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Later the Geometry Center at the University of Minnesota sold a loosely bound copy of the notes. In 2002, Sheila Newbery typed the notes in TeX and made a PDF file of the notes available, which can be downloaded from MSRI using the links below. The book (Thurston 1997) is an expanded version of the first three chapters of the notes. In 2022 the ...
Williams referred to the prosody of triadic-line poetry as a "variable foot", a metrical device to resolve the conflict between form and freedom in verse. [4] Each of the three staggered lines of the stanza should be thought of as one foot, the whole stanza becoming a trimeter line. [5]
In most cases (85% [6] of lines in Virgil) this comes after the first syllable of the 3rd foot, as in ca/no in the above example. This is known as a strong or masculine caesura. When the 3rd foot is a dactyl, the caesura can come after the second syllable of the 3rd foot; this is known as a weak or feminine caesura.
For each pair of lines, there can be only one cell where the two lines meet at the bottom vertex, so the number of downward-bounded cells is at most the number of pairs of lines, () /. Adding the unbounded and bounded cells, the total number of cells in an arrangement can be at most n ( n + 1 ) / 2 + 1 {\displaystyle n(n+1)/2+1} . [ 5 ]
Monometer: a line of verse with just 1 metrical foot. Dimeter: a line of verse with 2 metrical feet. Trimeter: a line of verse with 3 metrical feet. Tetrameter: a line of verse with 4 metrical feet. Hexameter: a line of verse with 6 metrical feet. Heptameter: a line of verse with 7 metrical feet. Octameter: a line of verse with 8 metrical feet.
Gerard Manley Hopkins wrote many of his poems in six-foot iambic and sprung rhythm lines. In the 20th century a loose ballad-like six-foot line with a strong medial pause was used by William Butler Yeats. The iambic six-foot line has also been used occasionally, and an accentual six-foot line has been used by translators from the Latin and many ...
The following first verse from "The Raven" shows the use of trochaic octameter. Note the heavy use of dactyls in the second and fifth line, which help to emphasize the more regular lines, and the use of strong accents to end the second, fourth and fifth lines, reinforcing the rhyme: We can notate the scansion of this as follows: /
A packing of PG(3, 2) is a partition of the 35 lines into 7 disjoint spreads of 5 lines each, and corresponds to a solution for all seven days. There are 240 packings of PG(3, 2) , that fall into two conjugacy classes of 120 under the action of PGL(4, 2) (the collineation group of the space); a correlation interchanges these two classes.