- #1
The Bill
- 374
- 146
I've been thinking about notions like the following:
"How far can one be from the nearest road while in a particular country."
"What's the 'maximum thickness' of a subset of [itex]\mathbb{R}^n[/itex]?"
"What mountain range has the biggest circular region entirely within it?"
These sorts of questions lead to defining a quantity which is the "radius of the largest empty (hyper)sphere in the complement of a set" and solving it as a largest empty sphere problem.
Is there a more convenient name for this quantity?
"How far can one be from the nearest road while in a particular country."
"What's the 'maximum thickness' of a subset of [itex]\mathbb{R}^n[/itex]?"
"What mountain range has the biggest circular region entirely within it?"
These sorts of questions lead to defining a quantity which is the "radius of the largest empty (hyper)sphere in the complement of a set" and solving it as a largest empty sphere problem.
Is there a more convenient name for this quantity?