Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebra
finite projective plane |
| gptkbp:automorphismGroup |
gptkb:PSL(2,7)
|
| gptkbp:configuration |
(7_3)
|
| gptkbp:example |
gptkb:Steiner_system_S(2,3,7)
gptkb:projective_plane_of_order_2 block design |
| https://www.w3.org/2000/01/rdf-schema#label |
Fano plane
|
| gptkbp:is_self-dual |
true
|
| gptkbp:is_smallest_projective_plane |
true
|
| gptkbp:is_symmetric |
true
|
| gptkbp:line |
7
|
| gptkbp:lines_per_point |
3
|
| gptkbp:namedAfter |
gptkb:Gino_Fano
|
| gptkbp:number_of_points |
7
|
| gptkbp:order |
2
|
| gptkbp:points_per_line |
3
|
| gptkbp:represents |
gptkb:Heawood_graph
incidence matrix finite field GF(2) |
| gptkbp:used_in |
gptkb:geometry
coding theory matroid theory combinatorics design theory |
| gptkbp:bfsParent |
gptkb:Gino_Fano
gptkb:real_projective_plane gptkb:octonions |
| gptkbp:bfsLayer |
6
|