
Special square stanzas
My recent posting (November 14) of a symmetric stanza by Lewis Carroll illustrates one variety of "square" poem -- in which the number of words per line is the same as the number of lines. My own square poems (for examples, see October 7 or June 9) are syllable-squares; that is, each stanza has the same number of syllables per line as there are lines. Lisa McCool's poem below is, like Carroll's, a word-square; in McCool's poem -- in addition to the 6x6 shape -- the first words of each line, when read down, match the first line of the poem, and the last words of each line, when read down, match the last line of the poem.
Labels:
Lewis Carroll,
Lisa McCool,
Marian Dunn,
square,
symmetric
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