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:
“Those who, while they disapprove of the character and measures of a government, yield to it their allegiance and support are undoubtedly its most conscientious supporters, and so frequently the most serious obstacles to reform.”
—Henry David Thoreau (1817–1862)
“I hear America singing, the varied carols I hear,
Those of mechanics, each one singing his as it should be blithe and
strong,
The carpenter singing his as he measures his plank or beam,
The mason singing his as he makes ready for work, or leaves off
work,”
—Walt Whitman (1819–1892)
“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)
“I once heard of a murderer who propped his two victims up against a chess board in sporting attitudes and was able to get as far as Seattle before his crime was discovered.”
—Robert Benchley (1889–1945)