Examples of 'fano plane' in a sentence
Meaning of "fano plane"
fano plane: The Fano plane is a mathematical concept in geometry and combinatorics that consists of seven points and seven lines, with each line connecting three points. It is a finite projective plane that has specific properties and applications in various mathematical fields
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- 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.
How to use "fano plane" in a sentence
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fano plane
It can be thought of as an extension of the Fano plane.
The Fano plane is not one of them since it needs at least one curve.
A nimber numbering of the Fano plane.
The Fano plane is one of the important examples in the structure theory of matroids.
This incidence structure is called the Fano plane.
The Fano plane is the projective plane arising from the field of two elements.
This particular projective plane is sometimes called the Fano plane.
The Fano plane.
The development of this difference set gives the Fano plane.
The Levi graph of the Fano plane is the Heawood graph.
The smallest projective plane has order two and is known as the Fano plane.
The Fano plane above is a self-dual incidence structure.
As geometries, these planes are isomorphic to the Fano plane.
Since this is a symmetric matrix, the Fano plane is a self-dual incidence structure.
The projective plane of order 2 is called the Fano plane.
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Each line in the Fano plane contains 3 points, and each point lies on 3 lines.
The existence of this polarity shows that the Fano plane is self-dual.
The Fano plane ( example 1 above ) is not realizable since it needs at least one curve.
For example, for the Fano plane.
Example, Fano plane.
When q 2, the projective plane is called the Fano plane.
When a 2 we obtain the, by now familiar, Fano plane as an Hadamard 2-design.
This, in turn, implies that the Fano plane is self-dual.
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