Questions tagged [finite-geometry]

I have to look for a formula which gives the number of i-dimensional singular subspaces of a polar space of order $(s,t)$ and rank $n$. My idea was to prove this by induction on $i$. So I wanted to start with calculating the number of points. Here…

I've been trying to understand GraphQL queries (e.g. Wikidata) with Formal Concept Analysis but my first stumbling block is that most between-object relations at least in the Wikidata ontology are signed, they have a "from" and a "to". Let me maybe…

An affine plane of order $n$ has $n^2$ points, $n$ points per line, $n+1$ lines intersecting each point, every two points on one line, and $n^2+n$ lines. The plane can be partitioned into $n+1$ classes, each with $n$ parallel lines in it. For…

I am unable to construct an affine plane of order $5$. I currently am able to construct an affine plane for orders $3$ and $4$ but I am not able to figure out the construction of an affine plane of order $5$ using a $5\times 5$ array of dots. Could…