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Results tagged with discrete-geometry
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user 129831
Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.
17
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When is the number of areas obtained by cutting a circle with $n$ chords a power of $2$?
Also posted on the Math Stackexchange: When is the number of areas obtained by cutting a circle with $n$ chords a power of $2$?
Introduction
Recently, a friend told me about the following interestin …
- 34.4k
1
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Number of zeroes and sign switches in a constructed zero-sum double sequence
See also StackExchange.
Setup. Let $n\in\Bbb N$. Let $a_{1,1}, a_{1,2},\dots, a_{1,n}\in\Bbb R$ be a given sequence of real numbers that sum to $0$, i.e. $a_{1,n}=-(a_{1,1}+a_{1,2}+\dots+a_{1,n-1})$. …
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