Coverage of a square lattice by an inclined rectangle

Authors
Rosen, Dennis
Citation
Rosen, Dennis, Coverage of a square lattice by an inclined rectangle, Advances in applied probability , 21(3), 1989, pp. 705-707
Journal title
Advances in applied probability → ACNP
ISSN journal
00018678
Volume
21
Issue
3
Year of publication
1989
Pages
705 - 707
Database
ACNP
SICI code
Abstract
By use of a method of dissection, a formula is derived for the variance in the number of lattice points covered by a rectangle of arbitrary size, lying on a square lattice of unit spacing and inclined to the lattice at an angle of which the tangent is a rational fraction.