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Real projective plane

In mathematics, the real projective plane, denoted ⁠ R P 2 {\displaystyle \mathbf {RP} ^{2}} ⁠ or ⁠ P 2 {\displaystyle \mathbb {P} _{2}} ⁠, is a two-dimensional projective space, similar to the familiar Euclidean plane in many respects but without the concepts of distance, circles, angle measure, or parallelism. It is the setting for planar projective…

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Homogeneous coordinates

Embedding into 4-dimensional space

Higher non-orientable surfaces

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Real projective plane

Nodes73
Edges72
Triples24
Avg. degree1.97
Density0.027397
Components1

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Real projective plane

Top relations

related to Embedding into 4-dimensional space · 11
Real projective plane → Consider, Euclidean, Moreover, Notice, P2, R3, R4, Roman, S2, The, This
related to Examples · 7
Real projective plane → Assuming, Euclidean, Jordan, Projective, Some, The, This
is a · 2
Real projective plane → cyclic group of order 2, space of lines in three-dimensional Euclidean space which pass through a particular origin point
related to Projective hemisphere · 1
Real projective plane → Because
see also · 1
Real projective plane → Real

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Important terminology

plane projective points real disk line lines space point coordinates surface homogeneous two euclidean origin sphere equation parallel three-dimensional r3

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Real projective planeis aspace of lines in three-dimensional Euclidean space which pass through a particular origin point0.90text
Real projective planeis acyclic group of order 20.90text
the complex projective planeinstance ofis added to distinguish it from other projective planes0.80text
finite projective planes.One common model of the real projective plane is the space of lines in three-dimensional Euclidean space which pass through a particular origin pointinstance ofis added to distinguish it from other projective planes0.80text
Real projective planerelated to Embedding into 4-dimensional spaceThe0.60section
Real projective planerelated to Embedding into 4-dimensional spaceEuclidean0.60section
Real projective planerelated to Embedding into 4-dimensional spaceP20.60section
Real projective planerelated to Embedding into 4-dimensional spaceConsider0.60section
Real projective planerelated to Embedding into 4-dimensional spaceR30.60section
Real projective planerelated to Embedding into 4-dimensional spaceR40.60section
Real projective planerelated to Embedding into 4-dimensional spaceThis0.60section
Real projective planerelated to Embedding into 4-dimensional spaceS20.60section

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