Euclid's orchard
id:
euclid-s-orchard-195-2855425
title:
Euclid's orchard
text:
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 to, where x and y are positive integers. The trees visible from the origin are those at lattice points, where x and y are coprime, i.e., where the fraction x/y is in reduced form. The name Euclid's orchard is derived from the Euclidean algorithm. If the orchar
brand slug:
wiki
category slug:
encyclopedia
description:
Array of line segments normal to points of a square lattice
original url:
https://en.wikipedia.org/wiki/Euclid%27s_orchard
date created:
date modified:
2023-08-12T01:42:30Z
main entity:
{"identifier":"Q5406082","url":"https://www.wikidata.org/entity/Q5406082"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/9/9e/Euclid%27s_Orchard.svg","width":356,"height":356}
fields total:
13
integrity:
15