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- Euclid's_orchard abstract "In mathematics, informally speaking, Euclid's orchard is an array of one-dimensional "trees" of unit height planted at the lattice points in one quadrant of a square lattice. More formally, Euclid's orchard is the set of line segments from (i, j, 0) to (i, j, 1) where i and j are positive integers.The trees visible from the origin are those at lattice points (m, n, 0) where m and n are coprime, i.e., where the fraction m⁄n is in reduced form. The name Euclid's orchard is derived from the Euclidean algorithm.If the orchard is projected relative to the origin onto the plane x+y=1 (or, equivalently, drawn in perspective from a viewpoint at the origin) the tops of the trees form a graph of Thomae's function. The point (m, n, 1) projects to".
- Euclid's_orchard thumbnail Euclid's_Orchard.svg?width=300.
- Euclid's_orchard wikiPageID "14687650".
- Euclid's_orchard wikiPageRevisionID "591504834".
- Euclid's_orchard hasPhotoCollection Euclid's_orchard.
- Euclid's_orchard subject Category:Greek_mathematics.
- Euclid's_orchard subject Category:Lattice_points.
- Euclid's_orchard comment "In mathematics, informally speaking, Euclid's orchard is an array of one-dimensional "trees" of unit height planted at the lattice points in one quadrant of a square lattice. More formally, Euclid's orchard is the set of line segments from (i, j, 0) to (i, j, 1) where i and j are positive integers.The trees visible from the origin are those at lattice points (m, n, 0) where m and n are coprime, i.e., where the fraction m⁄n is in reduced form.".
- Euclid's_orchard label "Euclid's orchard".
- Euclid's_orchard sameAs m.03gt3qt.
- Euclid's_orchard sameAs Q5406082.
- Euclid's_orchard sameAs Q5406082.
- Euclid's_orchard wasDerivedFrom Euclid's_orchard?oldid=591504834.
- Euclid's_orchard depiction Euclid's_Orchard.svg.
- Euclid's_orchard isPrimaryTopicOf Euclid's_orchard.
