projective plane of order 2
C29195
concept
A projective plane of order 2 is a finite incidence structure with 7 points and 7 lines where each line contains 3 points, each point lies on 3 lines, and any two distinct points (or lines) determine a unique line (or point).
All labels observed (2)
| Label | Occurrences |
|---|---|
| combinatorial configuration | 1 |
| projective plane of order 2 canonical | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: projective plane of order 2
Generated description
A projective plane of order 2 is a finite incidence structure with 7 points and 7 lines where each line contains 3 points, each point lies on 3 lines, and any two distinct points (or lines) determine a unique line (or point).
Instances (2)
| Instance | Via concept surface |
|---|---|
| Fano plane | — |
| Szekeres configuration | combinatorial configuration |