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Omni-MATH / Let A and B be points in space for which AB=1. Let R be the region of points P for which AP≤1 and BP≤1. Compute the largest possible side length of a cube contained within R.

Problem

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problem

Let AA and BB be points in space for which AB=1A B=1. Let R\mathcal{R} be the region of points PP for which AP≤1A P \leq 1 and BP≤1B P \leq 1. Compute the largest possible side length of a cube contained within R\mathcal{R}.
Plain-text mathematical notation (without MathML)
Let A and B be points in space for which AB=1. Let R be the region of points P for which AP≤1 and BP≤1. Compute the largest possible side length of a cube contained within R.
Original LaTeX notation
Let $A$ and $B$ be points in space for which $A B=1$. Let $\mathcal{R}$ be the region of points $P$ for which $A P \leq 1$ and $B P \leq 1$. Compute the largest possible side length of a cube contained within $\mathcal{R}$.

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Source and history

task_id
c0964a87-a15e-581c-b6e0-b20a1bb1c598
task_key
test--c0964a87-a15e-581c-b6e0-b20a1bb1c598
task_revision_id
1
config / split
/ test

Official source

initial import