But I do remember it being a thing!

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Efficiently minimizing space for objects like kitchen equipment can be achieved by grouping similar shapes together, which enhances tidiness. While there may not be a specific theorem addressing this principle, ellipsoids serve as a useful model for studying packing efficiency. The discussion references famous packing problems and the knapsack problem, which relate to optimizing space and organization. Although the mathematical details are complex, the concept of shape grouping for efficiency is highlighted. Overall, the conversation emphasizes the importance of shape similarity in achieving spatial efficiency.
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Dear Mathematicians
I have noticed that when minimising the space taken by objects such as kitchen equipment on benches, great efficiencies can be achieved by putting all the long skinny things together, all the round things together, and all the same shapes together in general, regardless of size.
What is the name of the general principle at work here, please? (tidiness).
 
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I don't know the answer. I doubt there is a very general theorem, but you might be lucky searching for the following: I guess ellipsoids are a good model object to study, so maybe there is an experiment looking at how different shape ellipsoids pack together :smile:
There are some famous ones about equal shape ellipsoids.
 
This isn't precisely what you were asking but it reminded me of knapsack problems:

http://en.wikipedia.org/wiki/Knapsack_problem

In the realted pages there are also packing problems that kind of have to do with efficiency/ "tidiness".

Kind of in a similar vein.

Don't ask me to explain the math though, to be honest I only heard of it through

"Numb3rs" hahaha.
 
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