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8 votes
1 answer
567 views

Joining the $2^k$ points of $\{0,1\}^k$ with the shortest tree

Let $k$ be a given positive integer, and then consider the unit hypercube $\{0, 1\}^k \subset \mathbb{R}^k$ (i.e., a $k$-dimensional "cube" in the well-known Euclidean space). We need to ...
Marco Ripà's user avatar
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3 votes
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147 views

Understanding why $\frac{\phi^5}{2}$ solves this 3D optimization problem, where $\phi$ is the golden ratio

I would like to understand the deep meaning of a solution which arises from an optimization problem discussed in a paper of mine since it can be simply stated as $\frac{\phi^5}{2}$, where $\phi := \...
Marco Ripà's user avatar
  • 1,451