PG(3,2)
id:
pg-3-2-298-12340138
title:
PG(3,2)
text:
In finite geometry, PG(3, 2) is the smallest three-dimensional projective space. It can be thought of as an extension of the Fano plane.
It has 15 points, 35 lines, and 15 planes. It also has the following properties: Each point is contained in 7 lines and 7 planes
Each line is contained in 3 planes and contains 3 points
Each plane contains 7 points and 7 lines
Each plane is isomorphic to the Fano plane
Every pair of distinct planes intersect in a line
A line and a plane not containing the line
brand slug:
wiki
category slug:
encyclopedia
description:
Smallest 3D projective space
original url:
https://en.wikipedia.org/wiki/PG(3,2)
date created:
date modified:
2024-02-09T13:33:52Z
main entity:
{"identifier":"Q63490825","url":"https://www.wikidata.org/entity/Q63490825"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/4/47/Fano_Space.png","width":431,"height":542}
fields total:
13
integrity:
15