Measures of Distances in Chess
In chess, the distance between squares on the chessboard for rooks is measured in Manhattan distance; kings and queens use Chebyshev distance, and bishops use the Manhattan distance (between squares of the same color) on the chessboard rotated 45 degrees, i.e., with its diagonals as coordinate axes. To reach from one square to another, only kings require the number of moves equal to the distance; rooks, queens and bishops require one or two moves (on an empty board, and assuming that the move is possible at all in the bishop's case).
Read more about this topic: Taxicab Geometry
Famous quotes containing the words measures of, measures, distances and/or chess:
“One encounters very capable fathers abashed by their piano-playing daughters. Three measures of Schumann make them red with embarrassment.”
—Alfred Döblin (1878–1957)
“Him the Almighty Power
Hurld headlong flaming from th’ Ethereal Skie
With hideous ruine and combustion down
To bottomless perdition, there to dwell
In Adamantine Chains and penal Fire,
Who durst defie th’ Omnipotent to Arms.
Nine times the Space that measures Day and Night
To mortal men, he with his horrid crew
Lay vanquisht, rowling in the fiery Gulfe”
—John Milton (1608–1674)
“We then entered another swamp, at a necessarily slow pace, where the walking was worse than ever, not only on account of the water, but the fallen timber, which often obliterated the indistinct trail entirely. The fallen trees were so numerous, that for long distances the route was through a succession of small yards, where we climbed over fences as high as our heads, down into water often up to our knees, and then over another fence into a second yard, and so on.”
—Henry David Thoreau (1817–1862)
“Work, as we usually think of it, is energy expended for a further end in view; play is energy expended for its own sake, as with children’s play, or as manifestation of the end or goal of work, as in “playing” chess or the piano. Play in this sense, then, is the fulfillment of work, the exhibition of what the work has been done for.”
—Northrop Frye (1912–1991)