Fano plane

A collineation of the Fano plane corresponding to the 3-bit Gray code permutation

In finite geometry, the Fano plane (after Gino Fano) is the finite projective plane of order 2, having the smallest possible number of points and lines, 7 each, with 3 points on every line and 3 lines through every point. The standard notation for this plane, as a member of a family of projective spaces, is $PG(2,2)$ where $PG$ stands for "Projective Geometry", the first parameter is the geometric dimension and the second parameter is the order.

单词	Fano plane
释义	Fano plane 英语百科 Fano plane In finite geometry, the Fano plane (after Gino Fano) is the finite projective plane of order 2, having the smallest possible number of points and lines, 7 each, with 3 points on every line and 3 lines through every point. The standard notation for this plane, as a member of a family of projective spaces, is $PG(2,2)$ where $PG$ stands for "Projective Geometry", the first parameter is the geometric dimension and the second parameter is the order.
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