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Results tagged with discrete-geometry
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user 110915
Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.
2
votes
0
answers
243
views
An Application of Helly Theorem
Let $X$ be a compact subset of $R^n$. Prove that if any $≤ n + 1$ points of $X$ can be covered by a unit ball not containing the origin then the whole $X$ can be covered by a unit ball not containing …
- 233
5
votes
2
answers
390
views
Balanced vectors
If $n$ vectors $a_1, a_2, \cdots , a_n$ are given in $\mathbb{R}^n$ with all lengths at most $1$, then it is not to hard to see that we can put $+$ and $-$ in place of $*$ in the expression
$$a_1 * a_ …
- 233